Metrics for Maksimov and Kolovsky, Equation (3)

analyze281.0ms (2.2%)

Memory

35.1MiB live, 628.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample2.1s (16.3%)

Memory

-159.0MiB live, 2 222.2MiB allocated

Samples

1.7s

8 256×

valid

Precisions

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

ival-div: 441.0ms (31.8% of total)

ival-mult: 387.0ms (27.9% of total)

ival-cos: 287.0ms (20.7% of total)

ival-pow2: 142.0ms (10.2% of total)

ival-sqrt: 71.0ms (5.1% of total)

ival-add: 37.0ms (2.7% of total)

exact: 13.0ms (0.9% of total)

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

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

Bogosity

preprocess115.0ms (0.9%)

Memory

-27.0MiB live, 113.2MiB allocated

Algorithm

1×	egg-herbie

Rules

1 014×	`neg-mul-1`
984×	`distribute-lft-neg-in`
852×	`lower-*.f32`
842×	`lower-*.f64`
842×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	228
1	182	216
2	603	216
3	2240	216
4	4090	216
5	6770	216
0	17	24
0	28	24
1	44	24
2	87	24
3	211	24
4	609	24
5	1121	24
6	1532	24
7	1595	24
8	1612	24
9	1623	24
10	1625	24
11	1625	24
12	1625	24
0	1625	24

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs U)

(abs K)

(negabs J)

explain235.0ms (1.9%)

Memory

19.0MiB live, 495.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
36	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))))`
31	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	127	(9.420087572496526e-45 1.3430154876038939e+185 5.106151828312726e-280)	-	`(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	127	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	36	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	31
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	31
↳	`(+.f64 #s(literal 1 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	67
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	67
`*.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**	31	0

Confusion

	Predicted +	Predicted -
+	67	0
-	94	95

Precision

0.4161490683229814

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	67	0	0
-	94	0	95

Precision?

0.4161490683229814

Recall?

1.0

Freqs

test

number	freq
0	95
1	128
2	33

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: 15.0ms (32.7% of total)

ival-cos: 12.0ms (26.2% of total)

ival-div: 6.0ms (13.1% of total)

ival-sqrt: 5.0ms (10.9% of total)

ival-pow2: 4.0ms (8.7% of total)

ival-add: 2.0ms (4.4% of total)

exact: 1.0ms (2.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.1%	(.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

▶

75.1%

(*.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)

simplify52.0ms (0.4%)

Memory

11.8MiB live, 50.7MiB 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×	`lower-*.f32`
842×	`lower-*.f64`
786×	`associate-*r/`
758×	`lower-/.f32`
754×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	110
0	28	110
1	44	110
2	87	110
3	211	110
4	609	110
5	1121	110
6	1532	110
7	1595	110
8	1612	110
9	1623	110
10	1625	110
11	1625	110
12	1625	110
0	1625	110

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize69.0ms (0.5%)

Memory

-45.1MiB live, 108.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	99.7%	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
✓	accuracy	88.5%	(.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	86.8%	(sqrt.f64 (+.f64 #s(literal 1 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

46.0ms

256×

valid

Compiler

Compiled 112 to 19 computations (83% saved)

Precisions

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

ival-mult: 9.0ms (38.6% of total)

ival-cos: 6.0ms (25.7% of total)

ival-div: 3.0ms (12.9% of total)

ival-sqrt: 2.0ms (8.6% of total)

ival-pow2: 2.0ms (8.6% of total)

ival-add: 1.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.3%)

Memory

-3.1MiB live, 70.4MiB allocated

Counts

6 → 156

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (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 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -2 binary64) J) (patch (.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())
#s(alt (cos.f64 (/.f64 K #s(literal 2 binary64))) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) (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.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (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 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (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 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (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 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (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 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (taylor -inf K) (#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) (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 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 U) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 0 U) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 0 U) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 0 U) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 U) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 U) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 U) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 U) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 U) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 U) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 U) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 U) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 0 J) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 0 J) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 0 J) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 0 J) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 J) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 J) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 J) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 J) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 J) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 J) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 J) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 J) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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))) (taylor 0 K) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) (taylor 0 K) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 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)))))) (taylor 0 K) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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 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)))))))))) (taylor 0 K) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (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
8.0ms	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	(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))))

rewrite256.0ms (2%)

Memory

12.1MiB live, 408.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 552×	`lower-*.f32`
3 542×	`lower-*.f64`
3 418×	`lower-fma.f64`
3 418×	`lower-fma.f32`
2 050×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 306

Calls

Call 1

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

Outputs
(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)))))
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(.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))))))))

simplify612.0ms (4.8%)

Memory

17.0MiB live, 726.2MiB allocated

Algorithm

1×	egg-herbie

Rules

19 354×	`lower-fma.f64`
19 354×	`lower-fma.f32`
6 716×	`lower-*.f64`
6 716×	`lower-*.f32`
4 982×	`lower-+.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 → 155

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))))))
(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)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 U (.f64 U (fma.f64 U (.f64 U (/.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (.f64 J (.f64 J J))))) (/.f64 #s(literal -1/4 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
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(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))))

eval144.0ms (1.1%)

Memory: -24.3MiB live, 105.2MiB allocated
Compiler: Compiled 16 365 to 1 763 computations (89.2% saved)

prune122.0ms (1%)

Memory

17.3MiB live, 94.7MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	466	13	479
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	467	13	480

Accuracy

99.9%

Counts

480 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.2%	(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))
▶	56.3%	(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)))))
	39.1%	(.f64 (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) (.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)))))
	41.1%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
▶	75.1%	(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	9.2%	(.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)))))
▶	54.9%	(.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))))
	72.4%	(.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 U (.f64 J #s(literal 2 binary64)))) (.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)))))))))))
▶	65.2%	(.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)
	34.4%	(.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))
	10.9%	(.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)))
	57.6%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
▶	34.9%	(neg.f64 U)

Compiler

Compiled 656 to 442 computations (32.6% saved)

simplify180.0ms (1.4%)

Memory

6.4MiB live, 161.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

3 168×	`lower-*.f32`
3 126×	`lower-*.f64`
2 514×	`lower-/.f32`
2 504×	`lower-/.f64`
2 326×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	470
0	94	452
1	181	434
2	392	404
3	1003	404
4	3015	404
5	3302	404
6	3997	404
7	4709	404
8	4892	404
9	4931	404
10	7363	404
0	8030	397

Stop Event

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

Calls

Call 1

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

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

localize371.0ms (2.9%)

Memory

10.0MiB live, 286.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.7%	(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))
✓	accuracy	88.4%	(.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)
✓	accuracy	87.8%	(/.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)))))
✓	accuracy	86.8%	(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)))
✓	accuracy	100.0%	(.f64 #s(literal -1/4 binary64) (.f64 U U))
✓	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	99.8%	(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
✓	accuracy	86.9%	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
✓	accuracy	99.8%	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	88.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
✓	accuracy	86.8%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))
✓	accuracy	76.6%	(/.f64 (.f64 U U) (.f64 J J))
✓	accuracy	100.0%	(neg.f64 U)
✓	accuracy	99.8%	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
✓	accuracy	99.7%	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
✓	accuracy	88.5%	(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
✓	accuracy	86.8%	(sqrt.f64 (+.f64 #s(literal 1 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

242.0ms

256×

valid

Compiler

Compiled 480 to 55 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-mult: 75.0ms (43.1% of total)

ival-add: 61.0ms (35% of total)

ival-cos: 20.0ms (11.5% of total)

ival-div: 8.0ms (4.6% of total)

ival-sqrt: 5.0ms (2.9% of total)

ival-pow2: 2.0ms (1.1% of total)

exact: 1.0ms (0.6% of total)

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

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

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

series139.0ms (1.1%)

Memory

-2.9MiB live, 146.3MiB allocated

Counts

26 → 636

Calls

Call 1

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

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

Calls

159 calls:

Time	Variable		Point	Expression
12.0ms	K	@	0	(* (* J (cos (* K 1/2))) -2)
9.0ms	J	@	-inf	(/ (* U U) (* J J))
7.0ms	K	@	inf	(* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))
2.0ms	K	@	0	(+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)
2.0ms	K	@	0	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)))

rewrite477.0ms (3.8%)

Memory

-5.9MiB live, 387.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 818×	`lower-fma.f32`
4 812×	`lower-fma.f64`
4 222×	`lower-*.f32`
4 180×	`lower-*.f64`
3 868×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	309
0	94	283
1	299	259
2	1795	252
0	8549	252

Stop Event

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

Counts

26 → 697

Calls

Call 1

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

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

simplify483.0ms (3.8%)

Memory

28.1MiB live, 702.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 474×	`lower-fma.f64`
8 474×	`lower-fma.f32`
6 202×	`lower-*.f64`
6 202×	`lower-*.f32`
5 960×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	871	12490
1	2877	12219
2	7914	12214
0	8177	11514

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 621

Calls

Call 1

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

Outputs
(* 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 U)
(neg.f64 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 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) U)) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(fma.f64 (.f64 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)))))) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(fma.f64 (.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)) (neg.f64 U))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 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 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (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))))) (+ (* -1/512 (/ (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 -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 (.f64 #s(literal -1/512 binary64) (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))))))))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(.f64 (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))))) (neg.f64 J))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(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 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 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 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(.f64 (.f64 #s(literal -2 binary64) J) (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))))))) (* -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 (.f64 K K) (fma.f64 (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 #s(literal 1/32 binary64) (.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)))))) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))))
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(* 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 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 J J (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 J J))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 J J (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 J J))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 J J (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 J J))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))

eval234.0ms (1.9%)

Memory: -10.1MiB live, 454.7MiB allocated
Compiler: Compiled 44 312 to 4 054 computations (90.9% saved)

prune290.0ms (2.3%)

Memory

-7.6MiB live, 483.6MiB allocated

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	1 395	24	1 419
Fresh	6	2	8
Picked	3	2	5
Done	0	0	0
Total	1 404	28	1 432

Accuracy

99.9%

Counts

1 432 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.2%	(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))
	30.0%	(fma.f64 (.f64 K K) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 J #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J) (*.f64 #s(literal -2 binary64) J)))
	32.0%	(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal -2 binary64) J))
✓	56.3%	(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)))))
	55.5%	(fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))
	31.7%	(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
	10.7%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
▶	18.1%	(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
	28.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 J (.f64 #s(literal 4 binary64) J))) (/.f64 (.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (.f64 U U) #s(literal -1/4 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 J J))))))
▶	30.9%	(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
	31.2%	(.f64 (fma.f64 #s(literal -2 binary64) J (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
	9.2%	(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
▶	75.1%	(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
▶	51.2%	(.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)))
	22.4%	(.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))
	52.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (/.f64 (.f64 U U) (.f64 J J))) #s(literal -1 binary64))))))
	21.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
	74.9%	(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
	57.7%	(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
	59.5%	(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal 1 binary64))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal -2 binary64))
	22.0%	(.f64 (.f64 U U) (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U))) (/.f64 #s(literal -1/4 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
	34.4%	(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
	57.6%	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
▶	10.9%	(.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)))
	28.7%	(.f64 (neg.f64 U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
	1.5%	(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
	45.9%	(neg.f64 (.f64 (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
✓	34.9%	(neg.f64 U)

Compiler

Compiled 1 246 to 809 computations (35.1% saved)

simplify201.0ms (1.6%)

Memory

14.3MiB live, 408.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U)))
✓	cost-diff	0	(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))
✓	cost-diff	0	(neg.f64 U)
✓	cost-diff	768	(.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)))
✓	cost-diff	0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) J)
✓	cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	cost-diff	320	(.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)))
✓	cost-diff	0	(*.f64 K K)
✓	cost-diff	0	(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
✓	cost-diff	320	(fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (*.f64 J #s(literal 1/4 binary64)))
✓	cost-diff	320	(fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))
✓	cost-diff	0	(*.f64 U U)
✓	cost-diff	0	(neg.f64 (*.f64 U U))
✓	cost-diff	192	(+.f64 #s(literal 0 binary64) U)
✓	cost-diff	1024	(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
✓	cost-diff	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓	cost-diff	0	(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))

Rules

5 358×	`lower-*.f32`
5 322×	`lower-*.f64`
4 430×	`lower-fma.f32`
4 420×	`lower-fma.f64`
2 624×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	396
0	97	396
1	199	393
2	554	385
3	2078	378
4	6649	378
0	8548	371

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
U
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(neg.f64 (*.f64 U U))
(*.f64 U U)
U
(+.f64 #s(literal 0 binary64) U)
#s(literal 0 binary64)
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (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 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 K K)
K
(fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (*.f64 J #s(literal 1/4 binary64)))
(.f64 J (.f64 K K))
J
#s(literal -1/192 binary64)
(*.f64 J #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal -2 binary64) 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)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))
(/.f64 (.f64 U U) (.f64 J J))
(*.f64 U U)
U
(*.f64 J J)
#s(literal 1 binary64)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64))
(*.f64 U U)
U
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
#s(literal 1/8 binary64)
(*.f64 J J)
#s(literal 1 binary64)
(.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)))
(neg.f64 U)
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))
#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)))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
#s(literal 2 binary64)
(/.f64 (.f64 J J) (.f64 U U))
(*.f64 J J)
J
(*.f64 U U)
#s(literal -1 binary64)

Outputs
(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
U
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(neg.f64 U)
(neg.f64 (*.f64 U U))
(*.f64 U (neg.f64 U))
(*.f64 U U)
U
(+.f64 #s(literal 0 binary64) U)
U
#s(literal 0 binary64)
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 J (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) #s(literal -2 binary64))) (sqrt.f64 (fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 J J)) #s(literal 1 binary64))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))
(.f64 J (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(*.f64 K K)
K
(fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (*.f64 J #s(literal 1/4 binary64)))
(.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)))
(.f64 J (.f64 K K))
J
#s(literal -1/192 binary64)
(*.f64 J #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 J J)) #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 U U) (/.f64 #s(literal 1/4 binary64) (.f64 J J)) #s(literal 1 binary64))
(/.f64 (.f64 U U) (.f64 J J))
(.f64 U (/.f64 U (.f64 J J)))
(*.f64 U U)
U
(*.f64 J J)
#s(literal 1 binary64)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J (fma.f64 (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 J J)) #s(literal -2 binary64))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64))
(*.f64 U U)
U
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
#s(literal 1/8 binary64)
(*.f64 J J)
#s(literal 1 binary64)
(.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 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J (/.f64 J U))) U)
(neg.f64 U)
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 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (.f64 U U)) #s(literal -1 binary64))
#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)))
(.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U)))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
#s(literal 2 binary64)
(/.f64 (.f64 J J) (.f64 U U))
(*.f64 J J)
J
(*.f64 U U)
#s(literal -1 binary64)

localize242.0ms (1.9%)

Memory

-12.4MiB live, 384.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U)))
✓	accuracy	99.6%	(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓	accuracy	92.9%	(.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)))
✓	accuracy	76.5%	(/.f64 (.f64 J J) (.f64 U U))
✓	accuracy	99.8%	(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
✓	accuracy	99.8%	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	96.6%	(.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)))
✓	accuracy	83.2%	(fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64))
✓	accuracy	94.1%	(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
✓	accuracy	87.6%	(.f64 J (.f64 K K))
✓	accuracy	86.8%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))
✓	accuracy	76.6%	(/.f64 (.f64 U U) (.f64 J J))
✓	accuracy	100.0%	(+.f64 #s(literal 0 binary64) U)
✓	accuracy	100.0%	(*.f64 U U)
✓	accuracy	100.0%	(neg.f64 (*.f64 U U))
✓	accuracy	50.8%	(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
✓	accuracy	99.8%	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
✓	accuracy	99.7%	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))
✓	accuracy	88.5%	(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
✓	accuracy	86.8%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))

Samples

160.0ms

256×

valid

Compiler

Compiled 410 to 59 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-mult: 35.0ms (35.4% of total)

ival-add: 20.0ms (20.2% of total)

ival-cos: 16.0ms (16.2% of total)

ival-div: 10.0ms (10.1% of total)

ival-sqrt: 7.0ms (7.1% of total)

const: 4.0ms (4% of total)

ival-pow2: 4.0ms (4% of total)

ival-neg: 2.0ms (2% of total)

exact: 1.0ms (1% of total)

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

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

series78.0ms (0.6%)

Memory

10.4MiB live, 128.7MiB allocated

Counts

29 → 660

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (patch (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (patch (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 K #s(literal 1/2 binary64))) (patch (cos.f64 (.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (.f64 U U)) (+.f64 #s(literal 0 binary64) U)) (patch (/.f64 (neg.f64 (.f64 U U)) (+.f64 #s(literal 0 binary64) U)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) U) (patch (+.f64 #s(literal 0 binary64) U) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 U U)) (patch (neg.f64 (.f64 U U)) #<representation binary64>) () ())
#s(alt (.f64 U U) (patch (.f64 U U) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (patch (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (patch (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (patch (.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 K K) (patch (.f64 K K) #<representation binary64>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -2 binary64) J) (patch (.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())
#s(alt (cos.f64 (/.f64 K #s(literal 2 binary64))) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())
#s(alt (neg.f64 U) (patch (neg.f64 U) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U))) (patch (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (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 1/2 binary64))))) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 U U) (.f64 J J)) (patch (/.f64 (.f64 U U) (.f64 J J)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (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 (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 J J)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 J J) (.f64 U U)) (patch (/.f64 (.f64 J J) (.f64 U U)) #<representation binary64>) () ())
#s(alt (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -1 U) (taylor 0 J) (#s(alt (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 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 (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 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 (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 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 (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) (taylor inf J) (#s(alt (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (/ (pow J 2) (pow U 2)) (taylor -inf J) (#s(alt (/.f64 (.f64 J J) (.f64 U U)) (patch (/.f64 (.f64 J J) (.f64 U U)) #<representation binary64>) () ())) ())
#s(alt (/ (pow J 2) (pow U 2)) (taylor -inf J) (#s(alt (/.f64 (.f64 J J) (.f64 U U)) (patch (/.f64 (.f64 J J) (.f64 U U)) #<representation binary64>) () ())) ())
#s(alt (/ (pow J 2) (pow U 2)) (taylor -inf J) (#s(alt (/.f64 (.f64 J J) (.f64 U U)) (patch (/.f64 (.f64 J J) (.f64 U U)) #<representation binary64>) () ())) ())
#s(alt (/ (pow J 2) (pow U 2)) (taylor -inf J) (#s(alt (/.f64 (.f64 J J) (.f64 U U)) (patch (/.f64 (.f64 J J) (.f64 U U)) #<representation binary64>) () ())) ())
#s(alt (/ (pow J 2) (pow U 2)) (taylor 0 U) (#s(alt (/.f64 (.f64 J J) (.f64 U U)) (patch (/.f64 (.f64 J J) (.f64 U U)) #<representation binary64>) () ())) ())
#s(alt (/ (pow J 2) (pow U 2)) (taylor 0 U) (#s(alt (/.f64 (.f64 J J) (.f64 U U)) (patch (/.f64 (.f64 J J) (.f64 U U)) #<representation binary64>) () ())) ())
#s(alt (/ (pow J 2) (pow U 2)) (taylor 0 U) (#s(alt (/.f64 (.f64 J J) (.f64 U U)) (patch (/.f64 (.f64 J J) (.f64 U U)) #<representation binary64>) () ())) ())
#s(alt (/ (pow J 2) (pow U 2)) (taylor 0 U) (#s(alt (/.f64 (.f64 J J) (.f64 U U)) (patch (/.f64 (.f64 J J) (.f64 U U)) #<representation binary64>) () ())) ())
#s(alt (/ (pow J 2) (pow U 2)) (taylor inf U) (#s(alt (/.f64 (.f64 J J) (.f64 U U)) (patch (/.f64 (.f64 J J) (.f64 U U)) #<representation binary64>) () ())) ())
#s(alt (/ (pow J 2) (pow U 2)) (taylor inf U) (#s(alt (/.f64 (.f64 J J) (.f64 U U)) (patch (/.f64 (.f64 J J) (.f64 U U)) #<representation binary64>) () ())) ())
#s(alt (/ (pow J 2) (pow U 2)) (taylor inf U) (#s(alt (/.f64 (.f64 J J) (.f64 U U)) (patch (/.f64 (.f64 J J) (.f64 U U)) #<representation binary64>) () ())) ())
#s(alt (/ (pow J 2) (pow U 2)) (taylor inf U) (#s(alt (/.f64 (.f64 J J) (.f64 U U)) (patch (/.f64 (.f64 J J) (.f64 U U)) #<representation binary64>) () ())) ())
#s(alt (/ (pow J 2) (pow U 2)) (taylor -inf U) (#s(alt (/.f64 (.f64 J J) (.f64 U U)) (patch (/.f64 (.f64 J J) (.f64 U U)) #<representation binary64>) () ())) ())
#s(alt (/ (pow J 2) (pow U 2)) (taylor -inf U) (#s(alt (/.f64 (.f64 J J) (.f64 U U)) (patch (/.f64 (.f64 J J) (.f64 U U)) #<representation binary64>) () ())) ())
#s(alt (/ (pow J 2) (pow U 2)) (taylor -inf U) (#s(alt (/.f64 (.f64 J J) (.f64 U U)) (patch (/.f64 (.f64 J J) (.f64 U U)) #<representation binary64>) () ())) ())
#s(alt (/ (pow J 2) (pow U 2)) (taylor -inf U) (#s(alt (/.f64 (.f64 J J) (.f64 U U)) (patch (/.f64 (.f64 J J) (.f64 U U)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 K) (#s(alt (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (pow K 2))) (taylor 0 K) (#s(alt (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4))) (taylor 0 K) (#s(alt (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4))) (taylor 0 K) (#s(alt (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos (* 1/2 K)) 2) (taylor inf K) (#s(alt (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos (* 1/2 K)) 2) (taylor inf K) (#s(alt (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos (* 1/2 K)) 2) (taylor inf K) (#s(alt (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos (* 1/2 K)) 2) (taylor inf K) (#s(alt (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos (* 1/2 K)) 2) (taylor -inf K) (#s(alt (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos (* 1/2 K)) 2) (taylor -inf K) (#s(alt (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos (* 1/2 K)) 2) (taylor -inf K) (#s(alt (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos (* 1/2 K)) 2) (taylor -inf K) (#s(alt (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

165 calls:

Time	Variable		Point	Expression
17.0ms	U	@	inf	(* (* (* -2 J) (cos (/ K 2))) (+ (* (* U U) (/ 1/8 (* J J))) 1))
1.0ms	K	@	-inf	(* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1))
1.0ms	K	@	inf	(* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1))
1.0ms	J	@	0	(+ (* (* K K) (+ (* (* J (* K K)) -1/192) (* J 1/4))) (* -2 J))
1.0ms	J	@	inf	(+ (* (* K K) (+ (* (* J (* K K)) -1/192) (* J 1/4))) (* -2 J))

rewrite390.0ms (3.1%)

Memory

3.4MiB live, 613.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 674×	`lower-fma.f32`
4 664×	`lower-fma.f64`
4 582×	`lower-*.f32`
4 546×	`lower-*.f64`
3 784×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	284
0	97	284
1	342	257
2	2455	251
0	8940	245

Stop Event

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

Counts

29 → 1 006

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(+.f64 #s(literal 0 binary64) U)
(neg.f64 (*.f64 U U))
(*.f64 U U)
(fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))
(fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (*.f64 J #s(literal 1/4 binary64)))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(*.f64 K K)
(.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 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(.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)))
(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))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (.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)))
(.f64 J (.f64 K K))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/.f64 (.f64 J J) (.f64 U U))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))

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

simplify562.0ms (4.5%)

Memory

18.6MiB live, 689.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 738×	`lower-fma.f64`
12 738×	`lower-fma.f32`
9 300×	`lower-*.f64`
9 300×	`lower-*.f32`
4 548×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	737	10911
1	2414	10582
0	8364	9997

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 643

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))))
(* 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 (* -1/8 (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 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
U
U
U
U
U
U
U
U
U
U
U
U
(* -1 (pow U 2))
(* -1 (pow U 2))
(* -1 (pow U 2))
(* -1 (pow U 2))
(* -1 (pow U 2))
(* -1 (pow U 2))
(* -1 (pow U 2))
(* -1 (pow U 2))
(* -1 (pow U 2))
(* -1 (pow U 2))
(* -1 (pow U 2))
(* -1 (pow U 2))
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(* -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) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(* -1/192 (* J (pow K 4)))
(* (pow K 4) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))
(* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))
(* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))
(* -1/192 (* J (pow K 4)))
(* (pow K 4) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))
(* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))
(* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))
(* J (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2))
(* J (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2))
(* J (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2))
(* J (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2))
(* J (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2))
(* J (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2))
(* J (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2))
(* J (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2))
(* -1 (* J (+ 2 (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* -1 (* J (+ 2 (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* -1 (* J (+ 2 (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* -1 (* J (+ 2 (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* J (+ 1/4 (* -1/192 (pow K 2))))
(* J (+ 1/4 (* -1/192 (pow K 2))))
(* J (+ 1/4 (* -1/192 (pow K 2))))
(* J (+ 1/4 (* -1/192 (pow K 2))))
(* J (+ 1/4 (* -1/192 (pow K 2))))
(* J (+ 1/4 (* -1/192 (pow K 2))))
(* J (+ 1/4 (* -1/192 (pow K 2))))
(* J (+ 1/4 (* -1/192 (pow K 2))))
(* -1 (* J (- (* 1/192 (pow K 2)) 1/4)))
(* -1 (* J (- (* 1/192 (pow K 2)) 1/4)))
(* -1 (* J (- (* 1/192 (pow K 2)) 1/4)))
(* -1 (* J (- (* 1/192 (pow K 2)) 1/4)))
(* 1/4 J)
(+ (* -1/192 (* J (pow K 2))) (* 1/4 J))
(+ (* -1/192 (* J (pow K 2))) (* 1/4 J))
(+ (* -1/192 (* J (pow K 2))) (* 1/4 J))
(* -1/192 (* J (pow K 2)))
(* (pow K 2) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))
(* (pow K 2) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))
(* (pow K 2) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))
(* -1/192 (* J (pow K 2)))
(* (pow K 2) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))
(* (pow K 2) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))
(* (pow K 2) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* 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))))))))))
(* -1/192 (* (* J (pow K 4)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* (pow K 4) (+ (* -1/192 (* 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)))))))))
(* (pow K 4) (+ (* -2 (* (/ J (pow K 4)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* -1/192 (* 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))))))))))
(* (pow K 4) (+ (* -2 (* (/ J (pow K 4)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* -1/192 (* 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))))))))))
(* -1/192 (* (* J (pow K 4)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* (pow K 4) (+ (* -1/192 (* 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)))))))))
(* (pow K 4) (+ (* -2 (* (/ J (pow K 4)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* -1/192 (* 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))))))))))
(* (pow K 4) (+ (* -2 (* (/ J (pow K 4)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* -1/192 (* 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))))))))))
(* 1/2 (* U (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2)))
(+ (* 1/2 (* U (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2))) (* (pow J 2) (- (/ (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) U) (* 2 (/ 1 U)))))
(+ (* 1/2 (* U (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2))) (* (pow J 2) (- (+ (* -1 (/ (* (pow J 2) (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2)) (pow U 3))) (/ (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) U)) (* 2 (/ 1 U)))))
(+ (* 1/2 (* U (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2))) (* (pow J 2) (- (+ (* (pow J 2) (+ (* -1 (/ (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2) (pow U 3))) (* 2 (/ (* (pow J 2) (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2)) (pow U 5))))) (/ (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) U)) (* 2 (/ 1 U)))))
(* J (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2))
(* J (- (+ (* 1/8 (/ (* (pow U 2) (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2)) (pow J 2))) (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2))))) 2))
(* J (- (+ (* -1/128 (/ (* (pow U 4) (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2)) (pow J 4))) (+ (* 1/8 (/ (* (pow U 2) (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2)) (pow J 2))) (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))))) 2))
(* J (- (+ (* -1/128 (/ (* (pow U 4) (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2)) (pow J 4))) (+ (* 1/1024 (/ (* (pow U 6) (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2)) (pow J 6))) (+ (* 1/8 (/ (* (pow U 2) (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2)) (pow J 2))) (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2))))))) 2))
(* -1 (* J (+ 2 (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* -1 (* J (+ 2 (+ (* 1/8 (/ (* (pow U 2) (+ 2 (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (pow J 2))) (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))))))
(* -1 (* J (+ 2 (+ (* -1/128 (/ (* (pow U 4) (+ 2 (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (pow J 4))) (+ (* 1/8 (/ (* (pow U 2) (+ 2 (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (pow J 2))) (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
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(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 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))))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(* 1/2 (/ U J))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(* 1/8 (/ (pow U 2) (pow J 2)))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* 1/8 (/ (pow U 2) (pow J 2)))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* 1/8 (/ (pow U 2) (pow J 2)))
(/ (+ (* 1/8 (pow U 2)) (pow J 2)) (pow J 2))
(/ (+ (* 1/8 (pow U 2)) (pow J 2)) (pow J 2))
(/ (+ (* 1/8 (pow U 2)) (pow J 2)) (pow J 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
1
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 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 #s(literal -2 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(-.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 (.f64 (.f64 #s(literal 2 binary64) (.f64 J J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (.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 (.f64 (.f64 #s(literal -4 binary64) (.f64 J J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (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 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (.f64 #s(literal -2 binary64) (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))))) (+ (* -1/512 (/ (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 -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal -1/512 binary64) (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))))))))
(* -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 (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))))) (neg.f64 J))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(.f64 (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 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))) (neg.f64 J))
(* -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 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) #s(literal -1/64 binary64) (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 #s(literal 1/512 binary64) (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)))))))))
(* -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))))))))))))
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(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64))
(* 1/8 (/ (pow U 2) (pow J 2)))
(/.f64 (.f64 (.f64 U U) #s(literal 1/8 binary64)) (*.f64 J J))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64))
(* 1/8 (/ (pow U 2) (pow J 2)))
(/.f64 (.f64 (.f64 U U) #s(literal 1/8 binary64)) (*.f64 J J))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64))
(* 1/8 (/ (pow U 2) (pow J 2)))
(/.f64 (.f64 (.f64 U U) #s(literal 1/8 binary64)) (*.f64 J J))
(/ (+ (* 1/8 (pow U 2)) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 J J (.f64 (.f64 U U) #s(literal 1/8 binary64))) (*.f64 J J))
(/ (+ (* 1/8 (pow U 2)) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 J J (.f64 (.f64 U U) #s(literal 1/8 binary64))) (*.f64 J J))
(/ (+ (* 1/8 (pow U 2)) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 J J (.f64 (.f64 U U) #s(literal 1/8 binary64))) (*.f64 J J))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow K 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))

eval427.0ms (3.4%)

Memory: -13.4MiB live, 451.3MiB allocated
Compiler: Compiled 56 384 to 4 680 computations (91.7% saved)

prune380.0ms (3%)

Memory

4.8MiB live, 417.4MiB allocated

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	1 922	19	1 941
Fresh	11	10	21
Picked	4	1	5
Done	0	2	2
Total	1 937	32	1 969

Accuracy

99.9%

Counts

1 969 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.2%	(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))
	10.9%	(fma.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) (.f64 K #s(literal 1/2 binary64))))))) (*.f64 U U)) #s(literal 2 binary64)) U U)
	4.6%	(fma.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal 1 binary64) (.f64 U U)) (.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) (.f64 K #s(literal 1/2 binary64))))))) (*.f64 U U)) #s(literal 2 binary64)) U))
▶	30.9%	(fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))
	32.0%	(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal -2 binary64) J))
✓	56.3%	(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)))))
	55.5%	(fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))
	19.3%	(/.f64 (.f64 (.f64 U #s(literal 1/2 binary64)) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))) J)
	2.4%	(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) U) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))) J)
	31.5%	(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -2 binary64) (.f64 J J) (.f64 #s(literal -1/4 binary64) (*.f64 U U)))) J)
	18.1%	(/.f64 (*.f64 U U) (neg.f64 U))
	28.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 J (.f64 #s(literal 4 binary64) J))) (/.f64 (.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (.f64 U U) #s(literal -1/4 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 J J))))))
	34.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
▶	2.0%	(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
	33.8%	(.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
	28.0%	(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64)))
✓	75.1%	(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
	37.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.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)))))) #s(literal 1/2 binary64))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64)))
	37.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64)))
	52.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (/.f64 (.f64 U U) (.f64 J J))) #s(literal -1 binary64))))))
▶	74.9%	(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
	57.7%	(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
	22.0%	(.f64 (.f64 U U) (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U))) (/.f64 #s(literal -1/4 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
	18.1%	(.f64 (.f64 U U) (/.f64 #s(literal -1 binary64) U))
	30.8%	(.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64)))
	34.4%	(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
	57.6%	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
	10.8%	(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
▶	12.9%	(*.f64 (neg.f64 U) #s(literal -1 binary64))
	24.1%	(.f64 U (.f64 #s(literal 1/2 binary64) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal -2 binary64))))
	30.8%	(.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
✓	34.9%	(neg.f64 U)

Compiler

Compiled 1 373 to 885 computations (35.5% saved)

simplify206.0ms (1.6%)

Memory

17.7MiB live, 365.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓	cost-diff	0	(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
✓	cost-diff	0	(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))
✓	cost-diff	0	(*.f64 K K)
✓	cost-diff	320	(fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (*.f64 J #s(literal 1/4 binary64)))
✓	cost-diff	320	(fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))
✓	cost-diff	704	(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
✓	cost-diff	0	(fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))
✓	cost-diff	0	(.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)))
✓	cost-diff	0	(*.f64 K K)
✓	cost-diff	320	(fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))
✓	cost-diff	0	(neg.f64 U)
✓	cost-diff	448	(*.f64 (neg.f64 U) #s(literal -1 binary64))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
✓	cost-diff	320	(*.f64 K #s(literal 1 binary64))
✓	cost-diff	384	(fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))
✓	cost-diff	640	(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J))

Rules

5 598×	`lower-*.f32`
5 562×	`lower-*.f64`
3 822×	`lower-fma.f32`
3 810×	`lower-fma.f64`
2 236×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	345
0	88	318
1	173	318
2	425	297
3	1239	297
4	4008	295
0	8415	286

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64)))
(fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))
(/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J)))
U
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (*.f64 K #s(literal 1 binary64)))
(*.f64 K #s(literal 1 binary64))
K
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
J
(/.f64 U (*.f64 #s(literal 2 binary64) J))
(.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
#s(literal -2 binary64)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(neg.f64 U)
U
#s(literal -1 binary64)
(fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))
(*.f64 K K)
K
(.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)))
J
(fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))
#s(literal -1/192 binary64)
#s(literal 1/4 binary64)
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 K K)
K
(fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (*.f64 J #s(literal 1/4 binary64)))
(.f64 J (.f64 K K))
J
#s(literal -1/192 binary64)
(*.f64 J #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal -1/2 binary64) U) J)
(*.f64 #s(literal -1/2 binary64) U)
#s(literal -1/2 binary64)
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))
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
#s(literal 2 binary64)
U
(.f64 #s(literal -2 binary64) (.f64 J J))
#s(literal -2 binary64)
(*.f64 J J)
J
(neg.f64 U)

Outputs
(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (sqrt.f64 (fma.f64 (.f64 U #s(literal 1/2 binary64)) (/.f64 U (.f64 J (fma.f64 (cos.f64 K) J J))) #s(literal 1 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 U #s(literal 1/2 binary64)) (/.f64 U (.f64 J (fma.f64 (cos.f64 K) J J))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (.f64 U #s(literal 1/2 binary64)) (/.f64 U (.f64 J (fma.f64 (cos.f64 K) J J))) #s(literal 1 binary64)))
(fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))
(fma.f64 (.f64 U #s(literal 1/2 binary64)) (/.f64 U (.f64 J (fma.f64 (cos.f64 K) J J))) #s(literal 1 binary64))
(/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J)))
(/.f64 U (fma.f64 (cos.f64 K) J J))
U
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J))
(fma.f64 (cos.f64 K) J J)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (*.f64 K #s(literal 1 binary64)))
(cos.f64 K)
(*.f64 K #s(literal 1 binary64))
K
K
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
J
(/.f64 U (*.f64 #s(literal 2 binary64) J))
(.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
#s(literal -2 binary64)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 K #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 (neg.f64 U) #s(literal -1 binary64))
U
(neg.f64 U)
U
#s(literal -1 binary64)
(fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))
(.f64 J (fma.f64 (.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(*.f64 K K)
K
(.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)))
(.f64 J (fma.f64 K (.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64)))
J
(fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))
(fma.f64 K (*.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64))
#s(literal -1/192 binary64)
#s(literal 1/4 binary64)
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64)) #s(literal -2 binary64))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))
(.f64 J (fma.f64 (.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(*.f64 K K)
K
(fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (*.f64 J #s(literal 1/4 binary64)))
(.f64 J (fma.f64 K (.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64)))
(.f64 J (.f64 K K))
J
#s(literal -1/192 binary64)
(*.f64 J #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal -1/2 binary64) U) J)
(/.f64 (*.f64 U #s(literal -1/2 binary64)) J)
(*.f64 #s(literal -1/2 binary64) U)
(*.f64 U #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
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))
(fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J (*.f64 J #s(literal -2 binary64))) U) (neg.f64 U))
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
#s(literal 2 binary64)
U
(.f64 #s(literal -2 binary64) (.f64 J J))
(.f64 J (.f64 J #s(literal -2 binary64)))
#s(literal -2 binary64)
(*.f64 J J)
J
(neg.f64 U)

localize207.0ms (1.6%)

Memory

-22.4MiB live, 300.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓	accuracy	99.9%	(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
✓	accuracy	99.6%	(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓	accuracy	89.7%	(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))
✓	accuracy	99.9%	(fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))
✓	accuracy	99.5%	(fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (*.f64 J #s(literal 1/4 binary64)))
✓	accuracy	87.6%	(.f64 J (.f64 K K))
✓	accuracy	80.8%	(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) J)
✓	accuracy	99.9%	(fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))
✓	accuracy	99.8%	(fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))
✓	accuracy	94.5%	(.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)))
✓	accuracy	100.0%	(*.f64 (neg.f64 U) #s(literal -1 binary64))
✓	accuracy	100.0%	(neg.f64 U)
✓	accuracy	99.7%	(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J))
✓	accuracy	99.2%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64))
✓	accuracy	88.4%	(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
✓	accuracy	86.8%	(sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64)))

Samples

114.0ms

256×

valid

Compiler

Compiled 368 to 55 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 37.0ms (42.3% of total)

ival-add: 17.0ms (19.4% of total)

ival-cos: 16.0ms (18.3% of total)

ival-div: 7.0ms (8% of total)

const: 4.0ms (4.6% of total)

ival-sqrt: 2.0ms (2.3% of total)

ival-pow2: 2.0ms (2.3% of total)

exact: 1.0ms (1.1% of total)

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

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

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

series49.0ms (0.4%)

Memory

15.0MiB live, 95.0MiB allocated

Counts

21 → 456

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J)) (patch (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 K #s(literal 1 binary64)) (patch (.f64 K #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J) (patch (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 U) #s(literal -1 binary64)) (patch (.f64 (neg.f64 U) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 U) (patch (neg.f64 U) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (patch (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) #<representation binary64>) () ())
#s(alt (.f64 K K) (patch (.f64 K K) #<representation binary64>) () ())
#s(alt (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (patch (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) (patch (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/2 binary64) U) J)) (patch (.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/2 binary64) U) J)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (patch (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (patch (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (patch (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #<representation binary64>) () ())
#s(alt (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (patch (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -2 binary64) J) (patch (.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())
#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())

Outputs
#s(alt (* 2 J) (taylor 0 K) (#s(alt (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J)) (patch (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* J (pow K 2))) (* 2 J)) (taylor 0 K) (#s(alt (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J)) (patch (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J) (taylor 0 J) (#s(alt (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 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) (taylor 0 J) (#s(alt (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 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) (taylor 0 J) (#s(alt (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf J) (#s(alt (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor inf J) (#s(alt (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 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)))))))) (taylor inf J) (#s(alt (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 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))))))))) (taylor inf J) (#s(alt (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf J) (#s(alt (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor -inf J) (#s(alt (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 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)))))))) (taylor -inf J) (#s(alt (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 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))))))))) (taylor -inf J) (#s(alt (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 K) (#s(alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (pow K 2))) (taylor 0 K) (#s(alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4))) (taylor 0 K) (#s(alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4))) (taylor 0 K) (#s(alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor inf K) (#s(alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor inf K) (#s(alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor inf K) (#s(alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor inf K) (#s(alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor -inf K) (#s(alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor -inf K) (#s(alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor -inf K) (#s(alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor -inf K) (#s(alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 J) (taylor 0 J) (#s(alt (.f64 #s(literal -2 binary64) J) (patch (.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())) ())
#s(alt (* -2 J) (taylor 0 J) (#s(alt (.f64 #s(literal -2 binary64) J) (patch (.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())) ())
#s(alt (* -2 J) (taylor 0 J) (#s(alt (.f64 #s(literal -2 binary64) J) (patch (.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())) ())
#s(alt (* -2 J) (taylor 0 J) (#s(alt (.f64 #s(literal -2 binary64) J) (patch (.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())) ())
#s(alt (* -2 J) (taylor inf J) (#s(alt (.f64 #s(literal -2 binary64) J) (patch (.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())) ())
#s(alt (* -2 J) (taylor inf J) (#s(alt (.f64 #s(literal -2 binary64) J) (patch (.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())) ())
#s(alt (* -2 J) (taylor inf J) (#s(alt (.f64 #s(literal -2 binary64) J) (patch (.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())) ())
#s(alt (* -2 J) (taylor inf J) (#s(alt (.f64 #s(literal -2 binary64) J) (patch (.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())) ())
#s(alt (* -2 J) (taylor -inf J) (#s(alt (.f64 #s(literal -2 binary64) J) (patch (.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())) ())
#s(alt (* -2 J) (taylor -inf J) (#s(alt (.f64 #s(literal -2 binary64) J) (patch (.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())) ())
#s(alt (* -2 J) (taylor -inf J) (#s(alt (.f64 #s(literal -2 binary64) J) (patch (.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())) ())
#s(alt (* -2 J) (taylor -inf J) (#s(alt (.f64 #s(literal -2 binary64) J) (patch (.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor 0 J) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor 0 J) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor 0 J) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor 0 J) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor inf J) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor inf J) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor inf J) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor inf J) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor -inf J) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor -inf J) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor -inf J) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor -inf J) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor 0 K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor 0 K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor 0 K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor 0 K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor inf K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor inf K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor inf K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor inf K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor -inf K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor -inf K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor -inf K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor -inf K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())

Calls

114 calls:

Time	Variable		Point	Expression
5.0ms	U	@	-inf	(* (+ (* (* K K) (+ (* (* J (* K K)) -1/192) (* J 1/4))) (* -2 J)) (/ (* -1/2 U) J))
2.0ms	U	@	0	(* (+ (* (* K K) (+ (* (* J (* K K)) -1/192) (* J 1/4))) (* -2 J)) (/ (* -1/2 U) J))
1.0ms	J	@	-inf	(* (+ (* (* K K) (+ (* (* J (* K K)) -1/192) (* J 1/4))) (* -2 J)) (/ (* -1/2 U) J))
1.0ms	J	@	inf	(* (+ (* (* K K) (+ (* (* J (* K K)) -1/192) (* J 1/4))) (* -2 J)) (/ (* -1/2 U) J))
1.0ms	J	@	0	(* (+ (* (* K K) (+ (* (* J (* K K)) -1/192) (* J 1/4))) (* -2 J)) (/ (* -1/2 U) J))

rewrite444.0ms (3.5%)

Memory

11.1MiB live, 529.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 148×	`lower-*.f32`
6 112×	`lower-*.f64`
3 992×	`lower-/.f32`
3 984×	`lower-/.f64`
2 426×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	222
0	88	204
1	300	203
2	2028	198
0	8650	195

Stop Event

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

Counts

21 → 518

Calls

Call 1

Inputs
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J))
(fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))
(*.f64 K #s(literal 1 binary64))
(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(neg.f64 U)
(fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))
(*.f64 K K)
(.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))
(fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (*.f64 J #s(literal 1/4 binary64)))
(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))
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal -2 binary64) J)
(.f64 J (.f64 K K))

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

simplify460.0ms (3.6%)

Memory

3.0MiB live, 749.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 492×	`lower-fma.f64`
11 492×	`lower-fma.f32`
8 644×	`lower-*.f64`
8 644×	`lower-*.f32`
3 314×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	551	7666
1	1817	7473
2	6839	7280
0	8405	6742

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 431

Calls

Call 1

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

Outputs
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(+ (* -1/2 (* J (pow K 2))) (* 2 J))
(.f64 J (fma.f64 #s(literal -1/2 binary64) (.f64 K K) #s(literal 2 binary64)))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))
(fma.f64 (.f64 K K) (.f64 J (fma.f64 #s(literal 1/24 binary64) (.f64 K K) #s(literal -1/2 binary64))) (.f64 #s(literal 2 binary64) J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 J #s(literal -1/2 binary64))) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
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(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 (.f64 #s(literal 1/2 binary64) (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 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -17/2880 binary64)) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 (.f64 U U) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/96 binary64) (/.f64 (.f64 #s(literal -1/1024 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)) (.f64 (.f64 J J) (.f64 J J))))))) (.f64 J (.f64 J (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/96 binary64) (/.f64 (.f64 #s(literal -1/1024 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)) (.f64 (.f64 J J) (.f64 J J))))))) (.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 (.f64 U U) (.f64 J J)) #s(literal 1/32 binary64)))) (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) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(.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 U J) #s(literal 1/2 binary64)))
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 U (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 (*.f64 J J) U))) 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)
(/.f64 (fma.f64 J (.f64 J (.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (fma.f64 (.f64 J J) (/.f64 (fma.f64 (cos.f64 K) (/.f64 #s(literal 1/2 binary64) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) (.f64 U U))) (neg.f64 U)) (/.f64 #s(literal 1 binary64) U)))) (.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 #s(literal 1/2 binary64)))) 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)
(/.f64 (fma.f64 J (.f64 J (fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (fma.f64 (.f64 J J) (/.f64 (fma.f64 (cos.f64 K) (/.f64 #s(literal 1/2 binary64) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) (.f64 U U))) (neg.f64 U)) (/.f64 #s(literal 1 binary64) U)) (.f64 (.f64 J J) (.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 (.f64 J J) (fma.f64 (cos.f64 K) (/.f64 #s(literal 1/2 binary64) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) (.f64 U U)))) (.f64 U (.f64 U U))) #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 U #s(literal 1/2 binary64)))) J)
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 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))))))))
(fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 J J) (.f64 J J)))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J))) #s(literal 1 binary64)))
(+ 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)))))))))
(+.f64 #s(literal 1 binary64) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 J #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 J J) (.f64 J J)))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 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))))))))
(fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 J J) (.f64 J J)))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J))) #s(literal 1 binary64)))
(+ 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)))))))))
(+.f64 #s(literal 1 binary64) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J)))) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 J #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 J J) (.f64 J J)))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow K 2)))
(fma.f64 K (*.f64 K #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))
(* J (pow K 2))
(.f64 J (.f64 K K))

eval189.0ms (1.5%)

Memory: 13.1MiB live, 307.6MiB allocated
Compiler: Compiled 32 414 to 2 304 computations (92.9% saved)

prune236.0ms (1.9%)

Memory

2.0MiB live, 405.3MiB allocated

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	1 040	9	1 049
Fresh	8	16	24
Picked	5	0	5
Done	1	2	3
Total	1 054	27	1 081

Accuracy

99.9%

Counts

1 081 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.7%	(fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
	10.9%	(fma.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) (.f64 K #s(literal 1/2 binary64))))))) (*.f64 U U)) #s(literal 2 binary64)) U U)
	4.6%	(fma.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal 1 binary64) (.f64 U U)) (.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) (.f64 K #s(literal 1/2 binary64))))))) (*.f64 U U)) #s(literal 2 binary64)) U))
	31.2%	(fma.f64 (.f64 K K) (.f64 J #s(literal 1/4 binary64)) (*.f64 #s(literal -2 binary64) J))
	2.3%	(fma.f64 K (.f64 K (.f64 U (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)))) U)
	32.0%	(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal -2 binary64) J))
	34.1%	(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
✓	56.3%	(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)))))
	55.5%	(fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))
	19.3%	(/.f64 (.f64 (.f64 U #s(literal 1/2 binary64)) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))) J)
	31.5%	(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -2 binary64) (.f64 J J) (.f64 #s(literal -1/4 binary64) (*.f64 U U)))) J)
	28.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 J (.f64 #s(literal 4 binary64) J))) (/.f64 (.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (.f64 U U) #s(literal -1/4 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 J J))))))
	2.9%	(.f64 (.f64 (.f64 K K) (.f64 K K)) (*.f64 U #s(literal 1/384 binary64)))
	37.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.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)))))) #s(literal 1/2 binary64))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64)))
	37.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64)))
	52.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (/.f64 (.f64 U U) (.f64 J J))) #s(literal -1 binary64))))))
	57.7%	(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
	22.0%	(.f64 (.f64 U U) (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U))) (/.f64 #s(literal -1/4 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
	9.2%	(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
	57.6%	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
	10.8%	(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
	24.1%	(.f64 U (.f64 #s(literal 1/2 binary64) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal -2 binary64))))
	30.8%	(.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
	31.2%	(.f64 J (fma.f64 K (.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
	32.9%	(*.f64 J #s(literal -2 binary64))
	12.9%	(neg.f64 (neg.f64 U))
✓	34.9%	(neg.f64 U)

Compiler

Compiled 1 781 to 627 computations (64.8% saved)

regimes131.0ms (1%)

Memory

18.4MiB live, 246.7MiB allocated

Counts

66 → 3

Calls

Call 1

Inputs
(neg.f64 U)
(neg.f64 (neg.f64 U))
(*.f64 J #s(literal -2 binary64))
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(.f64 J (fma.f64 K (.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(.f64 (.f64 U U) (/.f64 #s(literal -1 binary64) U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(fma.f64 (.f64 K K) (.f64 J #s(literal 1/4 binary64)) (*.f64 #s(literal -2 binary64) J))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (*.f64 U #s(literal 1/384 binary64)))
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal -2 binary64) J))
(fma.f64 K (.f64 K (.f64 U (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)))) U)
(.f64 U (.f64 #s(literal 1/2 binary64) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal -2 binary64))))
(fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #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 #s(literal -2 binary64) J) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) U) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))) J)
(/.f64 (.f64 (.f64 U #s(literal 1/2 binary64)) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))) J)
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 (fma.f64 #s(literal -2 binary64) J (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)))) (sqrt.f64 (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 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 J #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J) (*.f64 #s(literal -2 binary64) J)))
(.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (neg.f64 U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(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)) J))
(.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 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -2 binary64) (.f64 J J) (.f64 #s(literal -1/4 binary64) (*.f64 U U)))) J)
(fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
(.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)))
(fma.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) (.f64 K #s(literal 1/2 binary64))))))) (*.f64 U U)) #s(literal 2 binary64)) U U)
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal 1 binary64))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(.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))))
(fma.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal 1 binary64) (.f64 U U)) (.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) (.f64 K #s(literal 1/2 binary64))))))) (*.f64 U U)) #s(literal 2 binary64)) 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))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (/.f64 (.f64 U U) (.f64 J J))) #s(literal -1 binary64))))))
(neg.f64 (.f64 (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(.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)))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(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)))))
(.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 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.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)))))) #s(literal 1/2 binary64))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64)))
(.f64 (.f64 U U) (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U))) (/.f64 #s(literal -1/4 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) (.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 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
(.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)
(.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 U (.f64 J #s(literal 2 binary64)))) (.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 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.f64 (fma.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 J (.f64 #s(literal 4 binary64) J))) (/.f64 (.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (.f64 U U) #s(literal -1/4 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 J J))))))

Outputs

(neg.f64 U)

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

(neg.f64 (neg.f64 U))

Calls

6 calls:

25.0ms	K
21.0ms	J
21.0ms	U
21.0ms	(/.f64 K #s(literal 2 binary64))
20.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
86.0%	2	`J`
75.1%	1	`K`
89.2%	2	`U`
99.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
75.1%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
75.1%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes22.0ms (0.2%)

Memory

5.1MiB live, 41.4MiB allocated

Counts

61 → 3

Calls

Call 1

Inputs
(neg.f64 U)
(neg.f64 (neg.f64 U))
(*.f64 J #s(literal -2 binary64))
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(.f64 J (fma.f64 K (.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(.f64 (.f64 U U) (/.f64 #s(literal -1 binary64) U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(fma.f64 (.f64 K K) (.f64 J #s(literal 1/4 binary64)) (*.f64 #s(literal -2 binary64) J))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (*.f64 U #s(literal 1/384 binary64)))
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal -2 binary64) J))
(fma.f64 K (.f64 K (.f64 U (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)))) U)
(.f64 U (.f64 #s(literal 1/2 binary64) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal -2 binary64))))
(fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #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 #s(literal -2 binary64) J) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) U) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))) J)
(/.f64 (.f64 (.f64 U #s(literal 1/2 binary64)) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))) J)
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 (fma.f64 #s(literal -2 binary64) J (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)))) (sqrt.f64 (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 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 J #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J) (*.f64 #s(literal -2 binary64) J)))
(.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (neg.f64 U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(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)) J))
(.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 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -2 binary64) (.f64 J J) (.f64 #s(literal -1/4 binary64) (*.f64 U U)))) J)
(fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
(.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)))
(fma.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) (.f64 K #s(literal 1/2 binary64))))))) (*.f64 U U)) #s(literal 2 binary64)) U U)
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal 1 binary64))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(.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))))
(fma.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal 1 binary64) (.f64 U U)) (.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) (.f64 K #s(literal 1/2 binary64))))))) (*.f64 U U)) #s(literal 2 binary64)) 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))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (/.f64 (.f64 U U) (.f64 J J))) #s(literal -1 binary64))))))
(neg.f64 (.f64 (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(.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)))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(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)))))
(.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 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.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)))))) #s(literal 1/2 binary64))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64)))
(.f64 (.f64 U U) (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U))) (/.f64 #s(literal -1/4 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) (.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 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
(.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)
(.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 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))))))))

Outputs

(neg.f64 U)

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

(neg.f64 (neg.f64 U))

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
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)

regimes117.0ms (0.9%)

Memory

-21.3MiB live, 129.5MiB allocated

Counts

58 → 5

Calls

Call 1

Inputs
(neg.f64 U)
(neg.f64 (neg.f64 U))
(*.f64 J #s(literal -2 binary64))
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(.f64 J (fma.f64 K (.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(.f64 (.f64 U U) (/.f64 #s(literal -1 binary64) U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(fma.f64 (.f64 K K) (.f64 J #s(literal 1/4 binary64)) (*.f64 #s(literal -2 binary64) J))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (*.f64 U #s(literal 1/384 binary64)))
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal -2 binary64) J))
(fma.f64 K (.f64 K (.f64 U (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)))) U)
(.f64 U (.f64 #s(literal 1/2 binary64) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal -2 binary64))))
(fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #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 #s(literal -2 binary64) J) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) U) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))) J)
(/.f64 (.f64 (.f64 U #s(literal 1/2 binary64)) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))) J)
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 (fma.f64 #s(literal -2 binary64) J (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)))) (sqrt.f64 (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 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 J #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J) (*.f64 #s(literal -2 binary64) J)))
(.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (neg.f64 U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(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)) J))
(.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 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -2 binary64) (.f64 J J) (.f64 #s(literal -1/4 binary64) (*.f64 U U)))) J)
(fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
(.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)))
(fma.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) (.f64 K #s(literal 1/2 binary64))))))) (*.f64 U U)) #s(literal 2 binary64)) U U)
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal 1 binary64))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(.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))))
(fma.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal 1 binary64) (.f64 U U)) (.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) (.f64 K #s(literal 1/2 binary64))))))) (*.f64 U U)) #s(literal 2 binary64)) 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))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (/.f64 (.f64 U U) (.f64 J J))) #s(literal -1 binary64))))))
(neg.f64 (.f64 (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(.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)))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(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)))))
(.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 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.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)))))) #s(literal 1/2 binary64))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64)))
(.f64 (.f64 U U) (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U))) (/.f64 #s(literal -1/4 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) (.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)))))

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

Calls

3 calls:

62.0ms

33.0ms

18.0ms

(*.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
81.5%	3	`J`
85.2%	3	`U`
89.8%	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 35 to 23 computations (34.3% saved)

regimes19.0ms (0.2%)

Memory

4.5MiB live, 42.7MiB allocated

Counts

56 → 4

Calls

Call 1

Inputs
(neg.f64 U)
(neg.f64 (neg.f64 U))
(*.f64 J #s(literal -2 binary64))
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(.f64 J (fma.f64 K (.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(.f64 (.f64 U U) (/.f64 #s(literal -1 binary64) U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(fma.f64 (.f64 K K) (.f64 J #s(literal 1/4 binary64)) (*.f64 #s(literal -2 binary64) J))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (*.f64 U #s(literal 1/384 binary64)))
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal -2 binary64) J))
(fma.f64 K (.f64 K (.f64 U (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)))) U)
(.f64 U (.f64 #s(literal 1/2 binary64) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal -2 binary64))))
(fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #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 #s(literal -2 binary64) J) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) U) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))) J)
(/.f64 (.f64 (.f64 U #s(literal 1/2 binary64)) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))) J)
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 (fma.f64 #s(literal -2 binary64) J (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)))) (sqrt.f64 (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 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 J #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J) (*.f64 #s(literal -2 binary64) J)))
(.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (neg.f64 U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(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)) J))
(.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 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -2 binary64) (.f64 J J) (.f64 #s(literal -1/4 binary64) (*.f64 U U)))) J)
(fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
(.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)))
(fma.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) (.f64 K #s(literal 1/2 binary64))))))) (*.f64 U U)) #s(literal 2 binary64)) U U)
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal 1 binary64))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(.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))))
(fma.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal 1 binary64) (.f64 U U)) (.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) (.f64 K #s(literal 1/2 binary64))))))) (*.f64 U U)) #s(literal 2 binary64)) 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))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (/.f64 (.f64 U U) (.f64 J J))) #s(literal -1 binary64))))))
(neg.f64 (.f64 (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(.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)))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(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)))))
(.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 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.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)))))) #s(literal 1/2 binary64))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64)))
(.f64 (.f64 U U) (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U))) (/.f64 #s(literal -1/4 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))

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

Calls

1 calls:

16.0ms

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

Results

Accuracy	Segments	Branch
88.0%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes32.0ms (0.3%)

Memory

-26.7MiB live, 56.1MiB allocated

Counts

41 → 3

Calls

Call 1

Inputs
(neg.f64 U)
(neg.f64 (neg.f64 U))
(*.f64 J #s(literal -2 binary64))
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(.f64 J (fma.f64 K (.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(.f64 (.f64 U U) (/.f64 #s(literal -1 binary64) U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(fma.f64 (.f64 K K) (.f64 J #s(literal 1/4 binary64)) (*.f64 #s(literal -2 binary64) J))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (*.f64 U #s(literal 1/384 binary64)))
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal -2 binary64) J))
(fma.f64 K (.f64 K (.f64 U (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)))) U)
(.f64 U (.f64 #s(literal 1/2 binary64) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal -2 binary64))))
(fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #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 #s(literal -2 binary64) J) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) U) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))) J)
(/.f64 (.f64 (.f64 U #s(literal 1/2 binary64)) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))) J)
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 (fma.f64 #s(literal -2 binary64) J (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)))) (sqrt.f64 (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 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 J #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J) (*.f64 #s(literal -2 binary64) J)))
(.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (neg.f64 U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(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)) J))
(.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 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -2 binary64) (.f64 J J) (.f64 #s(literal -1/4 binary64) (*.f64 U U)))) J)
(fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
(.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)))
(fma.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) (.f64 K #s(literal 1/2 binary64))))))) (*.f64 U U)) #s(literal 2 binary64)) U U)

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

Calls

2 calls:

17.0ms

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
74.5%	2	`U`
82.9%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes62.0ms (0.5%)

Memory

13.1MiB live, 130.2MiB allocated

Counts

33 → 5

Calls

Call 1

Inputs
(neg.f64 U)
(neg.f64 (neg.f64 U))
(*.f64 J #s(literal -2 binary64))
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(.f64 J (fma.f64 K (.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(.f64 (.f64 U U) (/.f64 #s(literal -1 binary64) U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(fma.f64 (.f64 K K) (.f64 J #s(literal 1/4 binary64)) (*.f64 #s(literal -2 binary64) J))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (*.f64 U #s(literal 1/384 binary64)))
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal -2 binary64) J))
(fma.f64 K (.f64 K (.f64 U (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)))) U)
(.f64 U (.f64 #s(literal 1/2 binary64) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal -2 binary64))))
(fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #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 #s(literal -2 binary64) J) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) U) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))) J)
(/.f64 (.f64 (.f64 U #s(literal 1/2 binary64)) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))) J)
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 (fma.f64 #s(literal -2 binary64) J (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)))) (sqrt.f64 (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 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 J #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J) (*.f64 #s(literal -2 binary64) J)))
(.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (neg.f64 U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))

Outputs
(neg.f64 U)
(.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 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))
(neg.f64 U)
(neg.f64 (neg.f64 U))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
53.8%	2	`U`
49.6%	4	`K`
56.1%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
49.6%	4	`(/.f64 K #s(literal 2 binary64))`
49.4%	2	`J`
67.9%	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)

regimes12.0ms (0.1%)

Memory

-15.1MiB live, 26.9MiB allocated

Counts

29 → 4

Calls

Call 1

Inputs
(neg.f64 U)
(neg.f64 (neg.f64 U))
(*.f64 J #s(literal -2 binary64))
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(.f64 J (fma.f64 K (.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(.f64 (.f64 U U) (/.f64 #s(literal -1 binary64) U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(fma.f64 (.f64 K K) (.f64 J #s(literal 1/4 binary64)) (*.f64 #s(literal -2 binary64) J))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (*.f64 U #s(literal 1/384 binary64)))
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal -2 binary64) J))
(fma.f64 K (.f64 K (.f64 U (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)))) U)
(.f64 U (.f64 #s(literal 1/2 binary64) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal -2 binary64))))
(fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #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 #s(literal -2 binary64) J) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) U) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))) J)
(/.f64 (.f64 (.f64 U #s(literal 1/2 binary64)) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J))) J)
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64))) (.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 (fma.f64 #s(literal -2 binary64) J (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)))) (sqrt.f64 (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 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 J #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J) (*.f64 #s(literal -2 binary64) J)))

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
65.6%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes8.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Counts

21 → 3

Calls

Call 1

Inputs
(neg.f64 U)
(neg.f64 (neg.f64 U))
(*.f64 J #s(literal -2 binary64))
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(.f64 J (fma.f64 K (.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(.f64 (.f64 U U) (/.f64 #s(literal -1 binary64) U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(fma.f64 (.f64 K K) (.f64 J #s(literal 1/4 binary64)) (*.f64 #s(literal -2 binary64) J))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (*.f64 U #s(literal 1/384 binary64)))
(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal -2 binary64) J))
(fma.f64 K (.f64 K (.f64 U (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)))) U)
(.f64 U (.f64 #s(literal 1/2 binary64) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal -2 binary64))))
(fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 #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 #s(literal -2 binary64) J) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
61.6%	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)

regimes40.0ms (0.3%)

Memory

-19.7MiB live, 19.8MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
(neg.f64 U)
(neg.f64 (neg.f64 U))

Outputs
(neg.f64 U)
(neg.f64 (neg.f64 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)))))
2.0ms	K
2.0ms	(/.f64 K #s(literal 2 binary64))
2.0ms	J
1.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
38.5%	3	`K`
38.5%	3	`(/.f64 K #s(literal 2 binary64))`
34.9%	1	`J`
34.9%	1	`U`
46.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
46.2%	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 52 to 37 computations (28.8% saved)

regimes7.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 U)

Outputs
(neg.f64 U)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
34.9%	1	`J`
34.9%	1	`K`
34.9%	1	`(/.f64 K #s(literal 2 binary64))`
34.9%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
34.9%	1	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 48 to 34 computations (29.2% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.837346777501465e+307	+inf
0.0ms	-inf	-1.5815045631677613e+307

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.837346777501465e+307	+inf
0.0ms	-inf	-1.5815045631677613e+307

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.837346777501465e+307	+inf
0.0ms	-2.669991513806478e-119	-1.6904327518954285e-134
0.0ms	-7.667387252524217e+158	-8.530812517471286e+144
0.0ms	-inf	-1.5815045631677613e+307

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.837346777501465e+307	+inf
0.0ms	-2.669991513806478e-119	-1.6904327518954285e-134
0.0ms	-inf	-1.5815045631677613e+307

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.837346777501465e+307	+inf
0.0ms	-inf	-1.5815045631677613e+307

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	-3.390800700389872e-292	6.203603753655169e-247
0.0ms	-1.614150172508374e-155	-8.798048293166754e-159
0.0ms	-5.792578442015093e+161	-7.667387252524217e+158
0.0ms	-inf	-1.5815045631677613e+307

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-3.390800700389872e-292	6.203603753655169e-247
0.0ms	-1.614150172508374e-155	-8.798048293166754e-159
0.0ms	-inf	-1.5815045631677613e+307

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-3.390800700389872e-292	6.203603753655169e-247
0.0ms	-inf	-1.5815045631677613e+307

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.390800700389872e-292	6.203603753655169e-247

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify89.0ms (0.7%)

Memory

0.9MiB live, 78.8MiB allocated

Algorithm

1×	egg-herbie

Rules

620×	`distribute-lft-neg-in_binary64`
330×	`cancel-sign-sub_binary64`
314×	`neg-mul-1_binary64`
290×	`neg-sub0_binary64`
242×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	856
1	154	856
2	181	856
3	240	856
4	359	856
5	502	856
6	616	856
7	762	856
8	972	856
9	1164	856
10	1356	856
11	1504	856
12	1674	856
13	1738	856
14	1781	856
15	1813	856
16	1835	856
17	1854	856
18	1856	856
19	1856	856

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 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 U))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (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 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J) (neg.f64 (neg.f64 U))))
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(neg.f64 U)

Outputs
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(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 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 (pow.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal -4830671903771573/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal -2247116418577895/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) (neg.f64 U) U)))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (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 -2247116418577895/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) (*.f64 J #s(literal -2 binary64)) (neg.f64 (neg.f64 U))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 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 (pow.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal -2247116418577895/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) (*.f64 #s(literal -2 binary64) J) U))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -2247116418577895/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) (neg.f64 U) (neg.f64 (neg.f64 U)))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal -2247116418577895/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) (neg.f64 U) U)
(neg.f64 U)

soundness1.6s (13%)

Memory

39.0MiB live, 1 435.8MiB allocated

Rules

19 354×	`lower-fma.f64`
19 354×	`lower-fma.f32`
12 738×	`lower-fma.f64`
12 738×	`lower-fma.f32`
11 492×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	66
0	28	66
1	79	66
2	432	66
3	4364	66
0	8129	66
0	360	3717
1	1153	3609
2	4514	3477
0	8499	3319
0	52	284
0	97	284
1	342	257
2	2455	251
0	8940	245
0	46	222
0	88	204
1	300	203
2	2028	198
0	8650	195
0	737	10911
1	2414	10582
0	8364	9997
0	551	7666
1	1817	7473
2	6839	7280
0	8405	6742
0	50	309
0	94	283
1	299	259
2	1795	252
0	8549	252
0	871	12490
1	2877	12219
2	7914	12214
0	8177	11514

Stop Event

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

Compiler

Compiled 1 569 to 618 computations (60.6% saved)

preprocess202.0ms (1.6%)

Memory

-20.0MiB live, 260.9MiB allocated

Remove

(negabs J)

(abs K)

Compiler

Compiled 2 444 to 516 computations (78.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze281.0ms (2.2%)

sample2.1s (16.3%)

preprocess115.0ms (0.9%)

explain235.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify52.0ms (0.4%)

localize69.0ms (0.5%)

series42.0ms (0.3%)

rewrite256.0ms (2%)

simplify612.0ms (4.8%)

eval144.0ms (1.1%)

prune122.0ms (1%)

simplify180.0ms (1.4%)

localize371.0ms (2.9%)

series139.0ms (1.1%)

rewrite477.0ms (3.8%)

simplify483.0ms (3.8%)

eval234.0ms (1.9%)

prune290.0ms (2.3%)

simplify201.0ms (1.6%)

localize242.0ms (1.9%)

series78.0ms (0.6%)

rewrite390.0ms (3.1%)

simplify562.0ms (4.5%)

eval427.0ms (3.4%)

prune380.0ms (3%)

simplify206.0ms (1.6%)

localize207.0ms (1.6%)

series49.0ms (0.4%)

rewrite444.0ms (3.5%)

simplify460.0ms (3.6%)

eval189.0ms (1.5%)

prune236.0ms (1.9%)

regimes131.0ms (1%)

regimes22.0ms (0.2%)

regimes117.0ms (0.9%)

regimes19.0ms (0.2%)

regimes32.0ms (0.3%)

regimes62.0ms (0.5%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes40.0ms (0.3%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify89.0ms (0.7%)

soundness1.6s (13%)

preprocess202.0ms (1.6%)

end0.0ms (0%)

Profiling