Metrics for Maksimov and Kolovsky, Equation (3)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze332.0ms (3.4%)

Memory

10.8MiB live, 471.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.8s (18.8%)

Memory

-176.8MiB live, 2 052.2MiB allocated

Samples

1.5s

8 256×

valid

Precisions

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

ival-sqrt: 377.0ms (31.2% of total)

ival-mult: 257.0ms (21.3% of total)

ival-cos: 182.0ms (15.1% of total)

ival-pow2: 180.0ms (14.9% of total)

ival-div: 131.0ms (10.8% of total)

ival-add: 59.0ms (4.9% of total)

exact: 12.0ms (1% of total)

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

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

Bogosity

explain220.0ms (2.2%)

Memory

27.4MiB live, 298.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
40	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)))))`
38	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))))`
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	134	(-9.028976947799599e-94 2.8553811106525594e+208 -2.5069846799656193e+185)	-	`(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	134	0
`*.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**	40	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	38	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	40
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	40
↳	`(+.f64 #s(literal 1 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	78
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	78

Confusion

	Predicted +	Predicted -
+	78	0
-	96	82

Precision

0.4482758620689655

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	78	0	0
-	96	0	82

Precision?

0.4482758620689655

Recall?

1.0

Freqs

test

number	freq
0	82
1	136
2	38

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

69.0ms

512×

valid

Compiler

Compiled 248 to 55 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 14.0ms (30.8% of total)

ival-cos: 11.0ms (24.2% of total)

ival-div: 8.0ms (17.6% of total)

ival-pow2: 5.0ms (11% of total)

ival-sqrt: 3.0ms (6.6% 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)

preprocess90.0ms (0.9%)

Memory

1.9MiB live, 42.7MiB 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) J)

Symmetry

(abs U)

(abs K)

(negabs J)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.0%	(.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)))))

Status

Accuracy

Program

▶

71.0%

(*.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)))))

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify43.0ms (0.4%)

Memory

-12.0MiB live, 24.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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

localize50.0ms (0.5%)

Memory

17.9MiB live, 85.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.16015625	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	8.876421416589954	(sqrt.f64 (+.f64 #s(literal 1 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	9.432234818387519	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Samples

36.0ms

256×

valid

Compiler

Compiled 112 to 19 computations (83% saved)

Precisions

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

ival-mult: 7.0ms (33.3% of total)

ival-cos: 5.0ms (23.8% of total)

ival-div: 3.0ms (14.3% of total)

ival-sqrt: 2.0ms (9.5% of total)

ival-pow2: 2.0ms (9.5% of total)

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

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

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

exact: 0.0ms (0% of total)

series52.0ms (0.5%)

Memory

-13.9MiB live, 73.4MiB 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 (* -2 (* J (cos (* 1/2 K)))) (taylor 0 U) (#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 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) (taylor 0 U) (#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 (* 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)))))))) (taylor 0 U) (#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 (* 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)))))))) (taylor 0 U) (#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 (* 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 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 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 (* 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 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 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 (* 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 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 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 (* -2 (* J (cos (* 1/2 K)))) (taylor inf J) (#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 (* -2 (* J (cos (* 1/2 K)))) (taylor inf J) (#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>) () ())) ())
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#s(alt (* -2 J) (taylor inf J) (#s(alt (.f64 #s(literal -2 binary64) J) (patch (.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) (taylor inf J) (#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 (+ (* -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)))))) (taylor inf J) (#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 (+ (* -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))))))) (taylor inf J) (#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 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 (* -2 (* J (cos (* 1/2 K)))) (taylor -inf 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 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) (taylor -inf 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 (* 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))))))) (taylor -inf 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 (* 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)))))))) (taylor -inf 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 (* J (cos (* 1/2 K)))) (taylor -inf J) (#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 (* -2 (* J (cos (* 1/2 K)))) (taylor -inf J) (#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 (* -2 (* J (cos (* 1/2 K)))) (taylor -inf J) (#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 (* -2 (* J (cos (* 1/2 K)))) (taylor -inf J) (#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 (* -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>) () ())) ())
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#s(alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) (taylor -inf J) (#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 (+ (* -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)))))) (taylor -inf J) (#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 (+ (* -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))))))) (taylor -inf J) (#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 -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>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	U	@	-inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
6.0ms	J	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
6.0ms	K	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
5.0ms	J	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
4.0ms	U	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))

simplify224.0ms (2.3%)

Memory

-4.3MiB live, 235.0MiB 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	4535	3477
0	8519	3319

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 155

Calls

Call 1

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

rewrite163.0ms (1.7%)

Memory

-5.2MiB live, 155.4MiB allocated

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

eval80.0ms (0.8%)

Memory: 4.0MiB live, 120.0MiB allocated
Compiler: Compiled 15 133 to 1 816 computations (88% saved)

prune18.0ms (0.2%)

Memory

-2.6MiB live, 36.8MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	467	12	479
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	468	12	480

Accuracy

99.9%

Counts

480 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.0%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) 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)))))
	67.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) J))))))
	67.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U)))))
	12.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
	60.0%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
▶	37.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)))
	47.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
▶	16.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
	40.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
	42.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
▶	49.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
▶	39.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Compiler

Compiled 470 to 388 computations (17.4% saved)

simplify115.0ms (1.2%)

Memory

-1.0MiB live, 121.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

5 242×	`lower-*.f32`
5 214×	`lower-*.f64`
4 226×	`lower-/.f32`
4 218×	`lower-/.f64`
3 606×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	428
0	82	428
1	137	428
2	297	428
3	761	428
4	2410	428
5	6919	428
0	8349	426

Stop Event

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

Calls

Call 1

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

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

localize172.0ms (1.8%)

Memory

-35.9MiB live, 237.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.23113251953688402	(*.f64 (/.f64 J U) (/.f64 J U))
accuracy	0.24285126953688405	(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
accuracy	4.271306192556635	(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))
accuracy	53.43217241822457	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
accuracy	0.13671875	(/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U)
accuracy	0.24285126953688405	(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
accuracy	7.630887716633181	(fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))
accuracy	37.99245360229038	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)))
accuracy	0	(*.f64 J #s(literal -2 binary64))
accuracy	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
accuracy	0.0859375	(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
accuracy	32.610520281819106	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
accuracy	0	(neg.f64 U)
accuracy	38.601114921454645	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
accuracy	0.0859375	(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)
accuracy	0.16015625	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	8.876421416589954	(sqrt.f64 (+.f64 #s(literal 1 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	9.432234818387519	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) 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)))))

Samples

105.0ms

256×

valid

Compiler

Compiled 383 to 44 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 32.0ms (39.2% of total)

ival-div: 19.0ms (23.2% of total)

ival-cos: 16.0ms (19.6% of total)

ival-pow2: 6.0ms (7.3% of total)

ival-sqrt: 4.0ms (4.9% of total)

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

exact: 1.0ms (1.2% of total)

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

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

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

series135.0ms (1.4%)

Memory

31.2MiB live, 143.9MiB allocated

Counts

23 → 600

Calls

Call 1

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

Outputs
#s(alt (* -2 (* J (cos (* -1/2 K)))) (taylor 0 U) (#s(alt (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) 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))))) (patch (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) 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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2))))) (taylor 0 U) (#s(alt (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) 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))))) (patch (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) 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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4))))))) (taylor 0 U) (#s(alt (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) 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))))) (patch (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) 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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4))))))))) (taylor 0 U) (#s(alt (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) 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))))) (patch (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) 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))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor 0 U) (#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) (taylor -inf J) (#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))) (taylor -inf J) (#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))) (taylor -inf J) (#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (taylor -inf J) (#s(alt (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2)))) (taylor -inf J) (#s(alt (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2)))) (taylor -inf J) (#s(alt (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2)))) (taylor -inf J) (#s(alt (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) (taylor -inf J) (#s(alt (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) (patch (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) (taylor -inf J) (#s(alt (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) (patch (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) (taylor -inf J) (#s(alt (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) (patch (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) (taylor -inf J) (#s(alt (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) (patch (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf J) (#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 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) (taylor -inf J) (#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 (+ (* -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)))))) (taylor -inf J) (#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 (+ (* -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))))))) (taylor -inf J) (#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 -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 (/ (pow J 2) (pow U 2)) (taylor -inf J) (#s(alt (.f64 (/.f64 J U) (/.f64 J U)) (patch (.f64 (/.f64 J U) (/.f64 J U)) #<representation binary64>) () ())) ())
#s(alt (/ (pow J 2) (pow U 2)) (taylor -inf J) (#s(alt (.f64 (/.f64 J U) (/.f64 J U)) (patch (.f64 (/.f64 J U) (/.f64 J U)) #<representation binary64>) () ())) ())
#s(alt (/ (pow J 2) (pow U 2)) (taylor -inf J) (#s(alt (.f64 (/.f64 J U) (/.f64 J U)) (patch (.f64 (/.f64 J U) (/.f64 J U)) #<representation binary64>) () ())) ())
#s(alt (/ (pow J 2) (pow U 2)) (taylor -inf J) (#s(alt (.f64 (/.f64 J U) (/.f64 J U)) (patch (.f64 (/.f64 J U) (/.f64 J U)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	J	@	inf	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (cos (* K 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (cos (* K 1/2)) 2) (/ (pow (cos (* K 1/2)) 2) U) (* (/ J U) (/ J U)))
10.0ms	K	@	-inf	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (cos (* K 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (cos (* K 1/2)) 2) (/ (pow (cos (* K 1/2)) 2) U) (* (/ J U) (/ J U)))
6.0ms	K	@	inf	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (cos (* K 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (cos (* K 1/2)) 2) (/ (pow (cos (* K 1/2)) 2) U) (* (/ J U) (/ J U)))
5.0ms	J	@	0	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (cos (* K 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (cos (* K 1/2)) 2) (/ (pow (cos (* K 1/2)) 2) U) (* (/ J U) (/ J U)))
5.0ms	J	@	-inf	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (cos (* K 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (cos (* K 1/2)) 2) (/ (pow (cos (* K 1/2)) 2) U) (* (/ J U) (/ J U)))

simplify299.0ms (3%)

Memory

20.0MiB live, 321.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 186×	`lower-fma.f64`
11 186×	`lower-fma.f32`
8 156×	`lower-*.f64`
8 156×	`lower-*.f32`
3 410×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	616	13788
1	2016	13503
2	7643	13495
0	8072	12875

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 592

Calls

Call 1

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

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

rewrite305.0ms (3.1%)

Memory

-23.9MiB live, 303.8MiB allocated

Rules

8 618×	`lower-fma.f32`
8 614×	`lower-fma.f64`
6 014×	`lower-*.f32`
5 986×	`lower-*.f64`
3 026×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	328
0	82	318
1	220	310
2	1177	306
0	9327	304

Stop Event

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

Counts

23 → 729

Calls

Call 1

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

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

eval457.0ms (4.7%)

Memory: 27.6MiB live, 440.7MiB allocated
Compiler: Compiled 40 016 to 4 025 computations (89.9% saved)

prune132.0ms (1.3%)

Memory

31.9MiB live, 186.4MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	1 444	13	1 457
Fresh	4	3	7
Picked	3	2	5
Done	0	0	0
Total	1 451	18	1 469

Accuracy

100.0%

Counts

1 469 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.9%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)))))
	67.6%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J))))))
	51.8%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	60.0%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
	40.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)))
▶	16.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (neg.f64 U) (.f64 (/.f64 J U) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (.f64 (/.f64 J U) #s(literal -2 binary64)) U))
	47.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
	21.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (neg.f64 U) U))))
	16.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 #s(approx ( (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
▶	37.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
	37.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64))))
	42.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
✓	49.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
▶	25.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))))
	16.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
✓	39.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	25.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
▶	27.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64))))

Compiler

Compiled 540 to 461 computations (14.6% saved)

simplify143.0ms (1.5%)

Memory

-10.0MiB live, 147.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
cost-diff	8320	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
cost-diff	0	(fma.f64 (.f64 (neg.f64 U) (.f64 (/.f64 J U) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (.f64 (/.f64 J U) #s(literal -2 binary64)) U)
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (neg.f64 U) (.f64 (/.f64 J U) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (.f64 (/.f64 J U) #s(literal -2 binary64)) U))
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
cost-diff	1152	(.f64 (neg.f64 U) (.f64 (/.f64 J U) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))
cost-diff	0	#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))
cost-diff	0	(*.f64 J #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))))
cost-diff	0	(*.f64 J #s(literal -2 binary64))
cost-diff	0	#s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64))))
cost-diff	0	(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
cost-diff	0	(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)
cost-diff	0	(.f64 (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)))))

Rules

5 444×	`lower-*.f32`
5 410×	`lower-*.f64`
4 426×	`lower-fma.f32`
4 420×	`lower-fma.f64`
1 534×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	480
0	96	473
1	180	466
2	440	463
3	1665	463
4	5057	451
0	8144	446

Stop Event

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

Calls

Call 1

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

Outputs
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 J U) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)
(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)
K
#s(literal -1/2 binary64)
J
#s(literal -2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 J U) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)))
(+.f64 (pow.f64 (.f64 (.f64 (/.f64 J U) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))
(pow.f64 (.f64 (.f64 (/.f64 J U) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U))
(.f64 (.f64 (/.f64 J U) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
(/.f64 (*.f64 #s(literal 2 binary64) J) U)
(*.f64 (/.f64 J U) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
U
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
J
#s(literal -2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))))
(.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
J
#s(literal -2 binary64)
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
(fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))
#s(literal 1/384 binary64)
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (neg.f64 U) (.f64 (/.f64 J U) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (.f64 (/.f64 J U) #s(literal -2 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(literal 2 binary64) U) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) U))
(fma.f64 (.f64 (neg.f64 U) (.f64 (/.f64 J U) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (.f64 (/.f64 J U) #s(literal -2 binary64)) U)
(fma.f64 (/.f64 #s(literal 2 binary64) U) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) U)
(.f64 (neg.f64 U) (.f64 (/.f64 J U) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))
(*.f64 (fma.f64 (cos.f64 K) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) J)
(neg.f64 U)
U
(.f64 (/.f64 J U) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(*.f64 (/.f64 #s(literal 1/2 binary64) U) (fma.f64 (cos.f64 K) J J))
(/.f64 J U)
J
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(*.f64 (cos.f64 K) #s(literal 1/2 binary64))
(cos.f64 K)
K
(*.f64 (/.f64 J U) #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (*.f64 #s(literal -2 binary64) J))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
K

localize205.0ms (2.1%)

Memory

-40.7MiB live, 301.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.03125	(sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
accuracy	0.04296875	(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
accuracy	0.1171875	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
accuracy	23.381330021398288	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
accuracy	0.0703125	(fma.f64 (.f64 (neg.f64 U) (.f64 (/.f64 J U) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (.f64 (/.f64 J U) #s(literal -2 binary64)) U)
accuracy	0.16408644333160763	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
accuracy	11.681474411345402	(.f64 (neg.f64 U) (.f64 (/.f64 J U) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))
accuracy	46.69903171169382	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (neg.f64 U) (.f64 (/.f64 J U) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (.f64 (/.f64 J U) #s(literal -2 binary64)) U))
accuracy	0.0390625	(.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))))
accuracy	0.04296875	(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
accuracy	16.154763654073026	#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))
accuracy	23.381330021398288	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))))
accuracy	0	(*.f64 J #s(literal -2 binary64))
accuracy	13.403041877876944	#s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))
accuracy	23.381330021398288	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64))))
accuracy	0.05859375	(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U))
accuracy	0.171875	(pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))
accuracy	6.7573098819058135	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))))
accuracy	6.837611256699179	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)))))

Samples

133.0ms	189×	0	valid
34.0ms	67×	0	invalid

Compiler

Compiled 387 to 57 computations (85.3% saved)

Precisions

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

ival-add: 38.0ms (26.8% of total)

ival-cos: 38.0ms (26.8% of total)

ival-mult: 37.0ms (26.1% of total)

ival-div: 11.0ms (7.8% of total)

ival-sqrt: 6.0ms (4.2% of total)

const: 4.0ms (2.8% of total)

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

ival-pow2: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series84.0ms (0.9%)

Memory

33.5MiB live, 152.8MiB allocated

Counts

23 → 588

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))))) (patch (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (patch (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) (patch (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #<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 #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (.f64 J #s(literal -2 binary64)))) (patch #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* J -2) (cos (* K 1/2))) (.f64 J #s(literal -2 binary64))) (patch #s(approx ( (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 J #s(literal -2 binary64)) (patch (.f64 J #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) (patch (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (patch #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 U) (.f64 (/.f64 J U) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (patch (.f64 (neg.f64 U) (.f64 (/.f64 J U) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (patch (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (neg.f64 U) (.f64 (/.f64 J U) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (.f64 (/.f64 J U) #s(literal -2 binary64)) U)) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (neg.f64 U) (.f64 (/.f64 J U) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (.f64 (/.f64 J U) #s(literal -2 binary64)) U)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (neg.f64 U) (.f64 (/.f64 J U) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (.f64 (/.f64 J U) #s(literal -2 binary64)) U) (patch (fma.f64 (.f64 (neg.f64 U) (.f64 (/.f64 J U) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (.f64 (/.f64 J U) #s(literal -2 binary64)) U) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) (patch #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -2 binary64) J) (patch (.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)) (patch (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) (patch (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (patch (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (patch (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #<representation binary64>) () ())

Outputs
#s(alt (* -2 (* J (cos (* -1/2 K)))) (taylor 0 U) (#s(alt (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))))) (patch (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K)))))) (taylor 0 U) (#s(alt (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))))) (patch (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* -1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* -1/2 K)))))))) (taylor 0 U) (#s(alt (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))))) (patch (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* -1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* -1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* -1/2 K)))))))) (taylor 0 U) (#s(alt (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))))) (patch (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor 0 U) (#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (.f64 J #s(literal -2 binary64)))) (patch #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (.f64 J #s(literal -2 binary64)))) (patch #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) (taylor 0 U) (#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (.f64 J #s(literal -2 binary64)))) (patch #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))) (taylor -inf J) (#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))) (taylor -inf J) (#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))) (taylor -inf J) (#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #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 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)) (patch (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #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 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)) (patch (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #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 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)) (patch (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #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 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)) (patch (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* J (cos (* -1/2 K))) U)) (taylor -inf J) (#s(alt (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) (patch (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* J (cos (* -1/2 K))) U)) (taylor -inf J) (#s(alt (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) (patch (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* J (cos (* -1/2 K))) U)) (taylor -inf J) (#s(alt (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) (patch (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* J (cos (* -1/2 K))) U)) (taylor -inf J) (#s(alt (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) (patch (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	J	@	0	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (cos (* K 1/2)) (* (neg U) (* (/ J U) (+ 1/2 (* 1/2 (cos K))))) (+ 1/2 (* 1/2 (cos K))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (neg U) (* (/ J U) (+ 1/2 (* 1/2 (cos K))))) (* (/ J U) -2)) U) (* (* (* -2 J) (sqrt (cos (* -1/2 K)))) (sqrt (cos (* -1/2 K)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (cos (* -1/2 K)))) (* -2 J) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2))) (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2) (* (cos (* -1/2 K)) (/ (* 2 J) U)) (+ (* 1/384 (* K K)) -1/8) (sqrt (cos (* -1/2 K))))
6.0ms	K	@	inf	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (cos (* K 1/2)) (* (neg U) (* (/ J U) (+ 1/2 (* 1/2 (cos K))))) (+ 1/2 (* 1/2 (cos K))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (neg U) (* (/ J U) (+ 1/2 (* 1/2 (cos K))))) (* (/ J U) -2)) U) (* (* (* -2 J) (sqrt (cos (* -1/2 K)))) (sqrt (cos (* -1/2 K)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (cos (* -1/2 K)))) (* -2 J) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2))) (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2) (* (cos (* -1/2 K)) (/ (* 2 J) U)) (+ (* 1/384 (* K K)) -1/8) (sqrt (cos (* -1/2 K))))
6.0ms	J	@	inf	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (cos (* K 1/2)) (* (neg U) (* (/ J U) (+ 1/2 (* 1/2 (cos K))))) (+ 1/2 (* 1/2 (cos K))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (neg U) (* (/ J U) (+ 1/2 (* 1/2 (cos K))))) (* (/ J U) -2)) U) (* (* (* -2 J) (sqrt (cos (* -1/2 K)))) (sqrt (cos (* -1/2 K)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (cos (* -1/2 K)))) (* -2 J) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2))) (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2) (* (cos (* -1/2 K)) (/ (* 2 J) U)) (+ (* 1/384 (* K K)) -1/8) (sqrt (cos (* -1/2 K))))
6.0ms	K	@	-inf	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (cos (* K 1/2)) (* (neg U) (* (/ J U) (+ 1/2 (* 1/2 (cos K))))) (+ 1/2 (* 1/2 (cos K))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (neg U) (* (/ J U) (+ 1/2 (* 1/2 (cos K))))) (* (/ J U) -2)) U) (* (* (* -2 J) (sqrt (cos (* -1/2 K)))) (sqrt (cos (* -1/2 K)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (cos (* -1/2 K)))) (* -2 J) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2))) (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2) (* (cos (* -1/2 K)) (/ (* 2 J) U)) (+ (* 1/384 (* K K)) -1/8) (sqrt (cos (* -1/2 K))))
6.0ms	U	@	0	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (cos (* K 1/2)) (* (neg U) (* (/ J U) (+ 1/2 (* 1/2 (cos K))))) (+ 1/2 (* 1/2 (cos K))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (neg U) (* (/ J U) (+ 1/2 (* 1/2 (cos K))))) (* (/ J U) -2)) U) (* (* (* -2 J) (sqrt (cos (* -1/2 K)))) (sqrt (cos (* -1/2 K)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (cos (* -1/2 K)))) (* -2 J) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2))) (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2) (* (cos (* -1/2 K)) (/ (* 2 J) U)) (+ (* 1/384 (* K K)) -1/8) (sqrt (cos (* -1/2 K))))

simplify219.0ms (2.2%)

Memory

-22.4MiB live, 367.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 038×	`lower-fma.f64`
11 038×	`lower-fma.f32`
7 988×	`lower-*.f64`
7 988×	`lower-*.f32`
3 324×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	618	12685
1	1927	12414
2	7027	12378
0	8052	11733

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 579

Calls

Call 1

Inputs
(* -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))))))))
(* -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))))))))
(* -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 (* J (+ 1/2 (* 1/2 (cos K)))))
(* -1 (* J (+ 1/2 (* 1/2 (cos K)))))
(* -1 (* J (+ 1/2 (* 1/2 (cos K)))))
(* -1 (* J (+ 1/2 (* 1/2 (cos K)))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(/ (+ (* 2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (pow U 2)) U)
(/ (+ (* 2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (pow U 2)) U)
(/ (+ (* 2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (pow U 2)) U)
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (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
(+ 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)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* 2 (/ (* J (cos (* -1/2 K))) 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))) (* 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))
(* -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))
(* -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))
(* -1 (* J (+ 1/2 (* 1/2 (cos K)))))
(* -1 (* J (+ 1/2 (* 1/2 (cos K)))))
(* -1 (* J (+ 1/2 (* 1/2 (cos K)))))
(* -1 (* J (+ 1/2 (* 1/2 (cos 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
(* U (+ 1 (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))))
(* U (+ 1 (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))))
(* U (+ 1 (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))))
(* -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))
(* 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))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* 2 (/ (* J (cos (* -1/2 K))) U))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1)))
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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)))
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)))
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U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
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U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)))
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U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
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(* -2 J)
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J
(+ J (* -1/8 (* J (pow K 2))))
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(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
1
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(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
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(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow 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)))))))))))))
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(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
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(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
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(* -1 J)
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1
(+ 1 (* -1/4 (pow K 2)))
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(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
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(* -2 J)
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -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 (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))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ 1/2 (* 1/2 (cos K)))))
(* -1 (* J (+ 1/2 (* 1/2 (cos K)))))
(* -1 (* J (+ 1/2 (* 1/2 (cos K)))))
(* -1 (* J (+ 1/2 (* 1/2 (cos K)))))
(* -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 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* (pow J 2) (+ (* 2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (/ U (pow J 2))))
(* (pow J 2) (+ (* 2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (/ U (pow J 2))))
(* (pow J 2) (+ (* 2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (/ U (pow J 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))))
(* 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 (sqrt (cos (* -1/2 K)))))
(* -2 (* J (sqrt (cos (* -1/2 K)))))
(* -2 (* J (sqrt (cos (* -1/2 K)))))
(* -2 (* J (sqrt (cos (* -1/2 K)))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 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)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* -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 (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)))
(* -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 (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 (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 (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ 1/2 (* 1/2 (cos K)))))
(* -1 (* J (+ 1/2 (* 1/2 (cos K)))))
(* -1 (* J (+ 1/2 (* 1/2 (cos K)))))
(* -1 (* J (+ 1/2 (* 1/2 (cos K)))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (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 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* (pow J 2) (+ (* 2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (/ U (pow J 2))))
(* (pow J 2) (+ (* 2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (/ U (pow J 2))))
(* (pow J 2) (+ (* 2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (/ U (pow J 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))))
(* -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 (cos (* -1/2 K)))))
(* -2 (* J (sqrt (cos (* -1/2 K)))))
(* -2 (* J (sqrt (cos (* -1/2 K)))))
(* -2 (* J (sqrt (cos (* -1/2 K)))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 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)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* 2 (/ (* J (cos (* -1/2 K))) U))

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

rewrite212.0ms (2.2%)

Memory

9.9MiB live, 340.0MiB allocated

Rules

4 286×	`lower-fma.f32`
4 280×	`lower-fma.f64`
3 852×	`lower-*.f32`
3 818×	`lower-*.f64`
3 728×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	374
0	96	367
1	297	360
2	1806	360
0	8559	350

Stop Event

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

Counts

23 → 547

Calls

Call 1

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

Outputs
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -2 binary64))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal -2 binary64) J))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal -2 binary64) J) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))))
(.f64 #s(literal -2 binary64) (.f64 J (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 #s(literal -2 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 J (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 J (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))))
(.f64 (.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J))
(.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) J))
(.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J)
(.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) J)))
(.f64 (.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (sqrt.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)))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (.f64 #s(literal 2 binary64) J) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 #s(literal 2 binary64) (neg.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))
(.f64 #s(literal -2 binary64) (.f64 (.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 #s(literal -2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))
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(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (neg.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))
(/.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J)))) (exp.f64 (log.f64 U)))
(/.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 U J))
(/.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (neg.f64 (.f64 (/.f64 U J) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (neg.f64 (neg.f64 U)))
(/.f64 (neg.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (/.f64 U J) #s(literal 1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (neg.f64 U))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) J)) (.f64 U #s(literal 1 binary64)))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J)) U)
(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (/.f64 U J) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U J) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U J) #s(literal 1/2 binary64)) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (/.f64 U J) #s(literal 1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U J) #s(literal 1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 U)) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J)) (neg.f64 U)))
(exp.f64 (log.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U))))
(.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/56623104 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal -1/512 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 K K) #s(literal -1/3072 binary64)))))))
(.f64 (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64) #s(literal -1/64 binary64)) (pow.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/56623104 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64)) (.f64 (.f64 K K) #s(literal -1/3072 binary64))))))
(.f64 (fma.f64 #s(literal 1/56623104 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal -1/512 binary64)) (pow.f64 (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 K K) #s(literal -1/3072 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64))) (/.f64 (.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64))) (.f64 (/.f64 (.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64)))) (neg.f64 (-.f64 #s(literal -1/8 binary64) (.f64 (*.f64 K K) #s(literal 1/384 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64) #s(literal -1/64 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/56623104 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal -1/512 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) #s(literal -1/3072 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64))) (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))) (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64))) (-.f64 #s(literal -1/8 binary64) (.f64 (*.f64 K K) #s(literal 1/384 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/56623104 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal -1/512 binary64))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64)) (.f64 (*.f64 K K) #s(literal -1/3072 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/56623104 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal -1/512 binary64))) (neg.f64 (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) #s(literal -1/3072 binary64))))))
(/.f64 (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64) #s(literal -1/64 binary64)) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)))))
(/.f64 (fma.f64 #s(literal 1/56623104 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal -1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64)) (.f64 (*.f64 K K) #s(literal -1/3072 binary64)))))
(/.f64 (fma.f64 #s(literal 1/56623104 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal -1/512 binary64)) (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) #s(literal -1/3072 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64))) (-.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64)) (.f64 (*.f64 K K) #s(literal -1/3072 binary64)))) (fma.f64 #s(literal 1/56623104 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal -1/512 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))))
(fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64))
(fma.f64 (.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64)) (pow.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
(fma.f64 K (*.f64 #s(literal 1/384 binary64) K) #s(literal -1/8 binary64))
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))) (/.f64 (.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64)) (-.f64 #s(literal -1/8 binary64) (.f64 (*.f64 K K) #s(literal 1/384 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/147456 binary64)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64))) (neg.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64)))))
(+.f64 (.f64 (.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64))
(+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1/2 binary64))
(sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fabs.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 1/2 binary64)))

eval256.0ms (2.6%)

Memory: 24.0MiB live, 415.0MiB allocated
Compiler: Compiled 33 689 to 3 390 computations (89.9% saved)

prune61.0ms (0.6%)

Memory

-4.4MiB live, 193.7MiB allocated

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	1 162	7	1 169
Fresh	2	9	11
Picked	2	3	5
Done	0	2	2
Total	1 166	21	1 187

Accuracy

100.0%

Counts

1 187 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.9%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))))
	67.6%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J))))))
	51.8%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	60.0%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
▶	47.8%	#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2)))) (fma.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))))
▶	40.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)))
	16.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (neg U) (* (/ J U) (+ 1/2 (* 1/2 (cos K))))) (neg.f64 J)) (*.f64 (/.f64 J U) #s(literal -2 binary64)) U))
▶	21.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (neg.f64 U) U))))
	16.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 #s(approx ( (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
	37.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (.f64 (sqrt.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
✓	37.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
	37.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64))))
	42.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
✓	49.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
✓	25.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))))
▶	16.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
✓	39.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	15.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (neg U) (* (/ J U) (+ 1/2 (* 1/2 (cos K))))) (* (/ J U) -2)) U) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal 2 binary64) U)))
	16.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (neg U) (* (/ J U) (+ 1/2 (* 1/2 (cos K))))) (* (/ J U) -2)) U) (fma.f64 (.f64 (.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U) #s(literal 2 binary64)) J) J U)))
	25.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (* -2 J) (sqrt (cos (* -1/2 K)))) (sqrt (cos (* -1/2 K)))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
✓	27.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64))))

Compiler

Compiled 580 to 498 computations (14.1% saved)

simplify223.0ms (2.3%)

Memory

1.5MiB live, 193.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
cost-diff	0	(*.f64 J #s(literal -2 binary64))
cost-diff	0	(fma.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
cost-diff	0	#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2)))) (fma.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)))
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
cost-diff	640	(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))
cost-diff	0	(*.f64 (neg.f64 U) U)
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (neg.f64 U) U))))
cost-diff	448	(/.f64 U (*.f64 (neg.f64 U) U))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (neg.f64 U) U)))
cost-diff	0	(neg.f64 U)
cost-diff	0	#s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
cost-diff	0	(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
cost-diff	0	(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)
cost-diff	0	(.f64 (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))))

Rules

5 412×	`lower-*.f32`
5 384×	`lower-*.f64`
4 350×	`lower-fma.f32`
4 344×	`lower-fma.f64`
3 682×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	454
0	108	448
1	196	448
2	448	435
3	1153	433
4	3029	433
5	7309	431
0	8251	425

Stop Event

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

Calls

Call 1

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

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

localize400.0ms (4.1%)

Memory

-13.0MiB live, 358.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(fma.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
accuracy	0.0703125	(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
accuracy	9.05736781169793	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J)
accuracy	31.92054047263606	#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2)))) (fma.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))))
accuracy	0.0546875	(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))
accuracy	0.14453125	(.f64 (/.f64 J U) (.f64 #s(literal -2 binary64) J))
accuracy	0.44480429511359026	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
accuracy	37.99245360229038	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)))
accuracy	0	(neg.f64 U)
accuracy	0.197597509768442	(/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (neg.f64 U) U)))
accuracy	31.20455728294908	(/.f64 U (*.f64 (neg.f64 U) U))
accuracy	38.601114921454645	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (neg.f64 U) U))))
accuracy	0	(neg.f64 U)
accuracy	4.271306192556635	(.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))
accuracy	29.186259362297864	#s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64))
accuracy	53.43217241822457	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
accuracy	0.13671875	(.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
accuracy	0.25132753907376804	(pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64))
accuracy	8.876421416589954	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))
accuracy	9.432234818387519	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))))

Samples

337.0ms

256×

valid

Compiler

Compiled 386 to 70 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 263.0ms

ival-cos: 78.0ms (29.6% of total)

ival-mult: 46.0ms (17.5% of total)

ival-pow2: 46.0ms (17.5% of total)

ival-pow: 42.0ms (15.9% of total)

ival-div: 22.0ms (8.4% of total)

ival-add: 22.0ms (8.4% of total)

ival-sqrt: 5.0ms (1.9% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series224.0ms (2.3%)

Memory

-16.3MiB live, 139.7MiB allocated

Counts

25 → 660

Calls

Call 1

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

Outputs
#s(alt (* -2 (* J (cos (* -1/2 K)))) (taylor 0 U) (#s(alt (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2))))) (taylor 0 U) (#s(alt (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4))))))) (taylor 0 U) (#s(alt (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4))))))))) (taylor 0 U) (#s(alt (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor 0 U) (#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) (taylor 0 U) (#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) (taylor 0 U) (#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (taylor 0 U) (#s(alt (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) (patch (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U) (taylor 0 U) (#s(alt (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) (patch (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U) (taylor 0 U) (#s(alt (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) (patch (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U) (taylor 0 U) (#s(alt (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) (patch (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (taylor 0 U) (#s(alt #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2)) (taylor 0 U) (#s(alt #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2)) (taylor 0 U) (#s(alt #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 U) (taylor 0 U) (#s(alt (neg.f64 U) (patch (neg.f64 U) #<representation binary64>) () ())) ())
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#s(alt (* -1 U) (taylor 0 U) (#s(alt (neg.f64 U) (patch (neg.f64 U) #<representation binary64>) () ())) ())
#s(alt (* -1 U) (taylor 0 U) (#s(alt (neg.f64 U) (patch (neg.f64 U) #<representation binary64>) () ())) ())
#s(alt (* -1 U) (taylor 0 U) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 U (.f64 (neg.f64 U) U))) (patch (/.f64 #s(literal 1 binary64) (/.f64 U (.f64 (neg.f64 U) U))) #<representation binary64>) () ())) ())
#s(alt (* -1 U) (taylor 0 U) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 U (.f64 (neg.f64 U) U))) (patch (/.f64 #s(literal 1 binary64) (/.f64 U (.f64 (neg.f64 U) U))) #<representation binary64>) () ())) ())
#s(alt (* -1 U) (taylor 0 U) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 U (.f64 (neg.f64 U) U))) (patch (/.f64 #s(literal 1 binary64) (/.f64 U (.f64 (neg.f64 U) U))) #<representation binary64>) () ())) ())
#s(alt (* -1 U) (taylor 0 U) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 U (.f64 (neg.f64 U) U))) (patch (/.f64 #s(literal 1 binary64) (/.f64 U (.f64 (neg.f64 U) U))) #<representation binary64>) () ())) ())
#s(alt (/ -1 U) (taylor 0 U) (#s(alt (/.f64 U (.f64 (neg.f64 U) U)) (patch (/.f64 U (.f64 (neg.f64 U) U)) #<representation binary64>) () ())) ())
#s(alt (/ -1 U) (taylor 0 U) (#s(alt (/.f64 U (.f64 (neg.f64 U) U)) (patch (/.f64 U (.f64 (neg.f64 U) U)) #<representation binary64>) () ())) ())
#s(alt (/ -1 U) (taylor 0 U) (#s(alt (/.f64 U (.f64 (neg.f64 U) U)) (patch (/.f64 U (.f64 (neg.f64 U) U)) #<representation binary64>) () ())) ())
#s(alt (/ -1 U) (taylor 0 U) (#s(alt (/.f64 U (.f64 (neg.f64 U) U)) (patch (/.f64 U (.f64 (neg.f64 U) U)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor 0 U) (#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (.f64 (neg.f64 U) U)))) (patch #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (neg.f64 U) U)))) #<representation binary64>) () ())) ())
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#s(alt (* -2 (* J (cos (* -1/2 K)))) (taylor -inf J) (#s(alt (fma.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) (patch (fma.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K)))))) (taylor -inf J) (#s(alt (fma.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) (patch (fma.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K)))))) (taylor -inf J) (#s(alt (fma.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) (patch (fma.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* -2 J) (taylor -inf J) (#s(alt (.f64 J #s(literal -2 binary64)) (patch (.f64 J #s(literal -2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -2 J) (taylor -inf J) (#s(alt (.f64 J #s(literal -2 binary64)) (patch (.f64 J #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 J) (taylor -inf J) (#s(alt (.f64 J #s(literal -2 binary64)) (patch (.f64 J #s(literal -2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) (taylor -inf J) (#s(alt (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (taylor -inf J) (#s(alt (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (taylor -inf J) (#s(alt (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (taylor -inf J) (#s(alt (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (patch (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (taylor -inf J) (#s(alt (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (patch (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -2 (/ (pow J 2) U)) (taylor -inf J) (#s(alt (.f64 (/.f64 J U) (.f64 #s(literal -2 binary64) J)) (patch (.f64 (/.f64 J U) (.f64 #s(literal -2 binary64) J)) #<representation binary64>) () ())) ())
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#s(alt (* -2 (/ (pow J 2) U)) (taylor -inf J) (#s(alt (.f64 (/.f64 J U) (.f64 #s(literal -2 binary64) J)) (patch (.f64 (/.f64 J U) (.f64 #s(literal -2 binary64) J)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) J)) (taylor -inf J) (#s(alt (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (patch (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) J)) (taylor -inf J) (#s(alt (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (patch (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) J)) (taylor -inf J) (#s(alt (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (patch (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) J)) (taylor -inf J) (#s(alt (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (patch (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K))))) (taylor -inf J) (#s(alt (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (patch (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K))))) (taylor -inf J) (#s(alt (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (patch (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K))))) (taylor -inf J) (#s(alt (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (patch (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K))))) (taylor -inf J) (#s(alt (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (patch (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
43.0ms	K	@	inf	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* 1/2 K))) -2)) 1))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U) (/ 1 (/ U (* (neg U) U))) (/ U (* (neg U) U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (neg U) U) (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (+ 1/2 (* 1/2 (cos K))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* 1/2 (cos K)) (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2)))) (+ (* (* J -2) (cos (* K -1/2))) (/ (/ (* -1/4 (* U U)) J) (cos (* K -1/2)))) (* J -2) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* 1/2 K))) -2)) 1)) (pow (* (/ J U) (cos (* 1/2 K))) -2) (* (/ J U) (cos (* 1/2 K))) (* (/ J U) (* -2 J)) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* K -1/2))))
43.0ms	J	@	-inf	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* 1/2 K))) -2)) 1))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U) (/ 1 (/ U (* (neg U) U))) (/ U (* (neg U) U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (neg U) U) (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (+ 1/2 (* 1/2 (cos K))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* 1/2 (cos K)) (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2)))) (+ (* (* J -2) (cos (* K -1/2))) (/ (/ (* -1/4 (* U U)) J) (cos (* K -1/2)))) (* J -2) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* 1/2 K))) -2)) 1)) (pow (* (/ J U) (cos (* 1/2 K))) -2) (* (/ J U) (cos (* 1/2 K))) (* (/ J U) (* -2 J)) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* K -1/2))))
42.0ms	U	@	0	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* 1/2 K))) -2)) 1))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U) (/ 1 (/ U (* (neg U) U))) (/ U (* (neg U) U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (neg U) U) (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (+ 1/2 (* 1/2 (cos K))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* 1/2 (cos K)) (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2)))) (+ (* (* J -2) (cos (* K -1/2))) (/ (/ (* -1/4 (* U U)) J) (cos (* K -1/2)))) (* J -2) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* 1/2 K))) -2)) 1)) (pow (* (/ J U) (cos (* 1/2 K))) -2) (* (/ J U) (cos (* 1/2 K))) (* (/ J U) (* -2 J)) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* K -1/2))))
7.0ms	U	@	inf	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* 1/2 K))) -2)) 1))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U) (/ 1 (/ U (* (neg U) U))) (/ U (* (neg U) U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (neg U) U) (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (+ 1/2 (* 1/2 (cos K))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* 1/2 (cos K)) (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2)))) (+ (* (* J -2) (cos (* K -1/2))) (/ (/ (* -1/4 (* U U)) J) (cos (* K -1/2)))) (* J -2) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* 1/2 K))) -2)) 1)) (pow (* (/ J U) (cos (* 1/2 K))) -2) (* (/ J U) (cos (* 1/2 K))) (* (/ J U) (* -2 J)) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* K -1/2))))
6.0ms	J	@	0	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* 1/2 K))) -2)) 1))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U) (/ 1 (/ U (* (neg U) U))) (/ U (* (neg U) U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (neg U) U) (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (+ 1/2 (* 1/2 (cos K))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* 1/2 (cos K)) (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2)))) (+ (* (* J -2) (cos (* K -1/2))) (/ (/ (* -1/4 (* U U)) J) (cos (* K -1/2)))) (* J -2) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* 1/2 K))) -2)) 1)) (pow (* (/ J U) (cos (* 1/2 K))) -2) (* (/ J U) (cos (* 1/2 K))) (* (/ J U) (* -2 J)) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* K -1/2))))

simplify342.0ms (3.5%)

Memory

10.5MiB live, 242.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 844×	`lower-fma.f64`
12 844×	`lower-fma.f32`
9 490×	`lower-*.f64`
9 490×	`lower-*.f32`
4 556×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	787	14547
1	2555	14233
0	8501	13538

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 652

Calls

Call 1

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

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

rewrite191.0ms (1.9%)

Memory

8.9MiB live, 176.9MiB allocated

Rules

4 122×	`lower-*.f32`
4 094×	`lower-*.f64`
3 626×	`lower-/.f32`
3 616×	`lower-/.f64`
2 836×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	378
0	108	366
1	372	358
2	2374	349
0	8315	342

Stop Event

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

Counts

25 → 565

Calls

Call 1

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

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

eval317.0ms (3.2%)

Memory: 19.6MiB live, 283.7MiB allocated
Compiler: Compiled 35 338 to 3 298 computations (90.7% saved)

prune123.0ms (1.3%)

Memory

-0.8MiB live, 164.3MiB allocated

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	1 350	9	1 359
Fresh	2	9	11
Picked	2	3	5
Done	0	5	5
Total	1 354	26	1 380

Accuracy

100.0%

Counts

1 380 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.9%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))))
	60.0%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* 1/2 K))) -2) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64))))
	67.6%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J))))))
	50.1%	#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2)))) (fma.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal -1/4 binary64) U) (/.f64 U (.f64 J (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))))
	46.8%	#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2)))) (fma.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(approx (/ (/ (* -1/4 (* U U)) J) (cos (* K -1/2))) (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)))))
	25.1%	#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2)))) #s(approx (+ (* (* J -2) (cos (* K -1/2))) (/ (/ (* -1/4 (* U U)) J) (cos (* K -1/2)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))))
	27.4%	#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2)))) #s(approx (+ (* (* J -2) (cos (* K -1/2))) (/ (/ (* -1/4 (* U U)) J) (cos (* K -1/2)))) (/.f64 (fma.f64 (.f64 (.f64 J #s(literal -2 binary64)) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) J)))
	20.7%	#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (* (cos (* -1/2 K)) (/ (* 2 J) U)) -2)))) #s(approx (+ (* (* J -2) (cos (* K -1/2))) (/ (/ (* -1/4 (* U U)) J) (cos (* K -1/2)))) (.f64 (fma.f64 (/.f64 (.f64 J #s(literal -2 binary64)) U) (/.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J))) (.f64 U U))))
	40.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (/.f64 J U) (.f64 #s(literal -2 binary64) J)) (neg.f64 U)))
	40.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (.f64 (/.f64 J U) (.f64 #s(literal -2 binary64) J)) (neg.f64 U)))
	16.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (neg U) (* (/ J U) (+ 1/2 (* 1/2 (cos K))))) (neg.f64 J)) (*.f64 (/.f64 J U) #s(literal -2 binary64)) U))
✓	21.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (neg.f64 U) U))))
	39.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (/ U (* (neg U) U)) (/.f64 #s(literal -1 binary64) U))))
	16.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 #s(approx ( (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
	37.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (.f64 (sqrt.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
✓	37.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
	37.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64))))
	42.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
✓	49.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
✓	25.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))))
✓	16.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
✓	39.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	15.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (neg U) (* (/ J U) (+ 1/2 (* 1/2 (cos K))))) (* (/ J U) -2)) U) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal 2 binary64) U)))
	16.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (neg U) (* (/ J U) (+ 1/2 (* 1/2 (cos K))))) (* (/ J U) -2)) U) (fma.f64 (.f64 (.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U) #s(literal 2 binary64)) J) J U)))
	25.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (* -2 J) (sqrt (cos (* -1/2 K)))) (sqrt (cos (* -1/2 K)))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
✓	27.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64))))

Compiler

Compiled 1 159 to 570 computations (50.8% saved)

regimes153.0ms (1.6%)

Memory

-9.8MiB live, 123.3MiB allocated

Counts

42 → 3

Calls

Call 1

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

Outputs

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

(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) 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)))))

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

Calls

6 calls:

56.0ms	K
43.0ms	(.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)))))
17.0ms	(/.f64 K #s(literal 2 binary64))
12.0ms	U
11.0ms	J

Results

Accuracy	Segments	Branch
78.3%	2	`J`
71.0%	1	`K`
78.8%	2	`U`
99.9%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
71.0%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
71.0%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes16.0ms (0.2%)

Memory

-10.4MiB live, 26.0MiB allocated

Counts

37 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

13.0ms

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

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes13.0ms (0.1%)

Memory

-8.1MiB live, 29.7MiB allocated

Counts

35 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
96.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
88.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes10.0ms (0.1%)

Memory

-16.0MiB live, 20.0MiB allocated

Counts

21 → 4

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
84.2%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

20 → 4

Calls

Call 1

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

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (neg U) (* (/ J U) (+ 1/2 (* 1/2 (cos K))))) (neg.f64 J)) (*.f64 (/.f64 J U) #s(literal -2 binary64)) 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
83.0%	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 24 to 17 computations (29.2% saved)

regimes17.0ms (0.2%)

Memory

-19.9MiB live, 26.4MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

7.0ms

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

5.0ms

Results

Accuracy	Segments	Branch
57.1%	2	`J`
55.6%	2	`U`
78.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes19.0ms (0.2%)

Memory

9.4MiB live, 47.8MiB allocated

Counts

12 → 4

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
4.0ms	(/.f64 K #s(literal 2 binary64))
4.0ms	K
4.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
47.7%	4	`K`
47.7%	4	`(/.f64 K #s(literal 2 binary64))`
55.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
67.9%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes4.0ms (0%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

9 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
67.4%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0%)

Memory

-30.2MiB live, 8.2MiB allocated

Counts

7 → 4

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
67.3%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
49.4%	2	`U`
39.7%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
51.6%	2	`J`
52.2%	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 30 to 29 computations (3.3% saved)

regimes9.0ms (0.1%)

Memory

-13.9MiB live, 23.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	K
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	(/.f64 K #s(literal 2 binary64))
1.0ms	U
1.0ms	J

Results

Accuracy	Segments	Branch
39.7%	1	`K`
39.7%	1	`(/.f64 K #s(literal 2 binary64))`
39.7%	1	`U`
39.7%	1	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
39.7%	1	`J`

Compiler

Compiled 30 to 31 computations (-3.3% saved)

bsearch1.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.855710430756989e+301	+inf
0.0ms	-inf	-4.0401988359568e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.855710430756989e+301	+inf
0.0ms	-inf	-4.0401988359568e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.539617743372674e+288	3.0809253217852257e+299
0.0ms	-1.8242494028053445e+289	-8.639519304386889e+288

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.855710430756989e+301	+inf
0.0ms	-inf	-4.0401988359568e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	8.539617743372674e+288	3.0809253217852257e+299
0.0ms	-2.976358448151211e+248	-3.825458703114403e+244
0.0ms	-inf	-4.0401988359568e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	8.539617743372674e+288	3.0809253217852257e+299
0.0ms	-3.9156032246544785e-219	-1.3989865005214199e-238
0.0ms	-inf	-4.0401988359568e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.9619594746717006e-276	7.127695358098646e-256
0.0ms	-inf	-4.0401988359568e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-1.9619594746717006e-276	7.127695358098646e-256
0.0ms	-3.1241322862678263e-44	-1.227088401408284e-44
0.0ms	-1.8242494028053445e+289	-8.639519304386889e+288

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-1.9619594746717006e-276	7.127695358098646e-256
0.0ms	-3.1241322862678263e-44	-1.227088401408284e-44
0.0ms	-1.8242494028053445e+289	-8.639519304386889e+288

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-1.9619594746717006e-276	7.127695358098646e-256
0.0ms	-3.1241322862678263e-44	-1.227088401408284e-44
0.0ms	-1.8242494028053445e+289	-8.639519304386889e+288

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch25.0ms (0.3%)

Memory

4.9MiB live, 45.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	7.367842189388652e-43	7.915531542324689e-40

Samples

14.0ms

128×

valid

Compiler

Compiled 91 to 135 computations (-48.4% saved)

Precisions

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

ival-mult: 4.0ms (37.3% of total)

ival-cos: 3.0ms (28% of total)

ival-div: 2.0ms (18.7% of total)

ival-add: 1.0ms (9.3% of total)

ival-sqrt: 1.0ms (9.3% of total)

ival-pow2: 1.0ms (9.3% of total)

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

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

exact: 0.0ms (0% of total)

simplify38.0ms (0.4%)

Memory

4.3MiB live, 79.8MiB allocated

Algorithm

1×	egg-herbie

Rules

60×	`-commutative-binary64-.f64`
14×	`+-commutative-binary64-+.f64`
8×	`neg-sub0-binary64--.f64-neg.f64`
8×	`neg-mul-1-binary64-*.f64-neg.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	2057
1	199	2057
2	209	2057
3	216	2057
4	219	2057
5	220	2057

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)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) 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))))) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Outputs
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(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 -10000000000000000617278335278671568869943723109630112583100528505388133765396715589425391709444647966943104584514912613103459078543395617173821153536698722855425910210916188218613474303381375362727338596024627724499484625789034803081540112423670420191213257583185130503608895092113260150784 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -8034690221294951/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (.f64 J #s(literal -2 binary64)))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -1218164251425/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (neg U) (* (/ J U) (+ 1/2 (* 1/2 (cos K))))) (neg.f64 J)) (*.f64 (/.f64 J U) #s(literal -2 binary64)) U)))))
(if (<=.f64 (.f64 (sqrt.f64 (+.f64 (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))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -10000000000000000617278335278671568869943723109630112583100528505388133765396715589425391709444647966943104584514912613103459078543395617173821153536698722855425910210916188218613474303381375362727338596024627724499484625789034803081540112423670420191213257583185130503608895092113260150784 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (sqrt.f64 (+.f64 (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))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -8034690221294951/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (.f64 J #s(literal -2 binary64)))) (if (<=.f64 (.f64 (sqrt.f64 (+.f64 (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))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -1218164251425/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (neg U) (* (/ J U) (+ 1/2 (* 1/2 (cos K))))) (neg.f64 J)) (*.f64 (/.f64 J U) #s(literal -2 binary64)) U)))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -10000000000000000617278335278671568869943723109630112583100528505388133765396715589425391709444647966943104584514912613103459078543395617173821153536698722855425910210916188218613474303381375362727338596024627724499484625789034803081540112423670420191213257583185130503608895092113260150784 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -8034690221294951/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (.f64 J #s(literal -2 binary64)))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -1218164251425/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))))))
(if (<=.f64 (.f64 (sqrt.f64 (+.f64 (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))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -10000000000000000617278335278671568869943723109630112583100528505388133765396715589425391709444647966943104584514912613103459078543395617173821153536698722855425910210916188218613474303381375362727338596024627724499484625789034803081540112423670420191213257583185130503608895092113260150784 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (sqrt.f64 (+.f64 (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))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -8034690221294951/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (.f64 J #s(literal -2 binary64)))) (if (<=.f64 (.f64 (sqrt.f64 (+.f64 (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))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -1218164251425/1218164251424999885044172798484398538859528357199375940858488307151618586345803262808201883235251282403163114528926083522932396233150386755822248412039081677441409712494559128733848706936256706044099949184902297359210699740674359368218295451933620701603467350388034693385228573748989263872 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))))))
(if (<=.f64 J #s(literal 4290987514424489/6129982163463555433433388108601236734474956488734408704 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

soundness1.5s (15%)

Memory

-7.5MiB live, 1 382.5MiB allocated

Rules

19 354×	`lower-fma.f64`
19 354×	`lower-fma.f32`
12 844×	`lower-fma.f64`
12 844×	`lower-fma.f32`
11 186×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	328
0	82	318
1	220	310
2	1177	306
0	9327	304
0	616	13788
1	2016	13503
2	7643	13495
0	8072	12875
0	787	14547
1	2555	14233
0	8501	13538
0	360	3717
1	1153	3609
2	4535	3477
0	8519	3319
0	618	12685
1	1927	12414
2	7027	12378
0	8052	11733
0	62	374
0	96	367
1	297	360
2	1806	360
0	8559	350
0	17	66
0	28	66
1	79	66
2	432	66
3	4364	66
0	8129	66

Stop Event

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

Compiler

Compiled 1 877 to 762 computations (59.4% saved)

preprocess262.0ms (2.7%)

Memory: 13.4MiB live, 288.5MiB allocated
Remove: (abs K)
Compiler: Compiled 2 998 to 634 computations (78.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze332.0ms (3.4%)

sample1.8s (18.8%)

explain220.0ms (2.2%)

preprocess90.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify43.0ms (0.4%)

localize50.0ms (0.5%)

series52.0ms (0.5%)

simplify224.0ms (2.3%)

rewrite163.0ms (1.7%)

eval80.0ms (0.8%)

prune18.0ms (0.2%)

simplify115.0ms (1.2%)

localize172.0ms (1.8%)

series135.0ms (1.4%)

simplify299.0ms (3%)

rewrite305.0ms (3.1%)

eval457.0ms (4.7%)

prune132.0ms (1.3%)

simplify143.0ms (1.5%)

localize205.0ms (2.1%)

series84.0ms (0.9%)

simplify219.0ms (2.2%)

rewrite212.0ms (2.2%)

eval256.0ms (2.6%)

prune61.0ms (0.6%)

simplify223.0ms (2.3%)

localize400.0ms (4.1%)

series224.0ms (2.3%)

simplify342.0ms (3.5%)

rewrite191.0ms (1.9%)

eval317.0ms (3.2%)

prune123.0ms (1.3%)

regimes153.0ms (1.6%)

regimes16.0ms (0.2%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes17.0ms (0.2%)

regimes19.0ms (0.2%)

regimes4.0ms (0%)

regimes5.0ms (0%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch25.0ms (0.3%)

simplify38.0ms (0.4%)

soundness1.5s (15%)

preprocess262.0ms (2.7%)

end0.0ms (0%)

Profiling