Metrics for Maksimov and Kolovsky, Equation (3)

analyze425.0ms (3.3%)

Memory

-14.7MiB live, 318.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample2.2s (17.2%)

Memory

113.2MiB live, 2 472.5MiB allocated

Samples

1.9s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-mult: 474.0ms (32.8% of total)

ival-cos: 382.0ms (26.4% of total)

ival-div: 243.0ms (16.8% of total)

ival-pow2: 112.0ms (7.7% of total)

ival-add: 107.0ms (7.4% of total)

ival-sqrt: 106.0ms (7.3% of total)

exact: 12.0ms (0.8% of total)

ival-true: 7.0ms (0.5% of total)

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

Bogosity

preprocess140.0ms (1.1%)

Memory

-40.2MiB live, 158.2MiB 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)

explain221.0ms (1.7%)

Memory

-17.4MiB live, 546.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
44	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))))`
37	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	131	(1.2329823848427927e+81 1.4452610106820962e+135 2.4811342489809695e+99)	-	`(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	131	0
`sqrt.f64`	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`	oflow-rescue	44	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	37
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	37
↳	`(+.f64 #s(literal 1 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	81
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	81
`*.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**	37	0

Confusion

	Predicted +	Predicted -
+	81	0
-	93	82

Precision

0.46551724137931033

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	0
-	93	0	82

Precision?

0.46551724137931033

Recall?

1.0

Freqs

test

number	freq
0	82
1	136
2	38

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

68.0ms

512×

valid

Compiler

Compiled 278 to 72 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 14.0ms (30.2% of total)

ival-cos: 12.0ms (25.9% of total)

ival-div: 7.0ms (15.1% of total)

ival-pow2: 5.0ms (10.8% of total)

ival-add: 3.0ms (6.5% of total)

ival-sqrt: 3.0ms (6.5% of total)

ival-true: 1.0ms (2.2% of total)

exact: 1.0ms (2.2% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.1%	(.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)))))

Status

Accuracy

Program

▶

70.1%

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

Compiler

Compiled 27 to 17 computations (37% saved)

simplify51.0ms (0.4%)

Memory

-7.2MiB live, 71.4MiB 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))

localize55.0ms (0.4%)

Memory

6.7MiB live, 126.3MiB 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	86.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
✓	accuracy	84.0%	(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))))

Samples

36.0ms

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 (31.7% of total)

ival-cos: 8.0ms (31.7% of total)

ival-div: 3.0ms (11.9% of total)

ival-pow2: 3.0ms (11.9% of total)

ival-sqrt: 2.0ms (7.9% 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)

series38.0ms (0.3%)

Memory

12.2MiB live, 90.0MiB allocated

Counts

6 → 156

Calls

Call 1

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

Outputs
#s(alt (* -1 U) (taylor 0 J) (#s(alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) (taylor 0 J) (#s(alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 J) (#s(alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 J) (#s(alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor inf J) (#s(alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 J) (#s(alt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (patch (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf K) (#s(alt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (patch (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf K) (#s(alt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (patch (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf K) (#s(alt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (patch (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf K) (#s(alt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (patch (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

39 calls:

Time	Variable		Point	Expression
5.0ms	K	@	inf	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (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))))
3.0ms	J	@	0	(* -2 J)
2.0ms	K	@	-inf	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
2.0ms	J	@	0	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))

rewrite291.0ms (2.2%)

Memory

-16.1MiB live, 499.0MiB 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)))))
(/.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.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 6 binary64))))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U 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))))) (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)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.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 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 U 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))))))))
(/.f64 (.f64 (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 6 binary64)))) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) J))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U 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))))) (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)) #s(literal 1 binary64))))
(/.f64 (.f64 (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 4 binary64)))) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) J))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 U 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))))))))
(.f64 #s(literal -2 binary64) (.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 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(.f64 J (.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)))))
(.f64 #s(literal 2 binary64) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 J)) (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 (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 #s(literal -2 binary64) J)))
(.f64 (.f64 J #s(literal 2 binary64)) (.f64 (neg.f64 (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)))))
(.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 #s(literal -2 binary64) J)))
(.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) J)) (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 (.f64 (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)))) (*.f64 #s(literal -2 binary64) J))
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(.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (.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)))))
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(.f64 (pow.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)) #s(literal 1/4 binary64)) (.f64 (pow.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)) #s(literal 1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))))
(.f64 (.f64 #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)))) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.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 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal -2 binary64))
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(.f64 (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 J (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 (.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))) J) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.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 #s(literal -2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(.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))) #s(literal 2 binary64)) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J)))
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(.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))) #s(literal -1 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))
(.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))) (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (*.f64 J #s(literal 2 binary64)))
(.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 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
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(+.f64 #s(literal 0 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)))
(-.f64 #s(literal 0 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
(neg.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.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)))))))
(/.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)))))
(.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 J (neg.f64 (.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(.f64 J (.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J)))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(.f64 (.f64 J #s(literal 2 binary64)) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) #s(literal -1 binary64))
(.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))
(.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal 2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 J))
(.f64 (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)
(.f64 (neg.f64 J) (.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 #s(literal -1 binary64) J) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) J)
(-.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64)))
(neg.f64 (*.f64 J #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 J))
(.f64 #s(literal -1 binary64) (.f64 J #s(literal 2 binary64)))
(*.f64 (neg.f64 J) #s(literal 2 binary64))
(+.f64 (.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (.f64 K #s(literal -1/2 binary64)))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos.f64 (.f64 #s(literal 1 binary64) (.f64 K #s(literal -1/2 binary64))))
(cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) K)))
(fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 K #s(literal -1/2 binary64)))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 U 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))))))))
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(.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 (neg.f64 U) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(.f64 (/.f64 (neg.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)))) #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)))) (neg.f64 (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 (neg.f64 U) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(.f64 (/.f64 (neg.f64 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 (neg.f64 U) J))
(.f64 (/.f64 (neg.f64 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 (neg.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)))) #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))) (neg.f64 U))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 U)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (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 (neg.f64 U))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (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)) (neg.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (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))))))))

simplify476.0ms (3.7%)

Memory

19.2MiB live, 885.3MiB 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)
(neg.f64 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)) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(-.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)))))))
(neg.f64 (.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))))))))
(neg.f64 (.f64 J (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)) (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)))))))))
(* -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))))))))
(.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))))))))
(.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))))))))
(.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))))))))
(.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))))))))
(.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))))))))
(.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))))))))
(.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))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
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(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 (/.f64 (.f64 U U) (.f64 J J)) (fma.f64 #s(literal 1/16 binary64) (.f64 K K) #s(literal 1/4 binary64)) (.f64 (.f64 K 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))))))
(* 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))))

eval83.0ms (0.6%)

Memory: 3.9MiB live, 157.6MiB allocated
Compiler: Compiled 16 366 to 1 762 computations (89.2% saved)

prune99.0ms (0.8%)

Memory

-15.6MiB live, 176.4MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	466	14	480
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	467	14	481

Accuracy

99.9%

Counts

481 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.6%	(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)))))
	36.6%	(.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)))))
	57.9%	(.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)
	29.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	49.4%	(.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))))
▶	61.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64)))))
	67.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 U) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (/.f64 (.f64 J #s(literal 2 binary64)) U)) (.f64 #s(literal -2 binary64) J))))))
▶	70.0%	(.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 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))))))))))))
	37.8%	(.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)))))
	30.2%	(.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))
	12.1%	(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
▶	48.9%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
	41.3%	(neg.f64 U)
▶	14.3%	U

Compiler

Compiled 672 to 450 computations (33% saved)

simplify233.0ms (1.8%)

Memory

-1.1MiB live, 430.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64)))
✓	cost-diff	320	(.f64 (.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))
✓	cost-diff	384	(/.f64 K #s(literal 2 binary64))
✓	cost-diff	5824	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64))
✓	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	0	(*.f64 #s(literal -2 binary64) J)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) K)
✓	cost-diff	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓	cost-diff	0	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
✓	cost-diff	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

4 958×	`accelerator-lowering-fma.f32`
4 958×	`accelerator-lowering-fma.f64`
4 866×	`-lowering-.f32`
4 866×	`-lowering-.f64`
2 662×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	359
1	105	317
2	303	299
3	1179	299
4	2768	299
5	3090	299
6	3228	299
7	3404	299
8	3739	299
9	4610	299
10	6158	299
0	8034	288

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

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

localize186.0ms (1.4%)

Memory

-0.7MiB live, 359.2MiB 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) #s(literal 1 binary64))) #s(literal 2 binary64))
✓	accuracy	86.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64)))))
✓	accuracy	84.0%	(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))))
✓	accuracy	100.0%	(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)))))
✓	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	89.1%	(/.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 #s(literal 1/2 binary64) K)
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) J)
✓	accuracy	100.0%	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓	accuracy	99.8%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
✓	accuracy	99.7%	(.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	86.5%	(.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 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	84.0%	(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

92.0ms

256×

valid

Compiler

Compiled 376 to 43 computations (88.6% saved)

Precisions

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

ival-mult: 25.0ms (39% of total)

ival-cos: 17.0ms (26.5% of total)

ival-div: 10.0ms (15.6% of total)

ival-add: 4.0ms (6.2% of total)

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

ival-pow2: 3.0ms (4.7% of total)

exact: 1.0ms (1.6% of total)

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

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

series76.0ms (0.6%)

Memory

2.6MiB live, 157.5MiB allocated

Counts

21 → 480

Calls

Call 1

Inputs
#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())
#s(alt (* 2 (* K 1/2)) (patch (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (/ K 2) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))) (patch (.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))))))))) #<representation binary64>) () ())
#s(alt (* (cos (* 1/2 K)) (* -2 J)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) #<representation binary64>) () ())
#s(alt (cos (* 1/2 K)) (patch (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #<representation binary64>) () ())
#s(alt (* 1/2 K) (patch (*.f64 #s(literal 1/2 binary64) K) #<representation binary64>) () ())
#s(alt (* -2 J) (patch (*.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())
#s(alt (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (patch (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))))) #<representation binary64>) () ())
#s(alt (* J (cos (* 1/2 K))) (patch (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())
#s(alt (pow (/ U (* (* 2 J) 1)) 2) (patch (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (* (* 2 J) 1) (patch (.f64 (.f64 #s(literal 2 binary64) J) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+ 1 (pow (/ U (* (* 2 J) 1)) 2)) (patch (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt (+ 1 (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (patch (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))))))))))) #<representation binary64>) () ())
#s(alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))))) (patch (.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)))))))))))) #<representation binary64>) () ())
#s(alt (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (patch (+.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)))))) #<representation binary64>) () ())
#s(alt (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K)))) (patch (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #<representation binary64>) () ())
#s(alt (* -1/4 (* U U)) (patch (.f64 #s(literal -1/4 binary64) (.f64 U U)) #<representation binary64>) () ())
#s(alt (sqrt (+ 1 (pow (/ U (* (* 2 J) 1)) 2))) (patch (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)))) #<representation binary64>) () ())
#s(alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) 1)) 2)))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.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))))) #<representation binary64>) () ())
#s(alt (* (* -2 J) (cos (/ K 2))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())

Outputs
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor 0 J) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor 0 J) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor 0 J) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor 0 J) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor inf J) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor inf J) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor inf J) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor inf J) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor -inf J) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor -inf J) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor -inf J) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor -inf J) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 J) (taylor 0 K) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* J (pow K 2))) (* 2 J)) (taylor 0 K) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2)))))) (taylor 0 K) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J)))))) (taylor 0 K) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor inf K) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor inf K) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor inf K) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor inf K) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor -inf K) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor -inf K) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor -inf K) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor -inf K) (#s(alt (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (patch (.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))))))) #<representation binary64>) () ())) ())
#s(alt K (taylor 0 K) (#s(alt (* 2 (* K 1/2)) (patch (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt K (taylor 0 K) (#s(alt (* 2 (* K 1/2)) (patch (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt K (taylor 0 K) (#s(alt (* 2 (* K 1/2)) (patch (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt K (taylor 0 K) (#s(alt (* 2 (* K 1/2)) (patch (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt K (taylor inf K) (#s(alt (* 2 (* K 1/2)) (patch (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt K (taylor inf K) (#s(alt (* 2 (* K 1/2)) (patch (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt K (taylor inf K) (#s(alt (* 2 (* K 1/2)) (patch (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt K (taylor inf K) (#s(alt (* 2 (* K 1/2)) (patch (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt K (taylor -inf K) (#s(alt (* 2 (* K 1/2)) (patch (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt K (taylor -inf K) (#s(alt (* 2 (* K 1/2)) (patch (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt K (taylor -inf K) (#s(alt (* 2 (* K 1/2)) (patch (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt K (taylor -inf K) (#s(alt (* 2 (* K 1/2)) (patch (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 K) (taylor 0 K) (#s(alt (/ K 2) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 K) (taylor 0 K) (#s(alt (/ K 2) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 K) (taylor 0 K) (#s(alt (/ K 2) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 K) (taylor 0 K) (#s(alt (/ K 2) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 K) (taylor inf K) (#s(alt (/ K 2) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 K) (taylor inf K) (#s(alt (/ K 2) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 K) (taylor inf K) (#s(alt (/ K 2) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 K) (taylor inf K) (#s(alt (/ K 2) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 K) (taylor -inf K) (#s(alt (/ K 2) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 K) (taylor -inf K) (#s(alt (/ K 2) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 K) (taylor -inf K) (#s(alt (/ K 2) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 K) (taylor -inf K) (#s(alt (/ K 2) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 U) (#s(alt (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))) (patch (.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))))))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 U) (#s(alt (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))) (patch (.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))))))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 U) (#s(alt (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))) (patch (.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))))))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 U) (#s(alt (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))) (patch (.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))))))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor inf U) (#s(alt (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))) (patch (.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))))))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor inf U) (#s(alt (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))) (patch (.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))))))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor inf U) (#s(alt (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))) (patch (.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))))))))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor inf U) (#s(alt (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))) (patch (.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))))))))) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 J) (#s(alt (* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))) (patch (.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))))))))) #<representation binary64>) () ())) ())
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#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor inf J) (#s(alt (* (* -2 J) (cos (/ K 2))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor inf J) (#s(alt (* (* -2 J) (cos (/ K 2))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor inf J) (#s(alt (* (* -2 J) (cos (/ K 2))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor inf J) (#s(alt (* (* -2 J) (cos (/ K 2))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor -inf J) (#s(alt (* (* -2 J) (cos (/ K 2))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor -inf J) (#s(alt (* (* -2 J) (cos (/ K 2))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor -inf J) (#s(alt (* (* -2 J) (cos (/ K 2))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor -inf J) (#s(alt (* (* -2 J) (cos (/ K 2))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 J) (taylor 0 K) (#s(alt (* (* -2 J) (cos (/ K 2))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 J) (* 1/4 (* J (pow K 2)))) (taylor 0 K) (#s(alt (* (* -2 J) (cos (/ K 2))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) (taylor 0 K) (#s(alt (* (* -2 J) (cos (/ K 2))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) (taylor 0 K) (#s(alt (* (* -2 J) (cos (/ K 2))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor inf K) (#s(alt (* (* -2 J) (cos (/ K 2))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor inf K) (#s(alt (* (* -2 J) (cos (/ K 2))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor inf K) (#s(alt (* (* -2 J) (cos (/ K 2))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor inf K) (#s(alt (* (* -2 J) (cos (/ K 2))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor -inf K) (#s(alt (* (* -2 J) (cos (/ K 2))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor -inf K) (#s(alt (* (* -2 J) (cos (/ K 2))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor -inf K) (#s(alt (* (* -2 J) (cos (/ K 2))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor -inf K) (#s(alt (* (* -2 J) (cos (/ K 2))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())

Calls

120 calls:

Time	Variable		Point	Expression
7.0ms	U	@	0	(+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K)))))
3.0ms	J	@	0	(* (/ U (* J 2)) (/ U (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))
3.0ms	U	@	inf	(pow (/ U (* (* 2 J) 1)) 2)
2.0ms	U	@	inf	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) 1)) 2))))
2.0ms	K	@	0	(+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K)))))

rewrite332.0ms (2.6%)

Memory

23.7MiB live, 723.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 160×	`accelerator-lowering-fma.f32`
6 160×	`accelerator-lowering-fma.f64`
4 336×	`/-lowering-/.f32`
4 336×	`/-lowering-/.f64`
4 196×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	231
1	209	195
2	1684	191
0	8627	180

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 762

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

simplify788.0ms (6%)

Memory

-148.0MiB live, 884.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 786×	`accelerator-lowering-fma.f32`
13 786×	`accelerator-lowering-fma.f64`
8 954×	`-lowering-.f32`
8 954×	`-lowering-.f64`
4 160×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	678	8514
1	2241	8290
0	8447	7794

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

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 (* 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 (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))))
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))
(* 1/2 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)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(* -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)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* -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 (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 J)))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (+ (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))) (* (pow K 2) (+ (* 1/23040 J) (* 1/4 (+ (* -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)))))))))))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 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)))) (* -1/4 (/ (pow U 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)))) (* -1/4 (/ (pow U 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)))) (* -1/4 (/ (pow U 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))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 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)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 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 (* 1/4 (/ (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))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* -1 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
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(* -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))))

Outputs
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 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 (.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 (.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))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
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 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (.f64 #s(literal 1/16 binary64) (*.f64 K K))))
(+ (* 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) (fma.f64 K (.f64 K (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/96 binary64))) (/.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) (+ (* 1/16 (/ (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 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 13/2880 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/96 binary64))) (.f64 (.f64 K K) #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/96 binary64))) (/.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) (+ 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)))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(fma.f64 J #s(literal -2 binary64) (.f64 J (.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(fma.f64 (.f64 (fma.f64 J #s(literal 1/4 binary64) (.f64 J (.f64 #s(literal -1/192 binary64) (.f64 K K)))) K) K (*.f64 J #s(literal -2 binary64)))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(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 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
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(neg.f64 (.f64 J (fma.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J J)) (/.f64 (.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 4 binary64)))))))
(* -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))))))))
(.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J J)) (/.f64 (.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 U #s(literal 6 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 6 binary64)))))) (neg.f64 J))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(.f64 (.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))))
(+ (* -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))))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (fma.f64 J #s(literal -2 binary64) (.f64 J (.f64 #s(literal 1/4 binary64) (.f64 K K)))))
(+ (* -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))))))))))
(fma.f64 J (.f64 #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 K K) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (fma.f64 J #s(literal 1/4 binary64) (.f64 J (.f64 #s(literal -1/192 binary64) (*.f64 K K)))))))
(+ (* -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))))))))))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (fma.f64 J #s(literal -2 binary64) (.f64 J (.f64 #s(literal 1/4 binary64) (.f64 K K)))) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64)))) (.f64 (.f64 K K) (*.f64 K K))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(.f64 (.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))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(.f64 (.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))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(.f64 (.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))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(.f64 (.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))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(.f64 (.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))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(.f64 (.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))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(.f64 (.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))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(.f64 (.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))))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 U U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(+ (* -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))))))
(fma.f64 (.f64 U U) (fma.f64 #s(literal -1/4 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (/.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J (.f64 J J)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+ (* -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))))))))
(fma.f64 (.f64 U U) (fma.f64 U (.f64 U (fma.f64 #s(literal 1/64 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 J J))) (/.f64 (.f64 (.f64 #s(literal -1/512 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 5 binary64))))) (/.f64 (.f64 #s(literal -1/4 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1 (* U (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))
(.f64 U (-.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J J) #s(literal -2 binary64))) (.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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))))))
(.f64 U (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) (-.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J J) #s(literal -2 binary64))) (.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(* 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)))))))
(.f64 U (fma.f64 (pow.f64 J #s(literal 6 binary64)) (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) (-.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J J) #s(literal -2 binary64))) (.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(* 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))))))
(.f64 (-.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J J) #s(literal -2 binary64))) (.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (neg.f64 U))
(* -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)))))))
(.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) (-.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J J) #s(literal -2 binary64))) (.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (neg.f64 U))
(* -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))))))))
(.f64 (fma.f64 (pow.f64 J #s(literal 6 binary64)) (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) (-.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J J) #s(literal -2 binary64))) (.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (neg.f64 U))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(fma.f64 J #s(literal -2 binary64) (.f64 J (.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(fma.f64 (.f64 (fma.f64 J #s(literal 1/4 binary64) (.f64 J (.f64 #s(literal -1/192 binary64) (.f64 K K)))) K) K (*.f64 J #s(literal -2 binary64)))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(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 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))

eval241.0ms (1.9%)

Memory: 26.0MiB live, 413.2MiB allocated
Compiler: Compiled 41 460 to 4 205 computations (89.9% saved)

prune217.0ms (1.7%)

Memory

5.1MiB live, 443.1MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	1 454	17	1 471
Fresh	6	3	9
Picked	3	2	5
Done	0	0	0
Total	1 463	22	1 485

Accuracy

100.0%

Counts

1 485 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.4%	(fma.f64 (.f64 U #s(literal -1/4 binary64)) (/.f64 U (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
	25.8%	(fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J))
	47.5%	(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))
▶	27.6%	(/.f64 (fma.f64 (.f64 J J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
	23.8%	(.f64 (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J))
	36.6%	(.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)))))
	24.3%	(.f64 (-.f64 (.f64 (.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J)) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
	43.4%	(.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)))
	26.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) U) J))
	40.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J)))
▶	61.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
▶	67.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J)))))))
	57.9%	(.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))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J)
	23.8%	(.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))))))
▶	30.2%	(.f64 (.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))))
	41.5%	(.f64 (.f64 J #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)))))
	12.1%	(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
✓	48.9%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
	26.2%	(*.f64 J #s(literal -2 binary64))
	53.9%	(neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
▶	41.3%	(neg.f64 U)
✓	14.3%	U

Compiler

Compiled 947 to 628 computations (33.7% saved)

simplify62.0ms (0.5%)

Memory

-28.2MiB live, 50.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
✓	cost-diff	0	(*.f64 J J)
✓	cost-diff	0	(fma.f64 (.f64 J J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 J J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
✓	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 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
✓	cost-diff	384	(*.f64 (/.f64 U J) (/.f64 U 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 J #s(literal -2 binary64))
✓	cost-diff	0	(.f64 (.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))))
✓	cost-diff	0	(neg.f64 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 U (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J)))))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J)))))
✓	cost-diff	384	(*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J)))

Rules

774×	`-lowering-.f32`
774×	`-lowering-.f64`
600×	`times-frac`
538×	`accelerator-lowering-fma.f32`
538×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	355
1	106	355
2	232	355
3	403	355
4	546	355
5	639	355
6	1070	355
7	1388	355
8	1414	355
9	1420	355
0	1420	337

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize175.0ms (1.3%)

Memory

20.3MiB live, 249.5MiB 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 (.f64 J J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
✓	accuracy	99.8%	(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓	accuracy	72.7%	(/.f64 (fma.f64 (.f64 J J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
✓	accuracy	99.8%	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	99.7%	(*.f64 (/.f64 U J) (/.f64 U J))
✓	accuracy	86.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
✓	accuracy	84.0%	(sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 J #s(literal -2 binary64))
✓	accuracy	86.5%	(.f64 (.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))))
✓	accuracy	84.0%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))
✓	accuracy	76.5%	(/.f64 (.f64 U U) (.f64 J J))
✓	accuracy	100.0%	(neg.f64 U)
✓	accuracy	99.5%	(fma.f64 J (cos.f64 K) J)
✓	accuracy	94.6%	(.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))))
✓	accuracy	86.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J)))))))
✓	accuracy	84.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))))))

Samples

98.0ms

256×

valid

Compiler

Compiled 342 to 48 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 25.0ms (37.8% of total)

ival-cos: 16.0ms (24.2% of total)

ival-div: 13.0ms (19.6% of total)

ival-add: 5.0ms (7.6% of total)

ival-sqrt: 5.0ms (7.6% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

series102.0ms (0.8%)

Memory

-5.6MiB live, 159.7MiB allocated

Counts

23 → 576

Calls

Call 1

Inputs
#s(alt (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))) #<representation binary64>) () ())
#s(alt (+ 1 (* U (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))))) (patch (+.f64 #s(literal 1 binary64) (.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))))) #<representation binary64>) () ())
#s(alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* U (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))))))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))))))) #<representation binary64>) () ())
#s(alt (* (* -2 J) (cos (/ K 2))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (neg U) (patch (neg.f64 U) #<representation binary64>) () ())
#s(alt (* (* J -2) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1))) (patch (.f64 (.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)))) #<representation binary64>) () ())
#s(alt (* J -2) (patch (*.f64 J #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (patch (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+ (* 1/4 (/ (* U U) (* J J))) 1) (patch (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (* (/ U J) (/ U J)) (patch (*.f64 (/.f64 U J) (/.f64 U J)) #<representation binary64>) () ())
#s(alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (* -2 J) (patch (*.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())
#s(alt (/ (+ (* (* J J) (* -2 (cos (* 1/2 K)))) (/ (* (* U U) -1/4) (cos (* 1/2 K)))) J) (patch (/.f64 (fma.f64 (.f64 J J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J) #<representation binary64>) () ())
#s(alt (+ (* (* J J) (* -2 (cos (* 1/2 K)))) (/ (* (* U U) -1/4) (cos (* 1/2 K)))) (patch (fma.f64 (.f64 J J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #<representation binary64>) () ())
#s(alt (* J J) (patch (*.f64 J J) #<representation binary64>) () ())
#s(alt (* -2 (cos (* 1/2 K))) (patch (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())
#s(alt (sqrt (+ 1 (* U (* (/ 1/2 J) (/ U (+ (* J (cos K)) J)))))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J)))))) #<representation binary64>) () ())
#s(alt (* U (* (/ 1/2 J) (/ U (+ (* J (cos K)) J)))) (patch (.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J)))) #<representation binary64>) () ())
#s(alt (+ (* J (cos K)) J) (patch (fma.f64 J (cos.f64 K) J) #<representation binary64>) () ())
#s(alt (/ (* U U) (* J J)) (patch (/.f64 (.f64 U U) (.f64 J J)) #<representation binary64>) () ())
#s(alt (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())
#s(alt (* (* U U) -1/4) (patch (.f64 (.f64 U U) #s(literal -1/4 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (/ U (* (pow J 2) (+ 1 (cos K))))) (taylor 0 J) (#s(alt (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* (pow J 2) (+ 1 (cos K))))) (taylor 0 J) (#s(alt (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* (pow J 2) (+ 1 (cos K))))) (taylor 0 J) (#s(alt (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* (pow J 2) (+ 1 (cos K))))) (taylor 0 J) (#s(alt (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* (pow J 2) (+ 1 (cos K))))) (taylor inf J) (#s(alt (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* (pow J 2) (+ 1 (cos K))))) (taylor inf J) (#s(alt (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* (pow J 2) (+ 1 (cos K))))) (taylor inf J) (#s(alt (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* (pow J 2) (+ 1 (cos K))))) (taylor inf J) (#s(alt (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ U (* (pow J 2) (- (* -1 (cos K)) 1)))) (taylor -inf J) (#s(alt (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ U (* (pow J 2) (- (* -1 (cos K)) 1)))) (taylor -inf J) (#s(alt (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J) (taylor 0 J) (#s(alt (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J) (taylor 0 J) (#s(alt (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf J) (#s(alt (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))) (taylor inf J) (#s(alt (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2))))) (taylor inf J) (#s(alt (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 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)))))) (taylor inf J) (#s(alt (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf J) (#s(alt (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))) (taylor -inf J) (#s(alt (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2))))) (taylor -inf J) (#s(alt (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 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)))))) (taylor -inf J) (#s(alt (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))) (taylor 0 U) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))) (taylor 0 U) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))) (taylor 0 U) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))) (taylor 0 U) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))) (taylor inf U) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))) (taylor inf U) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))) (taylor inf U) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))) (taylor inf U) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))) (taylor -inf U) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))) (taylor -inf U) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))) (taylor -inf U) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))) (taylor -inf U) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow U 2)) (taylor 0 K) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/4 (pow U 2)) (* -1/32 (* (pow K 2) (pow U 2)))) (taylor 0 K) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 K) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor 0 K) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))) (taylor inf K) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))) (taylor inf K) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))) (taylor inf K) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))) (taylor inf K) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))) (taylor -inf K) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))) (taylor -inf K) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))) (taylor -inf K) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))) (taylor -inf K) (#s(alt (/ (* (* U U) -1/4) (cos (* 1/2 K))) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow U 2)) (taylor 0 U) (#s(alt (* (* U U) -1/4) (patch (.f64 (.f64 U U) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow U 2)) (taylor 0 U) (#s(alt (* (* U U) -1/4) (patch (.f64 (.f64 U U) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow U 2)) (taylor 0 U) (#s(alt (* (* U U) -1/4) (patch (.f64 (.f64 U U) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow U 2)) (taylor 0 U) (#s(alt (* (* U U) -1/4) (patch (.f64 (.f64 U U) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow U 2)) (taylor inf U) (#s(alt (* (* U U) -1/4) (patch (.f64 (.f64 U U) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow U 2)) (taylor inf U) (#s(alt (* (* U U) -1/4) (patch (.f64 (.f64 U U) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow U 2)) (taylor inf U) (#s(alt (* (* U U) -1/4) (patch (.f64 (.f64 U U) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow U 2)) (taylor inf U) (#s(alt (* (* U U) -1/4) (patch (.f64 (.f64 U U) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow U 2)) (taylor -inf U) (#s(alt (* (* U U) -1/4) (patch (.f64 (.f64 U U) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow U 2)) (taylor -inf U) (#s(alt (* (* U U) -1/4) (patch (.f64 (.f64 U U) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow U 2)) (taylor -inf U) (#s(alt (* (* U U) -1/4) (patch (.f64 (.f64 U U) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow U 2)) (taylor -inf U) (#s(alt (* (* U U) -1/4) (patch (.f64 (.f64 U U) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())

Calls

144 calls:

Time	Variable		Point	Expression
17.0ms	J	@	0	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* U (* (/ 1/2 J) (/ U (+ (* J (cos K)) J)))))))
15.0ms	K	@	-inf	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* U (* (/ 1/2 J) (/ U (+ (* J (cos K)) J)))))))
3.0ms	K	@	0	(* (/ 1/2 J) (/ U (+ (* J (cos K)) J)))
2.0ms	K	@	0	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* U (* (/ 1/2 J) (/ U (+ (* J (cos K)) J)))))))
2.0ms	U	@	inf	(* (* J -2) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)))

rewrite423.0ms (3.2%)

Memory

1.7MiB live, 629.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 406×	`accelerator-lowering-fma.f32`
6 406×	`accelerator-lowering-fma.f64`
4 462×	`-lowering-.f32`
4 462×	`-lowering-.f64`
4 270×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	247
1	222	247
2	1455	247
0	8337	231

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 813

Calls

Call 1

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

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

simplify520.0ms (4%)

Memory

8.7MiB live, 921.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 060×	`accelerator-lowering-fma.f32`
12 060×	`accelerator-lowering-fma.f64`
8 068×	`-lowering-.f32`
8 068×	`-lowering-.f64`
5 462×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	879	10658
1	2869	10404
0	8433	9785

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

Calls

Call 1

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

eval376.0ms (2.9%)

Memory: 20.0MiB live, 488.2MiB allocated
Compiler: Compiled 43 183 to 4 214 computations (90.2% saved)

prune249.0ms (1.9%)

Memory

-27.3MiB live, 511.0MiB allocated

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	1 443	18	1 461
Fresh	6	9	15
Picked	3	2	5
Done	0	2	2
Total	1 452	31	1 483

Accuracy

100.0%

Counts

1 483 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	(fma.f64 (.f64 U #s(literal -1/4 binary64)) (/.f64 U (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
▶	25.8%	(fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J))
	47.5%	(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))
	27.6%	(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) (.f64 J J)))) J)
▶	13.5%	(/.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J J) #s(literal 1/4 binary64) (.f64 #s(literal -1/32 binary64) (.f64 U U))) (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
	16.5%	(/.f64 (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
	26.9%	(/.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 #s(literal 1 binary64) (fma.f64 U (/.f64 (.f64 U #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) (.f64 J J))))))
	26.2%	(/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)
	23.2%	(/.f64 (*.f64 U (neg.f64 U)) U)
	39.2%	(-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) U)) U)
	23.8%	(.f64 (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J))
	24.3%	(.f64 (-.f64 (.f64 (.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J)) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
	61.5%	(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
▶	67.7%	(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J)))))))
	57.9%	(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (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))))
	53.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) U) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))
	44.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
	23.8%	(.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))))))
	29.6%	(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
	12.5%	(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
	10.9%	(.f64 (.f64 J #s(literal -2 binary64)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))
	41.5%	(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) (/.f64 U J) #s(literal 1 binary64))))
✓	30.2%	(.f64 (.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))))
	12.1%	(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
	12.1%	(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
✓	48.9%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
	24.2%	(.f64 J (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal -1/4 binary64) #s(literal -2 binary64)))
▶	26.2%	(*.f64 J #s(literal -2 binary64))
	53.9%	(neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
✓	41.3%	(neg.f64 U)
✓	14.3%	U

Compiler

Compiled 1 146 to 761 computations (33.6% saved)

simplify373.0ms (2.9%)

Memory

12.2MiB live, 439.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
✓	cost-diff	0	(/.f64 U (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
✓	cost-diff	0	(*.f64 U #s(literal -1/4 binary64))
✓	cost-diff	0	(fma.f64 (.f64 U #s(literal -1/4 binary64)) (/.f64 U (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
✓	cost-diff	0	(fma.f64 (.f64 J J) #s(literal 1/4 binary64) (.f64 #s(literal -1/32 binary64) (*.f64 U U)))
✓	cost-diff	0	(*.f64 K K)
✓	cost-diff	320	(/.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J J) #s(literal 1/4 binary64) (.f64 #s(literal -1/32 binary64) (.f64 U U))) (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
✓	cost-diff	640	(fma.f64 (.f64 K K) (fma.f64 (.f64 J J) #s(literal 1/4 binary64) (.f64 #s(literal -1/32 binary64) (.f64 U U))) (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64))))
✓	cost-diff	0	(*.f64 U U)
✓	cost-diff	0	(.f64 (.f64 U U) #s(literal -1/4 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J)
✓	cost-diff	0	(fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J))
✓	cost-diff	0	(*.f64 J #s(literal -2 binary64))
✓	cost-diff	0	(.f64 (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64))
✓	cost-diff	0	(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J)))))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J)))))
✓	cost-diff	384	(*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J)))

Rules

6 946×	`accelerator-lowering-fma.f32`
6 946×	`accelerator-lowering-fma.f64`
5 500×	`-lowering-.f32`
5 500×	`-lowering-.f64`
2 710×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	332
1	105	332
2	259	332
3	538	324
4	860	324
5	967	324
6	1309	324
7	1473	324
8	1485	324
9	1511	324
10	1512	324
11	1525	324
12	1619	324
13	1621	324
14	1851	324
15	1887	324
16	1925	324
17	1930	324
18	1930	324
19	2057	324
20	2193	324
21	2417	324
22	2417	324
23	2737	322
24	3055	322
25	3693	322
26	4181	322
27	4319	322
28	4821	322
29	5086	322
30	5419	322
31	5514	322
32	5554	322
33	5596	322
34	7266	322
0	8080	302

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (* J (cos (* 1/2 K))) -2) (sqrt (+ 1 (* U (* (/ 1/2 J) (/ U (+ (* J (cos K)) J)))))))
(* (* J (cos (* 1/2 K))) -2)
(* J (cos (* 1/2 K)))
J
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
-2
(sqrt (+ 1 (* U (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))))))
(+ 1 (* U (* (/ 1/2 J) (/ U (+ (* J (cos K)) J)))))
1
(* U (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))))
U
(* (/ 1/2 J) (/ U (+ (* J (cos K)) J)))
(/ 1/2 J)
(/ U (+ (* J (cos K)) J))
(+ (* J (cos K)) J)
(cos K)
(* J -2)
J
-2
(+ (* J -2) (/ (* (* U U) -1/4) J))
J
-2
(/ (* (* U U) -1/4) J)
(* (* U U) -1/4)
(* U U)
U
-1/4
(/ (+ (* (* K K) (+ (* (* J J) 1/4) (* -1/32 (* U U)))) (+ (* (* J J) -2) (* (* U U) -1/4))) J)
(+ (* (* K K) (+ (* (* J J) 1/4) (* -1/32 (* U U)))) (+ (* (* J J) -2) (* (* U U) -1/4)))
(* K K)
K
(+ (* (* J J) 1/4) (* -1/32 (* U U)))
(* J J)
J
1/4
(* -1/32 (* U U))
-1/32
(* U U)
U
(+ (* (* J J) -2) (* (* U U) -1/4))
-2
(* (* U U) -1/4)
-1/4
(+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (cos (* 1/2 K)) (* J -2)))
(* U -1/4)
U
-1/4
(/ U (* J (cos (* 1/2 K))))
(* J (cos (* 1/2 K)))
J
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(* (cos (* 1/2 K)) (* J -2))
(* J -2)
-2

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

localize165.0ms (1.3%)

Memory

-2.8MiB live, 282.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 U (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
✓	accuracy	99.9%	(fma.f64 (.f64 U #s(literal -1/4 binary64)) (/.f64 U (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
✓	accuracy	99.8%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
✓	accuracy	99.8%	(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
✓	accuracy	100.0%	(.f64 (.f64 U U) #s(literal -1/4 binary64))
✓	accuracy	94.3%	(fma.f64 (.f64 J J) #s(literal 1/4 binary64) (.f64 #s(literal -1/32 binary64) (*.f64 U U)))
✓	accuracy	87.1%	(/.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J J) #s(literal 1/4 binary64) (.f64 #s(literal -1/32 binary64) (.f64 U U))) (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
✓	accuracy	71.0%	(fma.f64 (.f64 K K) (fma.f64 (.f64 J J) #s(literal 1/4 binary64) (.f64 #s(literal -1/32 binary64) (.f64 U U))) (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 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	89.2%	(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J)
✓	accuracy	100.0%	(*.f64 J #s(literal -2 binary64))
✓	accuracy	99.5%	(fma.f64 J (cos.f64 K) J)
✓	accuracy	94.6%	(.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))))
✓	accuracy	86.5%	(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J)))))))
✓	accuracy	84.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))))))

Samples

90.0ms

256×

valid

Compiler

Compiled 317 to 45 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 34.0ms (50.3% of total)

ival-cos: 14.0ms (20.7% of total)

ival-div: 9.0ms (13.3% of total)

ival-add: 7.0ms (10.4% of total)

ival-sqrt: 2.0ms (3% of total)

exact: 1.0ms (1.5% of total)

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

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

series44.0ms (0.3%)

Memory

26.0MiB live, 64.0MiB allocated

Counts

21 → 552

Calls

Call 1

Inputs
#s(alt (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))) #<representation binary64>) () ())
#s(alt (+ 1 (* U (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))))) (patch (+.f64 #s(literal 1 binary64) (.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))))) #<representation binary64>) () ())
#s(alt (* (* (* J (cos (* 1/2 K))) -2) (sqrt (+ 1 (* U (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))))))) (patch (.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))))))) #<representation binary64>) () ())
#s(alt (* (* J (cos (* 1/2 K))) -2) (patch (.f64 (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (* J -2) (patch (*.f64 J #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (+ (* J -2) (/ (* (* U U) -1/4) J)) (patch (fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J)) #<representation binary64>) () ())
#s(alt (/ (* (* U U) -1/4) J) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) #<representation binary64>) () ())
#s(alt (* (* U U) -1/4) (patch (.f64 (.f64 U U) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (* U U) (patch (*.f64 U U) #<representation binary64>) () ())
#s(alt (+ (* (* K K) (+ (* (* J J) 1/4) (* -1/32 (* U U)))) (+ (* (* J J) -2) (* (* U U) -1/4))) (patch (fma.f64 (.f64 K K) (fma.f64 (.f64 J J) #s(literal 1/4 binary64) (.f64 #s(literal -1/32 binary64) (.f64 U U))) (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64)))) #<representation binary64>) () ())
#s(alt (/ (+ (* (* K K) (+ (* (* J J) 1/4) (* -1/32 (* U U)))) (+ (* (* J J) -2) (* (* U U) -1/4))) J) (patch (/.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J J) #s(literal 1/4 binary64) (.f64 #s(literal -1/32 binary64) (.f64 U U))) (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J) #<representation binary64>) () ())
#s(alt (* K K) (patch (*.f64 K K) #<representation binary64>) () ())
#s(alt (+ (* (* J J) 1/4) (* -1/32 (* U U))) (patch (fma.f64 (.f64 J J) #s(literal 1/4 binary64) (.f64 #s(literal -1/32 binary64) (*.f64 U U))) #<representation binary64>) () ())
#s(alt (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (cos (* 1/2 K)) (* J -2))) (patch (fma.f64 (.f64 U #s(literal -1/4 binary64)) (/.f64 U (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (* U -1/4) (patch (*.f64 U #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (/ U (* J (cos (* 1/2 K)))) (patch (/.f64 U (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #<representation binary64>) () ())
#s(alt (* J (cos (* 1/2 K))) (patch (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())
#s(alt (sqrt (+ 1 (* U (* (/ 1/2 J) (/ U (+ (* J (cos K)) J)))))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J)))))) #<representation binary64>) () ())
#s(alt (* U (* (/ 1/2 J) (/ U (+ (* J (cos K)) J)))) (patch (.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J)))) #<representation binary64>) () ())
#s(alt (+ (* J (cos K)) J) (patch (fma.f64 J (cos.f64 K) J) #<representation binary64>) () ())
#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (/ U (* (pow J 2) (+ 1 (cos K))))) (taylor 0 J) (#s(alt (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* (pow J 2) (+ 1 (cos K))))) (taylor 0 J) (#s(alt (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* (pow J 2) (+ 1 (cos K))))) (taylor 0 J) (#s(alt (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))) #<representation binary64>) () ())) ())
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#s(alt (* J (+ 1 (cos K))) (taylor inf J) (#s(alt (+ (* J (cos K)) J) (patch (fma.f64 J (cos.f64 K) J) #<representation binary64>) () ())) ())
#s(alt (* J (+ 1 (cos K))) (taylor inf J) (#s(alt (+ (* J (cos K)) J) (patch (fma.f64 J (cos.f64 K) J) #<representation binary64>) () ())) ())
#s(alt (* J (+ 1 (cos K))) (taylor inf J) (#s(alt (+ (* J (cos K)) J) (patch (fma.f64 J (cos.f64 K) J) #<representation binary64>) () ())) ())
#s(alt (* J (+ 1 (cos K))) (taylor inf J) (#s(alt (+ (* J (cos K)) J) (patch (fma.f64 J (cos.f64 K) J) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (- (* -1 (cos K)) 1))) (taylor -inf J) (#s(alt (+ (* J (cos K)) J) (patch (fma.f64 J (cos.f64 K) J) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (- (* -1 (cos K)) 1))) (taylor -inf J) (#s(alt (+ (* J (cos K)) J) (patch (fma.f64 J (cos.f64 K) J) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (- (* -1 (cos K)) 1))) (taylor -inf J) (#s(alt (+ (* J (cos K)) J) (patch (fma.f64 J (cos.f64 K) J) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (- (* -1 (cos K)) 1))) (taylor -inf J) (#s(alt (+ (* J (cos K)) J) (patch (fma.f64 J (cos.f64 K) J) #<representation binary64>) () ())) ())
#s(alt (* 2 J) (taylor 0 K) (#s(alt (+ (* J (cos K)) J) (patch (fma.f64 J (cos.f64 K) J) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* J (pow K 2))) (* 2 J)) (taylor 0 K) (#s(alt (+ (* J (cos K)) J) (patch (fma.f64 J (cos.f64 K) J) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2)))))) (taylor 0 K) (#s(alt (+ (* J (cos K)) J) (patch (fma.f64 J (cos.f64 K) J) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J)))))) (taylor 0 K) (#s(alt (+ (* J (cos K)) J) (patch (fma.f64 J (cos.f64 K) J) #<representation binary64>) () ())) ())
#s(alt (+ J (* J (cos K))) (taylor inf K) (#s(alt (+ (* J (cos K)) J) (patch (fma.f64 J (cos.f64 K) J) #<representation binary64>) () ())) ())
#s(alt (+ J (* J (cos K))) (taylor inf K) (#s(alt (+ (* J (cos K)) J) (patch (fma.f64 J (cos.f64 K) J) #<representation binary64>) () ())) ())
#s(alt (+ J (* J (cos K))) (taylor inf K) (#s(alt (+ (* J (cos K)) J) (patch (fma.f64 J (cos.f64 K) J) #<representation binary64>) () ())) ())
#s(alt (+ J (* J (cos K))) (taylor inf K) (#s(alt (+ (* J (cos K)) J) (patch (fma.f64 J (cos.f64 K) J) #<representation binary64>) () ())) ())
#s(alt (+ J (* J (cos K))) (taylor -inf K) (#s(alt (+ (* J (cos K)) J) (patch (fma.f64 J (cos.f64 K) J) #<representation binary64>) () ())) ())
#s(alt (+ J (* J (cos K))) (taylor -inf K) (#s(alt (+ (* J (cos K)) J) (patch (fma.f64 J (cos.f64 K) J) #<representation binary64>) () ())) ())
#s(alt (+ J (* J (cos K))) (taylor -inf K) (#s(alt (+ (* J (cos K)) J) (patch (fma.f64 J (cos.f64 K) J) #<representation binary64>) () ())) ())
#s(alt (+ J (* J (cos K))) (taylor -inf K) (#s(alt (+ (* J (cos K)) J) (patch (fma.f64 J (cos.f64 K) J) #<representation binary64>) () ())) ())
#s(alt (* -2 J) (taylor 0 K) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 J) (* 1/4 (* J (pow K 2)))) (taylor 0 K) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) (taylor 0 K) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) (taylor 0 K) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor inf K) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor inf K) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor inf K) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor inf K) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor -inf K) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor -inf K) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor -inf K) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor -inf K) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor 0 J) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor 0 J) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor 0 J) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor 0 J) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor inf J) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor inf J) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor inf J) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor inf J) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor -inf J) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor -inf J) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor -inf J) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor -inf J) (#s(alt (* (cos (* 1/2 K)) (* J -2)) (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())

Calls

138 calls:

Time	Variable		Point	Expression
1.0ms	J	@	0	(+ (* (* K K) (+ (* (* J J) 1/4) (* -1/32 (* U U)))) (+ (* (* J J) -2) (* (* U U) -1/4)))
1.0ms	K	@	0	(+ (* (* K K) (+ (* (* J J) 1/4) (* -1/32 (* U U)))) (+ (* (* J J) -2) (* (* U U) -1/4)))
1.0ms	K	@	inf	(+ (* (* K K) (+ (* (* J J) 1/4) (* -1/32 (* U U)))) (+ (* (* J J) -2) (* (* U U) -1/4)))
1.0ms	U	@	inf	(/ U (* J (cos (* 1/2 K))))
1.0ms	U	@	0	(+ (* (* K K) (+ (* (* J J) 1/4) (* -1/32 (* U U)))) (+ (* (* J J) -2) (* (* U U) -1/4)))

rewrite680.0ms (5.2%)

Memory

0.2MiB live, 789.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 932×	`accelerator-lowering-fma.f32`
6 932×	`accelerator-lowering-fma.f64`
5 048×	`-lowering-.f32`
5 048×	`-lowering-.f64`
4 002×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	244
1	228	244
2	2018	244
0	8333	226

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 719

Calls

Call 1

Inputs
(* (/ 1/2 J) (/ U (+ (* J (cos K)) J)))
(+ 1 (* U (* (/ 1/2 J) (/ U (+ (* J (cos K)) J)))))
(* (* (* J (cos (* 1/2 K))) -2) (sqrt (+ 1 (* U (* (/ 1/2 J) (/ U (+ (* J (cos K)) J)))))))
(* (* J (cos (* 1/2 K))) -2)
(* J -2)
(+ (* J -2) (/ (* (* U U) -1/4) J))
(/ (* (* U U) -1/4) J)
(* (* U U) -1/4)
(* U U)
(+ (* (* K K) (+ (* (* J J) 1/4) (* -1/32 (* U U)))) (+ (* (* J J) -2) (* (* U U) -1/4)))
(/ (+ (* (* K K) (+ (* (* J J) 1/4) (* -1/32 (* U U)))) (+ (* (* J J) -2) (* (* U U) -1/4))) J)
(* K K)
(+ (* (* J J) 1/4) (* -1/32 (* U U)))
(+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (cos (* 1/2 K)) (* J -2)))
(* U -1/4)
(/ U (* J (cos (* 1/2 K))))
(* J (cos (* 1/2 K)))
(sqrt (+ 1 (* U (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))))))
(* U (* (/ 1/2 J) (/ U (+ (* J (cos K)) J))))
(+ (* J (cos K)) J)
(* (cos (* 1/2 K)) (* J -2))

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

simplify673.0ms (5.2%)

Memory

7.2MiB live, 902.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 654×	`accelerator-lowering-fma.f32`
12 654×	`accelerator-lowering-fma.f64`
8 804×	`-lowering-.f32`
8 804×	`-lowering-.f64`
3 918×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	695	10022
1	2275	9712
0	8589	9060

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

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

Outputs
(* 1/2 (/ U (* (pow J 2) (+ 1 (cos K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ U (* (pow J 2) (+ 1 (cos K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ U (* (pow J 2) (+ 1 (cos K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ U (* (pow J 2) (+ 1 (cos K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ U (* (pow J 2) (+ 1 (cos K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ U (* (pow J 2) (+ 1 (cos K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ U (* (pow J 2) (+ 1 (cos K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ U (* (pow J 2) (+ 1 (cos K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* -1/2 (/ U (* (pow J 2) (- (* -1 (cos K)) 1))))
(/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 J (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 J))))
(* -1/2 (/ U (* (pow J 2) (- (* -1 (cos K)) 1))))
(/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 J (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 J))))
(* -1/2 (/ U (* (pow J 2) (- (* -1 (cos K)) 1))))
(/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 J (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 J))))
(* -1/2 (/ U (* (pow J 2) (- (* -1 (cos K)) 1))))
(/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 J (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 J))))
(* 1/2 (/ U (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ U (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ U (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ U (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ U (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ U (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ U (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
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(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ U (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ U (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ U (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ U (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/4 (/ U (pow J 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) U) (.f64 J J))
(+ (* 1/16 (/ (* (pow K 2) U) (pow J 2))) (* 1/4 (/ U (pow J 2))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 U (.f64 J J)) (/.f64 (.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) U) (*.f64 J J)))
(+ (* 1/4 (/ U (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ U (pow J 2))) (* 1/96 (/ U (pow J 2)))))) (* 1/16 (/ U (pow J 2))))))
(fma.f64 (.f64 K K) (fma.f64 K (.f64 K (.f64 (/.f64 U (.f64 J J)) #s(literal 1/96 binary64))) (.f64 (/.f64 U (.f64 J J)) #s(literal 1/16 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) U) (.f64 J J)))
(+ (* 1/4 (/ U (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ U (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ U (pow J 2))) (+ (* 1/384 (/ U (pow J 2))) (* 1/4 (+ (* -1/32 (/ U (pow J 2))) (* 1/96 (/ U (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ U (pow J 2))) (* 1/96 (/ U (pow J 2))))))))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 (fma.f64 (/.f64 U (.f64 J J)) #s(literal 13/5760 binary64) (.f64 (/.f64 U (.f64 J J)) #s(literal -1/192 binary64))) #s(literal -1/2 binary64)) (.f64 (/.f64 U (.f64 J J)) #s(literal 1/96 binary64))) (.f64 (/.f64 U (.f64 J J)) #s(literal 1/16 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) U) (*.f64 J J)))
(* 1/2 (/ U (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ U (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ U (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
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(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ U (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ U (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ U (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) 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 (.f64 U U) (/.f64 #s(literal 1/2 binary64) (.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 (.f64 U U) (/.f64 #s(literal 1/2 binary64) (.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 (.f64 U U) (/.f64 #s(literal 1/2 binary64) (.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 (.f64 U U) (/.f64 #s(literal 1/2 binary64) (.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 (.f64 U U) (/.f64 #s(literal 1/2 binary64) (.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 (.f64 U U) (/.f64 #s(literal 1/2 binary64) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
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(* 2 (* (sqrt (/ J (+ J (* J (cos K))))) (* U (* (cos (* 1/2 K)) (sqrt 1/2)))))
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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)))
(* 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 (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 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 (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 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 (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 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 (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 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 #s(literal 1/16 binary64) (/.f64 (.f64 K (.f64 K (.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) (+ (* -1/2 (* (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 (.f64 K K) (/.f64 (.f64 #s(literal 1/96 binary64) (.f64 U U)) (.f64 J J)) (/.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) (+ (* 1/16 (/ (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 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 13/5760 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/192 binary64)))) (/.f64 (.f64 #s(literal 1/96 binary64) (.f64 U U)) (.f64 J J))) (/.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)))
(* 1/2 (/ (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)))
(* 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)))
(neg.f64 (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 J)))
(* -1 (* J (- (* -1 (cos K)) 1)))
(neg.f64 (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 J)))
(* -1 (* J (- (* -1 (cos K)) 1)))
(neg.f64 (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 J)))
(* -1 (* J (- (* -1 (cos K)) 1)))
(neg.f64 (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 J)))
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(+ (* -1/2 (* J (pow K 2))) (* 2 J))
(fma.f64 J #s(literal 2 binary64) (.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 J #s(literal 2 binary64) (.f64 K (.f64 K (fma.f64 (.f64 J (.f64 K K)) #s(literal 1/24 binary64) (*.f64 J #s(literal -1/2 binary64))))))
(+ (* 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 K (.f64 K (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/720 binary64) (.f64 J #s(literal 1/24 binary64)))) (.f64 J #s(literal -1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(+ 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)
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(fma.f64 J #s(literal -2 binary64) (.f64 (.f64 K K) (fma.f64 J #s(literal 1/4 binary64) (.f64 (.f64 J (*.f64 K K)) #s(literal -1/192 binary64)))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64) (.f64 J #s(literal -1/192 binary64)))) (.f64 J #s(literal 1/4 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))

eval262.0ms (2%)

Memory: -13.1MiB live, 448.7MiB allocated
Compiler: Compiled 54 504 to 3 534 computations (93.5% saved)

prune243.0ms (1.9%)

Memory

36.8MiB live, 539.4MiB allocated

Pruning

33 alts after pruning (27 fresh and 6 done)

	Pruned	Kept	Total
New	1 354	9	1 363
Fresh	4	18	22
Picked	3	2	5
Done	0	4	4
Total	1 361	33	1 394

Accuracy

100.0%

Counts

1 394 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.4%	(fma.f64 (.f64 U #s(literal -1/4 binary64)) (/.f64 U (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
	49.5%	(fma.f64 (.f64 U #s(literal -1/4 binary64)) (/.f64 U J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
	27.3%	(fma.f64 U (/.f64 (.f64 U #s(literal -1/4 binary64)) J) (.f64 J #s(literal -2 binary64)))
	47.5%	(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))
	27.6%	(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) (.f64 J J)))) J)
	16.5%	(/.f64 (fma.f64 (.f64 U U) #s(literal -1/4 binary64) (.f64 J (*.f64 J #s(literal -2 binary64)))) J)
	26.9%	(/.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 #s(literal 1 binary64) (fma.f64 U (/.f64 (.f64 U #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) (.f64 J J))))))
	26.2%	(/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)
	2.8%	(/.f64 (.f64 (.f64 K K) (fma.f64 U (.f64 U #s(literal -1/32 binary64)) (.f64 J (*.f64 J #s(literal 1/4 binary64))))) J)
	23.2%	(/.f64 (*.f64 U (neg.f64 U)) U)
	39.2%	(-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) U)) U)
	13.9%	(.f64 (-.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 (.f64 U U) (.f64 U U)) #s(literal 1/16 binary64)) (.f64 J J))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
	24.3%	(.f64 (-.f64 (.f64 (.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J)) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
	57.9%	(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J))) U #s(literal 1 binary64))))
	67.5%	(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) U) #s(literal 1 binary64))))
	53.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) U) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))
	44.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
	23.8%	(.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))))))
	29.6%	(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
	12.5%	(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
	10.9%	(.f64 (.f64 J #s(literal -2 binary64)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))
	41.5%	(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) (/.f64 U J) #s(literal 1 binary64))))
✓	30.2%	(.f64 (.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))))
	12.1%	(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
	12.1%	(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
✓	48.9%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
	14.2%	(.f64 U (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 J (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J))))
	24.2%	(.f64 J (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal -1/4 binary64) #s(literal -2 binary64)))
	23.8%	(.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)))
✓	26.2%	(*.f64 J #s(literal -2 binary64))
	53.9%	(neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
✓	41.3%	(neg.f64 U)
✓	14.3%	U

Compiler

Compiled 1 735 to 669 computations (61.4% saved)

regimes113.0ms (0.9%)

Memory

-4.8MiB live, 229.8MiB allocated

Counts

59 → 3

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)))
(/.f64 (*.f64 U (neg.f64 U)) U)
(.f64 (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) U)) U)
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 J (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal -1/4 binary64) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
(/.f64 (fma.f64 (.f64 U U) #s(literal -1/4 binary64) (.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 K K) (fma.f64 U (.f64 U #s(literal -1/32 binary64)) (.f64 J (*.f64 J #s(literal 1/4 binary64))))) J)
(.f64 U (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 J (*.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 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 J #s(literal -2 binary64)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))
(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) (/.f64 U J) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J J) #s(literal 1/4 binary64) (.f64 #s(literal -1/32 binary64) (.f64 U U))) (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
(.f64 (-.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 (.f64 U U) (.f64 U U)) #s(literal 1/16 binary64)) (.f64 J J))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)
(fma.f64 (.f64 U #s(literal -1/4 binary64)) (/.f64 U J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) U) J))
(.f64 (.f64 J #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 (.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)))) (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #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 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 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 #s(literal 1/2 binary64) K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.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 (.f64 J J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) (.f64 J J)))) J)
(.f64 (.f64 (.f64 #s(literal -2 binary64) U) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(.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))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J)
(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (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))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J))) U #s(literal 1 binary64))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) U) #s(literal 1 binary64))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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 U (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J)))))))
(/.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 #s(literal 1 binary64) (fma.f64 U (/.f64 (.f64 U #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) (.f64 J 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 -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) (/.f64 (neg.f64 U) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (/.f64 (.f64 J #s(literal 2 binary64)) U)) (.f64 #s(literal -2 binary64) 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) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 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)))))
(.f64 (-.f64 (.f64 (.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J)) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (.f64 (.f64 U U) #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 (+.f64 #s(literal 1 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:

22.0ms	(.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)))))
19.0ms	K
18.0ms	(/.f64 K #s(literal 2 binary64))
18.0ms	J
17.0ms	U

Results

Accuracy	Segments	Branch
85.5%	2	`J`
73.3%	3	`K`
88.2%	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)))))`
70.1%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
73.3%	3	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes31.0ms (0.2%)

Memory

-32.3MiB live, 51.7MiB allocated

Counts

56 → 3

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)))
(/.f64 (*.f64 U (neg.f64 U)) U)
(.f64 (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) U)) U)
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 J (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal -1/4 binary64) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
(/.f64 (fma.f64 (.f64 U U) #s(literal -1/4 binary64) (.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 K K) (fma.f64 U (.f64 U #s(literal -1/32 binary64)) (.f64 J (*.f64 J #s(literal 1/4 binary64))))) J)
(.f64 U (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 J (*.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 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 J #s(literal -2 binary64)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))
(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) (/.f64 U J) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J J) #s(literal 1/4 binary64) (.f64 #s(literal -1/32 binary64) (.f64 U U))) (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
(.f64 (-.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 (.f64 U U) (.f64 U U)) #s(literal 1/16 binary64)) (.f64 J J))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)
(fma.f64 (.f64 U #s(literal -1/4 binary64)) (/.f64 U J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) U) J))
(.f64 (.f64 J #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 (.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)))) (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #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 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 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 #s(literal 1/2 binary64) K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.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 (.f64 J J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) (.f64 J J)))) J)
(.f64 (.f64 (.f64 #s(literal -2 binary64) U) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(.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))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J)
(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (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))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J))) U #s(literal 1 binary64))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) U) #s(literal 1 binary64))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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 U (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J)))))))
(/.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 #s(literal 1 binary64) (fma.f64 U (/.f64 (.f64 U #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) (.f64 J 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 -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) (/.f64 (neg.f64 U) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (/.f64 (.f64 J #s(literal 2 binary64)) U)) (.f64 #s(literal -2 binary64) J))))))

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:

28.0ms

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

Results

Accuracy	Segments	Branch
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)

regimes18.0ms (0.1%)

Memory

5.0MiB live, 43.8MiB allocated

Counts

54 → 4

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)))
(/.f64 (*.f64 U (neg.f64 U)) U)
(.f64 (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) U)) U)
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 J (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal -1/4 binary64) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
(/.f64 (fma.f64 (.f64 U U) #s(literal -1/4 binary64) (.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 K K) (fma.f64 U (.f64 U #s(literal -1/32 binary64)) (.f64 J (*.f64 J #s(literal 1/4 binary64))))) J)
(.f64 U (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 J (*.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 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 J #s(literal -2 binary64)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))
(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) (/.f64 U J) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J J) #s(literal 1/4 binary64) (.f64 #s(literal -1/32 binary64) (.f64 U U))) (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
(.f64 (-.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 (.f64 U U) (.f64 U U)) #s(literal 1/16 binary64)) (.f64 J J))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)
(fma.f64 (.f64 U #s(literal -1/4 binary64)) (/.f64 U J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) U) J))
(.f64 (.f64 J #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 (.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)))) (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #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 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 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 #s(literal 1/2 binary64) K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.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 (.f64 J J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) (.f64 J J)))) J)
(.f64 (.f64 (.f64 #s(literal -2 binary64) U) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(.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))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J)
(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (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))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J))) U #s(literal 1 binary64))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) U) #s(literal 1 binary64))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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 U (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J)))))))
(/.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 #s(literal 1 binary64) (fma.f64 U (/.f64 (.f64 U #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) (.f64 J 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)

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

Calls

1 calls:

15.0ms

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

Results

Accuracy	Segments	Branch
99.4%	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)

regimes16.0ms (0.1%)

Memory

2.7MiB live, 40.9MiB allocated

Counts

49 → 3

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)))
(/.f64 (*.f64 U (neg.f64 U)) U)
(.f64 (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) U)) U)
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 J (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal -1/4 binary64) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
(/.f64 (fma.f64 (.f64 U U) #s(literal -1/4 binary64) (.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 K K) (fma.f64 U (.f64 U #s(literal -1/32 binary64)) (.f64 J (*.f64 J #s(literal 1/4 binary64))))) J)
(.f64 U (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 J (*.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 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 J #s(literal -2 binary64)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))
(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) (/.f64 U J) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J J) #s(literal 1/4 binary64) (.f64 #s(literal -1/32 binary64) (.f64 U U))) (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
(.f64 (-.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 (.f64 U U) (.f64 U U)) #s(literal 1/16 binary64)) (.f64 J J))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)
(fma.f64 (.f64 U #s(literal -1/4 binary64)) (/.f64 U J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) U) J))
(.f64 (.f64 J #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 (.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)))) (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #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 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 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 #s(literal 1/2 binary64) K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.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 (.f64 J J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) (.f64 J J)))) J)
(.f64 (.f64 (.f64 #s(literal -2 binary64) U) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(.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))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J)
(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (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))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J))) U #s(literal 1 binary64))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) U) #s(literal 1 binary64))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))

Outputs

(neg.f64 U)

(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) U) #s(literal 1 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
97.6%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes16.0ms (0.1%)

Memory

7.4MiB live, 46.1MiB allocated

Counts

47 → 4

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)))
(/.f64 (*.f64 U (neg.f64 U)) U)
(.f64 (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) U)) U)
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 J (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal -1/4 binary64) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
(/.f64 (fma.f64 (.f64 U U) #s(literal -1/4 binary64) (.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 K K) (fma.f64 U (.f64 U #s(literal -1/32 binary64)) (.f64 J (*.f64 J #s(literal 1/4 binary64))))) J)
(.f64 U (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 J (*.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 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 J #s(literal -2 binary64)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))
(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) (/.f64 U J) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J J) #s(literal 1/4 binary64) (.f64 #s(literal -1/32 binary64) (.f64 U U))) (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
(.f64 (-.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 (.f64 U U) (.f64 U U)) #s(literal 1/16 binary64)) (.f64 J J))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)
(fma.f64 (.f64 U #s(literal -1/4 binary64)) (/.f64 U J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) U) J))
(.f64 (.f64 J #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 (.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)))) (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #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 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 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 #s(literal 1/2 binary64) K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.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 (.f64 J J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) (.f64 J J)))) J)
(.f64 (.f64 (.f64 #s(literal -2 binary64) U) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(.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))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J)
(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (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))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 J (fma.f64 J (cos.f64 K) J))) U #s(literal 1 binary64))))

Outputs
(neg.f64 U)
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (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))))
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
94.2%	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)

regimes66.0ms (0.5%)

Memory

-13.9MiB live, 28.5MiB allocated

Counts

45 → 4

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)))
(/.f64 (*.f64 U (neg.f64 U)) U)
(.f64 (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) U)) U)
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 J (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal -1/4 binary64) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
(/.f64 (fma.f64 (.f64 U U) #s(literal -1/4 binary64) (.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 K K) (fma.f64 U (.f64 U #s(literal -1/32 binary64)) (.f64 J (*.f64 J #s(literal 1/4 binary64))))) J)
(.f64 U (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 J (*.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 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 J #s(literal -2 binary64)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))
(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) (/.f64 U J) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J J) #s(literal 1/4 binary64) (.f64 #s(literal -1/32 binary64) (.f64 U U))) (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
(.f64 (-.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 (.f64 U U) (.f64 U U)) #s(literal 1/16 binary64)) (.f64 J J))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)
(fma.f64 (.f64 U #s(literal -1/4 binary64)) (/.f64 U J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) U) J))
(.f64 (.f64 J #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 (.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)))) (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #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 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 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 #s(literal 1/2 binary64) K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.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 (.f64 J J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) (.f64 J J)))) J)
(.f64 (.f64 (.f64 #s(literal -2 binary64) U) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(.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))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J)

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

Calls

1 calls:

64.0ms

(*.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
94.2%	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)

regimes21.0ms (0.2%)

Memory

-7.1MiB live, 31.4MiB allocated

Counts

44 → 3

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)))
(/.f64 (*.f64 U (neg.f64 U)) U)
(.f64 (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) U)) U)
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 J (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal -1/4 binary64) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
(/.f64 (fma.f64 (.f64 U U) #s(literal -1/4 binary64) (.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 K K) (fma.f64 U (.f64 U #s(literal -1/32 binary64)) (.f64 J (*.f64 J #s(literal 1/4 binary64))))) J)
(.f64 U (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 J (*.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 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 J #s(literal -2 binary64)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))
(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) (/.f64 U J) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J J) #s(literal 1/4 binary64) (.f64 #s(literal -1/32 binary64) (.f64 U U))) (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
(.f64 (-.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 (.f64 U U) (.f64 U U)) #s(literal 1/16 binary64)) (.f64 J J))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)
(fma.f64 (.f64 U #s(literal -1/4 binary64)) (/.f64 U J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) U) J))
(.f64 (.f64 J #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 (.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)))) (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #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 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 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 #s(literal 1/2 binary64) K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.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 (.f64 J J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) (.f64 J J)))) J)
(.f64 (.f64 (.f64 #s(literal -2 binary64) U) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(.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 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))

Calls

1 calls:

19.0ms

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

Results

Accuracy	Segments	Branch
91.6%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes38.0ms (0.3%)

Memory

-11.8MiB live, 65.3MiB allocated

Counts

31 → 6

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)))
(/.f64 (*.f64 U (neg.f64 U)) U)
(.f64 (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) U)) U)
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 J (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal -1/4 binary64) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
(/.f64 (fma.f64 (.f64 U U) #s(literal -1/4 binary64) (.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 K K) (fma.f64 U (.f64 U #s(literal -1/32 binary64)) (.f64 J (*.f64 J #s(literal 1/4 binary64))))) J)
(.f64 U (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 J (*.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 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 J #s(literal -2 binary64)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))
(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) (/.f64 U J) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J J) #s(literal 1/4 binary64) (.f64 #s(literal -1/32 binary64) (.f64 U U))) (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
(.f64 (-.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 (.f64 U U) (.f64 U U)) #s(literal 1/16 binary64)) (.f64 J J))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)
(fma.f64 (.f64 U #s(literal -1/4 binary64)) (/.f64 U J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) U) J))
(.f64 (.f64 J #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 (.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)))) (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (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 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) (/.f64 U 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 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) (/.f64 U J) #s(literal 1 binary64))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
U

Calls

3 calls:

10.0ms

9.0ms

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

Results

Accuracy	Segments	Branch
72.0%	3	`J`
71.0%	3	`U`
89.4%	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 35 to 23 computations (34.3% saved)

regimes10.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

30 → 5

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)))
(/.f64 (*.f64 U (neg.f64 U)) U)
(.f64 (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) U)) U)
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 J (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal -1/4 binary64) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
(/.f64 (fma.f64 (.f64 U U) #s(literal -1/4 binary64) (.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 K K) (fma.f64 U (.f64 U #s(literal -1/32 binary64)) (.f64 J (*.f64 J #s(literal 1/4 binary64))))) J)
(.f64 U (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 J (*.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 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 J #s(literal -2 binary64)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))
(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) (/.f64 U J) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J J) #s(literal 1/4 binary64) (.f64 #s(literal -1/32 binary64) (.f64 U U))) (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
(.f64 (-.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 (.f64 U U) (.f64 U U)) #s(literal 1/16 binary64)) (.f64 J J))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)
(fma.f64 (.f64 U #s(literal -1/4 binary64)) (/.f64 U J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) U) J))
(.f64 (.f64 J #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 (.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)))) (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))

Outputs
(neg.f64 U)
(fma.f64 (.f64 U #s(literal -1/4 binary64)) (/.f64 U J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) (/.f64 U J) #s(literal 1 binary64))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
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
86.6%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes30.0ms (0.2%)

Memory

-24.9MiB live, 17.0MiB allocated

Counts

25 → 5

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)))
(/.f64 (*.f64 U (neg.f64 U)) U)
(.f64 (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) U)) U)
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 J (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal -1/4 binary64) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
(/.f64 (fma.f64 (.f64 U U) #s(literal -1/4 binary64) (.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 K K) (fma.f64 U (.f64 U #s(literal -1/32 binary64)) (.f64 J (*.f64 J #s(literal 1/4 binary64))))) J)
(.f64 U (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 J (*.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 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 J #s(literal -2 binary64)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))
(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) (/.f64 U J) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J J) #s(literal 1/4 binary64) (.f64 #s(literal -1/32 binary64) (.f64 U U))) (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
(.f64 (-.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 (.f64 U U) (.f64 U U)) #s(literal 1/16 binary64)) (.f64 J J))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
86.6%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes8.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

23 → 3

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)))
(/.f64 (*.f64 U (neg.f64 U)) U)
(.f64 (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) U)) U)
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 J (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal -1/4 binary64) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
(/.f64 (fma.f64 (.f64 U U) #s(literal -1/4 binary64) (.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 K K) (fma.f64 U (.f64 U #s(literal -1/32 binary64)) (.f64 J (*.f64 J #s(literal 1/4 binary64))))) J)
(.f64 U (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 J (*.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 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 J #s(literal -2 binary64)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))
(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) (/.f64 U J) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J J) #s(literal 1/4 binary64) (.f64 #s(literal -1/32 binary64) (.f64 U U))) (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
(.f64 (-.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 (.f64 U U) (.f64 U U)) #s(literal 1/16 binary64)) (.f64 J J))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
77.3%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes42.0ms (0.3%)

Memory

-3.9MiB live, 112.5MiB allocated

Counts

20 → 5

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)))
(/.f64 (*.f64 U (neg.f64 U)) U)
(.f64 (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) U)) U)
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 J (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal -1/4 binary64) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
(/.f64 (fma.f64 (.f64 U U) #s(literal -1/4 binary64) (.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 K K) (fma.f64 U (.f64 U #s(literal -1/32 binary64)) (.f64 J (*.f64 J #s(literal 1/4 binary64))))) J)
(.f64 U (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 J (*.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 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 J #s(literal -2 binary64)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))

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

Calls

6 calls:

7.0ms	U
7.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
7.0ms	(/.f64 K #s(literal 2 binary64))
6.0ms	K
6.0ms	J

Results

Accuracy	Segments	Branch
51.9%	2	`U`
53.6%	2	`J`
54.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
47.5%	4	`K`
47.5%	4	`(/.f64 K #s(literal 2 binary64))`
70.6%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes6.0ms (0%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

17 → 4

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)))
(/.f64 (*.f64 U (neg.f64 U)) U)
(.f64 (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) U)) U)
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) 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 J (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal -1/4 binary64) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 J J) #s(literal -2 binary64) (.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
(/.f64 (fma.f64 (.f64 U U) #s(literal -1/4 binary64) (.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 K K) (fma.f64 U (.f64 U #s(literal -1/32 binary64)) (.f64 J (*.f64 J #s(literal 1/4 binary64))))) J)
(.f64 U (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 J (*.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)))
(-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) U)) U)
U

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
66.3%	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)

regimes4.0ms (0%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

10 → 4

Calls

Call 1

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
66.1%	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 27 to 17 computations (37% saved)

regimes5.0ms (0%)

Memory

-34.1MiB live, 6.6MiB allocated

Counts

6 → 4

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)))
(/.f64 (*.f64 U (neg.f64 U)) U)
(.f64 (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 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
66.1%	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 27 to 17 computations (37% saved)

regimes2.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
U
(neg.f64 U)

Outputs
(neg.f64 U)
U

Calls

1 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)))))

Results

Accuracy	Segments	Branch
54.2%	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 27 to 17 computations (37% saved)

regimes9.0ms (0.1%)

Memory

25.9MiB live, 25.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
U

Outputs
U

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
14.3%	1	`K`
14.3%	1	`(/.f64 K #s(literal 2 binary64))`
14.3%	1	`U`
14.3%	1	`J`
14.3%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
14.3%	1	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1576884195486515e+301	+inf
0.0ms	-inf	-1.9796562638336636e+301

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch2.0ms (0%)

Memory

-36.2MiB live, 3.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1576884195486515e+301	+inf
0.0ms	-1.9796562638336636e+301	-6.60152719792287e+299

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.1576884195486515e+301	+inf
0.0ms	-1.6055932666316916e-37	-4.388660612127871e-38
0.0ms	-1.9796562638336636e+301	-6.60152719792287e+299

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1576884195486515e+301	+inf
0.0ms	-1.9796562638336636e+301	-6.60152719792287e+299

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.1576884195486515e+301	+inf
0.0ms	3.274952430012435e-96	3.6077679977935014e-88
0.0ms	-1.9796562638336636e+301	-6.60152719792287e+299

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.1576884195486515e+301	+inf
0.0ms	3.274952430012435e-96	3.6077679977935014e-88
0.0ms	-1.9796562638336636e+301	-6.60152719792287e+299

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1576884195486515e+301	+inf
0.0ms	-1.9796562638336636e+301	-6.60152719792287e+299

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	1.1576884195486515e+301	+inf
0.0ms	-1.5693233512666277e-191	-1.0818531230134388e-203
0.0ms	-7.696586944865295e-9	-7.798627140375147e-22
0.0ms	-8.059132507660872e+218	-4.392373921385389e+218
0.0ms	-inf	-1.9796562638336636e+301

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.1576884195486515e+301	+inf
0.0ms	-1.5693233512666277e-191	-1.0818531230134388e-203
0.0ms	-4.257131425090057e+166	-1.744725950424103e+165
0.0ms	-1.9796562638336636e+301	-6.60152719792287e+299

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.1576884195486515e+301	+inf
0.0ms	-1.5693233512666277e-191	-1.0818531230134388e-203
0.0ms	-4.257131425090057e+166	-1.744725950424103e+165
0.0ms	-1.9796562638336636e+301	-6.60152719792287e+299

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-3.630352095662921e-299	4.812669629315237e-235
0.0ms	-inf	-1.9796562638336636e+301

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	-3.630352095662921e-299	4.812669629315237e-235
0.0ms	-2.4375586602121976e-82	-1.9194594963447614e-88
0.0ms	-1.744725950424103e+165	-2.065107486947917e+152
0.0ms	-1.9796562638336636e+301	-6.60152719792287e+299

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-3.630352095662921e-299	4.812669629315237e-235
0.0ms	-5.975967150400114e-34	-1.6055932666316916e-37
0.0ms	-1.9796562638336636e+301	-6.60152719792287e+299

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-3.630352095662921e-299	4.812669629315237e-235
0.0ms	-5.975967150400114e-34	-1.6055932666316916e-37
0.0ms	-1.9796562638336636e+301	-6.60152719792287e+299

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-3.630352095662921e-299	4.812669629315237e-235
0.0ms	-5.975967150400114e-34	-1.6055932666316916e-37
0.0ms	-1.9796562638336636e+301	-6.60152719792287e+299

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.630352095662921e-299	4.812669629315237e-235

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify28.0ms (0.2%)

Memory

-7.8MiB live, 68.4MiB allocated

Algorithm

1×	egg-herbie

Rules

64×	`*-commutative_binary64`
12×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	1742
1	197	1742
2	200	1742
3	201	1742

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 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 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 -10000000000000000525047602552044202487044685811081591549158541155118024579889081957863713750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428381156694721963868654594005401600 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 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 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 -10000000000000000525047602552044202487044685811081591549158541155118024579889081957863713750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428381156694721963868654594005401600 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 -4789048565205903/47890485652059026823698344598447161988085597568237568 binary64)) (.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) 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 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) (.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) U) #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 -10000000000000000525047602552044202487044685811081591549158541155118024579889081957863713750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428381156694721963868654594005401600 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 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) (.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) U) #s(literal 1 binary64)))) U))
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U

Outputs
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U

soundness1.9s (14.5%)

Memory

59.0MiB live, 1 984.0MiB allocated

Rules

19 354×	`accelerator-lowering-fma.f32`
19 354×	`accelerator-lowering-fma.f64`
13 786×	`accelerator-lowering-fma.f32`
13 786×	`accelerator-lowering-fma.f64`
12 654×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	360	3717
1	1153	3609
2	4514	3477
0	8499	3319
0	41	231
1	209	195
2	1684	191
0	8627	180
0	879	10658
1	2869	10404
0	8433	9785
0	43	244
1	228	244
2	2018	244
0	8333	226
0	678	8514
1	2241	8290
0	8447	7794
0	17	66
1	68	66
2	420	66
3	4348	66
0	8113	66
0	695	10022
1	2275	9712
0	8589	9060
0	46	247
1	222	247
2	1455	247
0	8337	231

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
1×	iter limit
1×	node limit

Compiler

Compiled 2 719 to 859 computations (68.4% saved)

preprocess120.0ms (0.9%)

Memory

-22.7MiB live, 291.6MiB allocated

Remove

(negabs J)

(abs K)

Compiler

Compiled 4 216 to 518 computations (87.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze425.0ms (3.3%)

sample2.2s (17.2%)

preprocess140.0ms (1.1%)

explain221.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify51.0ms (0.4%)

localize55.0ms (0.4%)

series38.0ms (0.3%)

rewrite291.0ms (2.2%)

simplify476.0ms (3.7%)

eval83.0ms (0.6%)

prune99.0ms (0.8%)

simplify233.0ms (1.8%)

localize186.0ms (1.4%)

series76.0ms (0.6%)

rewrite332.0ms (2.6%)

simplify788.0ms (6%)

eval241.0ms (1.9%)

prune217.0ms (1.7%)

simplify62.0ms (0.5%)

localize175.0ms (1.3%)

series102.0ms (0.8%)

rewrite423.0ms (3.2%)

simplify520.0ms (4%)

eval376.0ms (2.9%)

prune249.0ms (1.9%)

simplify373.0ms (2.9%)

localize165.0ms (1.3%)

series44.0ms (0.3%)

rewrite680.0ms (5.2%)

simplify673.0ms (5.2%)

eval262.0ms (2%)

prune243.0ms (1.9%)

regimes113.0ms (0.9%)

regimes31.0ms (0.2%)

regimes18.0ms (0.1%)

regimes16.0ms (0.1%)

regimes16.0ms (0.1%)

regimes66.0ms (0.5%)

regimes21.0ms (0.2%)

regimes38.0ms (0.3%)

regimes10.0ms (0.1%)

regimes30.0ms (0.2%)

regimes8.0ms (0.1%)

regimes42.0ms (0.3%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes5.0ms (0%)

regimes2.0ms (0%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify28.0ms (0.2%)

soundness1.9s (14.5%)

preprocess120.0ms (0.9%)

end0.0ms (0%)

Profiling