Metrics for Maksimov and Kolovsky, Equation (3)

analyze279.0ms (2.1%)

Memory

-11.0MiB live, 623.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.7s (12.9%)

Memory

63.6MiB live, 2 580.6MiB allocated

Samples

1.3s

8 256×

valid

Precisions

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

ival-mult: 369.0ms (35.7% of total)

ival-cos: 305.0ms (29.5% of total)

ival-div: 126.0ms (12.2% of total)

ival-pow2: 102.0ms (9.9% of total)

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

ival-add: 39.0ms (3.8% of total)

exact: 13.0ms (1.3% of total)

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

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

Bogosity

preprocess146.0ms (1.1%)

Memory

-91.0MiB live, 134.4MiB allocated

Algorithm

2×	egg-herbie

Rules

1 012×	`neg-mul-1`
1 002×	`distribute-lft-neg-in`
852×	`-lowering-.f32`
852×	`-lowering-.f64`
840×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	246
1	192	240
2	627	240
3	2281	240
4	4124	240
5	6814	240
0	17	24
1	33	24
2	76	24
3	202	24
4	600	24
5	1133	24
6	1541	24
7	1603	24
8	1620	24
9	1631	24
10	1633	24
11	1633	24
12	1633	24
0	1633	24

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))

Outputs

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

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

Call 2

Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2))))
(* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2))))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2))))
(neg (* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2)))))
(neg (* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2)))))
(neg (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2)))))
(* (* (* -2 K) (cos (/ J 2))) (sqrt (+ 1 (pow (/ U (* (* 2 K) (cos (/ J 2)))) 2))))
(* (* (* -2 U) (cos (/ K 2))) (sqrt (+ 1 (pow (/ J (* (* 2 U) (cos (/ K 2)))) 2))))
(* (* (* -2 J) (cos (/ U 2))) (sqrt (+ 1 (pow (/ K (* (* 2 J) (cos (/ U 2)))) 2))))

Outputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2))))
(* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2))))
(* (* (cos (/ K 2)) (* J 2)) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2))))
(* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2))))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2))))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2))))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2))))
(neg (* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2)))))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2))))
(neg (* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2)))))
(* (* (cos (/ K 2)) (* J 2)) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2))))
(neg (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2)))))
(* (* (cos (/ K 2)) (* J 2)) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2))))
(* (* (* -2 K) (cos (/ J 2))) (sqrt (+ 1 (pow (/ U (* (* 2 K) (cos (/ J 2)))) 2))))
(* (* (* -2 K) (cos (/ J 2))) (sqrt (+ 1 (pow (/ (/ (* U 1/2) K) (cos (/ J 2))) 2))))
(* (* (* -2 U) (cos (/ K 2))) (sqrt (+ 1 (pow (/ J (* (* 2 U) (cos (/ K 2)))) 2))))
(* (* (cos (/ K 2)) (* -2 U)) (sqrt (+ 1 (pow (/ J (* (cos (/ K 2)) (* 2 U))) 2))))
(* (* (* -2 J) (cos (/ U 2))) (sqrt (+ 1 (pow (/ K (* (* 2 J) (cos (/ U 2)))) 2))))
(* (* (* -2 J) (cos (* U 1/2))) (sqrt (+ 1 (pow (/ K (* (* J 2) (cos (* U 1/2)))) 2))))

Symmetry

(abs K)

(abs U)

(negabs J)

explain229.0ms (1.7%)

Memory

-2.7MiB live, 514.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
47	0	-	-	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`
32	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	113	(3.5593336333161533e+242 6.245940104382545e+294 2.986579608822431e-88)	-	`(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	113	1
`sqrt.f64`	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`	oflow-rescue	47	0
↳	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`	overflow	32
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	32
↳	`(+.f64 #s(literal 1 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	79
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	79
`*.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**	32	0

Confusion

	Predicted +	Predicted -
+	79	0
-	83	94

Precision

0.4876543209876543

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	79	0	0
-	83	1	93

Precision?

0.48466257668711654

Recall?

1.0

Freqs

test

number	freq
0	94
1	132
2	30

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

72.0ms

512×

valid

Compiler

Compiled 278 to 72 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 15.0ms (31.1% of total)

ival-cos: 11.0ms (22.8% of total)

ival-div: 8.0ms (16.6% of total)

ival-add: 5.0ms (10.4% of total)

ival-pow2: 5.0ms (10.4% of total)

ival-sqrt: 4.0ms (8.3% of total)

ival-true: 1.0ms (2.1% of total)

exact: 1.0ms (2.1% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Status

Accuracy

Program

▶

70.8%

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

Compiler

Compiled 27 to 17 computations (37% saved)

simplify77.0ms (0.6%)

Memory

13.1MiB live, 91.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

852×	`-lowering-.f32`
852×	`-lowering-.f64`
782×	`associate-*r/`
758×	`/-lowering-/.f32`
758×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	110
1	33	110
2	76	110
3	202	110
4	600	110
5	1133	110
6	1541	110
7	1603	110
8	1620	110
9	1631	110
10	1633	110
11	1633	110
12	1633	110
0	1633	110

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
-2
J
(cos (/ K 2))
(/ K 2)
K
2
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
(+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
1
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)
(/ U (* (* 2 J) (cos (/ K 2))))
U
(* (* 2 J) (cos (/ K 2)))
(* 2 J)

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

localize78.0ms (0.6%)

Memory

17.3MiB live, 137.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	99.7%	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
✓	accuracy	88.3%	(.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)))))
✓	accuracy	82.9%	(sqrt.f64 (+.f64 #s(literal 1 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

57.0ms

256×

valid

Compiler

Compiled 112 to 19 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 8.0ms (32.3% of total)

ival-cos: 5.0ms (20.2% of total)

ival-pow2: 5.0ms (20.2% of total)

ival-div: 3.0ms (12.1% of total)

ival-sqrt: 2.0ms (8.1% of total)

ival-add: 1.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.3%)

Memory

-4.3MiB live, 113.3MiB allocated

Counts

6 → 156

Calls

Call 1

Inputs
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))>
#<alt (* (* -2 J) (cos (/ K 2)))>
#<alt (* -2 J)>
#<alt (cos (/ K 2))>
#<alt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))>
#<alt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)>

Outputs
#<alt (* -1 U)>
#<alt (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* 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)))))))>
#<alt (* 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))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -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))))))))))))>
#<alt (+ (* -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)))))))))))))>
#<alt (+ (* -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))))))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
#<alt (+ (* -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))))))))>
#<alt (+ (* -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))))))))>
#<alt (* -1 U)>
#<alt (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))>
#<alt (* 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))>
#<alt (* 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))>
#<alt U>
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))>
#<alt (* -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)))>
#<alt (* -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)))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))>
#<alt (+ 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)))))))>
#<alt (+ 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)))))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))>
#<alt (+ 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))))))>
#<alt (+ 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)))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))>
#<alt (+ 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))))))>
#<alt (+ 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)))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))>
#<alt (+ (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)))))))))>
#<alt (+ (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)))))))))))>
#<alt (+ (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)))))))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>

Calls

39 calls:

Time	Variable		Point	Expression
4.0ms	U	@	0	(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)
4.0ms	K	@	0	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
4.0ms	K	@	inf	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
3.0ms	J	@	0	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
3.0ms	J	@	0	(* -2 J)

rewrite316.0ms (2.4%)

Memory

-1.8MiB live, 653.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 552×	`-lowering-.f32`
3 552×	`-lowering-.f64`
3 418×	`accelerator-lowering-fma.f32`
3 418×	`accelerator-lowering-fma.f64`
2 050×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	66
1	68	66
2	420	66
3	4348	66
0	8113	66

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 306

Calls

Call 1

Inputs
(* (* (* -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)

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

simplify684.0ms (5.2%)

Memory

12.7MiB live, 1 068.0MiB allocated

Algorithm

1×	egg-herbie

Rules

19 354×	`accelerator-lowering-fma.f32`
19 354×	`accelerator-lowering-fma.f64`
6 716×	`-lowering-.f32`
6 716×	`-lowering-.f64`
4 982×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	360	3717
1	1153	3609
2	4514	3477
0	8499	3319

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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

Outputs
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 #s(literal -2 binary64) (*.f64 J J)) (-.f64 #s(literal 0 binary64) 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))))))
(-.f64 (.f64 (.f64 J J) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (.f64 J J) (.f64 U (*.f64 U U))))))) 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))))))))
(-.f64 (.f64 (.f64 J J) (fma.f64 (.f64 J J) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (.f64 U (.f64 U U))) (.f64 #s(literal -4 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (/.f64 (.f64 J J) (pow.f64 U #s(literal 5 binary64)))))) (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U))) U)
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (.f64 (.f64 J J) (.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))
(* 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 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 (.f64 J J) (.f64 J J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)))))))
(-.f64 #s(literal 0 binary64) (.f64 J (fma.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (.f64 U U) (.f64 U U)) #s(literal -1/64 binary64)) (.f64 (.f64 (.f64 J J) (.f64 J J)) (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 #s(literal 0 binary64) (.f64 J (fma.f64 (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 (.f64 J J) (.f64 J J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) #s(literal 1/512 binary64) (fma.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J 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 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 U U) J))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(.f64 #s(literal -2 binary64) (fma.f64 (.f64 (.f64 K K) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 J (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/96 binary64) (/.f64 (.f64 (.f64 (.f64 U U) (.f64 U U)) #s(literal -1/1024 binary64)) (.f64 (.f64 (.f64 J J) (.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))) (/.f64 (.f64 #s(literal -1/256 binary64) (.f64 U U)) J)) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 J #s(literal 1/384 binary64))))) (.f64 K K) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 U U) J))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(fma.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 #s(literal -2 binary64) (fma.f64 (.f64 K K) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (.f64 J (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/96 binary64) (/.f64 (.f64 (.f64 (.f64 U U) (.f64 U U)) #s(literal -1/1024 binary64)) (.f64 (.f64 (.f64 J J) (.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))) (fma.f64 (.f64 #s(literal 1/2 binary64) J) (fma.f64 (.f64 U (.f64 U (/.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/96 binary64) (/.f64 (.f64 (.f64 (.f64 U U) (.f64 U U)) #s(literal -1/1024 binary64)) (.f64 (.f64 (.f64 J J) (.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))) (.f64 (.f64 J J) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))) #s(literal -1/32 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -17/2880 binary64)))) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/12288 binary64)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 J #s(literal -1/46080 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 J (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/96 binary64) (/.f64 (.f64 (.f64 (.f64 U U) (.f64 U U)) #s(literal -1/1024 binary64)) (.f64 (.f64 (.f64 J J) (.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))) (/.f64 (.f64 #s(literal -1/256 binary64) (.f64 U U)) J)) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 J #s(literal 1/384 binary64))))))) (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 U U) J))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (.f64 (.f64 J J) (.f64 J J)))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64)))) (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (.f64 (.f64 J J) (.f64 J J)))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 (.f64 (.f64 U U) K) K)) (.f64 J J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J 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 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 K K)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 K K)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/96 binary64) (/.f64 (.f64 (.f64 (.f64 U U) (.f64 U U)) #s(literal -1/1024 binary64)) (.f64 (.f64 (.f64 J J) (.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 U U)) (.f64 J J))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J 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 (.f64 K K) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (fma.f64 (.f64 K K) (fma.f64 (.f64 U (.f64 U (/.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/96 binary64) (/.f64 (.f64 (.f64 (.f64 U U) (.f64 U U)) #s(literal -1/1024 binary64)) (.f64 (.f64 (.f64 J J) (.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))) (.f64 (.f64 J J) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))) #s(literal -1/32 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -17/2880 binary64)))) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/96 binary64) (/.f64 (.f64 (.f64 (.f64 U U) (.f64 U U)) #s(literal -1/1024 binary64)) (.f64 (.f64 (.f64 J J) (.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))))) (.f64 K K)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 U U)) (.f64 J J)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(.f64 (/.f64 (.f64 U U) (.f64 J J)) (fma.f64 #s(literal 1/16 binary64) (.f64 K K) #s(literal 1/4 binary64)))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(fma.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/96 binary64))) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (fma.f64 #s(literal 1/16 binary64) (.f64 K K) #s(literal 1/4 binary64))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(fma.f64 K (.f64 K (.f64 (.f64 #s(literal -1/4 binary64) (.f64 K K)) (fma.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -17/2880 binary64)) (/.f64 (.f64 (.f64 U U) #s(literal -1/24 binary64)) (.f64 J J))))) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (fma.f64 #s(literal 1/16 binary64) (*.f64 K K) #s(literal 1/4 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))

eval81.0ms (0.6%)

Memory: -2.2MiB live, 186.6MiB allocated
Compiler: Compiled 16 444 to 1 764 computations (89.3% saved)

prune71.0ms (0.5%)

Memory

22.0MiB live, 176.4MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	469	11	480
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	470	11	481

Accuracy

99.9%

Counts

481 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.5%	(fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	41.5%	(-.f64 #s(literal 0 binary64) U)
	38.1%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	59.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))) J)
▶	50.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
	64.1%	(.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) #s(literal 1 binary64))) #s(literal 2 binary64)))))
▶	70.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (/.f64 U (.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64))))))))))))
▶	41.1%	(.f64 (.f64 #s(literal -2 binary64) 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)))))
▶	30.7%	(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))
	50.7%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
▶	12.9%	U

Compiler

Compiled 508 to 336 computations (33.9% saved)

simplify394.0ms (3%)

Memory

-19.2MiB live, 692.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	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))))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) J)
✓	cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) 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)))))
✓	cost-diff	384	(/.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 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
✓	cost-diff	384	(/.f64 K #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (.f64 U U) (.f64 J J))
✓	cost-diff	0	(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))
✓	cost-diff	384	(.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (/.f64 U (.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))
✓	cost-diff	384	(/.f64 K #s(literal 2 binary64))
✓	cost-diff	640	(.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))
✓	cost-diff	640	(.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))

Rules

11 026×	`accelerator-lowering-fma.f32`
11 026×	`accelerator-lowering-fma.f64`
7 390×	`-lowering-.f32`
7 390×	`-lowering-.f64`
3 430×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	436
1	100	418
2	275	376
3	688	376
4	2744	376
5	2949	376
6	3344	376
7	5340	376
8	5580	376
9	5688	376
0	8910	360

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize160.0ms (1.2%)

Memory

9.9MiB live, 259.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	99.7%	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
✓	accuracy	88.3%	(.f64 (.f64 #s(literal -2 binary64) 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)))))
✓	accuracy	82.9%	(sqrt.f64 (+.f64 #s(literal 1 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	99.8%	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	88.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
✓	accuracy	83.2%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))
✓	accuracy	77.4%	(/.f64 (.f64 U U) (.f64 J J))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) J)
✓	accuracy	88.3%	(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))
✓	accuracy	83.2%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))
✓	accuracy	77.4%	(/.f64 (.f64 U U) (.f64 J J))
✓	accuracy	99.8%	(.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (/.f64 U (.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))
✓	accuracy	99.4%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
✓	accuracy	88.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (/.f64 U (.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64))))))))))))
✓	accuracy	82.9%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (/.f64 U (.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))

Samples

87.0ms

256×

valid

Compiler

Compiled 436 to 42 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 28.0ms (47.1% of total)

ival-cos: 10.0ms (16.8% of total)

ival-div: 8.0ms (13.4% of total)

ival-add: 5.0ms (8.4% of total)

ival-sqrt: 5.0ms (8.4% of total)

ival-pow2: 2.0ms (3.4% of total)

exact: 1.0ms (1.7% of total)

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

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

series60.0ms (0.5%)

Memory

10.1MiB live, 85.3MiB allocated

Counts

18 → 468

Calls

Call 1

Inputs
#<alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))>
#<alt (* 2 (* K 1/2))>
#<alt (/ K 2)>
#<alt (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))>
#<alt (* (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (* -2 J))>
#<alt (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1))>
#<alt (+ (* 1/4 (/ (* U U) (* J J))) 1)>
#<alt (/ (* U U) (* J J))>
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)))>
#<alt (* (* -2 J) (cos (/ K 2)))>
#<alt (* -2 J)>
#<alt (* (* -2 J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))>
#<alt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))>
#<alt (sqrt (+ 1 (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))))>
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))>
#<alt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)>
#<alt (* (* 2 J) (cos (/ K 2)))>

Outputs
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 J)>
#<alt (+ (* -1/2 (* J (pow K 2))) (* 2 J))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
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#<alt (+ (* -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))))))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))>
#<alt (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))>
#<alt (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))>
#<alt (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))>
#<alt (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))>
#<alt (* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 J)>
#<alt (+ (* -1/4 (* J (pow K 2))) (* 2 J))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>

Calls

117 calls:

Time	Variable		Point	Expression
6.0ms	J	@	inf	(* (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (* -2 J))
4.0ms	K	@	-inf	(* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))
2.0ms	U	@	0	(sqrt (+ 1 (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))))
2.0ms	J	@	inf	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))))
1.0ms	U	@	0	(* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))

rewrite440.0ms (3.4%)

Memory

5.8MiB live, 717.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 070×	`accelerator-lowering-fma.f32`
10 070×	`accelerator-lowering-fma.f64`
4 344×	`-lowering-.f32`
4 344×	`-lowering-.f64`
4 230×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	245
1	196	195
2	1543	189
0	8502	183

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1 270

Calls

Call 1

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

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

simplify717.0ms (5.5%)

Memory

-7.7MiB live, 677.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 316×	`accelerator-lowering-fma.f32`
11 316×	`accelerator-lowering-fma.f64`
8 076×	`-lowering-.f32`
8 076×	`-lowering-.f64`
4 940×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	852	10305
1	2770	10031
0	8437	9436

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

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

Outputs
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 #s(literal 2 binary64) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 #s(literal 2 binary64) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 #s(literal 2 binary64) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 #s(literal 2 binary64) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 #s(literal 2 binary64) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 #s(literal 2 binary64) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 #s(literal 2 binary64) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 #s(literal 2 binary64) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 #s(literal 2 binary64) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 #s(literal 2 binary64) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 #s(literal 2 binary64) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 #s(literal 2 binary64) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(+ (* -1/2 (* J (pow K 2))) (* 2 J))
(fma.f64 #s(literal 2 binary64) J (.f64 #s(literal -1/2 binary64) (.f64 J (*.f64 K K))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))
(fma.f64 (.f64 (fma.f64 J #s(literal -1/2 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/24 binary64))) K) K (*.f64 #s(literal 2 binary64) J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))
(fma.f64 (.f64 K K) (fma.f64 J #s(literal -1/2 binary64) (.f64 (.f64 K K) (fma.f64 J #s(literal 1/24 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal -1/720 binary64))))) (*.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 #s(literal 2 binary64) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 #s(literal 2 binary64) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 #s(literal 2 binary64) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 #s(literal 2 binary64) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 #s(literal 2 binary64) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 #s(literal 2 binary64) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 #s(literal 2 binary64) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 #s(literal 2 binary64) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
K
K
K
K
K
K
K
K
K
K
K
K
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (*.f64 J J))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(fma.f64 (.f64 K K) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 U U)) (.f64 J J)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (*.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))))))
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(fma.f64 (.f64 J J) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (.f64 U (.f64 U U))) (/.f64 (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)) (/.f64 (-.f64 #s(literal 0 binary64) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+ (* -1 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))))))))
(fma.f64 (.f64 J J) (fma.f64 (.f64 J J) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (.f64 U (.f64 U U))) (/.f64 (.f64 (.f64 #s(literal -4 binary64) (.f64 J J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (pow.f64 U #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)) (/.f64 (-.f64 #s(literal 0 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* J (- (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 2))
(.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(* J (- (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) 2))
(.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) #s(literal -2 binary64))))
(* J (- (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) 2))
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(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
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(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))
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(* -2 J)
(*.f64 J #s(literal -2 binary64))
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(* U (- (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 3)) (pow U 4)))) (/ 1 (cos (* 1/2 K)))))
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(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 3)) (pow U 4))))) (/ 1 (cos (* 1/2 K)))))
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(/ U (cos (* 1/2 K)))
(/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (/ 1 (cos (* 1/2 K))))))
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(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 3)) (pow U 4))))) (/ 1 (cos (* 1/2 K))))))
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(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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1
#s(literal 1 binary64)
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(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 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)
(+ (* -1/4 (* J (pow K 2))) (* 2 J))
(fma.f64 #s(literal 2 binary64) J (.f64 (.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))
(fma.f64 (.f64 (fma.f64 J #s(literal -1/4 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/192 binary64))) K) K (*.f64 #s(literal 2 binary64) J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J #s(literal 1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal -1/23040 binary64))) (.f64 J #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) J))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))

eval610.0ms (4.6%)

Memory: 25.4MiB live, 495.6MiB allocated
Compiler: Compiled 61 522 to 5 720 computations (90.7% saved)

prune298.0ms (2.3%)

Memory

-19.0MiB live, 627.5MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	2 088	15	2 103
Fresh	3	3	6
Picked	4	1	5
Done	0	0	0
Total	2 095	19	2 114

Accuracy

99.9%

Counts

2 114 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.5%	(fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))
▶	49.5%	(fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
▶	41.5%	(-.f64 #s(literal 0 binary64) U)
	28.4%	(.f64 (fma.f64 (.f64 K K) (.f64 J #s(literal 1/4 binary64)) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
	21.3%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 J #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 J (.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (.f64 #s(literal 0 binary64) (.f64 (.f64 J #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
	38.1%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	31.3%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 J #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
▶	11.7%	(.f64 (-.f64 #s(literal 0 binary64) U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
	31.5%	(.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 J J) #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (.f64 J #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
	9.2%	(.f64 (.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))) (.f64 #s(literal -2 binary64) J))
	46.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
	64.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))
▶	67.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))))
	59.4%	(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))) #s(literal -2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
▶	50.7%	(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
	9.6%	(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 U J)) (*.f64 #s(literal -2 binary64) J))
	44.2%	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
	28.7%	(*.f64 J #s(literal -2 binary64))
✓	12.9%	U

Compiler

Compiled 844 to 561 computations (33.5% saved)

simplify267.0ms (2%)

Memory

-22.3MiB live, 334.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) K)
✓	cost-diff	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓	cost-diff	0	(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
✓	cost-diff	0	(fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
✓	cost-diff	-64	(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) K)
✓	cost-diff	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓	cost-diff	0	(*.f64 J #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (.f64 J J) (.f64 U U))
✓	cost-diff	0	(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (.f64 U U)) #s(literal -1 binary64))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) U)
✓	cost-diff	896	(.f64 (-.f64 #s(literal 0 binary64) U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) U)
✓	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) (/.f64 (.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))))
✓	cost-diff	192	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U J) U) (.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))
✓	cost-diff	384	(/.f64 (.f64 (/.f64 U J) U) (.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))

Rules

5 032×	`accelerator-lowering-fma.f32`
5 032×	`accelerator-lowering-fma.f64`
3 618×	`-lowering-.f32`
3 618×	`-lowering-.f64`
1 698×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	252
1	104	252
2	264	251
3	728	251
4	2786	247
5	6308	247
0	8117	235

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
-2
J
(cos (/ K 2))
(/ K 2)
K
2
(sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))))
(+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))
1
(/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))
(* (/ U J) U)
(/ U J)
U
(* 2 (+ (* J (cos K)) J))
(+ (* J (cos K)) J)
(cos K)
(- 0 U)
0
U
(* (- 0 U) (+ (* -2 (/ (* J J) (* U U))) -1))
(- 0 U)
0
U
(+ (* -2 (/ (* J J) (* U U))) -1)
-2
(/ (* J J) (* U U))
(* J J)
J
(* U U)
-1
(* (* J -2) (cos (* 1/2 K)))
(* J -2)
J
-2
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K)))))
-2
(* J (cos (* 1/2 K)))
J
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))
(* -1/4 (* U U))
-1/4
(* U U)
U

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

localize192.0ms (1.5%)

Memory

10.9MiB live, 212.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓	accuracy	100.0%	(.f64 #s(literal -1/4 binary64) (.f64 U U))
✓	accuracy	99.8%	(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
✓	accuracy	89.3%	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
✓	accuracy	100.0%	(*.f64 J #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) K)
✓	accuracy	100.0%	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓	accuracy	99.8%	(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓	accuracy	100.0%	(*.f64 U U)
✓	accuracy	100.0%	(*.f64 J J)
✓	accuracy	94.4%	(.f64 (-.f64 #s(literal 0 binary64) U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
✓	accuracy	77.1%	(/.f64 (.f64 J J) (.f64 U U))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) U)
✓	accuracy	99.5%	(fma.f64 J (cos.f64 K) J)
✓	accuracy	94.7%	(/.f64 (.f64 (/.f64 U J) U) (.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))
✓	accuracy	88.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U J) U) (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))))
✓	accuracy	82.9%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U J) U) (.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))

Samples

113.0ms

256×

valid

Compiler

Compiled 248 to 42 computations (83.1% saved)

Precisions

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

ival-mult: 31.0ms (38.2% of total)

ival-add: 24.0ms (29.6% of total)

ival-cos: 14.0ms (17.3% of total)

ival-div: 8.0ms (9.9% of total)

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

ival-sub: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

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

series98.0ms (0.7%)

Memory

27.2MiB live, 105.6MiB allocated

Counts

20 → 468

Calls

Call 1

Inputs
#<alt (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))>
#<alt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))>
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))))>
#<alt (* (* -2 J) (cos (/ K 2)))>
#<alt (- 0 U)>
#<alt (* (- 0 U) (+ (* -2 (/ (* J J) (* U U))) -1))>
#<alt (+ (* -2 (/ (* J J) (* U U))) -1)>
#<alt (/ (* J J) (* U U))>
#<alt (* J -2)>
#<alt (cos (* 1/2 K))>
#<alt (* 1/2 K)>
#<alt (* (* J -2) (cos (* 1/2 K)))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K)))))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))))>
#<alt (+ (* J (cos K)) J)>
#<alt (* J J)>
#<alt (* U U)>
#<alt (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))>
#<alt (* -1/4 (* U U))>

Outputs
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))>
#<alt (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))>
#<alt (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))>
#<alt (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))>
#<alt (+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))>
#<alt (+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K))))))>
#<alt (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))))>
#<alt (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))>
#<alt (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 5) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (cos (* 1/2 K)) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (* 2 (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (- (* -1 (cos K)) 1) 3)))) (* 2 (cos (* 1/2 K))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -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))))))))))))>
#<alt (+ (* -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 (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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)))))))))))))>
#<alt (+ (* -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 (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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 (- (* -1/2 (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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 (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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))))))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (+ J (* J (cos K))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (+ J (* J (cos K))))) (* 1/16 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (pow (+ J (* J (cos K))) 2)))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (+ J (* J (cos K))))) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (+ J (* J (cos K))) 3)))) (* 1/16 (/ (cos (* 1/2 K)) (* J (pow (+ J (* J (cos K))) 2)))))))))>
#<alt (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* U (* (cos (* 1/2 K)) (sqrt 1/2)))))>
#<alt (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2)))))))>
#<alt (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3))))))))>
#<alt (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (* (pow J 7) (pow (+ J (* J (cos K))) 5))) (/ (cos (* 1/2 K)) (* (pow U 6) (pow (sqrt 1/2) 5))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3)))))))))>
#<alt (* 2 (* (sqrt (/ J (+ J (* J (cos K))))) (* U (* (cos (* 1/2 K)) (sqrt 1/2)))))>
#<alt (* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))))))>
#<alt (* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3)))))))))>
#<alt (* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (* (pow J 7) (pow (+ J (* J (cos K))) 5))) (/ (cos (* 1/2 K)) (* (pow U 6) (pow (sqrt 1/2) 5))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3))))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* 2 (/ (pow J 2) U))>
#<alt (/ (+ (* 2 (pow J 2)) (pow U 2)) U)>
#<alt (/ (+ (* 2 (pow J 2)) (pow U 2)) U)>
#<alt (/ (+ (* 2 (pow J 2)) (pow U 2)) U)>
#<alt U>
#<alt (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2)))))>
#<alt (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2)))))>
#<alt (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2)))))>
#<alt U>
#<alt (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))>
#<alt (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))>
#<alt (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))>
#<alt U>
#<alt (+ U (* 2 (/ (pow J 2) U)))>
#<alt (+ U (* 2 (/ (pow J 2) U)))>
#<alt (+ U (* 2 (/ (pow J 2) U)))>
#<alt (* 2 (/ (pow J 2) U))>
#<alt (* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2))))>
#<alt (* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2))))>
#<alt (* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2))))>
#<alt (* 2 (/ (pow J 2) U))>
#<alt (* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2))))>
#<alt (* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2))))>
#<alt (* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2))))>
#<alt -1>
#<alt (- (* -2 (/ (pow J 2) (pow U 2))) 1)>
#<alt (- (* -2 (/ (pow J 2) (pow U 2))) 1)>
#<alt (- (* -2 (/ (pow J 2) (pow U 2))) 1)>
#<alt (* -2 (/ (pow J 2) (pow U 2)))>
#<alt (* -1 (* (pow J 2) (+ (* 2 (/ 1 (pow U 2))) (/ 1 (pow J 2)))))>
#<alt (* -1 (* (pow J 2) (+ (* 2 (/ 1 (pow U 2))) (/ 1 (pow J 2)))))>
#<alt (* -1 (* (pow J 2) (+ (* 2 (/ 1 (pow U 2))) (/ 1 (pow J 2)))))>
#<alt (* -2 (/ (pow J 2) (pow U 2)))>
#<alt (* -1 (* (pow J 2) (+ (* 2 (/ 1 (pow U 2))) (/ 1 (pow J 2)))))>
#<alt (* -1 (* (pow J 2) (+ (* 2 (/ 1 (pow U 2))) (/ 1 (pow J 2)))))>
#<alt (* -1 (* (pow J 2) (+ (* 2 (/ 1 (pow U 2))) (/ 1 (pow J 2)))))>
#<alt (* -2 (/ (pow J 2) (pow U 2)))>
#<alt (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) (pow U 2))>
#<alt (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) (pow U 2))>
#<alt (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) (pow U 2))>
#<alt -1>
#<alt (- (* -2 (/ (pow J 2) (pow U 2))) 1)>
#<alt (- (* -2 (/ (pow J 2) (pow U 2))) 1)>
#<alt (- (* -2 (/ (pow J 2) (pow U 2))) 1)>
#<alt -1>
#<alt (- (* -2 (/ (pow J 2) (pow U 2))) 1)>
#<alt (- (* -2 (/ (pow J 2) (pow U 2))) 1)>
#<alt (- (* -2 (/ (pow J 2) (pow U 2))) 1)>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
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#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
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#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>

Calls

117 calls:

Time	Variable		Point	Expression
32.0ms	J	@	0	(* (- 0 U) (+ (* -2 (/ (* J J) (* U U))) -1))
24.0ms	J	@	0	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))))
2.0ms	K	@	0	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))))
2.0ms	U	@	inf	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))))
1.0ms	U	@	0	(/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))

rewrite757.0ms (5.8%)

Memory

-12.8MiB live, 672.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 974×	`-lowering-.f32`
5 974×	`-lowering-.f64`
4 626×	`/-lowering-/.f32`
4 626×	`/-lowering-/.f64`
3 284×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	189
1	201	183
2	1718	183
0	8938	172

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 476

Calls

Call 1

Inputs
(/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))
(+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))))
(* (* -2 J) (cos (/ K 2)))
(- 0 U)
(* (- 0 U) (+ (* -2 (/ (* J J) (* U U))) -1))
(+ (* -2 (/ (* J J) (* U U))) -1)
(/ (* J J) (* U U))
(* J -2)
(cos (* 1/2 K))
(* 1/2 K)
(* (* J -2) (cos (* 1/2 K)))
(+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K)))))
(* J (cos (* 1/2 K)))
(sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))))
(+ (* J (cos K)) J)
(* J J)
(* U U)
(/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))
(* -1/4 (* U U))

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

simplify743.0ms (5.7%)

Memory

-8.8MiB live, 938.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 556×	`accelerator-lowering-fma.f32`
11 556×	`accelerator-lowering-fma.f64`
8 112×	`-lowering-.f32`
8 112×	`-lowering-.f64`
3 188×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	597	7696
1	1948	7518
2	7542	7491
0	8122	7053

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

Inputs
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))
(* 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) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
1
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))
1
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
1
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(+ 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) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K))))))
(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))))
(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))
(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 5) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (cos (* 1/2 K)) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (- (* -1 (cos K)) 1) 3)))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(+ 1 (+ (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (+ (* 1/128 (/ (pow U 6) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))
1
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(+ 1 (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2))))))
(+ 1 (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (* -1/128 (/ (pow U 6) (* (pow J 6) (pow (- (* -1 (cos K)) 1) 3)))))))
(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) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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)))))) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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) (- (* -1/2 (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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)))))))))))))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(* J (+ 1 (cos K)))
(* J (+ 1 (cos K)))
(* J (+ 1 (cos K)))
(* J (+ 1 (cos K)))
(* J (+ 1 (cos K)))
(* J (+ 1 (cos K)))
(* J (+ 1 (cos K)))
(* J (+ 1 (cos K)))
(* -1 (* J (- (* -1 (cos K)) 1)))
(* -1 (* J (- (* -1 (cos K)) 1)))
(* -1 (* J (- (* -1 (cos K)) 1)))
(* -1 (* J (- (* -1 (cos K)) 1)))
(* 2 J)
(+ (* -1/2 (* J (pow K 2))) (* 2 J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))
(+ J (* J (cos K)))
(+ J (* J (cos K)))
(+ J (* J (cos K)))
(+ J (* J (cos K)))
(+ J (* J (cos K)))
(+ J (* J (cos K)))
(+ J (* J (cos K)))
(+ J (* J (cos K)))
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) J))
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))

Outputs
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 U U)) (.f64 J (.f64 J (-.f64 #s(literal -1 binary64) (cos.f64 K)))))
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 U U)) (.f64 J (.f64 J (-.f64 #s(literal -1 binary64) (cos.f64 K)))))
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 U U)) (.f64 J (.f64 J (-.f64 #s(literal -1 binary64) (cos.f64 K)))))
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 U U)) (.f64 J (.f64 J (-.f64 #s(literal -1 binary64) (cos.f64 K)))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (*.f64 J J))))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(fma.f64 (.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/16 binary64)) K) K (.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (*.f64 J J)))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(fma.f64 (.f64 K K) (fma.f64 K (.f64 K (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/96 binary64))) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/16 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (*.f64 J J)))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))))
(fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) (.f64 (.f64 K K) (fma.f64 (.f64 (.f64 K K) #s(literal -1/2 binary64)) (fma.f64 (.f64 K K) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/192 binary64) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 13/5760 binary64))) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/48 binary64))) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/16 binary64)))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (+.f64 (cos.f64 K) #s(literal 1 binary64))) (.f64 J J)) (*.f64 J J))
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (+.f64 (cos.f64 K) #s(literal 1 binary64))) (.f64 J J)) (*.f64 J J))
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (+.f64 (cos.f64 K) #s(literal 1 binary64))) (.f64 J J)) (*.f64 J J))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 U U) (.f64 J (*.f64 J (-.f64 #s(literal -1 binary64) (cos.f64 K))))) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 U U) (.f64 J (*.f64 J (-.f64 #s(literal -1 binary64) (cos.f64 K))))) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 U U) (.f64 J (*.f64 J (-.f64 #s(literal -1 binary64) (cos.f64 K))))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64))
(+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))
(fma.f64 (.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/16 binary64)) K) K (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)))
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(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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) (- (* -1/2 (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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 (.f64 K K) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)))) #s(literal 1/32 binary64)) (.f64 (.f64 K K) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)))) (+.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/96 binary64) (/.f64 (.f64 #s(literal -1/1024 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)) (.f64 J (.f64 J (.f64 J J)))))) (.f64 K (.f64 K (fma.f64 #s(literal -1/32 binary64) (.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/96 binary64) (/.f64 (.f64 #s(literal -1/1024 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)) (.f64 J (.f64 J (.f64 J J)))))) (/.f64 (.f64 U U) (.f64 (.f64 J J) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64))))) (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/192 binary64) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 13/5760 binary64)))))))))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64))))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))
(* J (+ 1 (cos K)))
(fma.f64 J (cos.f64 K) J)
(* J (+ 1 (cos K)))
(fma.f64 J (cos.f64 K) J)
(* J (+ 1 (cos K)))
(fma.f64 J (cos.f64 K) J)
(* J (+ 1 (cos K)))
(fma.f64 J (cos.f64 K) J)
(* J (+ 1 (cos K)))
(fma.f64 J (cos.f64 K) J)
(* J (+ 1 (cos K)))
(fma.f64 J (cos.f64 K) J)
(* J (+ 1 (cos K)))
(fma.f64 J (cos.f64 K) J)
(* J (+ 1 (cos K)))
(fma.f64 J (cos.f64 K) J)
(* -1 (* J (- (* -1 (cos K)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 J (-.f64 #s(literal -1 binary64) (cos.f64 K))))
(* -1 (* J (- (* -1 (cos K)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 J (-.f64 #s(literal -1 binary64) (cos.f64 K))))
(* -1 (* J (- (* -1 (cos K)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 J (-.f64 #s(literal -1 binary64) (cos.f64 K))))
(* -1 (* J (- (* -1 (cos K)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 J (-.f64 #s(literal -1 binary64) (cos.f64 K))))
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(+ (* -1/2 (* J (pow K 2))) (* 2 J))
(fma.f64 #s(literal 2 binary64) J (.f64 J (.f64 #s(literal -1/2 binary64) (*.f64 K K))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))
(fma.f64 K (.f64 K (fma.f64 J #s(literal -1/2 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/24 binary64)))) (*.f64 #s(literal 2 binary64) J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J (.f64 (.f64 K K) #s(literal -1/720 binary64)) (.f64 J #s(literal 1/24 binary64))) (.f64 J #s(literal -1/2 binary64))) (*.f64 #s(literal 2 binary64) J))
(+ J (* J (cos K)))
(fma.f64 J (cos.f64 K) J)
(+ J (* J (cos K)))
(fma.f64 J (cos.f64 K) J)
(+ J (* J (cos K)))
(fma.f64 J (cos.f64 K) J)
(+ J (* J (cos K)))
(fma.f64 J (cos.f64 K) J)
(+ J (* J (cos K)))
(fma.f64 J (cos.f64 K) J)
(+ J (* J (cos K)))
(fma.f64 J (cos.f64 K) J)
(+ J (* J (cos K)))
(fma.f64 J (cos.f64 K) J)
(+ J (* J (cos K)))
(fma.f64 J (cos.f64 K) J)
(pow J 2)
(*.f64 J J)
(pow J 2)
(*.f64 J J)
(pow J 2)
(*.f64 J J)
(pow J 2)
(*.f64 J J)
(pow J 2)
(*.f64 J J)
(pow J 2)
(*.f64 J J)
(pow J 2)
(*.f64 J J)
(pow J 2)
(*.f64 J J)
(pow J 2)
(*.f64 J J)
(pow J 2)
(*.f64 J J)
(pow J 2)
(*.f64 J J)
(pow J 2)
(*.f64 J J)
(pow U 2)
(*.f64 U U)
(pow U 2)
(*.f64 U U)
(pow U 2)
(*.f64 U U)
(pow U 2)
(*.f64 U U)
(pow U 2)
(*.f64 U U)
(pow U 2)
(*.f64 U U)
(pow U 2)
(*.f64 U U)
(pow U 2)
(*.f64 U U)
(pow U 2)
(*.f64 U U)
(pow U 2)
(*.f64 U U)
(pow U 2)
(*.f64 U U)
(pow U 2)
(*.f64 U U)
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) J))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J)
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))
(fma.f64 K (.f64 K (/.f64 (.f64 (.f64 U U) #s(literal -1/32 binary64)) J)) (/.f64 (.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))
(fma.f64 K (.f64 K (fma.f64 (.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -5/1536 binary64)) K) K (/.f64 (.f64 (.f64 U U) #s(literal -1/32 binary64)) J))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal -1/4 binary64) J) (.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (.f64 U U) J) #s(literal 7/23040 binary64) (.f64 (/.f64 (.f64 U U) J) #s(literal -5/3072 binary64)))) (.f64 (/.f64 (.f64 U U) J) #s(literal -5/1536 binary64))) (/.f64 (.f64 (*.f64 U U) #s(literal -1/32 binary64)) J))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))

eval184.0ms (1.4%)

Memory: 7.1MiB live, 316.4MiB allocated
Compiler: Compiled 28 985 to 2 324 computations (92% saved)

prune127.0ms (1%)

Memory

-2.0MiB live, 278.0MiB allocated

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	1 109	12	1 121
Fresh	3	10	13
Picked	4	1	5
Done	0	1	1
Total	1 116	24	1 140

Accuracy

100.0%

Counts

1 140 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.1%	(fma.f64 (.f64 U #s(literal -1/4 binary64)) (/.f64 U (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
▶	28.5%	(fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J))
	27.0%	(fma.f64 J #s(literal -2 binary64) (.f64 J (.f64 #s(literal 1/4 binary64) (*.f64 K K))))
	48.7%	(fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J))
▶	30.0%	(/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 J #s(literal -2 binary64))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
▶	2.5%	(/.f64 (.f64 (fma.f64 (.f64 J #s(literal -2 binary64)) (/.f64 J (fma.f64 U U #s(literal 0 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (fma.f64 U U #s(literal 0 binary64))))) (fma.f64 U U #s(literal 0 binary64)))
	2.3%	(/.f64 (.f64 #s(literal 2 binary64) (.f64 J J)) U)
	21.3%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 J #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 J (.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (.f64 #s(literal 0 binary64) (.f64 (.f64 J #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
	38.1%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	31.3%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 J #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
	12.7%	(.f64 (-.f64 #s(literal 0 binary64) U) (fma.f64 (/.f64 J U) (.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)))
	31.5%	(.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 J J) #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (.f64 J #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
	9.2%	(.f64 (.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))) (.f64 #s(literal -2 binary64) J))
▶	67.5%	(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U J) U) (.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))))
	64.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))
	59.4%	(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))) #s(literal -2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
	23.9%	(.f64 (.f64 U U) (fma.f64 J (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
	7.4%	(.f64 (.f64 J J) (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 U (*.f64 J J))))
✓	50.7%	(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
	9.6%	(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 U J)) (*.f64 #s(literal -2 binary64) J))
	44.2%	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
	28.7%	(*.f64 J #s(literal -2 binary64))
▶	41.5%	(neg.f64 U)
✓	12.9%	U

Compiler

Compiled 1 011 to 652 computations (35.5% saved)

simplify266.0ms (2%)

Memory

21.9MiB live, 550.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) K)
✓	cost-diff	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓	cost-diff	0	(/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 J #s(literal -2 binary64))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
✓	cost-diff	64	(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 J #s(literal -2 binary64))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
✓	cost-diff	0	(/.f64 J (fma.f64 U U #s(literal 0 binary64)))
✓	cost-diff	0	(fma.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 J (fma.f64 U U #s(literal 0 binary64))) #s(literal -1 binary64))
✓	cost-diff	1152	(/.f64 (.f64 (fma.f64 (.f64 J #s(literal -2 binary64)) (/.f64 J (fma.f64 U U #s(literal 0 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (fma.f64 U U #s(literal 0 binary64))))) (fma.f64 U U #s(literal 0 binary64)))
✓	cost-diff	1408	(.f64 (fma.f64 (.f64 J #s(literal -2 binary64)) (/.f64 J (fma.f64 U U #s(literal 0 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (fma.f64 U U #s(literal 0 binary64)))))
✓	cost-diff	-64	(*.f64 U U)
✓	cost-diff	-64	(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J)
✓	cost-diff	0	(.f64 (.f64 U U) #s(literal -1/4 binary64))
✓	cost-diff	0	(fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J))
✓	cost-diff	-64	(neg.f64 U)
✓	cost-diff	0	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
✓	cost-diff	64	(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U J) U) (.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))))
✓	cost-diff	192	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U J) U) (.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))
✓	cost-diff	384	(/.f64 (.f64 (/.f64 U J) U) (.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))

Rules

8 294×	`accelerator-lowering-fma.f32`
8 294×	`accelerator-lowering-fma.f64`
3 490×	`-lowering-.f32`
3 490×	`-lowering-.f64`
1 828×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	319
1	119	311
2	284	311
3	713	301
4	2585	297
5	5038	295
6	7689	295
0	8269	281

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))))
(* (* J (cos (* K 1/2))) -2)
(* J (cos (* K 1/2)))
J
(cos (* K 1/2))
(* K 1/2)
K
1/2
-2
(sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))))
(+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))
1
(/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))
(* (/ U J) U)
(/ U J)
U
(* 2 (+ (* J (cos K)) J))
2
(+ (* J (cos K)) J)
(cos K)
(neg U)
U
(+ (* J -2) (/ (* (* U U) -1/4) J))
J
-2
(/ (* (* U U) -1/4) J)
(* (* U U) -1/4)
(* U U)
U
-1/4
(/ (* (+ (* (* J -2) (/ J (+ (* U U) 0))) -1) (- 0 (* U (+ (* U U) 0)))) (+ (* U U) 0))
(* (+ (* (* J -2) (/ J (+ (* U U) 0))) -1) (- 0 (* U (+ (* U U) 0))))
(+ (* (* J -2) (/ J (+ (* U U) 0))) -1)
(* J -2)
J
-2
(/ J (+ (* U U) 0))
(+ (* U U) 0)
U
0
-1
(- 0 (* U (+ (* U U) 0)))
(* U (+ (* U U) 0))
(/ (+ (* (cos (* 1/2 K)) (* J (* J -2))) (/ (* (* U U) -1/4) (cos (* 1/2 K)))) J)
(+ (* (cos (* 1/2 K)) (* J (* J -2))) (/ (* (* U U) -1/4) (cos (* 1/2 K))))
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(* J (* J -2))
J
(* J -2)
-2
(/ (* (* U U) -1/4) (cos (* 1/2 K)))
(* (* U U) -1/4)
(* U U)
U
-1/4

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

localize172.0ms (1.3%)

Memory

-3.0MiB live, 286.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 U U) #s(literal -1/4 binary64))
✓	accuracy	99.9%	(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 J #s(literal -2 binary64))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
✓	accuracy	99.9%	(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓	accuracy	71.7%	(/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 J #s(literal -2 binary64))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
✓	accuracy	98.1%	(fma.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 J (fma.f64 U U #s(literal 0 binary64))) #s(literal -1 binary64))
✓	accuracy	89.5%	(/.f64 J (fma.f64 U U #s(literal 0 binary64)))
✓	accuracy	78.7%	(.f64 (fma.f64 (.f64 J #s(literal -2 binary64)) (/.f64 J (fma.f64 U U #s(literal 0 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (fma.f64 U U #s(literal 0 binary64)))))
✓	accuracy	50.4%	(/.f64 (.f64 (fma.f64 (.f64 J #s(literal -2 binary64)) (/.f64 J (fma.f64 U U #s(literal 0 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (fma.f64 U U #s(literal 0 binary64))))) (fma.f64 U U #s(literal 0 binary64)))
✓	accuracy	100.0%	(fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J))
✓	accuracy	100.0%	(*.f64 U U)
✓	accuracy	100.0%	(.f64 (.f64 U U) #s(literal -1/4 binary64))
✓	accuracy	89.4%	(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J)
✓	accuracy	100.0%	(neg.f64 U)
✓	accuracy	99.5%	(fma.f64 J (cos.f64 K) J)
✓	accuracy	94.7%	(/.f64 (.f64 (/.f64 U J) U) (.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))
✓	accuracy	88.3%	(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U J) U) (.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))))
✓	accuracy	82.9%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U J) U) (.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))))

Samples

113.0ms

256×

valid

Compiler

Compiled 322 to 47 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 48.0ms (53.8% of total)

ival-cos: 18.0ms (20.2% of total)

ival-div: 11.0ms (12.3% of total)

ival-add: 7.0ms (7.8% of total)

ival-sqrt: 2.0ms (2.2% of total)

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

exact: 1.0ms (1.1% of total)

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

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

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

series30.0ms (0.2%)

Memory

-3.0MiB live, 74.3MiB allocated

Counts

20 → 492

Calls

Call 1

Inputs
#<alt (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))>
#<alt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))>
#<alt (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))))>
#<alt (* J (cos (* K 1/2)))>
#<alt (neg U)>
#<alt (+ (* J -2) (/ (* (* U U) -1/4) J))>
#<alt (* (* U U) -1/4)>
#<alt (/ (* (* U U) -1/4) J)>
#<alt (* U U)>
#<alt (* (+ (* (* J -2) (/ J (+ (* U U) 0))) -1) (- 0 (* U (+ (* U U) 0))))>
#<alt (/ (* (+ (* (* J -2) (/ J (+ (* U U) 0))) -1) (- 0 (* U (+ (* U U) 0)))) (+ (* U U) 0))>
#<alt (+ (* (* J -2) (/ J (+ (* U U) 0))) -1)>
#<alt (/ J (+ (* U U) 0))>
#<alt (+ (* (cos (* 1/2 K)) (* J (* J -2))) (/ (* (* U U) -1/4) (cos (* 1/2 K))))>
#<alt (/ (+ (* (cos (* 1/2 K)) (* J (* J -2))) (/ (* (* U U) -1/4) (cos (* 1/2 K)))) J)>
#<alt (cos (* 1/2 K))>
#<alt (* 1/2 K)>
#<alt (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))))>
#<alt (+ (* J (cos K)) J)>
#<alt (/ (* (* U U) -1/4) (cos (* 1/2 K)))>

Outputs
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))>
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#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (pow U 2))>
#<alt (+ (* -1/4 (pow U 2)) (* -1/32 (* (pow K 2) (pow U 2))))>
#<alt (+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/4 (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2))))))))>
#<alt (+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (pow U 2)) (+ (* 1/3072 (pow U 2)) (* 1/8 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))) (* 1/4 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>

Calls

123 calls:

Time	Variable		Point	Expression
2.0ms	K	@	inf	(/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))
2.0ms	U	@	inf	(+ (* (cos (* 1/2 K)) (* J (* J -2))) (/ (* (* U U) -1/4) (cos (* 1/2 K))))
1.0ms	K	@	inf	(+ (* (cos (* 1/2 K)) (* J (* J -2))) (/ (* (* U U) -1/4) (cos (* 1/2 K))))
1.0ms	K	@	-inf	(+ (* (cos (* 1/2 K)) (* J (* J -2))) (/ (* (* U U) -1/4) (cos (* 1/2 K))))
1.0ms	K	@	0	(+ (* (cos (* 1/2 K)) (* J (* J -2))) (/ (* (* U U) -1/4) (cos (* 1/2 K))))

rewrite398.0ms (3%)

Memory

-0.9MiB live, 713.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 124×	`-lowering-.f32`
6 124×	`-lowering-.f64`
4 718×	`/-lowering-/.f32`
4 718×	`/-lowering-/.f64`
3 618×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	230
1	247	220
2	2200	220
0	9419	206

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 474

Calls

Call 1

Inputs
(/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))
(+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))
(* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J))))))
(* J (cos (* K 1/2)))
(neg U)
(+ (* J -2) (/ (* (* U U) -1/4) J))
(* (* U U) -1/4)
(/ (* (* U U) -1/4) J)
(* U U)
(* (+ (* (* J -2) (/ J (+ (* U U) 0))) -1) (- 0 (* U (+ (* U U) 0))))
(/ (* (+ (* (* J -2) (/ J (+ (* U U) 0))) -1) (- 0 (* U (+ (* U U) 0)))) (+ (* U U) 0))
(+ (* (* J -2) (/ J (+ (* U U) 0))) -1)
(/ J (+ (* U U) 0))
(+ (* (cos (* 1/2 K)) (* J (* J -2))) (/ (* (* U U) -1/4) (cos (* 1/2 K))))
(/ (+ (* (cos (* 1/2 K)) (* J (* J -2))) (/ (* (* U U) -1/4) (cos (* 1/2 K)))) J)
(cos (* 1/2 K))
(* 1/2 K)
(sqrt (+ 1 (/ (* (/ U J) U) (* 2 (+ (* J (cos K)) J)))))
(+ (* J (cos K)) J)
(/ (* (* U U) -1/4) (cos (* 1/2 K)))

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

simplify484.0ms (3.7%)

Memory

-14.7MiB live, 1 056.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 062×	`accelerator-lowering-fma.f32`
12 062×	`accelerator-lowering-fma.f64`
8 408×	`-lowering-.f32`
8 408×	`-lowering-.f64`
3 630×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	645	8518
1	2092	8301
0	8022	7797

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

Inputs
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))
(* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))
(* 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) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
1
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))
1
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
1
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(+ 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) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K))))))
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(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
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(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
1
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(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
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1
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(* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* U (sqrt 1/2)))
(* U (+ (* 1/2 (* (sqrt (* J (+ J (* J (cos K))))) (/ 1 (* (pow U 2) (sqrt 1/2))))) (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (sqrt 1/2))))
(* U (+ (* -1/8 (* (sqrt (* (pow J 3) (pow (+ J (* J (cos K))) 3))) (/ 1 (* (pow U 4) (pow (sqrt 1/2) 3))))) (+ (* 1/2 (* (sqrt (* J (+ J (* J (cos K))))) (/ 1 (* (pow U 2) (sqrt 1/2))))) (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (sqrt 1/2)))))
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(* -1 (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* U (sqrt 1/2))))
(* -1 (* U (+ (* 1/2 (* (sqrt (* J (+ J (* J (cos K))))) (/ 1 (* (pow U 2) (sqrt 1/2))))) (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (sqrt 1/2)))))
(* -1 (* U (+ (* -1/8 (* (sqrt (* (pow J 3) (pow (+ J (* J (cos K))) 3))) (/ 1 (* (pow U 4) (pow (sqrt 1/2) 3))))) (+ (* 1/2 (* (sqrt (* J (+ J (* J (cos K))))) (/ 1 (* (pow U 2) (sqrt 1/2))))) (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (sqrt 1/2))))))
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(/ (+ (* 1/2 (* (/ (pow J 2) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (* U (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) J)
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(/ (+ (* (* U (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K))))) (* (pow J 2) (+ (* 1/2 (* (/ 1 (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ 1 (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))) (* 1/16 (* (/ (pow J 2) (* (pow U 5) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5))))))))) J)
1
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(* 2 J)
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(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
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(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
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(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))

Outputs
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
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(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
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(fma.f64 (.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/16 binary64)) K) K (.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (*.f64 J J)))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(fma.f64 (.f64 K K) (fma.f64 K (.f64 K (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/96 binary64))) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/16 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (*.f64 J J)))))
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(fma.f64 (.f64 K K) (fma.f64 (.f64 (.f64 K K) #s(literal -1/2 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/192 binary64) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 13/5760 binary64))) K) K (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/48 binary64))) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/16 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J)))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
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(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
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#s(literal 1 binary64)
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(fma.f64 (/.f64 (.f64 U U) (.f64 J (*.f64 J (fma.f64 (cos.f64 K) #s(literal -1 binary64) #s(literal -1 binary64))))) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 J (.f64 J (fma.f64 (cos.f64 K) #s(literal -1 binary64) #s(literal -1 binary64))))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (.f64 J (.f64 J (*.f64 J J))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (* -1/128 (/ (pow U 6) (* (pow J 6) (pow (- (* -1 (cos K)) 1) 3)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (.f64 J (.f64 J (.f64 J J))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (*.f64 J (fma.f64 (cos.f64 K) #s(literal -1 binary64) #s(literal -1 binary64))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J 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 K K) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)))) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/32 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (*.f64 J 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) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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 K K) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 K K)) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/96 binary64) (/.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)) (.f64 J (.f64 J (.f64 J J)))))) (.f64 #s(literal 1/32 binary64) (.f64 U (/.f64 U (.f64 J J)))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J 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)))))) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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) (- (* -1/2 (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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 (.f64 K K) (fma.f64 (.f64 (.f64 K K) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)))) (+.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/96 binary64) (/.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)) (.f64 J (.f64 J (.f64 J J)))))) (.f64 K (.f64 K (fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/192 binary64) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 13/5760 binary64))) (.f64 #s(literal -1/32 binary64) (.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/96 binary64) (/.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)) (.f64 J (.f64 J (.f64 J J)))))) (/.f64 (.f64 U U) (.f64 J (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)))))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)))) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/32 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64))))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt.f64 (fma.f64 (.f64 U U) (/.f64 #s(literal 1/2 binary64) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt.f64 (fma.f64 (.f64 U U) (/.f64 #s(literal 1/2 binary64) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt.f64 (fma.f64 (.f64 U U) (/.f64 #s(literal 1/2 binary64) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt.f64 (fma.f64 (.f64 U U) (/.f64 #s(literal 1/2 binary64) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt.f64 (fma.f64 (.f64 U U) (/.f64 #s(literal 1/2 binary64) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt.f64 (fma.f64 (.f64 U U) (/.f64 #s(literal 1/2 binary64) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt.f64 (fma.f64 (.f64 U U) (/.f64 #s(literal 1/2 binary64) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt.f64 (fma.f64 (.f64 U U) (/.f64 #s(literal 1/2 binary64) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))
(* J (+ 1 (cos K)))
(fma.f64 J (cos.f64 K) J)
(* J (+ 1 (cos K)))
(fma.f64 J (cos.f64 K) J)
(* J (+ 1 (cos K)))
(fma.f64 J (cos.f64 K) J)
(* J (+ 1 (cos K)))
(fma.f64 J (cos.f64 K) J)
(* J (+ 1 (cos K)))
(fma.f64 J (cos.f64 K) J)
(* J (+ 1 (cos K)))
(fma.f64 J (cos.f64 K) J)
(* J (+ 1 (cos K)))
(fma.f64 J (cos.f64 K) J)
(* J (+ 1 (cos K)))
(fma.f64 J (cos.f64 K) J)
(* -1 (* J (- (* -1 (cos K)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 J (fma.f64 (cos.f64 K) #s(literal -1 binary64) #s(literal -1 binary64))))
(* -1 (* J (- (* -1 (cos K)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 J (fma.f64 (cos.f64 K) #s(literal -1 binary64) #s(literal -1 binary64))))
(* -1 (* J (- (* -1 (cos K)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 J (fma.f64 (cos.f64 K) #s(literal -1 binary64) #s(literal -1 binary64))))
(* -1 (* J (- (* -1 (cos K)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 J (fma.f64 (cos.f64 K) #s(literal -1 binary64) #s(literal -1 binary64))))
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(+ (* -1/2 (* J (pow K 2))) (* 2 J))
(fma.f64 J (.f64 #s(literal -1/2 binary64) (.f64 K K)) (*.f64 #s(literal 2 binary64) J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))
(fma.f64 K (.f64 K (fma.f64 (.f64 J (.f64 K K)) #s(literal 1/24 binary64) (.f64 J #s(literal -1/2 binary64)))) (*.f64 #s(literal 2 binary64) J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J #s(literal 1/24 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal -1/720 binary64))) (.f64 J #s(literal -1/2 binary64))) (*.f64 #s(literal 2 binary64) J))
(+ J (* J (cos K)))
(fma.f64 J (cos.f64 K) J)
(+ J (* J (cos K)))
(fma.f64 J (cos.f64 K) J)
(+ J (* J (cos K)))
(fma.f64 J (cos.f64 K) J)
(+ J (* J (cos K)))
(fma.f64 J (cos.f64 K) J)
(+ J (* J (cos K)))
(fma.f64 J (cos.f64 K) J)
(+ J (* J (cos K)))
(fma.f64 J (cos.f64 K) J)
(+ J (* J (cos K)))
(fma.f64 J (cos.f64 K) J)
(+ J (* J (cos K)))
(fma.f64 J (cos.f64 K) J)
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(+ (* -1/4 (pow U 2)) (* -1/32 (* (pow K 2) (pow U 2))))
(.f64 (.f64 U U) (fma.f64 #s(literal -1/32 binary64) (*.f64 K K) #s(literal -1/4 binary64)))
(+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/4 (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2))))))))
(fma.f64 U (.f64 U #s(literal -1/4 binary64)) (.f64 (.f64 K K) (fma.f64 U (.f64 U #s(literal -1/32 binary64)) (.f64 (.f64 K K) (.f64 (.f64 U U) #s(literal -5/1536 binary64))))))
(+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (pow U 2)) (+ (* 1/3072 (pow U 2)) (* 1/8 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))) (* 1/4 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))))
(fma.f64 U (.f64 U #s(literal -1/4 binary64)) (.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 U U) #s(literal -5/1536 binary64) (.f64 (.f64 K K) (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 U U) #s(literal 7/23040 binary64) (.f64 (.f64 U U) #s(literal -5/3072 binary64)))))) (.f64 (*.f64 U U) #s(literal -1/32 binary64)))))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (cos (* 1/2 K))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))

eval416.0ms (3.2%)

Memory: -116.4MiB live, 375.2MiB allocated
Compiler: Compiled 30 881 to 2 475 computations (92% saved)

prune146.0ms (1.1%)

Memory

12.4MiB live, 366.9MiB allocated

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	1 051	10	1 061
Fresh	3	14	17
Picked	4	1	5
Done	0	2	2
Total	1 058	27	1 085

Accuracy

100.0%

Counts

1 085 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.1%	(fma.f64 (.f64 U #s(literal -1/4 binary64)) (/.f64 U (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
	29.5%	(fma.f64 U (/.f64 (.f64 U #s(literal -1/4 binary64)) J) (.f64 J #s(literal -2 binary64)))
	27.0%	(fma.f64 J #s(literal -2 binary64) (.f64 J (.f64 #s(literal 1/4 binary64) (*.f64 K K))))
	48.7%	(fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J))
	2.4%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U (.f64 U U)) (fma.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) (*.f64 U U)) #s(literal -1 binary64)))) (fma.f64 U U #s(literal 0 binary64)))
	2.5%	(/.f64 (.f64 (fma.f64 (.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U #s(literal 0 binary64)) J)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (fma.f64 U U #s(literal 0 binary64))))) (fma.f64 U U #s(literal 0 binary64)))
	28.8%	(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J J) #s(literal -2 binary64))) J)
	2.3%	(/.f64 (.f64 #s(literal 2 binary64) (.f64 J J)) U)
	21.3%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 J #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 J (.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)) (.f64 #s(literal 0 binary64) (.f64 (.f64 J #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
	38.1%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	31.3%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 J #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
	13.2%	(.f64 (-.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) (/.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 U U #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/4 binary64) (fma.f64 U U #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 J J))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 U U #s(literal 0 binary64)) #s(literal 0 binary64)) J))))
	9.2%	(.f64 (.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))) (.f64 #s(literal -2 binary64) J))
	70.7%	(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
	52.8%	(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (.f64 U U) (/.f64 #s(literal 1/2 binary64) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))))
	64.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))
	14.3%	(.f64 (.f64 U U) (fma.f64 J (/.f64 #s(literal -2 binary64) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
	23.9%	(.f64 (.f64 U U) (fma.f64 J (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
	7.4%	(.f64 (.f64 J J) (+.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 U (*.f64 J J))))
✓	50.7%	(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
	9.6%	(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 U J)) (*.f64 #s(literal -2 binary64) J))
	44.2%	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
	12.1%	(.f64 U (fma.f64 J (.f64 J (/.f64 #s(literal 2 binary64) (*.f64 U U))) #s(literal 1 binary64)))
	24.6%	(.f64 U (.f64 U (fma.f64 J (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
	28.7%	(*.f64 J #s(literal -2 binary64))
✓	41.5%	(neg.f64 U)
✓	12.9%	U

Compiler

Compiled 1 525 to 584 computations (61.7% saved)

regimes96.0ms (0.7%)

Memory

14.6MiB live, 205.7MiB allocated

Counts

49 → 3

Calls

Call 1

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

Outputs

(neg.f64 U)

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

Calls

6 calls:

20.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
18.0ms	(/.f64 K #s(literal 2 binary64))
15.0ms	J
15.0ms	U
13.0ms	(.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
82.5%	2	`J`
74.2%	3	`K`
82.1%	2	`U`
99.9%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
70.8%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
74.2%	3	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes16.0ms (0.1%)

Memory

-10.3MiB live, 31.4MiB allocated

Counts

46 → 3

Calls

Call 1

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

Outputs

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

Calls

1 calls:

14.0ms

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

Results

Accuracy	Segments	Branch
99.7%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes15.0ms (0.1%)

Memory

-2.5MiB live, 36.5MiB allocated

Counts

45 → 3

Calls

Call 1

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

Outputs

(neg.f64 U)

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

Calls

1 calls:

13.0ms

(*.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
99.7%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes15.0ms (0.1%)

Memory

-7.2MiB live, 30.1MiB allocated

Counts

40 → 4

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

(*.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
96.0%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes12.0ms (0.1%)

Memory

28.4MiB live, 28.4MiB allocated

Counts

38 → 3

Calls

Call 1

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

Outputs

(neg.f64 U)

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
93.4%	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 27 to 17 computations (37% saved)

regimes12.0ms (0.1%)

Memory

-15.0MiB live, 23.4MiB allocated

Counts

29 → 6

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
90.3%	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) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes13.0ms (0.1%)

Memory

-19.8MiB live, 23.4MiB allocated

Counts

28 → 4

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
86.2%	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 27 to 17 computations (37% saved)

regimes24.0ms (0.2%)

Memory

14.2MiB live, 52.9MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

(neg.f64 U)

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

(*.f64 (-.f64 #s(literal 0 binary64) U) (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)))

Calls

3 calls:

9.0ms

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
59.3%	2	`U`
58.3%	2	`J`
78.5%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes25.0ms (0.2%)

Memory

11.1MiB live, 49.6MiB allocated

Counts

17 → 4

Calls

Call 1

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

Outputs
(neg.f64 U)
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))
(neg.f64 U)
(.f64 (-.f64 #s(literal 0 binary64) U) (fma.f64 (/.f64 J U) (.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)))

Calls

4 calls:

8.0ms	(/.f64 K #s(literal 2 binary64))
5.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
5.0ms	K
5.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
53.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
50.3%	4	`K`
50.3%	4	`(/.f64 K #s(literal 2 binary64))`
70.1%	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 44 to 31 computations (29.5% saved)

regimes6.0ms (0%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

15 → 4

Calls

Call 1

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

Outputs
(neg.f64 U)
(fma.f64 U (/.f64 (.f64 U #s(literal -1/4 binary64)) J) (.f64 J #s(literal -2 binary64)))
(neg.f64 U)
(.f64 (-.f64 #s(literal 0 binary64) U) (fma.f64 (/.f64 J U) (.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)))

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
68.6%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes9.0ms (0.1%)

Memory

-26.0MiB live, 11.5MiB allocated

Counts

13 → 4

Calls

Call 1

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

Outputs
(neg.f64 U)
(fma.f64 U (/.f64 (.f64 U #s(literal -1/4 binary64)) J) (.f64 J #s(literal -2 binary64)))
(neg.f64 U)
U

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
68.4%	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 27 to 17 computations (37% saved)

regimes4.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

9 → 4

Calls

Call 1

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

Outputs
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(neg.f64 U)
U

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
68.3%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes8.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
U
(neg.f64 U)
(-.f64 #s(literal 0 binary64) U)

Outputs
U
(neg.f64 U)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
53.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
41.5%	1	`J`
41.5%	1	`U`
53.1%	2	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 42 to 29 computations (31% saved)

regimes153.0ms (1.2%)

Memory

-47.9MiB live, 17.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
U

Outputs
U

Calls

6 calls:

146.0ms	(/.f64 K #s(literal 2 binary64))
1.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms	K
1.0ms	J
1.0ms	U

Results

Accuracy	Segments	Branch
12.9%	1	`U`
12.9%	1	`J`
12.9%	1	`K`
12.9%	1	`(/.f64 K #s(literal 2 binary64))`
12.9%	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)))))`
12.9%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.929192524481061e+283	1.0866661852278276e+300
0.0ms	-inf	-3.497911567086754e+306

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.929192524481061e+283	1.0866661852278276e+300
0.0ms	-inf	-3.497911567086754e+306

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.929192524481061e+283	1.0866661852278276e+300
0.0ms	-inf	-3.497911567086754e+306

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	7.929192524481061e+283	1.0866661852278276e+300
0.0ms	6.245362829538875e-159	9.451928059351395e-113
0.0ms	-inf	-3.497911567086754e+306

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.929192524481061e+283	1.0866661852278276e+300
0.0ms	-inf	-3.497911567086754e+306

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	7.929192524481061e+283	1.0866661852278276e+300
0.0ms	-8.516808595694297e-261	6.245362829538875e-159
0.0ms	-7.352466009187099e-12	-2.140142491041661e-20
0.0ms	-3.9344104239279044e+248	-4.493266002079397e+246
0.0ms	-inf	-3.497911567086754e+306

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	7.929192524481061e+283	1.0866661852278276e+300
0.0ms	-8.516808595694297e-261	6.245362829538875e-159
0.0ms	-inf	-3.497911567086754e+306

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-8.516808595694297e-261	6.245362829538875e-159
0.0ms	-inf	-3.497911567086754e+306

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-8.516808595694297e-261	6.245362829538875e-159
0.0ms	-8.277758117536739e-48	-8.41484238438762e-49
0.0ms	-6.070255719212544e+300	-2.5362472228321407e+300

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-8.516808595694297e-261	6.245362829538875e-159
0.0ms	-8.277758117536739e-48	-8.41484238438762e-49
0.0ms	-1.3752612733090075e+306	-6.9848471325548e+303

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-8.516808595694297e-261	6.245362829538875e-159
0.0ms	-8.277758117536739e-48	-8.41484238438762e-49
0.0ms	-1.3752612733090075e+306	-6.9848471325548e+303

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-8.516808595694297e-261	6.245362829538875e-159
0.0ms	-8.277758117536739e-48	-8.41484238438762e-49
0.0ms	-1.3752612733090075e+306	-6.9848471325548e+303

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch38.0ms (0.3%)

Memory

3.4MiB live, 41.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	-0.002880088168345961	0.004757548171412331

Samples

27.0ms

240×

valid

Compiler

Compiled 192 to 159 computations (17.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 13.0ms (62.3% of total)

ival-div: 2.0ms (9.6% of total)

ival-sqrt: 2.0ms (9.6% of total)

ival-pow2: 2.0ms (9.6% of total)

ival-add: 1.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify28.0ms (0.2%)

Memory

-5.2MiB live, 32.4MiB allocated

Algorithm

1×	egg-herbie

Rules

62×	`*-commutative_binary64`
12×	`+-commutative_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`
6×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	1262
1	165	1262
2	171	1262
3	178	1262
4	182	1262
5	185	1262
6	186	1262

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (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 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 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))))) 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)) (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 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (/.f64 U (.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))))))))) 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)) (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 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))) 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)) (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 4946608029462091/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))) #s(literal -2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) 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)) (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 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))) 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)) (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 -200000000000000009059656093454283493894480369275085331567506627801514030557619328472424725816137264176261822880706493688011786868387997604430905860892176095581446469000357584466762025826605872027055636809415309817703628810557419457353500712587231232 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)) (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 -6189700196426901/1237940039285380274899124224 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -5539569662801113/1107913932560222642718302084617242634394213707491304322373697056856707228094640652496493097019312046907692196808899173923175472949106175979816042319761510659592576951121881510274623639758153063707231876091920910184135845830200523203728421733043088080742988814006853038686339072 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)) (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 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) 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)) (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 -5539569662801113/1107913932560222642718302084617242634394213707491304322373697056856707228094640652496493097019312046907692196808899173923175472949106175979816042319761510659592576951121881510274623639758153063707231876091920910184135845830200523203728421733043088080742988814006853038686339072 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)) (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 100000000000000007921438250845767654125681919169971093408389934233443575897517102772544534557205764529752162833294418062406838213115052098838781957320876356853543120821491881752894667070520582225774709469217797130505057184069381648545374773244373557467226310750742042216461653692645376 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) 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)) (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 -5539569662801113/1107913932560222642718302084617242634394213707491304322373697056856707228094640652496493097019312046907692196808899173923175472949106175979816042319761510659592576951121881510274623639758153063707231876091920910184135845830200523203728421733043088080742988814006853038686339072 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)) (.f64 (-.f64 #s(literal 0 binary64) U) (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800 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 -4113761393303015/822752278660603021077484591278675252491367932816789931674304512 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -5539569662801113/1107913932560222642718302084617242634394213707491304322373697056856707228094640652496493097019312046907692196808899173923175472949106175979816042319761510659592576951121881510274623639758153063707231876091920910184135845830200523203728421733043088080742988814006853038686339072 binary64)) (neg.f64 U) (.f64 (-.f64 #s(literal 0 binary64) U) (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64))))))
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U

Outputs
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U

soundness1.8s (13.8%)

Memory

33.9MiB live, 1 304.5MiB allocated

Rules

19 354×	`accelerator-lowering-fma.f32`
19 354×	`accelerator-lowering-fma.f64`
11 556×	`accelerator-lowering-fma.f32`
11 556×	`accelerator-lowering-fma.f64`
11 316×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	852	10305
1	2770	10031
0	8437	9436
0	45	230
1	247	220
2	2200	220
0	9419	206
0	360	3717
1	1153	3609
2	4514	3477
0	8499	3319
0	40	245
1	196	195
2	1543	189
0	8502	183
0	597	7696
1	1948	7518
2	7542	7491
0	8122	7053
0	40	189
1	201	183
2	1718	183
0	8938	172
0	17	66
1	68	66
2	420	66
3	4348	66
0	8113	66

Stop Event

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

Compiler

Compiled 2 083 to 708 computations (66% saved)

preprocess191.0ms (1.5%)

Memory: -10.0MiB live, 332.3MiB allocated
Remove: (abs K)
Compiler: Compiled 3 474 to 528 computations (84.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze279.0ms (2.1%)

sample1.7s (12.9%)

preprocess146.0ms (1.1%)

explain229.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify77.0ms (0.6%)

localize78.0ms (0.6%)

series37.0ms (0.3%)

rewrite316.0ms (2.4%)

simplify684.0ms (5.2%)

eval81.0ms (0.6%)

prune71.0ms (0.5%)

simplify394.0ms (3%)

localize160.0ms (1.2%)

series60.0ms (0.5%)

rewrite440.0ms (3.4%)

simplify717.0ms (5.5%)

eval610.0ms (4.6%)

prune298.0ms (2.3%)

simplify267.0ms (2%)

localize192.0ms (1.5%)

series98.0ms (0.7%)

rewrite757.0ms (5.8%)

simplify743.0ms (5.7%)

eval184.0ms (1.4%)

prune127.0ms (1%)

simplify266.0ms (2%)

localize172.0ms (1.3%)

series30.0ms (0.2%)

rewrite398.0ms (3%)

simplify484.0ms (3.7%)

eval416.0ms (3.2%)

prune146.0ms (1.1%)

regimes96.0ms (0.7%)

regimes16.0ms (0.1%)

regimes15.0ms (0.1%)

regimes15.0ms (0.1%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes13.0ms (0.1%)

regimes24.0ms (0.2%)

regimes25.0ms (0.2%)

regimes6.0ms (0%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes8.0ms (0.1%)

regimes153.0ms (1.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch38.0ms (0.3%)

simplify28.0ms (0.2%)

soundness1.8s (13.8%)

preprocess191.0ms (1.5%)

end0.0ms (0%)

Profiling