Metrics for Maksimov and Kolovsky, Equation (3)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze298.0ms (2.7%)

Memory

-19.2MiB live, 436.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample2.0s (18.5%)

Memory

21.1MiB live, 1 957.4MiB allocated

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 358.0ms (31.8% of total)

ival-cos: 264.0ms (23.4% of total)

ival-div: 183.0ms (16.2% of total)

ival-sqrt: 115.0ms (10.2% of total)

ival-pow2: 100.0ms (8.9% of total)

ival-add: 85.0ms (7.5% of total)

exact: 12.0ms (1.1% of total)

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

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain351.0ms (3.2%)

Memory

-3.0MiB live, 293.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
36	0	-	-	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`
33	0	-	-	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
0	0	-	-	`(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	0	-	-	`K`
0	0	-	-	`(/.f64 K #s(literal 2 binary64))`
0	0	-	-	`#s(literal 1 binary64)`
0	121	(6.338498938094368e-11 -7.140158645810175e+147 -7.303102165414938e-283)	-	`(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	121	0
`sqrt.f64`	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`	oflow-rescue	36	0
↳	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`	overflow	33
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	33
↳	`(+.f64 #s(literal 1 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	69
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	69
`*.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**	33	0

Confusion

	Predicted +	Predicted -
+	69	0
-	91	96

Precision

0.43125

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	69	0	0
-	91	0	96

Precision?

0.43125

Recall?

1.0

Freqs

test

number	freq
0	96
1	130
2	30

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

70.0ms

512×

valid

Compiler

Compiled 251 to 55 computations (78.1% saved)

Precisions

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

ival-mult: 19.0ms (39.3% of total)

ival-cos: 11.0ms (22.7% of total)

ival-div: 7.0ms (14.5% of total)

ival-pow2: 5.0ms (10.3% of total)

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

ival-add: 2.0ms (4.1% of total)

exact: 1.0ms (2.1% of total)

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

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

preprocess97.0ms (0.9%)

Memory

13.8MiB live, 51.4MiB allocated

Algorithm

1×	egg-herbie

Rules

507×	`neg-mul-1`
492×	`distribute-lft-neg-in`
426×	`lower-*.f32`
421×	`lower-*.f64`
421×	`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 (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))))

Symmetry

(abs U)

(abs K)

(negabs J)

Compiler

Compiled 27 to 17 computations (37% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Status

Accuracy

Program

▶

74.5%

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

Compiler

Compiled 27 to 17 computations (37% saved)

simplify66.0ms (0.6%)

Memory

-7.4MiB live, 31.8MiB 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

426×	`lower-*.f32`
421×	`lower-*.f64`
393×	`associate-*r/`
379×	`lower-/.f32`
377×	`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 (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))))
(.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 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 #s(literal 1 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 U (.f64 (.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))
(/.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)

localize91.0ms (0.8%)

Memory

-5.9MiB live, 69.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
accuracy	0.270195019536884	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	7.809646723098637	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
accuracy	8.409693750502798	(sqrt.f64 (+.f64 #s(literal 1 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

33.0ms

256×

valid

Compiler

Compiled 112 to 19 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 7.0ms (31.9% of total)

ival-cos: 6.0ms (27.3% of total)

ival-div: 3.0ms (13.7% of total)

ival-sqrt: 2.0ms (9.1% of total)

ival-pow2: 2.0ms (9.1% of total)

ival-add: 1.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series54.0ms (0.5%)

Memory

9.2MiB live, 86.2MiB allocated

Counts

7 → 192

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>) () ())
#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())

Outputs
#s(alt (* -1 U) (taylor 0 J) (#s(alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) (taylor 0 J) (#s(alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) (taylor 0 J) (#s(alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) (taylor 0 J) (#s(alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ U (* J (cos (* 1/2 K))))) (taylor -inf U) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (cos (* 1/2 K))))) (taylor 0 J) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (cos (* 1/2 K))))) (taylor 0 J) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (cos (* 1/2 K))))) (taylor 0 J) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (cos (* 1/2 K))))) (taylor 0 J) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (cos (* 1/2 K))))) (taylor inf J) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (cos (* 1/2 K))))) (taylor inf J) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (cos (* 1/2 K))))) (taylor inf J) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (cos (* 1/2 K))))) (taylor inf J) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (cos (* 1/2 K))))) (taylor -inf J) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (cos (* 1/2 K))))) (taylor -inf J) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (cos (* 1/2 K))))) (taylor -inf J) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (cos (* 1/2 K))))) (taylor -inf J) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor 0 K) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) (taylor 0 K) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J))))) (taylor 0 K) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))))))) (taylor 0 K) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (cos (* 1/2 K))))) (taylor inf K) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (cos (* 1/2 K))))) (taylor inf K) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (cos (* 1/2 K))))) (taylor inf K) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (cos (* 1/2 K))))) (taylor inf K) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (cos (* 1/2 K))))) (taylor -inf K) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (cos (* 1/2 K))))) (taylor -inf K) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (cos (* 1/2 K))))) (taylor -inf K) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (cos (* 1/2 K))))) (taylor -inf K) (#s(alt (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (patch (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #<representation binary64>) () ())) ())

Calls

48 calls:

Time	Variable		Point	Expression
8.0ms	K	@	inf	(/ U (* (* 2 J) (cos (/ K 2))))
5.0ms	J	@	0	(* -2 J)
4.0ms	K	@	0	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
4.0ms	K	@	inf	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
2.0ms	K	@	-inf	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))

simplify276.0ms (2.5%)

Memory

12.6MiB live, 342.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 550×	`lower-fma.f64`
7 550×	`lower-fma.f32`
3 664×	`lower-*.f64`
3 664×	`lower-*.f32`
2 015×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	389	4135
1	1271	4017
2	5051	3871
0	8531	3709

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 191

Calls

Call 1

Inputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U J))
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))

Outputs
(* -1 U)
(neg.f64 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(fma.f64 (.f64 (.f64 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))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (.f64 (.f64 U U) U)) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (.f64 J J) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (.f64 (.f64 U U) U)) #s(literal 2 binary64) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 6 binary64)) (/.f64 (.f64 J J) (pow.f64 U #s(literal 5 binary64)))) #s(literal -4 binary64))) (.f64 J J) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U))
(* -2 (* J (cos (* 1/2 K))))
(.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 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J))) #s(literal -1/4 binary64) (.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 (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 J J) (.f64 J J)))) #s(literal 1/64 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J))) #s(literal -1/4 binary64) (.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))))) (+ (* -1/512 (/ (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 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J))) #s(literal -1/4 binary64) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)) (pow.f64 J #s(literal 6 binary64)))) #s(literal -1/512 binary64) (.f64 (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 J J) (*.f64 J J)))) #s(literal 1/64 binary64))))) J)
(* -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 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J))) #s(literal -1/4 binary64) (.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 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 J J) (.f64 J J)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J))) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #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 (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)) (pow.f64 J #s(literal 6 binary64)))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 J J) (.f64 J J)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J))) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) J)
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (.f64 U (/.f64 U J)) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) #s(literal -2 binary64))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
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(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (pow J 2)))
(.f64 (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(.f64 (.f64 U (/.f64 U (.f64 J J))) (fma.f64 (.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/96 binary64)) K) K) K) K (.f64 (.f64 U (/.f64 U (.f64 J J))) (fma.f64 (.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(fma.f64 (.f64 U (/.f64 U (.f64 J J))) (fma.f64 (.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 K K) (.f64 K K)) (fma.f64 (.f64 (.f64 K K) #s(literal -1/4 binary64)) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -17/2880 binary64)) (.f64 (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/96 binary64)))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
(.f64 (/.f64 U J) (fma.f64 (.f64 K K) #s(literal 1/16 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))
(fma.f64 (.f64 (.f64 (.f64 (/.f64 U J) #s(literal 5/768 binary64)) K) K) (.f64 K K) (.f64 (/.f64 U J) (fma.f64 (.f64 K K) #s(literal 1/16 binary64) #s(literal 1/2 binary64))))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(fma.f64 (/.f64 U J) (fma.f64 (.f64 K K) #s(literal 1/16 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 K K) (.f64 K K)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 U J) #s(literal -61/46080 binary64))) (.f64 K K) (*.f64 (/.f64 U J) #s(literal 5/768 binary64)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))

rewrite189.0ms (1.7%)

Memory

4.1MiB live, 314.7MiB allocated

Rules

1 776×	`lower-*.f32`
1 771×	`lower-*.f64`
1 709×	`lower-fma.f64`
1 709×	`lower-fma.f32`
1 025×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
0	28	76
1	79	76
2	432	76
3	4364	76
0	8129	76

Stop Event

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

Counts

7 → 403

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

eval96.0ms (0.9%)

Memory: -8.9MiB live, 216.9MiB allocated
Compiler: Compiled 20 089 to 2 320 computations (88.5% saved)

prune110.0ms (1%)

Memory

-4.2MiB live, 253.3MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	595	17	612
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	596	17	613

Accuracy

99.9%

Counts

613 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.1%	(/.f64 (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (sqrt.f64 (-.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 -4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64)))))))))))
	42.0%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	60.7%	(.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64))) J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
▶	74.4%	(.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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64)))))
	65.0%	(.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 #s(approx (/ U ( (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
▶	70.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 U (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)))))))
▶	30.8%	(.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 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
	10.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
▶	56.5%	(.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 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
	39.3%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 J (fma.f64 #s(literal -1/192 binary64) (.f64 K K) #s(literal 1/4 binary64))) (.f64 K K) (.f64 J #s(literal -2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	50.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) U) U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
	39.9%	#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 (fma.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 J J) J) (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))))
	29.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (.f64 U (/.f64 U J)) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) #s(literal -2 binary64)))
	10.0%	#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 J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
	38.1%	#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 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
	51.5%	#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)))))
▶	40.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Compiler

Compiled 1 018 to 648 computations (36.3% saved)

simplify150.0ms (1.4%)

Memory

-9.4MiB live, 224.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 U (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (*.f64 #s(literal 2 binary64) J)))))
cost-diff	384	(/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)))
cost-diff	512	(.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))
cost-diff	640	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (*.f64 #s(literal 2 binary64) J))
cost-diff	0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
cost-diff	0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 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 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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64)))))

Rules

2 338×	`lower-fma.f32`
2 337×	`lower-fma.f64`
2 212×	`lower-*.f32`
2 193×	`lower-*.f64`
1 783×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	592
0	99	592
1	173	572
2	412	550
3	1172	529
4	3161	529
5	3468	529
6	4334	529
7	5132	529
8	5312	529
9	5345	529
0	8231	519

Stop Event

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

Calls

Call 1

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

localize199.0ms (1.8%)

Memory

32.5MiB live, 351.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.3265866246113601	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))))))
accuracy	4.241707069979787	(.f64 U (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (*.f64 #s(literal 2 binary64) J))))
accuracy	7.809646723098637	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 U (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)))))))
accuracy	8.409693750502798	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 U (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (*.f64 #s(literal 2 binary64) J))))))
accuracy	0.10546875	(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)
accuracy	0.14257752299641877	(/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
accuracy	7.809646723098637	(.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 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
accuracy	38.14714254882652	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
accuracy	7.809646723098637	(.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 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
accuracy	7.991747816078431	(/.f64 U (*.f64 J J))
accuracy	8.406394520927504	(sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
accuracy	9.05705298824058	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
accuracy	0	(neg.f64 U)
accuracy	38.13302141148679	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
accuracy	0.22265625	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)) U)
accuracy	0.270195019536884	(pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64))
accuracy	7.809646723098637	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64)))))
accuracy	8.409693750502798	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64))))

Samples

124.0ms

256×

valid

Compiler

Compiled 547 to 54 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 29.0ms (34.4% of total)

ival-cos: 20.0ms (23.7% of total)

ival-div: 11.0ms (13% of total)

ival-pow2: 10.0ms (11.9% of total)

ival-add: 6.0ms (7.1% of total)

ival-sqrt: 6.0ms (7.1% 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)

series127.0ms (1.2%)

Memory

-10.0MiB live, 141.4MiB allocated

Counts

25 → 720

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

Outputs
#s(alt (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (taylor 0 J) (#s(alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))) (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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4))))))) (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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 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)))))))) (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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* -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)))))) (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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -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))))))) (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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -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)))))))) (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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (taylor 0 K) (#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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (taylor 0 K) (#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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (taylor 0 K) (#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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) (taylor 0 K) (#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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4))) (taylor 0 K) (#s(alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (patch (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos (* -1 K)))) (taylor inf K) (#s(alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (patch (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos (* -1 K)))) (taylor inf K) (#s(alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (patch (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos (* -1 K)))) (taylor inf K) (#s(alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (patch (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos (* -1 K)))) (taylor inf K) (#s(alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (patch (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos (* -1 K)))) (taylor -inf K) (#s(alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (patch (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos (* -1 K)))) (taylor -inf K) (#s(alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (patch (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos (* -1 K)))) (taylor -inf K) (#s(alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (patch (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos (* -1 K)))) (taylor -inf K) (#s(alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (patch (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) #<representation binary64>) () ())) ())

Calls

180 calls:

Time	Variable		Point	Expression
7.0ms	K	@	-inf	(* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))
5.0ms	K	@	-inf	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))))
5.0ms	K	@	-inf	(/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))
4.0ms	J	@	0	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2))))
3.0ms	J	@	0	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))))

simplify370.0ms (3.4%)

Memory

12.5MiB live, 280.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 109×	`lower-fma.f64`
4 109×	`lower-fma.f32`
3 233×	`lower-*.f64`
3 233×	`lower-*.f32`
2 871×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	928	18451
1	3057	17804
0	8306	16787

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 716

Calls

Call 1

Inputs
(* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 3))))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 5))) (* 2 (/ (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K))) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4))))))))
(* -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 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (pow (cos (* -1/2 K)) 2)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (pow (cos (* -1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))))))
(* -1 (/ (* 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) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
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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)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))))))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K))))))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))))))
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3))))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))))))
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3))))))))
(* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
1
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(+ 1/2 (* 1/2 (cos (* -1 K))))
(+ 1/2 (* 1/2 (cos (* -1 K))))
(+ 1/2 (* 1/2 (cos (* -1 K))))
(+ 1/2 (* 1/2 (cos (* -1 K))))
(+ 1/2 (* 1/2 (cos (* -1 K))))
(+ 1/2 (* 1/2 (cos (* -1 K))))
(+ 1/2 (* 1/2 (cos (* -1 K))))
(+ 1/2 (* 1/2 (cos (* -1 K))))

Outputs
(* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K))))
(.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))))
(fma.f64 (.f64 (.f64 J J) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) U))) #s(literal -2 binary64) (.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 3))))))
(fma.f64 (fma.f64 (.f64 (.f64 J J) (.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))) (.f64 (.f64 U U) U)))) #s(literal 2 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)) #s(literal -2 binary64))) (.f64 J J) (.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 5))) (* 2 (/ (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K))) (pow U 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (pow.f64 U #s(literal 5 binary64)))) #s(literal -4 binary64) (.f64 (.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))) (.f64 (.f64 U U) U))) #s(literal 2 binary64))) (.f64 J J) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)) #s(literal -2 binary64))) (.f64 J J) (.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 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 K #s(literal 1/2 binary64))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(.f64 (fma.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 (.f64 U U) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -1/4 binary64)) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)))) J)
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))))
(.f64 (fma.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (fma.f64 (/.f64 (.f64 (.f64 U U) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J))) #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 1/64 binary64)) (.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))))) J)
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4))))))))
(.f64 (fma.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 U #s(literal 6 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64)))) #s(literal -1/512 binary64) (fma.f64 (/.f64 (.f64 (.f64 U U) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J))) #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 1/64 binary64)) (.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))))))) J)
(* -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) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 2 (cos (* 1/2 K))))))
(.f64 (neg.f64 J) (fma.f64 #s(literal 2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 (.f64 U U) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)))))
(* -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)))))))
(.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 (.f64 U U) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)))))) J)
(* -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))))))))
(.f64 (neg.f64 J) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (.f64 (pow.f64 U #s(literal 6 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64)))) (fma.f64 #s(literal 2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 (.f64 U U) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
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U
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U
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U
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(+ (* -1/2 (* J (pow K 2))) (* 2 J))
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(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3))))))))
(.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 J J) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 U U)))) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (pow.f64 U #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))) (neg.f64 U))
(* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))))))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (pow.f64 U #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64))) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 J J) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 U U)))) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (pow.f64 U #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))) (neg.f64 U))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(fma.f64 (.f64 (.f64 K K) (/.f64 (.f64 U U) (.f64 J J))) #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(fma.f64 (fma.f64 (.f64 (.f64 K K) #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 U U) #s(literal -1/24 binary64)) (.f64 J J)) (/.f64 (.f64 (.f64 U U) #s(literal 1/16 binary64)) (.f64 J J))) (.f64 K K) (/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 J J)))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 13/2880 binary64) (.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/24 binary64)) (.f64 J J)) #s(literal 1/4 binary64))) (.f64 K K) (/.f64 (.f64 (.f64 U U) #s(literal -1/24 binary64)) (.f64 J J)))) (.f64 K K) (/.f64 (.f64 (.f64 U U) #s(literal 1/16 binary64)) (.f64 J J))) (.f64 K K) (/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 K K) #s(literal 1/48 binary64)) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* -1 K))))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -1 K))))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -1 K))))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -1 K))))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -1 K))))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -1 K))))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -1 K))))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -1 K))))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

rewrite322.0ms (2.9%)

Memory

8.7MiB live, 295.9MiB allocated

Rules

1 957×	`lower-/.f32`
1 951×	`lower-/.f64`
1 703×	`lower-*.f32`
1 685×	`lower-*.f64`
1 339×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	415
0	99	415
1	303	384
2	1863	368
0	8736	351

Stop Event

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

Counts

25 → 828

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

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

eval388.0ms (3.5%)

Memory: -5.0MiB live, 526.2MiB allocated
Compiler: Compiled 57 738 to 4 834 computations (91.6% saved)

prune290.0ms (2.6%)

Memory

-33.7MiB live, 483.7MiB allocated

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	1 735	25	1 760
Fresh	8	4	12
Picked	4	1	5
Done	0	0	0
Total	1 747	30	1 777

Accuracy

99.9%

Counts

1 777 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.1%	(/.f64 (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (sqrt.f64 (-.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 -4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64)))))))))))
	42.0%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	23.4%	(.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 0 binary64) (.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 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
▶	74.4%	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64)))))
	74.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) J) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1 binary64))))
	30.7%	(.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 U (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) J))))
	62.8%	(.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 U (/.f64 (/.f64 U J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
	26.2%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (/ (* 1/2 U) (* (cos (* K 1/2)) J)) (*.f64 (/.f64 #s(literal 1/2 binary64) J) U))))
	44.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 J J)) (.f64 U U) #s(literal 1 binary64)))))
▶	39.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 ( U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
	33.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
	33.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 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 (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
	74.4%	(.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
▶	56.5%	(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
▶	33.3%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
	26.3%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
	38.1%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
	39.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 J J) J))) (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (.f64 U U) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
	50.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) U) U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
	14.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
▶	23.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
	14.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 U U) U)))))
	23.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (-.f64 #s(literal 0 binary64) (*.f64 U U)))))
	14.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))))))
	23.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
	51.5%	#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)))))
✓	40.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	13.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
	52.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))))))) (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) (*.f64 U U) #s(literal 1 binary64)))))
	51.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))))))) (.f64 (neg.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))

Compiler

Compiled 1 530 to 968 computations (36.7% saved)

simplify160.0ms (1.5%)

Memory

17.4MiB live, 211.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 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) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 ( U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
cost-diff	192	(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))
cost-diff	0	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64))))
cost-diff	0	(.f64 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64)))
cost-diff	0	(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
cost-diff	0	(*.f64 #s(literal 1/4 binary64) J)
cost-diff	0	#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (*.f64 J #s(literal -2 binary64))))
cost-diff	0	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
cost-diff	320	(fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (*.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)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
cost-diff	64	(-.f64 #s(literal 0 binary64) (*.f64 U U))
cost-diff	192	(+.f64 #s(literal 0 binary64) U)
cost-diff	1024	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
cost-diff	0	(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
cost-diff	0	(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)
cost-diff	0	(.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64)))))

Rules

2 434×	`lower-fma.f32`
2 430×	`lower-fma.f64`
2 314×	`lower-*.f32`
2 293×	`lower-*.f64`
856×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	640
0	130	631
1	237	627
2	549	605
3	1551	599
4	3890	599
5	4606	599
6	5708	599
7	6167	599
8	6740	599
0	8181	592

Stop Event

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

Calls

Call 1

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

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

localize299.0ms (2.7%)

Memory

11.5MiB live, 533.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.19921875	(*.f64 (/.f64 #s(literal 1/2 binary64) J) U)
accuracy	0.3265866246113601	(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	7.809646723098637	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 ( U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
accuracy	30.729927663359938	#s(approx (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
accuracy	7.811812265057708	(.f64 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64)))
accuracy	7.99174781607843	(/.f64 U (*.f64 J J))
accuracy	8.406394520927504	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))
accuracy	9.05705298824058	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64))))
accuracy	7.99174781607843	(/.f64 U (*.f64 J J))
accuracy	8.406394520927504	(sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
accuracy	9.05705298824058	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
accuracy	29.934379224943434	#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (*.f64 J #s(literal -2 binary64))))
accuracy	0	(+.f64 #s(literal 0 binary64) U)
accuracy	0	(*.f64 U U)
accuracy	29.177992013035944	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
accuracy	38.13302141148679	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
accuracy	0.22265625	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)) U)
accuracy	0.270195019536884	(pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64))
accuracy	7.809646723098637	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64)))))
accuracy	8.409693750502798	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64))))

Samples

177.0ms

256×

valid

Compiler

Compiled 529 to 76 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult: 58.0ms (39.9% of total)

ival-cos: 29.0ms (20% of total)

ival-div: 16.0ms (11% of total)

ival-pow2: 16.0ms (11% of total)

ival-add: 13.0ms (8.9% of total)

ival-sqrt: 12.0ms (8.3% of total)

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

exact: 1.0ms (0.7% of total)

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

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

series92.0ms (0.8%)

Memory

20.2MiB live, 172.2MiB allocated

Counts

30 → 756

Calls

Call 1

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

Outputs
#s(alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (taylor 0 K) (#s(alt (.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (taylor 0 K) (#s(alt (.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (taylor 0 K) (#s(alt (.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))) (taylor -inf K) (#s(alt #s(approx (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (patch #s(approx (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))) (taylor -inf K) (#s(alt #s(approx (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (patch #s(approx (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (pow K 2))) (taylor 0 K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4))) (taylor 0 K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4))) (taylor 0 K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor inf K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor inf K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor inf K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor inf K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor -inf K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor -inf K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor -inf K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor -inf K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor 0 J) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor 0 J) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor 0 J) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor 0 J) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor inf J) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor inf J) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor inf J) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor inf J) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor -inf J) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor -inf J) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor -inf J) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor -inf J) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor 0 U) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor 0 U) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor 0 U) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor 0 U) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor inf U) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor inf U) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor inf U) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor inf U) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor -inf U) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor -inf U) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor -inf U) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor -inf U) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (patch (.f64 (/.f64 #s(literal 1/2 binary64) J) U) #<representation binary64>) () ())) ())

Calls

189 calls:

Time	Variable		Point	Expression
14.0ms	U	@	inf	(* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (cos (* -1/2 K)))
4.0ms	J	@	-inf	(+ (* (* 1/4 J) (* K K)) (* J -2))
2.0ms	K	@	0	(* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (cos (* -1/2 K)))
1.0ms	K	@	0	(* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2))
1.0ms	J	@	inf	(+ (* (* 1/4 J) (* K K)) (* J -2))

simplify271.0ms (2.5%)

Memory

13.3MiB live, 434.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 546×	`lower-fma.f64`
4 546×	`lower-fma.f32`
3 413×	`lower-*.f64`
3 413×	`lower-*.f32`
3 307×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1094	18433
1	3584	17892
0	8009	16920

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 740

Calls

Call 1

Inputs
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* -1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* -1/2 K))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3))))))))
(* -2 (* J (cos (* -1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K))))))))
(* -2 (* J (cos (* -1/2 K))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* -1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* -1/2 K))))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* -1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* -1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* -1/2 K))))))))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4))))) 1))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4))))) 1)))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
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(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
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(+ 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)))))))
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(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
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(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
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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)))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
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(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(* 1/2 (/ U J))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(/ U (pow J 2))
(/ U (pow J 2))
(/ U (pow J 2))
(/ U (pow J 2))
(/ U (pow J 2))
(/ U (pow J 2))
(/ U (pow J 2))
(/ U (pow J 2))
(/ U (pow J 2))
(/ U (pow J 2))
(/ U (pow J 2))
(/ U (pow J 2))
(/ U (pow J 2))
(/ U (pow J 2))
(/ U (pow J 2))
(/ U (pow J 2))
(/ U (pow J 2))
(/ U (pow J 2))
(/ U (pow J 2))
(/ U (pow J 2))
(/ U (pow J 2))
(/ U (pow J 2))
(/ U (pow J 2))
(/ U (pow J 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))))))
(* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(* -1 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))))))
(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K)))))))))))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos (* -1 K)) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K)))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos (* -1 K)) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos (* -1 K)) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3))))))))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
1
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))

Outputs
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 U U) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (.f64 K K) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J)))
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(sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow K 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 K K) #s(literal 1/48 binary64)) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))

rewrite242.0ms (2.2%)

Memory

-28.1MiB live, 292.3MiB allocated

Rules

2 060×	`lower-*.f32`
2 039×	`lower-*.f64`
1 428×	`lower-/.f32`
1 422×	`lower-/.f64`
1 297×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	477
0	130	468
1	443	448
2	3152	427
0	8262	423

Stop Event

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

Counts

30 → 659

Calls

Call 1

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

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

eval391.0ms (3.6%)

Memory: 37.4MiB live, 341.8MiB allocated
Compiler: Compiled 44 949 to 3 715 computations (91.7% saved)

prune628.0ms (5.7%)

Memory

-125.9MiB live, 677.9MiB allocated

Pruning

38 alts after pruning (35 fresh and 3 done)

	Pruned	Kept	Total
New	1 447	19	1 466
Fresh	8	16	24
Picked	3	2	5
Done	0	1	1
Total	1 458	38	1 496

Accuracy

99.9%

Counts

1 496 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.0%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	23.4%	(.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 0 binary64) (.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 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
	39.5%	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
✓	74.4%	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64)))))
	74.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) J) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1 binary64))))
	30.7%	(.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 U (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) J))))
	62.8%	(.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 U (/.f64 (/.f64 U J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
	26.2%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (/ (* 1/2 U) (* (cos (* K 1/2)) J)) (*.f64 (/.f64 #s(literal 1/2 binary64) J) U))))
	33.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
	33.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 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 (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
▶	74.4%	(.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
	62.8%	(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (/.f64 U J) J) U) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
✓	56.5%	(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
	46.1%	(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (* (/ U (* J J)) U)) 1)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
	26.3%	(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (* (/ U (* J J)) U)) 1)) (.f64 (/.f64 U J) #s(literal 1/2 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
	36.8%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 (/.f64 U J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
	22.4%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
	2.0%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))))
	27.2%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) #s(literal 1 binary64))))
	23.1%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (fma.f64 (.f64 (.f64 (.f64 J K) K) (.f64 (.f64 J K) K)) #s(literal 1/16 binary64) (neg.f64 (.f64 #s(literal 4 binary64) (.f64 J J)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J (.f64 #s(literal 2 binary64) J))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
	26.3%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
	38.1%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
▶	51.5%	(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
	40.3%	#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (fma.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 (.f64 J J) J) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)))) #s(literal 1/64 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (*.f64 U U))))
	50.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) U) U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
	23.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
▶	20.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
	14.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (.f64 U U) U) (*.f64 (neg.f64 U) U)))
▶	23.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
	11.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (.f64 (.f64 U U) (.f64 U U))) (.f64 (*.f64 U U) U)))
	23.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (-.f64 #s(literal 0 binary64) (*.f64 U U)))))
	40.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 U))))
	14.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 (neg.f64 U) U) (.f64 (.f64 U U) U)) (*.f64 U U)))
	23.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) U) (.f64 (neg.f64 U) U)))
✓	40.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
▶	13.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
	52.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))))))) (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) (*.f64 U U) #s(literal 1 binary64)))))
	51.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))))))) (.f64 (neg.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))

Compiler

Compiled 1 725 to 1 074 computations (37.7% saved)

simplify242.0ms (2.2%)

Memory

8.2MiB live, 200.6MiB 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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
cost-diff	0	(.f64 U (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
cost-diff	0	(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
cost-diff	0	(*.f64 J #s(literal -2 binary64))
cost-diff	0	#s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (*.f64 J #s(literal -2 binary64)))
cost-diff	0	(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) (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 #s(literal 0 binary64) (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
cost-diff	64	(-.f64 #s(literal 0 binary64) (*.f64 U U))
cost-diff	1024	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U)))
cost-diff	1344	(.f64 (/.f64 #s(literal 1 binary64) U) (.f64 U U))
cost-diff	0	(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 (*.f64 (neg.f64 U) U) U))
cost-diff	1024	(/.f64 (*.f64 (neg.f64 U) U) U)
cost-diff	0	(.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
cost-diff	128	(+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
cost-diff	448	(/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
cost-diff	704	(.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J))

Rules

3 932×	`lower-fma.f32`
3 931×	`lower-fma.f64`
2 721×	`lower-*.f32`
2 709×	`lower-*.f64`
1 311×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	407
0	88	390
1	168	380
2	413	358
3	1229	353
4	4498	353
5	5380	353
0	8263	344

Stop Event

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

Calls

Call 1

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

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

localize185.0ms (1.7%)

Memory

24.7MiB live, 329.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal -1/2 binary64) K)
accuracy	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
accuracy	0	(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
accuracy	55.66900632231277	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
accuracy	0	(*.f64 #s(literal -1/2 binary64) K)
accuracy	0	(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
accuracy	0.09375	(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
accuracy	30.983588305643018	#s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (*.f64 J #s(literal -2 binary64)))
accuracy	0	(*.f64 U U)
accuracy	29.177992013035944	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U)))
accuracy	29.35276744437413	(.f64 (/.f64 #s(literal 1 binary64) U) (.f64 U U))
accuracy	38.13302141148679	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
accuracy	0	(*.f64 (neg.f64 U) U)
accuracy	0	(neg.f64 U)
accuracy	29.177992013035944	(/.f64 (*.f64 (neg.f64 U) U) U)
accuracy	38.13302141148679	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
accuracy	0.2809562988422101	(.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J))
accuracy	0.3265866246113601	(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	7.811812265057708	(.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64)))
accuracy	8.409693750502798	(sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Samples

128.0ms

256×

valid

Compiler

Compiled 374 to 59 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 35.0ms (33.5% of total)

ival-cos: 32.0ms (30.6% of total)

ival-div: 14.0ms (13.4% of total)

ival-sub: 7.0ms (6.7% of total)

ival-add: 5.0ms (4.8% of total)

ival-sqrt: 5.0ms (4.8% of total)

ival-pow2: 5.0ms (4.8% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series89.0ms (0.8%)

Memory

-31.3MiB live, 169.3MiB allocated

Counts

25 → 564

Calls

Call 1

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

Outputs
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor 0 U) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor 0 U) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor 0 U) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor 0 U) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor inf U) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor inf U) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor inf U) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor inf U) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor -inf U) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor -inf U) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor -inf U) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor -inf U) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor 0 J) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor 0 J) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor 0 J) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor 0 J) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor inf J) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor inf J) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor inf J) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor inf J) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor -inf J) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor -inf J) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor -inf J) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor -inf J) (#s(alt (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (patch (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 U) (#s(alt (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 U) (#s(alt (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 U) (#s(alt (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 U) (#s(alt (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor inf U) (#s(alt (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor inf U) (#s(alt (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor inf U) (#s(alt (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* -1 (* (* J (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* -1 (* (* 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))))))))))))) (taylor 0 K) (#s(alt (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (patch (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) (taylor inf K) (#s(alt (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (patch (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) (taylor inf K) (#s(alt (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (patch (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) (taylor inf K) (#s(alt (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (patch (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) (taylor inf K) (#s(alt (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (patch (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) (taylor -inf K) (#s(alt (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (patch (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) (taylor -inf K) (#s(alt (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (patch (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) (taylor -inf K) (#s(alt (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (patch (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) (taylor -inf K) (#s(alt (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (patch (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (pow K 2))) (taylor 0 K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4))) (taylor 0 K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4))) (taylor 0 K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor inf K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor inf K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor inf K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor inf K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor -inf K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor -inf K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor -inf K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor -inf K) (#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow U 2) (taylor 0 U) (#s(alt (.f64 U U) (patch (.f64 U U) #<representation binary64>) () ())) ())
#s(alt (pow U 2) (taylor 0 U) (#s(alt (.f64 U U) (patch (.f64 U U) #<representation binary64>) () ())) ())
#s(alt (pow U 2) (taylor 0 U) (#s(alt (.f64 U U) (patch (.f64 U U) #<representation binary64>) () ())) ())
#s(alt (pow U 2) (taylor 0 U) (#s(alt (.f64 U U) (patch (.f64 U U) #<representation binary64>) () ())) ())
#s(alt (pow U 2) (taylor inf U) (#s(alt (.f64 U U) (patch (.f64 U U) #<representation binary64>) () ())) ())
#s(alt (pow U 2) (taylor inf U) (#s(alt (.f64 U U) (patch (.f64 U U) #<representation binary64>) () ())) ())
#s(alt (pow U 2) (taylor inf U) (#s(alt (.f64 U U) (patch (.f64 U U) #<representation binary64>) () ())) ())
#s(alt (pow U 2) (taylor inf U) (#s(alt (.f64 U U) (patch (.f64 U U) #<representation binary64>) () ())) ())
#s(alt (pow U 2) (taylor -inf U) (#s(alt (.f64 U U) (patch (.f64 U U) #<representation binary64>) () ())) ())
#s(alt (pow U 2) (taylor -inf U) (#s(alt (.f64 U U) (patch (.f64 U U) #<representation binary64>) () ())) ())
#s(alt (pow U 2) (taylor -inf U) (#s(alt (.f64 U U) (patch (.f64 U U) #<representation binary64>) () ())) ())
#s(alt (pow U 2) (taylor -inf U) (#s(alt (.f64 U U) (patch (.f64 U U) #<representation binary64>) () ())) ())
#s(alt (* -1/2 K) (taylor 0 K) (#s(alt (.f64 #s(literal -1/2 binary64) K) (patch (.f64 #s(literal -1/2 binary64) K) #<representation binary64>) () ())) ())
#s(alt (* -1/2 K) (taylor 0 K) (#s(alt (.f64 #s(literal -1/2 binary64) K) (patch (.f64 #s(literal -1/2 binary64) K) #<representation binary64>) () ())) ())
#s(alt (* -1/2 K) (taylor 0 K) (#s(alt (.f64 #s(literal -1/2 binary64) K) (patch (.f64 #s(literal -1/2 binary64) K) #<representation binary64>) () ())) ())
#s(alt (* -1/2 K) (taylor 0 K) (#s(alt (.f64 #s(literal -1/2 binary64) K) (patch (.f64 #s(literal -1/2 binary64) K) #<representation binary64>) () ())) ())
#s(alt (* -1/2 K) (taylor inf K) (#s(alt (.f64 #s(literal -1/2 binary64) K) (patch (.f64 #s(literal -1/2 binary64) K) #<representation binary64>) () ())) ())
#s(alt (* -1/2 K) (taylor inf K) (#s(alt (.f64 #s(literal -1/2 binary64) K) (patch (.f64 #s(literal -1/2 binary64) K) #<representation binary64>) () ())) ())
#s(alt (* -1/2 K) (taylor inf K) (#s(alt (.f64 #s(literal -1/2 binary64) K) (patch (.f64 #s(literal -1/2 binary64) K) #<representation binary64>) () ())) ())
#s(alt (* -1/2 K) (taylor inf K) (#s(alt (.f64 #s(literal -1/2 binary64) K) (patch (.f64 #s(literal -1/2 binary64) K) #<representation binary64>) () ())) ())
#s(alt (* -1/2 K) (taylor -inf K) (#s(alt (.f64 #s(literal -1/2 binary64) K) (patch (.f64 #s(literal -1/2 binary64) K) #<representation binary64>) () ())) ())
#s(alt (* -1/2 K) (taylor -inf K) (#s(alt (.f64 #s(literal -1/2 binary64) K) (patch (.f64 #s(literal -1/2 binary64) K) #<representation binary64>) () ())) ())
#s(alt (* -1/2 K) (taylor -inf K) (#s(alt (.f64 #s(literal -1/2 binary64) K) (patch (.f64 #s(literal -1/2 binary64) K) #<representation binary64>) () ())) ())
#s(alt (* -1/2 K) (taylor -inf K) (#s(alt (.f64 #s(literal -1/2 binary64) K) (patch (.f64 #s(literal -1/2 binary64) K) #<representation binary64>) () ())) ())

Calls

141 calls:

Time	Variable		Expression
4.0ms	U	@	(/ (* (/ (* U -1/2) J) (/ (* U -1/2) J)) (+ (* (cos K) 1/2) 1/2))
2.0ms	K	@	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
1.0ms	J	@	(* (* (sqrt (+ (/ (* (/ (* U -1/2) J) (/ (* U -1/2) J)) (+ (* (cos K) 1/2) 1/2)) 1)) (* J -2)) (cos (* -1/2 K)))
1.0ms	K	@	(* U (/ (cos (* K 1/2)) (cos (* -1/2 K))))
1.0ms	J	@	(/ (* (/ (* U -1/2) J) (/ (* U -1/2) J)) (+ (* (cos K) 1/2) 1/2))

simplify282.0ms (2.6%)

Memory

74.8MiB live, 496.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 099×	`lower-fma.f64`
4 099×	`lower-fma.f32`
3 390×	`lower-*.f64`
3 390×	`lower-*.f32`
2 772×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	912	15196
1	3049	14837
0	8439	13937

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 546

Calls

Call 1

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

Outputs
(* 1/4 (/ (pow U 2) (pow J 2)))
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(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))
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(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))
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(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
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(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
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(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
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(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
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(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
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(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
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(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
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(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 13/2880 binary64) (.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/24 binary64)) (.f64 J J)) #s(literal 1/4 binary64))) (.f64 K K) (/.f64 (.f64 (.f64 U U) #s(literal -1/24 binary64)) (.f64 J J)))) (.f64 K K) (/.f64 (.f64 (.f64 U U) #s(literal 1/16 binary64)) (.f64 J J))) (.f64 K K) (/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
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(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
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1
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U
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(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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(* -1 (/ U (cos (* 1/2 K))))
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(* U (- (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 3)) (pow U 4)))) (/ 1 (cos (* 1/2 K)))))
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(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 3)) (pow U 4))))) (/ 1 (cos (* 1/2 K)))))
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(/ U (cos (* 1/2 K)))
(/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (/ 1 (cos (* 1/2 K))))))
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(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 3)) (pow U 4)))) (/ 1 (cos (* 1/2 K))))))
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(* -1 (/ U (cos (* 1/2 K))))
(/.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (/ U (cos (* 1/2 K)))))
(fma.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J)) U) #s(literal -2 binary64) (/.f64 (neg.f64 U) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(+ (* -1 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))))))
(fma.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 U U) U))) #s(literal 2 binary64) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) U) #s(literal -2 binary64))) (.f64 J J) (/.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(+ (* -1 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)) (pow.f64 U #s(literal 5 binary64)))) #s(literal -4 binary64) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 U U) U)) #s(literal 2 binary64))) (.f64 J J) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) U) #s(literal -2 binary64))) (.f64 J J) (/.f64 (neg.f64 U) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(* J (- (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 2))
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(* J (- (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) 2))
(.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))) #s(literal 1/64 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal -1/4 binary64) #s(literal -2 binary64))) J)
(* J (- (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) 2))
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(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
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(* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
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(* J (- (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) 2))
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(* -2 J)
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(.f64 (neg.f64 J) (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal -1/64 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) (*.f64 U U) #s(literal 2 binary64))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))))
(.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal -1/64 binary64) (.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal 1/512 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) (*.f64 U U) #s(literal 2 binary64))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -1/16 (* (/ (* (pow K 2) (pow U 2)) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 K K) (/.f64 (.f64 U U) J))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1 (* (* J (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* -1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 U U) J) (neg.f64 (.f64 (.f64 J (.f64 K K)) (fma.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/24 binary64)) (.f64 J J)) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (.f64 (pow.f64 J #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))))))) (.f64 K K) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* -1 (* (* J (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* -1 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(fma.f64 (fma.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 13/2880 binary64) (.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/24 binary64)) (.f64 J J)) #s(literal 1/4 binary64))) #s(literal -1/4 binary64) (.f64 #s(literal -1/32 binary64) (.f64 (.f64 U U) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/24 binary64)) (.f64 J J)) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (.f64 (pow.f64 J #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 J J)))))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/24 binary64)) (.f64 J J)) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (.f64 (pow.f64 J #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) J)))) (.f64 K K) (.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 U U) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) (.f64 K K) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) (*.f64 U U) #s(literal 1 binary64))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) (*.f64 U U) #s(literal 1 binary64))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) (*.f64 U U) #s(literal 1 binary64))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) (*.f64 U U) #s(literal 1 binary64))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) (*.f64 U U) #s(literal 1 binary64))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) (*.f64 U U) #s(literal 1 binary64))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) (*.f64 U U) #s(literal 1 binary64))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) (*.f64 U U) #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow K 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 K K) #s(literal 1/48 binary64)) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow U 2)
(*.f64 U U)
(pow U 2)
(*.f64 U U)
(pow U 2)
(*.f64 U U)
(pow U 2)
(*.f64 U U)
(pow U 2)
(*.f64 U U)
(pow U 2)
(*.f64 U U)
(pow U 2)
(*.f64 U U)
(pow U 2)
(*.f64 U U)
(pow U 2)
(*.f64 U U)
(pow U 2)
(*.f64 U U)
(pow U 2)
(*.f64 U U)
(pow U 2)
(*.f64 U U)
(* -1/2 K)
(*.f64 #s(literal -1/2 binary64) K)
(* -1/2 K)
(*.f64 #s(literal -1/2 binary64) K)
(* -1/2 K)
(*.f64 #s(literal -1/2 binary64) K)
(* -1/2 K)
(*.f64 #s(literal -1/2 binary64) K)
(* -1/2 K)
(*.f64 #s(literal -1/2 binary64) K)
(* -1/2 K)
(*.f64 #s(literal -1/2 binary64) K)
(* -1/2 K)
(*.f64 #s(literal -1/2 binary64) K)
(* -1/2 K)
(*.f64 #s(literal -1/2 binary64) K)
(* -1/2 K)
(*.f64 #s(literal -1/2 binary64) K)
(* -1/2 K)
(*.f64 #s(literal -1/2 binary64) K)
(* -1/2 K)
(*.f64 #s(literal -1/2 binary64) K)
(* -1/2 K)
(*.f64 #s(literal -1/2 binary64) K)

rewrite224.0ms (2%)

Memory

-20.9MiB live, 359.6MiB allocated

Rules

2 113×	`lower-*.f32`
2 101×	`lower-*.f64`
2 046×	`lower-/.f32`
2 041×	`lower-/.f64`
1 056×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	355
0	88	320
1	316	294
2	2014	294
0	8259	293

Stop Event

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

Counts

25 → 675

Calls

Call 1

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

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

eval169.0ms (1.5%)

Memory: 39.4MiB live, 344.2MiB allocated
Compiler: Compiled 35 405 to 3 069 computations (91.3% saved)

prune289.0ms (2.6%)

Memory

-60.0MiB live, 304.2MiB allocated

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	1 337	8	1 345
Fresh	15	15	30
Picked	4	1	5
Done	1	2	3
Total	1 357	26	1 383

Accuracy

99.9%

Counts

1 383 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.0%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	23.4%	(.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 0 binary64) (.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 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
	39.5%	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
✓	74.4%	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64)))))
	74.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) J) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1 binary64))))
	30.7%	(.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 U (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) J))))
	74.4%	(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) J)) (.f64 #s(literal -1/2 binary64) (/.f64 U J)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
	70.5%	(.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) U) (/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) J))) J) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
	52.7%	(.f64 (.f64 (sqrt.f64 #s(approx (+ (/ (* (/ (* U -1/2) J) (/ (* U -1/2) J)) (+ (* (cos K) 1/2) 1/2)) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) (.f64 U U) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
	46.1%	(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (* (/ U (* J J)) U)) 1)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
	36.8%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 (/.f64 U J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
	22.4%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
	27.2%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) #s(literal 1 binary64))))
	23.1%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (fma.f64 (.f64 (.f64 (.f64 J K) K) (.f64 (.f64 J K) K)) #s(literal 1/16 binary64) (neg.f64 (.f64 #s(literal 4 binary64) (.f64 J J)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J (.f64 #s(literal 2 binary64) J))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
	26.3%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
	38.1%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
✓	51.5%	(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
	27.2%	(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))
	27.4%	(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))))
	27.2%	(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
	29.4%	(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)))
	40.3%	#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (fma.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 (.f64 J J) J) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)))) #s(literal 1/64 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (*.f64 U U))))
	50.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) U) U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
✓	40.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	13.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64))))
	51.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))))))) (.f64 (neg.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))

Compiler

Compiled 2 178 to 725 computations (66.7% saved)

regimes134.0ms (1.2%)

Memory

21.5MiB live, 214.2MiB allocated

Counts

70 → 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 (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (fma.f64 #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 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (neg.f64 U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) #s(literal 1 binary64))))
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#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (fma.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 (.f64 J J) J) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)))) #s(literal 1/64 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (*.f64 U U))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (sqrt.f64 (-.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 -4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64)))))))))))

Outputs

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

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

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

Calls

6 calls:

25.0ms	J
25.0ms	U
22.0ms	(/.f64 K #s(literal 2 binary64))
20.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
19.0ms	K

Results

Accuracy	Segments	Branch
85.7%	2	`J`
74.5%	1	`K`
89.3%	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)))))`
74.5%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
74.5%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes25.0ms (0.2%)

Memory

-23.7MiB live, 46.8MiB allocated

Counts

64 → 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 (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (fma.f64 #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 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (neg.f64 U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) #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 0 binary64) (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (.f64 U U) U) (*.f64 (neg.f64 U) U)))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (-.f64 #s(literal 0 binary64) (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 (neg.f64 U) U) (.f64 (.f64 U U) U)) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (.f64 (.f64 U U) (.f64 U U))) (.f64 (*.f64 U U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #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 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 U U) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 (/.f64 U J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 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 (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #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)))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (fma.f64 (.f64 (.f64 (.f64 J K) K) (.f64 (.f64 J K) K)) #s(literal 1/16 binary64) (neg.f64 (.f64 #s(literal 4 binary64) (.f64 J J)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J (.f64 #s(literal 2 binary64) J))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (* (/ U (* J J)) U)) 1)) (.f64 (/.f64 U J) #s(literal 1/2 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (/ (* 1/2 U) (* (cos (* K 1/2)) J)) (*.f64 (/.f64 #s(literal 1/2 binary64) J) U))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (* (/ U (* J J)) U)) 1)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (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 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (.f64 U (/.f64 U J)) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 J J)) (.f64 U U) #s(literal 1 binary64)))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (/.f64 U J) J) U) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 (/.f64 U J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))))))) (.f64 (neg.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
#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 J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) U) U) (.f64 (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 #s(literal -1/2 binary64) U) (.f64 (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 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U ( (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (.f64 (/.f64 U (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))))))) (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) (*.f64 U U) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(approx (+ (/ (* (/ (* U -1/2) J) (/ (* U -1/2) J)) (+ (* (cos K) 1/2) 1/2)) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) (.f64 U U) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 ( U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) J)) (.f64 #s(literal -1/2 binary64) (/.f64 U J)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) U) (/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) J))) J) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 J (fma.f64 #s(literal -1/192 binary64) (.f64 K K) #s(literal 1/4 binary64))) (.f64 K K) (.f64 J #s(literal -2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) J) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64))) J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (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 U (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)))))))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 0 binary64) (.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 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)) U) #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 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 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 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64)))))

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

Calls

1 calls:

16.0ms

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

Results

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

regimes22.0ms (0.2%)

Memory

8.5MiB live, 43.5MiB allocated

Counts

62 → 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 (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (fma.f64 #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 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (neg.f64 U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) #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 0 binary64) (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (.f64 U U) U) (*.f64 (neg.f64 U) U)))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (-.f64 #s(literal 0 binary64) (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 (neg.f64 U) U) (.f64 (.f64 U U) U)) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (.f64 (.f64 U U) (.f64 U U))) (.f64 (*.f64 U U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #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 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 U U) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 (/.f64 U J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 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 (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #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)))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (fma.f64 (.f64 (.f64 (.f64 J K) K) (.f64 (.f64 J K) K)) #s(literal 1/16 binary64) (neg.f64 (.f64 #s(literal 4 binary64) (.f64 J J)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J (.f64 #s(literal 2 binary64) J))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (* (/ U (* J J)) U)) 1)) (.f64 (/.f64 U J) #s(literal 1/2 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (/ (* 1/2 U) (* (cos (* K 1/2)) J)) (*.f64 (/.f64 #s(literal 1/2 binary64) J) U))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (* (/ U (* J J)) U)) 1)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (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 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (.f64 U (/.f64 U J)) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 J J)) (.f64 U U) #s(literal 1 binary64)))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (/.f64 U J) J) U) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 (/.f64 U J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))))))) (.f64 (neg.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
#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 J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) U) U) (.f64 (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 #s(literal -1/2 binary64) U) (.f64 (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 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U ( (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (.f64 (/.f64 U (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))))))) (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) (*.f64 U U) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(approx (+ (/ (* (/ (* U -1/2) J) (/ (* U -1/2) J)) (+ (* (cos K) 1/2) 1/2)) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) (.f64 U U) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 ( U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) J)) (.f64 #s(literal -1/2 binary64) (/.f64 U J)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) U) (/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) J))) J) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 J (fma.f64 #s(literal -1/192 binary64) (.f64 K K) #s(literal 1/4 binary64))) (.f64 K K) (.f64 J #s(literal -2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) J) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64))) J) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 U #s(literal -1/2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (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 U (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)))))))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 0 binary64) (.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 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))

Outputs

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

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

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

Calls

1 calls:

18.0ms

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

Results

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

regimes47.0ms (0.4%)

Memory

14.8MiB live, 66.5MiB allocated

Counts

54 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (fma.f64 #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 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (neg.f64 U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) #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 0 binary64) (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (.f64 U U) U) (*.f64 (neg.f64 U) U)))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (-.f64 #s(literal 0 binary64) (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 (neg.f64 U) U) (.f64 (.f64 U U) U)) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (.f64 (.f64 U U) (.f64 U U))) (.f64 (*.f64 U U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #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 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 U U) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 (/.f64 U J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 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 (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #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)))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (fma.f64 (.f64 (.f64 (.f64 J K) K) (.f64 (.f64 J K) K)) #s(literal 1/16 binary64) (neg.f64 (.f64 #s(literal 4 binary64) (.f64 J J)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J (.f64 #s(literal 2 binary64) J))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (* (/ U (* J J)) U)) 1)) (.f64 (/.f64 U J) #s(literal 1/2 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (/ (* 1/2 U) (* (cos (* K 1/2)) J)) (*.f64 (/.f64 #s(literal 1/2 binary64) J) U))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (* (/ U (* J J)) U)) 1)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (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 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (.f64 U (/.f64 U J)) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 J J)) (.f64 U U) #s(literal 1 binary64)))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (/.f64 U J) J) U) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 (/.f64 U J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))))))) (.f64 (neg.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
#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 J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) U) U) (.f64 (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 #s(literal -1/2 binary64) U) (.f64 (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 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U ( (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (.f64 (/.f64 U (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))))))) (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) (*.f64 U U) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(approx (+ (/ (* (/ (* U -1/2) J) (/ (* U -1/2) J)) (+ (* (cos K) 1/2) 1/2)) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) (.f64 U U) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 ( U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))

Outputs

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

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

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

Calls

2 calls:

29.0ms

(*.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)))))

15.0ms

Results

Accuracy	Segments	Branch
85.0%	3	`U`
90.6%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes18.0ms (0.2%)

Memory

-3.6MiB live, 32.1MiB allocated

Counts

48 → 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 (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (fma.f64 #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 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (neg.f64 U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) #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 0 binary64) (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (.f64 U U) U) (*.f64 (neg.f64 U) U)))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (-.f64 #s(literal 0 binary64) (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 (neg.f64 U) U) (.f64 (.f64 U U) U)) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (.f64 (.f64 U U) (.f64 U U))) (.f64 (*.f64 U U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #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 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 U U) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 (/.f64 U J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 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 (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #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)))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (fma.f64 (.f64 (.f64 (.f64 J K) K) (.f64 (.f64 J K) K)) #s(literal 1/16 binary64) (neg.f64 (.f64 #s(literal 4 binary64) (.f64 J J)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J (.f64 #s(literal 2 binary64) J))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (* (/ U (* J J)) U)) 1)) (.f64 (/.f64 U J) #s(literal 1/2 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (/ (* 1/2 U) (* (cos (* K 1/2)) J)) (*.f64 (/.f64 #s(literal 1/2 binary64) J) U))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (* (/ U (* J J)) U)) 1)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (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 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (.f64 U (/.f64 U J)) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 J J)) (.f64 U U) #s(literal 1 binary64)))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (/.f64 U J) J) U) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 (/.f64 U J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* U (/ (/ U (* 2 J)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))))))) (.f64 (neg.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
#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 J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) U) U) (.f64 (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 #s(literal -1/2 binary64) U) (.f64 (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 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))

Outputs

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

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

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

Calls

1 calls:

15.0ms

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

Results

Accuracy	Segments	Branch
88.5%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes40.0ms (0.4%)

Memory

-1.3MiB live, 70.5MiB allocated

Counts

39 → 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 (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (fma.f64 #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 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (neg.f64 U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) #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 0 binary64) (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (.f64 U U) U) (*.f64 (neg.f64 U) U)))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (-.f64 #s(literal 0 binary64) (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 (neg.f64 U) U) (.f64 (.f64 U U) U)) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (.f64 (.f64 U U) (.f64 U U))) (.f64 (*.f64 U U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #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 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 U U) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 (/.f64 U J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 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 (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #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)))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (fma.f64 (.f64 (.f64 (.f64 J K) K) (.f64 (.f64 J K) K)) #s(literal 1/16 binary64) (neg.f64 (.f64 #s(literal 4 binary64) (.f64 J J)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J (.f64 #s(literal 2 binary64) J))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (* (/ U (* J J)) U)) 1)) (.f64 (/.f64 U J) #s(literal 1/2 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (/ (* 1/2 U) (* (cos (* K 1/2)) J)) (*.f64 (/.f64 #s(literal 1/2 binary64) J) U))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (* (/ U (* J J)) U)) 1)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (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 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (.f64 U (/.f64 U J)) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 J J)) (.f64 U U) #s(literal 1 binary64)))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))

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

Calls

3 calls:

14.0ms

13.0ms

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

11.0ms

Results

Accuracy	Segments	Branch
73.4%	3	`U`
72.8%	2	`J`
85.5%	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 35 to 23 computations (34.3% saved)

regimes22.0ms (0.2%)

Memory

-15.3MiB live, 23.5MiB allocated

Counts

38 → 5

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 (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (fma.f64 #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 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (neg.f64 U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) #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 0 binary64) (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (.f64 U U) U) (*.f64 (neg.f64 U) U)))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (-.f64 #s(literal 0 binary64) (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 (neg.f64 U) U) (.f64 (.f64 U U) U)) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (.f64 (.f64 U U) (.f64 U U))) (.f64 (*.f64 U U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #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 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 U U) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 (/.f64 U J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 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 (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #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)))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (fma.f64 (.f64 (.f64 (.f64 J K) K) (.f64 (.f64 J K) K)) #s(literal 1/16 binary64) (neg.f64 (.f64 #s(literal 4 binary64) (.f64 J J)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) J (.f64 #s(literal 2 binary64) J))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal 1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (* (/ U (* J J)) U)) 1)) (.f64 (/.f64 U J) #s(literal 1/2 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (/ (* 1/2 U) (* (cos (* K 1/2)) J)) (*.f64 (/.f64 #s(literal 1/2 binary64) J) U))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (* (/ U (* J J)) U)) 1)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (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 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (.f64 U (/.f64 U J)) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 J J)) (.f64 U U) #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)) (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 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #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 (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64))))

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
81.6%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes62.0ms (0.6%)

Memory

23.2MiB live, 128.2MiB allocated

Counts

29 → 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 (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (fma.f64 #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 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (neg.f64 U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) #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 0 binary64) (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (.f64 U U) U) (*.f64 (neg.f64 U) U)))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (-.f64 #s(literal 0 binary64) (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 (neg.f64 U) U) (.f64 (.f64 U U) U)) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (.f64 (.f64 U U) (.f64 U U))) (.f64 (*.f64 U U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #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 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 U U) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 (/.f64 U J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 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 (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #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 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))

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

Calls

6 calls:

14.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
13.0ms	K
9.0ms	U
8.0ms	(/.f64 K #s(literal 2 binary64))
8.0ms	J

Results

Accuracy	Segments	Branch
53.6%	2	`U`
56.5%	2	`J`
50.5%	3	`K`
50.5%	3	`(/.f64 K #s(literal 2 binary64))`
59.7%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
70.5%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes8.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

22 → 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 (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (fma.f64 #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 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (neg.f64 U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) #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 0 binary64) (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (.f64 U U) U) (*.f64 (neg.f64 U) U)))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (-.f64 #s(literal 0 binary64) (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 (neg.f64 U) U) (.f64 (.f64 U U) U)) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (.f64 (.f64 U U) (.f64 U U))) (.f64 (*.f64 U U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) J) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (* U (/ U (* J J))) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))))))
(.f64 #s(approx ( (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))

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

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
64.4%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes15.0ms (0.1%)

Memory

-29.5MiB live, 16.3MiB 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 (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (*.f64 U #s(approx (/ (cos (* K 1/2)) (cos (* -1/2 K))) #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 (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (*.f64 U #s(approx (/ (cos (* K 1/2)) (cos (* -1/2 K))) #s(literal 1 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	J
1.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms	U

Results

Accuracy	Segments	Branch
40.4%	1	`U`
40.4%	1	`J`
51.9%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
51.9%	2	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 42 to 29 computations (31% saved)

regimes7.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB 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:

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

Results

Accuracy	Segments	Branch
40.4%	1	`U`
40.4%	1	`K`
40.4%	1	`(/.f64 K #s(literal 2 binary64))`
40.4%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
40.4%	1	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 48 to 34 computations (29.2% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.159937595732976e+306	+inf
0.0ms	-inf	-2.7343248600293218e+306

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.159937595732976e+306	+inf
0.0ms	-inf	-2.7343248600293218e+306

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.159937595732976e+306	+inf
0.0ms	-inf	-2.7343248600293218e+306

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0129415190638135e+292	3.1320538000950703e+299
0.0ms	-inf	-2.7343248600293218e+306

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0129415190638135e+292	3.1320538000950703e+299
0.0ms	-inf	-2.7343248600293218e+306

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0129415190638135e+292	3.1320538000950703e+299
0.0ms	-2.752623012481948e-139	-6.464613366163776e-140
0.0ms	-inf	-2.7343248600293218e+306

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.0129415190638135e+292	3.1320538000950703e+299
0.0ms	-2.752623012481948e-139	-6.464613366163776e-140
0.0ms	-7.39963751810238e+51	-5.582750759278239e+45
0.0ms	-inf	-2.7343248600293218e+306

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-3.77852067755701e-162	-1.346665414509783e-165
0.0ms	-inf	-2.7343248600293218e+306

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-1.1645518658225725e-264	1.828236933642994e-260
0.0ms	-7.420783442366737e-11	-1.0406748432126391e-11
0.0ms	-inf	-2.7343248600293218e+306

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.1645518658225725e-264	1.828236933642994e-260

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify16.0ms (0.1%)

Memory

-8.8MiB live, 30.4MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
4×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	1712
1	186	1712
2	188	1712
3	189	1712

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 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 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 (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -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 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) (.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)) U) #s(literal 2 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -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 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) J)) (.f64 #s(literal -1/2 binary64) (/.f64 U J)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -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 20000000000000000265131979567148325361373122179172920071264062955884985453808506429231958836078724999454749277131784181976245949300014051569103476605493463371814790630510549293722116375116429235158992403665324705171077671147273195044215123421883037120057498753668190357102577928230111451021312 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 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -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 20000000000000000265131979567148325361373122179172920071264062955884985453808506429231958836078724999454749277131784181976245949300014051569103476605493463371814790630510549293722116375116429235158992403665324705171077671147273195044215123421883037120057498753668190357102577928230111451021312 binary64)) (.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (/.f64 U J) J) U) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -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 -5363123171977039/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192 binary64)) (.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 20000000000000000265131979567148325361373122179172920071264062955884985453808506429231958836078724999454749277131784181976245949300014051569103476605493463371814790630510549293722116375116429235158992403665324705171077671147273195044215123421883037120057498753668190357102577928230111451021312 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 (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64)))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -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 -4999999999999999966104743371808139882308542209720320 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))))) (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 -5363123171977039/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192 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)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 20000000000000000265131979567148325361373122179172920071264062955884985453808506429231958836078724999454749277131784181976245949300014051569103476605493463371814790630510549293722116375116429235158992403665324705171077671147273195044215123421883037120057498753668190357102577928230111451021312 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 (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64))))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -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 -8104522595470689/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224 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)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -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 -7737125245533627/154742504910672534362390528 binary64)) (.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -283625966735417/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 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 (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64)))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -283625966735417/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 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 (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64)))))
#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 (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 (.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #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 (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 (.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -8104522595470689/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64)) U))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #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 -7737125245533627/154742504910672534362390528 binary64)) (.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -2)) (.f64 J #s(literal -2 binary64))) #s(approx (cos ( -1/2 K)) #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -283625966735417/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 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 (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 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 (.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #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 (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 (.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -7737125245533627/154742504910672534362390528 binary64)) (.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J -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 (.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -283625966735417/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 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 (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64)) U)))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -283625966735417/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 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 (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 U #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 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 (.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -283625966735417/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 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 (* (/ 1/2 (* (cos (* K -1/2)) J)) U) 2)))) (.f64 #s(approx (/ (cos ( K 1/2)) (cos (* -1/2 K))) #s(literal 1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

soundness1.4s (12.7%)

Memory

17.5MiB live, 1 309.1MiB allocated

Rules

7 550×	`lower-fma.f64`
7 550×	`lower-fma.f32`
4 546×	`lower-fma.f64`
4 546×	`lower-fma.f32`
4 109×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	477
0	130	468
1	443	448
2	3152	427
0	8262	423
0	389	4135
1	1271	4017
2	5051	3871
0	8531	3709
0	912	15196
1	3049	14837
0	8439	13937
0	61	415
0	99	415
1	303	384
2	1863	368
0	8736	351
0	928	18451
1	3057	17804
0	8306	16787
0	17	76
0	28	76
1	79	76
2	432	76
3	4364	76
0	8129	76
0	1094	18433
1	3584	17892
0	8009	16920
0	61	355
0	88	320
1	316	294
2	2014	294
0	8259	293

Stop Event

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

Compiler

Compiled 2 355 to 920 computations (60.9% saved)

preprocess97.0ms (0.9%)

Memory

24.3MiB live, 212.1MiB allocated

Remove

(negabs J)

(abs K)

Compiler

Compiled 2 594 to 444 computations (82.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze298.0ms (2.7%)

sample2.0s (18.5%)

explain351.0ms (3.2%)

preprocess97.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify66.0ms (0.6%)

localize91.0ms (0.8%)

series54.0ms (0.5%)

simplify276.0ms (2.5%)

rewrite189.0ms (1.7%)

eval96.0ms (0.9%)

prune110.0ms (1%)

simplify150.0ms (1.4%)

localize199.0ms (1.8%)

series127.0ms (1.2%)

simplify370.0ms (3.4%)

rewrite322.0ms (2.9%)

eval388.0ms (3.5%)

prune290.0ms (2.6%)

simplify160.0ms (1.5%)

localize299.0ms (2.7%)

series92.0ms (0.8%)

simplify271.0ms (2.5%)

rewrite242.0ms (2.2%)

eval391.0ms (3.6%)

prune628.0ms (5.7%)

simplify242.0ms (2.2%)

localize185.0ms (1.7%)

series89.0ms (0.8%)

simplify282.0ms (2.6%)

rewrite224.0ms (2%)

eval169.0ms (1.5%)

prune289.0ms (2.6%)

regimes134.0ms (1.2%)

regimes25.0ms (0.2%)

regimes22.0ms (0.2%)

regimes47.0ms (0.4%)

regimes18.0ms (0.2%)

regimes40.0ms (0.4%)

regimes22.0ms (0.2%)

regimes62.0ms (0.6%)

regimes8.0ms (0.1%)

regimes15.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify16.0ms (0.1%)

soundness1.4s (12.7%)

preprocess97.0ms (0.9%)

end0.0ms (0%)

Profiling