Metrics for Maksimov and Kolovsky, Equation (3)

analyze283.0ms (2.4%)

Memory

29.9MiB live, 434.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.6s (13.9%)

Memory

1.6MiB live, 2 263.2MiB allocated

Samples

1.3s

8 256×

valid

Precisions

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

ival-mult: 331.0ms (31.9% of total)

ival-cos: 280.0ms (27% of total)

ival-div: 218.0ms (21% of total)

ival-pow2: 96.0ms (9.3% of total)

ival-sqrt: 55.0ms (5.3% of total)

ival-add: 41.0ms (4% of total)

...in/eval/compile.rkt:110:19: 7.0ms (0.7% of total)

ival-true: 6.0ms (0.6% of total)

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

Bogosity

preprocess122.0ms (1%)

Memory

21.6MiB live, 140.6MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

Outputs

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

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

Call 2

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

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

Symmetry

(abs K)

(abs U)

(negabs J)

explain265.0ms (2.2%)

Memory

4.4MiB live, 560.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
53	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))))`
20	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	123	(6.039197158859543e-32 6.354621581434031e+291 3.269243057424116e-32)	-	`(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	123	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	53	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	20
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	20
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	73
↳	`(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))`	overflow	1
↳	`(+.f64 #s(literal 1 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	73
↳	`(*.f64 #s(literal 2 binary64) J)`	overflow	1
`*.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**	20	0

Confusion

	Predicted +	Predicted -
+	73	0
-	96	87

Precision

0.4319526627218935

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	73	0	0
-	96	0	87

Precision?

0.4319526627218935

Recall?

1.0

Freqs

test

number	freq
0	87
1	142
2	27

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

90.0ms

512×

valid

Compiler

Compiled 278 to 72 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-sqrt: 25.0ms (37.4% of total)

ival-mult: 14.0ms (21% of total)

ival-cos: 13.0ms (19.5% of total)

ival-div: 7.0ms (10.5% of total)

ival-pow2: 4.0ms (6% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

eval0.0ms (0%)

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

prune5.0ms (0%)

Memory

-36.3MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 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

▶

72.9%

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

Compiler

Compiled 27 to 17 computations (37% saved)

simplify52.0ms (0.4%)

Memory

9.1MiB live, 88.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize69.0ms (0.6%)

Memory

-32.9MiB live, 118.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	99.7%	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
✓	accuracy	92.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
✓	accuracy	80.7%	(sqrt.f64 (+.f64 #s(literal 1 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

43.0ms

256×

valid

Compiler

Compiled 112 to 19 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 19.0ms (59.1% of total)

ival-cos: 5.0ms (15.6% of total)

ival-div: 3.0ms (9.3% of total)

ival-sqrt: 2.0ms (6.2% of total)

ival-pow2: 2.0ms (6.2% of total)

ival-add: 1.0ms (3.1% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series37.0ms (0.3%)

Memory

-0.8MiB live, 73.4MiB allocated

Counts

6 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
4.0ms	J	@	0	(* (* -2 J) (cos (/ K 2)))
4.0ms	K	@	0	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
4.0ms	K	@	inf	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
3.0ms	J	@	0	(* -2 J)
2.0ms	K	@	-inf	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))

rewrite354.0ms (3%)

Memory

20.3MiB live, 562.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 306

Calls

Call 1

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

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

simplify623.0ms (5.3%)

Memory

57.0MiB live, 1 187.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval337.0ms (2.9%)

Memory: -166.6MiB live, 166.9MiB allocated
Compiler: Compiled 16 648 to 1 820 computations (89.1% saved)

prune64.0ms (0.5%)

Memory

0.8MiB live, 160.1MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	470	10	480
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	471	10	481

Accuracy

99.9%

Counts

481 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.5%	(-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 #s(literal -2 binary64) (.f64 J J))) U)
	43.9%	(-.f64 #s(literal 0 binary64) U)
	47.6%	(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
	36.6%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
▶	72.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (.f64 J #s(literal 2 binary64)) U)))))) J)
	36.2%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U))))))
▶	61.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64)))))
	30.4%	(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 J J)))) (*.f64 #s(literal -2 binary64) J))
▶	49.2%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
▶	12.3%	U

Compiler

Compiled 454 to 294 computations (35.2% saved)

simplify272.0ms (2.3%)

Memory

-21.5MiB live, 383.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	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) #s(literal 1 binary64))) #s(literal 2 binary64)))))
✓	cost-diff	128	(.f64 (.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))
✓	cost-diff	6208	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64))
✓	cost-diff	0	(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
✓	cost-diff	0	(.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 #s(literal -2 binary64) (.f64 J J)))
✓	cost-diff	0	(-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 #s(literal -2 binary64) (.f64 J J))) U)
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) J)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) K)
✓	cost-diff	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓	cost-diff	0	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
✓	cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))))))
✓	cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (.f64 J #s(literal 2 binary64)) U)))))) J)
✓	cost-diff	256	(*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))
✓	cost-diff	256	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (.f64 J #s(literal 2 binary64)) U))

Rules

6 822×	`-lowering-.f32`
6 822×	`-lowering-.f64`
5 290×	`accelerator-lowering-fma.f32`
5 290×	`accelerator-lowering-fma.f64`
2 594×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	379
1	99	379
2	255	337
3	809	319
4	2026	319
5	4589	319
6	6104	319
0	8296	308

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize176.0ms (1.5%)

Memory

3.7MiB live, 233.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	99.6%	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64))
✓	accuracy	92.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64)))))
✓	accuracy	80.7%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64))))
✓	accuracy	100.0%	(.f64 #s(literal -2 binary64) (.f64 J J))
✓	accuracy	99.8%	(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
✓	accuracy	99.6%	(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓	accuracy	87.4%	(.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 #s(literal -2 binary64) (.f64 J J)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) K)
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) J)
✓	accuracy	100.0%	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓	accuracy	99.8%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
✓	accuracy	99.8%	(/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)))
✓	accuracy	99.3%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))
✓	accuracy	92.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (.f64 J #s(literal 2 binary64)) U)))))) J)
✓	accuracy	80.7%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)))))

Samples

106.0ms

256×

valid

Compiler

Compiled 397 to 43 computations (89.2% saved)

Precisions

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

ival-mult: 44.0ms (52.5% of total)

ival-cos: 14.0ms (16.7% of total)

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

ival-pow2: 8.0ms (9.6% of total)

ival-add: 3.0ms (3.6% of total)

ival-sqrt: 3.0ms (3.6% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series73.0ms (0.6%)

Memory

1.3MiB live, 118.0MiB allocated

Counts

21 → 504

Calls

Call 1

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

Outputs
#<alt (* 2 (/ J U))>
#<alt (+ (* -1/2 (/ (* J (pow K 2)) U)) (* 2 (/ J U)))>
#<alt (+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* 1/24 (/ (* J (pow K 2)) U)))))>
#<alt (+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* (pow K 2) (+ (* -1/720 (/ (* J (pow K 2)) U)) (* 1/24 (/ J U)))))))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
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#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))>
#<alt (+ 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))))))>
#<alt (* 1/2 (/ U J))>
#<alt (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1/2 (/ U J))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))>
#<alt (* 1/2 (/ U J))>
#<alt (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))>

Calls

126 calls:

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

rewrite365.0ms (3.1%)

Memory

1.6MiB live, 553.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 438×	`accelerator-lowering-fma.f32`
4 438×	`accelerator-lowering-fma.f64`
4 068×	`-lowering-.f32`
4 068×	`-lowering-.f64`
3 562×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	254
1	210	216
2	1493	210
0	8377	200

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 659

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 #s(literal 2 binary64) (/.f64 U J)) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (/.f64 U J)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(+.f64 (.f64 (/.f64 #s(literal 2 binary64) (/.f64 U J)) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 U J)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (/.f64 U J))) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (/.f64 #s(literal 2 binary64) (/.f64 U J))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) (/.f64 #s(literal 2 binary64) (/.f64 U J))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (/.f64 U J))))
(exp.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))) (log.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 U (.f64 #s(literal 2 binary64) J))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 K) #s(literal 2 binary64)))) (/.f64 U (.f64 #s(literal 2 binary64) J))) (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) K))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 K) #s(literal 2 binary64)))) (/.f64 U (*.f64 #s(literal 2 binary64) J))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (/.f64 U J)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) (/.f64 #s(literal 2 binary64) (/.f64 U J))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) (/.f64 #s(literal 2 binary64) (/.f64 U J)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (/.f64 U J))))
(fma.f64 (/.f64 #s(literal 2 binary64) (/.f64 U J)) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (/.f64 U J)) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(fma.f64 (/.f64 #s(literal 2 binary64) (/.f64 U J)) (.f64 #s(literal 1/2 binary64) (cos.f64 K)) (.f64 (/.f64 #s(literal 2 binary64) (/.f64 U J)) #s(literal 1/2 binary64)))
(neg.f64 (/.f64 (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 U (.f64 #s(literal 2 binary64) J))))
(neg.f64 (.f64 (.f64 #s(literal 2 binary64) J) (/.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal -1/2 binary64)) U)))
(/.f64 (/.f64 #s(literal 2 binary64) (/.f64 U J)) (/.f64 #s(literal 1 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 K))) (/.f64 U (.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 #s(literal 1/2 binary64) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal -1/2 binary64)))) U) (.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal -1/2 binary64)))) U)) (.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64))) (*.f64 J #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 K) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) (+.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) K)))) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 K) #s(literal 2 binary64))) U) (.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) K)))) #s(literal -1/4 binary64))) (.f64 #s(literal 2 binary64) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 K) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) U)) (.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) K)))) #s(literal -1/4 binary64))) (.f64 J #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal -1/2 binary64))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 K) #s(literal 2 binary64)))) (+.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) K)))) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 U (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal -1/2 binary64))))) (.f64 (.f64 #s(literal 2 binary64) J) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 U (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 K) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 2 binary64) J) (+.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) K)))) #s(literal -1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal -1/2 binary64))))) (.f64 (.f64 J #s(literal -2 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) #s(literal -1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))))))) (sqrt.f64 (+.f64 (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (*.f64 J J) #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64)))))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) #s(literal -1 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64)))) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64)))))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64)))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (*.f64 J J) #s(literal 4 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (*.f64 J J) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (*.f64 J J) #s(literal 4 binary64))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 U U) (.f64 (*.f64 J J) #s(literal 4 binary64))))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 U U) (.f64 (*.f64 J J) #s(literal 4 binary64))) #s(literal -1 binary64))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 U U) (.f64 (*.f64 J J) #s(literal 4 binary64))) #s(literal -1 binary64)))))))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 U U) (.f64 (*.f64 J J) #s(literal 4 binary64))) #s(literal -1 binary64)))))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (*.f64 J J) #s(literal 4 binary64))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (*.f64 J J) #s(literal 4 binary64)))))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (*.f64 J J) #s(literal 4 binary64)))))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (*.f64 J J) #s(literal 4 binary64)))) #s(literal 1/4 binary64)))

simplify611.0ms (5.2%)

Memory

10.3MiB live, 1 080.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 800×	`accelerator-lowering-fma.f32`
13 800×	`accelerator-lowering-fma.f64`
9 614×	`-lowering-.f32`
9 614×	`-lowering-.f64`
4 488×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	729	10410
1	2415	10160
0	8446	9557

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

Inputs
(* 2 (/ J U))
(+ (* -1/2 (/ (* J (pow K 2)) U)) (* 2 (/ J U)))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* 1/24 (/ (* J (pow K 2)) U)))))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* (pow K 2) (+ (* -1/720 (/ (* J (pow K 2)) U)) (* 1/24 (/ J U)))))))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
K
K
K
K
K
K
K
K
K
K
K
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) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (pow J 2) (+ (* -4 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 2 (* (/ (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
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(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
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Outputs
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow K 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 K K) #s(literal -1/4 binary64)))
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(+.f64 #s(literal 1 binary64) (.f64 (.f64 K K) (+.f64 (.f64 (.f64 K K) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))))
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(+ 1/2 (* 1/2 (cos K)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
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(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
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(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
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(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
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(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
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(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
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(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
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(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
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(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
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(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
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(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
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(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
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(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
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(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (*.f64 J J))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (/.f64 (.f64 (.f64 K K) (.f64 #s(literal 1/16 binary64) (.f64 U U))) (.f64 J J)))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (.f64 (.f64 K K) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 U U)) (.f64 J J)) (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1/96 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))))))))))
(+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (.f64 (.f64 K K) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 U U)) (.f64 J J)) (.f64 K (.f64 K (+.f64 (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/96 binary64)) (.f64 (+.f64 (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 13/2880 binary64)) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/96 binary64))) (.f64 (.f64 K K) #s(literal -1/4 binary64)))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(* -2 (pow J 2))
(.f64 J (.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(.f64 J (.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(.f64 J (.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(.f64 J (.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(.f64 J (.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(.f64 J (.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(.f64 J (.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(.f64 J (.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(.f64 J (.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(.f64 J (.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(.f64 J (.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(.f64 J (.f64 J #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) (*.f64 J J)))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 U U) (+.f64 (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 U U)) (pow.f64 J #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)))))
(+ 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))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 U U) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 J J)) (.f64 (.f64 U U) (-.f64 (/.f64 (.f64 #s(literal 1/1024 binary64) (*.f64 U U)) (pow.f64 J #s(literal 6 binary64))) (/.f64 #s(literal 1/128 binary64) (pow.f64 J #s(literal 4 binary64))))))))
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(.f64 U (-.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (.f64 J (.f64 J J)) (pow.f64 U #s(literal 4 binary64)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(.f64 U (+.f64 (-.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (.f64 J (.f64 J J)) (pow.f64 U #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64)))))
(* -1/2 (/ U J))
(*.f64 #s(literal -1/2 binary64) (/.f64 U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (-.f64 #s(literal 0 binary64) U))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(-.f64 #s(literal 0 binary64) (.f64 U (-.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (.f64 J (.f64 J J)) (pow.f64 U #s(literal 4 binary64))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(-.f64 #s(literal 0 binary64) (.f64 U (+.f64 (-.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (.f64 J (.f64 J J)) (pow.f64 U #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64))))))
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/.f64 (+.f64 (/.f64 (.f64 J J) U) (.f64 U #s(literal 1/2 binary64))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/.f64 (+.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (.f64 J J) (-.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 (.f64 J J) (.f64 U (.f64 U U)))))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
(/.f64 (+.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (.f64 J J) (+.f64 (/.f64 #s(literal 1 binary64) U) (.f64 (.f64 J J) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 J J)) (pow.f64 U #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (.f64 U (*.f64 U U)))))))) J)
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) (*.f64 J J)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) (.f64 J J)) (+.f64 (/.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) (.f64 J J)) (+.f64 (/.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) (*.f64 J J)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) (.f64 J J)) (+.f64 (/.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) (.f64 J J)) (+.f64 (/.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))))

eval217.0ms (1.8%)

Memory: 50.1MiB live, 316.6MiB allocated
Compiler: Compiled 37 415 to 4 216 computations (88.7% saved)

prune292.0ms (2.5%)

Memory

-44.4MiB live, 279.1MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	1 224	13	1 237
Fresh	3	2	5
Picked	3	2	5
Done	0	0	0
Total	1 230	17	1 247

Accuracy

99.9%

Counts

1 247 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.5%	(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J (.f64 J #s(literal -2 binary64)))) (*.f64 U U)) U)
	40.5%	(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 J (.f64 J #s(literal -2 binary64)))) U) U)
	40.5%	(-.f64 (/.f64 (.f64 J (.f64 J #s(literal -2 binary64))) U) U)
	40.5%	(-.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 U (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal -1 binary64))) (.f64 #s(literal -2 binary64) (*.f64 J J))) U)
	43.9%	(-.f64 #s(literal 0 binary64) U)
▶	47.6%	(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
▶	26.0%	(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 J (.f64 K K)) #s(literal 1/4 binary64)))
▶	37.6%	(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
	37.4%	(.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) J))
	51.2%	(.f64 (.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J)
▶	67.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 #s(literal 1/2 binary64) J))) J) (/.f64 #s(literal 2 binary64) U))))) J)
	61.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 J U)))))) J)
	44.0%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) (.f64 J J))))
	61.5%	(.f64 (.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 J U)) #s(literal 4 binary64)))))
✓	49.2%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
▶	27.9%	(*.f64 J #s(literal -2 binary64))
✓	12.3%	U

Compiler

Compiled 597 to 430 computations (28% saved)

simplify604.0ms (5.1%)

Memory

11.0MiB live, 438.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) K)
✓	cost-diff	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓	cost-diff	0	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
✓	cost-diff	0	(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
✓	cost-diff	0	(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
✓	cost-diff	64	(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 J (.f64 K K))
✓	cost-diff	0	(.f64 (.f64 J (*.f64 K K)) #s(literal 1/4 binary64))
✓	cost-diff	0	(*.f64 J #s(literal -2 binary64))
✓	cost-diff	128	(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 J (.f64 K K)) #s(literal 1/4 binary64)))
✓	cost-diff	0	(*.f64 J #s(literal -2 binary64))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 #s(literal 1/2 binary64) J))) J) (/.f64 #s(literal 2 binary64) U)))))
✓	cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 #s(literal 1/2 binary64) J))) J) (/.f64 #s(literal 2 binary64) U))))) J)
✓	cost-diff	256	(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 #s(literal 1/2 binary64) J))

Rules

7 554×	`accelerator-lowering-fma.f32`
7 554×	`accelerator-lowering-fma.f64`
6 386×	`-lowering-.f32`
6 386×	`-lowering-.f64`
3 636×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	338
1	88	336
2	195	320
3	445	304
4	1404	304
5	5020	304
6	6906	304
7	7009	304
8	7023	304
9	7023	304
0	8877	286

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize311.0ms (2.6%)

Memory

-38.4MiB live, 208.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
✓	accuracy	99.9%	(/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓	accuracy	99.8%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
✓	accuracy	86.4%	(/.f64 (*.f64 U U) J)
✓	accuracy	100.0%	(cos.f64 K)
✓	accuracy	99.9%	(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64))
✓	accuracy	99.8%	(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
✓	accuracy	99.3%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
✓	accuracy	100.0%	(*.f64 J #s(literal -2 binary64))
✓	accuracy	100.0%	(.f64 (.f64 J (*.f64 K K)) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 J (.f64 K K)) #s(literal 1/4 binary64)))
✓	accuracy	89.5%	(.f64 J (.f64 K K))
✓	accuracy	100.0%	(*.f64 J #s(literal -2 binary64))
✓	accuracy	99.3%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
✓	accuracy	92.7%	(/.f64 (/.f64 (/.f64 U (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 #s(literal 1/2 binary64) J))) J) (/.f64 #s(literal 2 binary64) U))
✓	accuracy	92.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 #s(literal 1/2 binary64) J))) J) (/.f64 #s(literal 2 binary64) U))))) J)
✓	accuracy	80.7%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 #s(literal 1/2 binary64) J))) J) (/.f64 #s(literal 2 binary64) U))))

Samples

178.0ms

256×

valid

Compiler

Compiled 342 to 43 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-div: 52.0ms (42.1% of total)

ival-sqrt: 33.0ms (26.7% of total)

ival-mult: 19.0ms (15.4% of total)

ival-cos: 14.0ms (11.3% of total)

ival-add: 4.0ms (3.2% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

series45.0ms (0.4%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

21 → 480

Calls

Call 1

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

Outputs
#<alt (* 2 J)>
#<alt (+ (* -1/2 (* J (pow K 2))) (* 2 J))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))>
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#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/24 (pow K 2)) 1/2)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/24 (* -1/720 (pow K 2)))) 1/2)))>
#<alt (cos K)>
#<alt (cos K)>
#<alt (cos K)>
#<alt (cos K)>
#<alt (cos K)>
#<alt (cos K)>
#<alt (cos K)>
#<alt (cos K)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))>
#<alt (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))>
#<alt (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>

Calls

120 calls:

Time	Variable		Point	Expression
15.0ms	K	@	-inf	(+ (* (cos (* 1/2 K)) (* -2 J)) (/ (* -1/4 (/ (* U U) J)) (cos (* 1/2 K))))
1.0ms	J	@	inf	(+ (* J -2) (* (* J (* K K)) 1/4))
1.0ms	K	@	0	(+ (* (cos (* 1/2 K)) (* -2 J)) (/ (* -1/4 (/ (* U U) J)) (cos (* 1/2 K))))
1.0ms	J	@	0	(* (pow (+ 1/2 (* 1/2 (cos K))) 1/2) (* -2 J))
1.0ms	K	@	inf	(+ (* (cos (* 1/2 K)) (* -2 J)) (/ (* -1/4 (/ (* U U) J)) (cos (* 1/2 K))))

rewrite547.0ms (4.6%)

Memory

25.4MiB live, 728.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 574×	`-lowering-.f32`
5 574×	`-lowering-.f64`
4 168×	`/-lowering-/.f32`
4 168×	`/-lowering-/.f64`
2 754×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	222
1	207	220
2	1577	220
0	8047	207

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 328

Calls

Call 1

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

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

simplify544.0ms (4.6%)

Memory

-22.0MiB live, 1 220.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 374×	`accelerator-lowering-fma.f32`
12 374×	`accelerator-lowering-fma.f64`
8 808×	`-lowering-.f32`
8 808×	`-lowering-.f64`
3 784×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	616	9274
1	2066	9057
0	8089	8445

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

Inputs
(* 2 J)
(+ (* -1/2 (* J (pow K 2))) (* 2 J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
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(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (+ (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))) (* (pow K 2) (+ (* 1/23040 J) (* 1/4 (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
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(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
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(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -2 (* J (cos (* 1/2 K))))
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(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* -1 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 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
(+ 1 (* -1/2 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/24 (pow K 2)) 1/2)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/24 (* -1/720 (pow K 2)))) 1/2)))
(cos K)
(cos K)
(cos K)
(cos K)
(cos K)
(cos K)
(cos K)
(cos K)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) J))
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))

Outputs
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(+ (* -1/2 (* J (pow K 2))) (* 2 J))
(+.f64 (.f64 #s(literal 2 binary64) J) (.f64 J (.f64 #s(literal -1/2 binary64) (.f64 K K))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))
(+.f64 (.f64 #s(literal 2 binary64) J) (.f64 (.f64 K K) (+.f64 (.f64 J #s(literal -1/2 binary64)) (.f64 J (.f64 (*.f64 K K) #s(literal 1/24 binary64))))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))
(+.f64 (.f64 #s(literal 2 binary64) J) (.f64 (.f64 K K) (+.f64 (.f64 J #s(literal -1/2 binary64)) (.f64 (.f64 K K) (+.f64 (.f64 J (.f64 (.f64 K K) #s(literal -1/720 binary64))) (.f64 J #s(literal 1/24 binary64)))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 2 binary64) J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 2 binary64) J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 2 binary64) J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 2 binary64) J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))
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(* -2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
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(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) J))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J)
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))
(+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64))))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))
(+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (.f64 (.f64 K K) (+.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64)) (.f64 K (.f64 K (.f64 (/.f64 (.f64 U U) J) #s(literal -5/1536 binary64)))))))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (.f64 (.f64 K K) (+.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64)) (.f64 (.f64 K K) (+.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -5/1536 binary64)) (.f64 (.f64 (.f64 K K) #s(literal 1/4 binary64)) (+.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -5/3072 binary64)) (.f64 (/.f64 (*.f64 U U) J) #s(literal 7/23040 binary64)))))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))

eval124.0ms (1.1%)

Memory: 16.3MiB live, 326.7MiB allocated
Compiler: Compiled 25 743 to 2 500 computations (90.3% saved)

prune130.0ms (1.1%)

Memory

2.6MiB live, 255.6MiB allocated

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	913	11	924
Fresh	2	8	10
Picked	3	2	5
Done	0	2	2
Total	918	23	941

Accuracy

100.0%

Counts

941 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.5%	(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J (.f64 J #s(literal -2 binary64)))) (*.f64 U U)) U)
	13.1%	(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 K (.f64 K J)) (.f64 K (.f64 K J)))) (.f64 #s(literal 4 binary64) (.f64 J J))) (-.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))))
	8.2%	(/.f64 (+.f64 (.f64 (.f64 J (.f64 J J)) #s(literal -8 binary64)) (.f64 (.f64 (.f64 K (.f64 K J)) (.f64 (.f64 K (.f64 K J)) (.f64 K (.f64 K J)))) #s(literal 1/64 binary64))) (+.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (-.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))))))
	13.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J (-.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))) (.f64 (.f64 J (+.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))) (.f64 J (-.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))))))
	40.5%	(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 J (.f64 J #s(literal -2 binary64)))) U) U)
	40.5%	(-.f64 (/.f64 (.f64 J (.f64 J #s(literal -2 binary64))) U) U)
	40.5%	(-.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 U (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal -1 binary64))) (.f64 #s(literal -2 binary64) (*.f64 J J))) U)
▶	43.9%	(-.f64 #s(literal 0 binary64) U)
	50.3%	(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 U J) U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
▶	46.6%	(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
▶	26.0%	(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 (.f64 K J) K) #s(literal 1/4 binary64)))
	37.4%	(.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) J))
▶	51.2%	(.f64 (.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J)
✓	67.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 #s(literal 1/2 binary64) J))) J) (/.f64 #s(literal 2 binary64) U))))) J)
	44.0%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) (.f64 J J))))
	37.1%	(.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
	37.6%	(.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) J) #s(literal -2 binary64))
	21.1%	(.f64 (.f64 U U) (-.f64 (.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 J (.f64 U U)))) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
✓	49.2%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
	26.0%	(.f64 J (+.f64 (.f64 K (*.f64 K #s(literal 1/4 binary64))) #s(literal -2 binary64)))
	2.6%	(.f64 J (.f64 (*.f64 K K) #s(literal 1/4 binary64)))
✓	27.9%	(*.f64 J #s(literal -2 binary64))
✓	12.3%	U

Compiler

Compiled 872 to 570 computations (34.6% saved)

simplify233.0ms (2%)

Memory

14.6MiB live, 446.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

6 470×	`accelerator-lowering-fma.f32`
6 470×	`accelerator-lowering-fma.f64`
4 604×	`-lowering-.f32`
4 604×	`-lowering-.f64`
1 664×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	343
1	104	343
2	236	328
3	556	327
4	1191	327
5	3513	327
6	5562	327
0	8085	313

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize161.0ms (1.4%)

Memory

-2.7MiB live, 319.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J (.f64 J #s(literal -2 binary64)))) (*.f64 U U))
✓	accuracy	99.9%	(.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J (.f64 J #s(literal -2 binary64))))
✓	accuracy	99.6%	(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
✓	accuracy	71.2%	(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J (.f64 J #s(literal -2 binary64)))) (*.f64 U U)) U)
✓	accuracy	100.0%	(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
✓	accuracy	100.0%	(.f64 #s(literal -1/4 binary64) (.f64 U U))
✓	accuracy	99.8%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
✓	accuracy	86.4%	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J)
✓	accuracy	100.0%	(*.f64 J #s(literal -2 binary64))
✓	accuracy	100.0%	(.f64 (.f64 (*.f64 K J) K) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 (.f64 K J) K) #s(literal 1/4 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 K J) K)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) U)
✓	accuracy	99.3%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
✓	accuracy	92.5%	(.f64 (.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J)
✓	accuracy	80.7%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))))
✓	accuracy	74.1%	(/.f64 (.f64 U U) (.f64 (*.f64 J J) #s(literal 4 binary64)))

Samples

97.0ms

256×

valid

Compiler

Compiled 346 to 48 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 33.0ms (47.2% of total)

ival-cos: 18.0ms (25.8% of total)

ival-div: 7.0ms (10% of total)

ival-add: 4.0ms (5.7% of total)

ival-sub: 2.0ms (2.9% of total)

ival-sqrt: 2.0ms (2.9% of total)

ival-pow2: 2.0ms (2.9% of total)

...in/eval/compile.rkt:110:19: 1.0ms (1.4% of total)

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

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

series59.0ms (0.5%)

Memory

-18.8MiB live, 61.4MiB allocated

Counts

22 → 540

Calls

Call 1

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

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

Calls

135 calls:

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

rewrite529.0ms (4.5%)

Memory

11.5MiB live, 641.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 642×	`-lowering-.f32`
5 642×	`-lowering-.f64`
4 018×	`/-lowering-/.f32`
4 018×	`/-lowering-/.f64`
3 310×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	248
1	223	246
2	1712	228
0	8308	220

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 420

Calls

Call 1

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

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

simplify732.0ms (6.2%)

Memory

-2.8MiB live, 1 156.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 608×	`accelerator-lowering-fma.f32`
13 608×	`accelerator-lowering-fma.f64`
9 312×	`-lowering-.f32`
9 312×	`-lowering-.f64`
3 806×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	663	11151
1	2236	10857
0	8502	10193

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

Inputs
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (pow J 2) (+ (* -4 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 2 (* (/ (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (cos (* 1/2 K)))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(+ (* -2 (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
(* -1 (* (/ (* U (cos (* 1/2 K))) J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -2 (* (/ (* J (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (/ (cos (* 1/2 K)) J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
(* U (+ (* -2 (* (/ (* J (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (/ (cos (* 1/2 K)) J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 3) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))
(* U (+ (* -4 (* (/ (* (pow J 5) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* J (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (/ (cos (* 1/2 K)) J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 3) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* (/ (* U (cos (* 1/2 K))) J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* -1 (* U (+ (* -2 (* (/ (* J (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (/ (cos (* 1/2 K)) J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))
(* -1 (* U (+ (* -2 (* (/ (* J (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (/ (cos (* 1/2 K)) J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 3) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* -1 (* U (+ (* -4 (* (/ (* (pow J 5) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* J (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (/ (cos (* 1/2 K)) J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 3) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))
(* -1 (* (/ (* U (cos (* 1/2 K))) J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(/ (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))) J)
(/ (+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos K))))))))) J)
(/ (+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (pow J 2) (+ (* -4 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 2 (* (/ (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))) J)
(* -2 (cos (* 1/2 K)))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))
(+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(* -2 (cos (* 1/2 K)))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))
(+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(* -2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
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(- (+ (* -2 (pow J 2)) (* (pow K 2) (+ (* 1/2 (pow J 2)) (* (pow K 2) (+ (* -1/24 (pow J 2)) (* 1/720 (* (pow J 2) (pow K 2)))))))) (pow U 2))
(- (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2))
(- (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2))
(- (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2))
(- (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2))
(- (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2))
(- (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2))
(- (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2))
(- (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2))
(* -1 (pow U 2))
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(* (pow U 2) (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
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(* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))
(* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))
(* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))
(* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))
(* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))
(* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))
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1
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(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(* 1/4 (/ (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)))
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(* 1/4 (/ (pow U 2) (pow J 2)))
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(* 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
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
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(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
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(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
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(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
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1
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(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
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1
(+ 1 (* -1/4 (pow K 2)))
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(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
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(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
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(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (pow U 2))
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(* -1/4 (pow U 2))
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(* -1/4 (pow U 2))

Outputs
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
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(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
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(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
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(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
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(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
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(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
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(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
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(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
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(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
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(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (*.f64 J J))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
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(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
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(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))
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(* -2 (* J (cos (* 1/2 K))))
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(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))
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(* U (+ (* -4 (* (/ (* (pow J 5) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* J (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (/ (cos (* 1/2 K)) J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 3) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt.f64 (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt.f64 (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt.f64 (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt.f64 (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt.f64 (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt.f64 (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt.f64 (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt.f64 (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow K 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 K K) #s(literal -1/4 binary64)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 K K) (+.f64 (.f64 K (.f64 K #s(literal 1/48 binary64))) #s(literal -1/4 binary64))))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 K K) (+.f64 (.f64 K (.f64 K (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 K K) #s(literal -1/1440 binary64))))) #s(literal -1/4 binary64))))
(+ 1/2 (* 1/2 (cos K)))
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (/ (pow U 2) J))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(.f64 (.f64 U U) #s(literal -1/4 binary64))

eval128.0ms (1.1%)

Memory: 16.9MiB live, 361.5MiB allocated
Compiler: Compiled 27 756 to 2 608 computations (90.6% saved)

prune127.0ms (1.1%)

Memory

21.9MiB live, 299.4MiB allocated

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	968	6	974
Fresh	0	14	14
Picked	4	1	5
Done	1	3	4
Total	973	24	997

Accuracy

100.0%

Counts

997 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.5%	(/.f64 (-.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 2 binary64)))))) (.f64 J (.f64 J #s(literal -2 binary64)))) (.f64 U U)) U)
	13.1%	(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 K (.f64 K J)) (.f64 K (.f64 K J)))) (.f64 #s(literal 4 binary64) (.f64 J J))) (-.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))))
	8.2%	(/.f64 (+.f64 (.f64 (.f64 J (.f64 J J)) #s(literal -8 binary64)) (.f64 (.f64 (.f64 K (.f64 K J)) (.f64 (.f64 K (.f64 K J)) (.f64 K (.f64 K J)))) #s(literal 1/64 binary64))) (+.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (-.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))))))
	25.9%	(/.f64 (+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 J #s(literal -2 binary64)))) (.f64 (.f64 U U) #s(literal -1/4 binary64))) J)
	13.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J (-.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))) (.f64 (.f64 J (+.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))) (.f64 J (-.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))))))
	40.5%	(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 J (.f64 J #s(literal -2 binary64)))) U) U)
	40.5%	(-.f64 (/.f64 (.f64 J (.f64 J #s(literal -2 binary64))) U) U)
	40.5%	(-.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 U (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal -1 binary64))) (.f64 #s(literal -2 binary64) (*.f64 J J))) U)
	50.3%	(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 U J) U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
	49.3%	(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U J)))
✓	26.0%	(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 (.f64 K J) K) #s(literal 1/4 binary64)))
	37.4%	(.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) J))
	72.7%	(.f64 (.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U J) (/.f64 U (.f64 J #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J)
	44.0%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) (.f64 J J))))
	37.1%	(.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
	37.6%	(.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) J) #s(literal -2 binary64))
	21.1%	(.f64 (.f64 U U) (-.f64 (.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 J (.f64 U U)))) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
	20.1%	(.f64 (.f64 U U) (+.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))) (.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
✓	49.2%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
	26.0%	(.f64 J (+.f64 (.f64 K (*.f64 K #s(literal 1/4 binary64))) #s(literal -2 binary64)))
	2.6%	(.f64 J (.f64 (*.f64 K K) #s(literal 1/4 binary64)))
✓	27.9%	(*.f64 J #s(literal -2 binary64))
	43.9%	(neg.f64 U)
✓	12.3%	U

Compiler

Compiled 1 256 to 538 computations (57.2% saved)

regimes88.0ms (0.7%)

Memory

-13.2MiB live, 175.0MiB allocated

Counts

41 → 3

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(.f64 J (.f64 (*.f64 K K) #s(literal 1/4 binary64)))
(.f64 J (+.f64 (.f64 K (*.f64 K #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(-.f64 (/.f64 (.f64 J (.f64 J #s(literal -2 binary64))) U) U)
(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 J (.f64 K K)) #s(literal 1/4 binary64)))
(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 (.f64 K J) K) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J (-.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))) (.f64 (.f64 J (+.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))) (.f64 J (-.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 K (.f64 K J)) (.f64 K (.f64 K J)))) (.f64 #s(literal 4 binary64) (.f64 J J))) (-.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))))
(/.f64 (+.f64 (.f64 (.f64 J (.f64 J J)) #s(literal -8 binary64)) (.f64 (.f64 (.f64 K (.f64 K J)) (.f64 (.f64 K (.f64 K J)) (.f64 K (.f64 K J)))) #s(literal 1/64 binary64))) (+.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (-.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 J J)))) (*.f64 #s(literal -2 binary64) J))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U J)))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 J (.f64 J #s(literal -2 binary64)))) U) U)
(/.f64 (+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 J #s(literal -2 binary64)))) (.f64 (.f64 U U) #s(literal -1/4 binary64))) J)
(.f64 (.f64 U U) (+.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))) (.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) (.f64 J J))))
(/.f64 (-.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 2 binary64)))))) (.f64 J (.f64 J #s(literal -2 binary64)))) (.f64 U U)) U)
(.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) J) #s(literal -2 binary64))
(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 #s(literal -2 binary64) (.f64 J J))) U)
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J (.f64 J #s(literal -2 binary64)))) (*.f64 U U)) U)
(.f64 (.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 J U)) #s(literal 4 binary64)))))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 U J) U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 J U)))))) J)
(.f64 (.f64 U U) (-.f64 (.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 J (.f64 U U)))) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) J))
(.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 U (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal -1 binary64))) (.f64 #s(literal -2 binary64) (*.f64 J J))) 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) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U J) (/.f64 U (.f64 J #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J)
(.f64 (.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 #s(literal 1/2 binary64) J))) J) (/.f64 #s(literal 2 binary64) U))))) J)
(.f64 (.f64 (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (.f64 J #s(literal 2 binary64)) U)))))) J)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Outputs

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

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

Calls

6 calls:

17.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
14.0ms	J
14.0ms	(/.f64 K #s(literal 2 binary64))
14.0ms	K
13.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
81.8%	2	`J`
75.8%	2	`K`
81.6%	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)))))`
72.9%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
75.8%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes24.0ms (0.2%)

Memory

19.5MiB live, 59.0MiB allocated

Counts

39 → 2

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(.f64 J (.f64 (*.f64 K K) #s(literal 1/4 binary64)))
(.f64 J (+.f64 (.f64 K (*.f64 K #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(-.f64 (/.f64 (.f64 J (.f64 J #s(literal -2 binary64))) U) U)
(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 J (.f64 K K)) #s(literal 1/4 binary64)))
(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 (.f64 K J) K) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J (-.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))) (.f64 (.f64 J (+.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))) (.f64 J (-.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 K (.f64 K J)) (.f64 K (.f64 K J)))) (.f64 #s(literal 4 binary64) (.f64 J J))) (-.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))))
(/.f64 (+.f64 (.f64 (.f64 J (.f64 J J)) #s(literal -8 binary64)) (.f64 (.f64 (.f64 K (.f64 K J)) (.f64 (.f64 K (.f64 K J)) (.f64 K (.f64 K J)))) #s(literal 1/64 binary64))) (+.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (-.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 J J)))) (*.f64 #s(literal -2 binary64) J))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U J)))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 J (.f64 J #s(literal -2 binary64)))) U) U)
(/.f64 (+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 J #s(literal -2 binary64)))) (.f64 (.f64 U U) #s(literal -1/4 binary64))) J)
(.f64 (.f64 U U) (+.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))) (.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) (.f64 J J))))
(/.f64 (-.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 2 binary64)))))) (.f64 J (.f64 J #s(literal -2 binary64)))) (.f64 U U)) U)
(.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) J) #s(literal -2 binary64))
(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 #s(literal -2 binary64) (.f64 J J))) U)
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J (.f64 J #s(literal -2 binary64)))) (*.f64 U U)) U)
(.f64 (.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 J U)) #s(literal 4 binary64)))))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 U J) U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 J U)))))) J)
(.f64 (.f64 U U) (-.f64 (.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 J (.f64 U U)))) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) J))
(.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 U (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal -1 binary64))) (.f64 #s(literal -2 binary64) (*.f64 J J))) 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) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U J) (/.f64 U (.f64 J #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J)
(.f64 (.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 #s(literal 1/2 binary64) J))) J) (/.f64 #s(literal 2 binary64) U))))) J)
(.f64 (.f64 (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (.f64 J #s(literal 2 binary64)) U)))))) J)

Outputs

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
81.7%	2	`J`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes51.0ms (0.4%)

Memory

5.4MiB live, 117.5MiB allocated

Counts

34 → 2

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(.f64 J (.f64 (*.f64 K K) #s(literal 1/4 binary64)))
(.f64 J (+.f64 (.f64 K (*.f64 K #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(-.f64 (/.f64 (.f64 J (.f64 J #s(literal -2 binary64))) U) U)
(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 J (.f64 K K)) #s(literal 1/4 binary64)))
(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 (.f64 K J) K) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J (-.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))) (.f64 (.f64 J (+.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))) (.f64 J (-.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 K (.f64 K J)) (.f64 K (.f64 K J)))) (.f64 #s(literal 4 binary64) (.f64 J J))) (-.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))))
(/.f64 (+.f64 (.f64 (.f64 J (.f64 J J)) #s(literal -8 binary64)) (.f64 (.f64 (.f64 K (.f64 K J)) (.f64 (.f64 K (.f64 K J)) (.f64 K (.f64 K J)))) #s(literal 1/64 binary64))) (+.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (-.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 J J)))) (*.f64 #s(literal -2 binary64) J))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U J)))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 J (.f64 J #s(literal -2 binary64)))) U) U)
(/.f64 (+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 J #s(literal -2 binary64)))) (.f64 (.f64 U U) #s(literal -1/4 binary64))) J)
(.f64 (.f64 U U) (+.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))) (.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) (.f64 J J))))
(/.f64 (-.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 2 binary64)))))) (.f64 J (.f64 J #s(literal -2 binary64)))) (.f64 U U)) U)
(.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) J) #s(literal -2 binary64))
(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 #s(literal -2 binary64) (.f64 J J))) U)
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J (.f64 J #s(literal -2 binary64)))) (*.f64 U U)) U)
(.f64 (.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 J U)) #s(literal 4 binary64)))))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 U J) U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 J U)))))) J)
(.f64 (.f64 U U) (-.f64 (.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 J (.f64 U U)))) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) J))
(.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 U (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal -1 binary64))) (.f64 #s(literal -2 binary64) (*.f64 J J))) 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) #s(literal 1 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) #s(literal 1 binary64))) #s(literal 2 binary64)))))

(neg.f64 U)

Calls

4 calls:

14.0ms	J
11.0ms	U
11.0ms	K
10.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
64.5%	2	`K`
64.5%	2	`(/.f64 K #s(literal 2 binary64))`
75.2%	2	`U`
75.2%	2	`J`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes21.0ms (0.2%)

Memory

-14.1MiB live, 29.2MiB allocated

Counts

33 → 2

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(.f64 J (.f64 (*.f64 K K) #s(literal 1/4 binary64)))
(.f64 J (+.f64 (.f64 K (*.f64 K #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(-.f64 (/.f64 (.f64 J (.f64 J #s(literal -2 binary64))) U) U)
(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 J (.f64 K K)) #s(literal 1/4 binary64)))
(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 (.f64 K J) K) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J (-.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))) (.f64 (.f64 J (+.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))) (.f64 J (-.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 K (.f64 K J)) (.f64 K (.f64 K J)))) (.f64 #s(literal 4 binary64) (.f64 J J))) (-.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))))
(/.f64 (+.f64 (.f64 (.f64 J (.f64 J J)) #s(literal -8 binary64)) (.f64 (.f64 (.f64 K (.f64 K J)) (.f64 (.f64 K (.f64 K J)) (.f64 K (.f64 K J)))) #s(literal 1/64 binary64))) (+.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (-.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 J J)))) (*.f64 #s(literal -2 binary64) J))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U J)))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 J (.f64 J #s(literal -2 binary64)))) U) U)
(/.f64 (+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 J #s(literal -2 binary64)))) (.f64 (.f64 U U) #s(literal -1/4 binary64))) J)
(.f64 (.f64 U U) (+.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))) (.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) (.f64 J J))))
(/.f64 (-.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 2 binary64)))))) (.f64 J (.f64 J #s(literal -2 binary64)))) (.f64 U U)) U)
(.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) J) #s(literal -2 binary64))
(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 #s(literal -2 binary64) (.f64 J J))) U)
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J (.f64 J #s(literal -2 binary64)))) (*.f64 U U)) U)
(.f64 (.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 J U)) #s(literal 4 binary64)))))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 U J) U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 J U)))))) J)
(.f64 (.f64 U U) (-.f64 (.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 J (.f64 U U)))) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) J))
(.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 U (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal -1 binary64))) (.f64 #s(literal -2 binary64) (*.f64 J J))) U)

Outputs

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

(neg.f64 U)

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
75.2%	2	`U`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory

-12.7MiB live, 26.3MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(.f64 J (.f64 (*.f64 K K) #s(literal 1/4 binary64)))
(.f64 J (+.f64 (.f64 K (*.f64 K #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(-.f64 (/.f64 (.f64 J (.f64 J #s(literal -2 binary64))) U) U)
(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 J (.f64 K K)) #s(literal 1/4 binary64)))
(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 (.f64 K J) K) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J (-.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))) (.f64 (.f64 J (+.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))) (.f64 J (-.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 K (.f64 K J)) (.f64 K (.f64 K J)))) (.f64 #s(literal 4 binary64) (.f64 J J))) (-.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))))
(/.f64 (+.f64 (.f64 (.f64 J (.f64 J J)) #s(literal -8 binary64)) (.f64 (.f64 (.f64 K (.f64 K J)) (.f64 (.f64 K (.f64 K J)) (.f64 K (.f64 K J)))) #s(literal 1/64 binary64))) (+.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (-.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 J J)))) (*.f64 #s(literal -2 binary64) J))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U J)))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 J (.f64 J #s(literal -2 binary64)))) U) U)
(/.f64 (+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 J #s(literal -2 binary64)))) (.f64 (.f64 U U) #s(literal -1/4 binary64))) J)
(.f64 (.f64 U U) (+.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))) (.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) (.f64 J J))))
(/.f64 (-.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 2 binary64)))))) (.f64 J (.f64 J #s(literal -2 binary64)))) (.f64 U U)) U)
(.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) J) #s(literal -2 binary64))
(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 #s(literal -2 binary64) (.f64 J J))) U)
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J (.f64 J #s(literal -2 binary64)))) (*.f64 U U)) U)
(.f64 (.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 J U)) #s(literal 4 binary64)))))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 U J) U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))

Outputs

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

(neg.f64 U)

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
75.2%	2	`U`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes26.0ms (0.2%)

Memory

18.5MiB live, 57.4MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(.f64 J (.f64 (*.f64 K K) #s(literal 1/4 binary64)))
(.f64 J (+.f64 (.f64 K (*.f64 K #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(-.f64 (/.f64 (.f64 J (.f64 J #s(literal -2 binary64))) U) U)
(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 J (.f64 K K)) #s(literal 1/4 binary64)))
(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 (.f64 K J) K) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J (-.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))) (.f64 (.f64 J (+.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))) (.f64 J (-.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 K (.f64 K J)) (.f64 K (.f64 K J)))) (.f64 #s(literal 4 binary64) (.f64 J J))) (-.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))))
(/.f64 (+.f64 (.f64 (.f64 J (.f64 J J)) #s(literal -8 binary64)) (.f64 (.f64 (.f64 K (.f64 K J)) (.f64 (.f64 K (.f64 K J)) (.f64 K (.f64 K J)))) #s(literal 1/64 binary64))) (+.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (-.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 J J)))) (*.f64 #s(literal -2 binary64) J))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U J)))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 J (.f64 J #s(literal -2 binary64)))) U) U)
(/.f64 (+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 J #s(literal -2 binary64)))) (.f64 (.f64 U U) #s(literal -1/4 binary64))) J)
(.f64 (.f64 U U) (+.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))) (.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 U U)) (.f64 J J))))
(/.f64 (-.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 2 binary64)))))) (.f64 J (.f64 J #s(literal -2 binary64)))) (.f64 U U)) U)
(.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) J) #s(literal -2 binary64))
(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 #s(literal -2 binary64) (.f64 J J))) U)
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J (.f64 J #s(literal -2 binary64)))) (*.f64 U U)) U)

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

Calls

3 calls:

9.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
7.0ms	U
7.0ms	J

Results

Accuracy	Segments	Branch
58.4%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
68.0%	2	`J`
69.5%	2	`U`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes15.0ms (0.1%)

Memory

-9.8MiB live, 29.2MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(.f64 J (.f64 (*.f64 K K) #s(literal 1/4 binary64)))
(.f64 J (+.f64 (.f64 K (*.f64 K #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(-.f64 (/.f64 (.f64 J (.f64 J #s(literal -2 binary64))) U) U)
(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 J (.f64 K K)) #s(literal 1/4 binary64)))
(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 (.f64 K J) K) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J (-.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))) (.f64 (.f64 J (+.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))) (.f64 J (-.f64 #s(literal -2 binary64) (.f64 K (.f64 K #s(literal 1/4 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 K (.f64 K J)) (.f64 K (.f64 K J)))) (.f64 #s(literal 4 binary64) (.f64 J J))) (-.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))))
(/.f64 (+.f64 (.f64 (.f64 J (.f64 J J)) #s(literal -8 binary64)) (.f64 (.f64 (.f64 K (.f64 K J)) (.f64 (.f64 K (.f64 K J)) (.f64 K (.f64 K J)))) #s(literal 1/64 binary64))) (+.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (-.f64 (.f64 J (.f64 K (.f64 K #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64))))))

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

Calls

3 calls:

6.0ms	J
4.0ms	K
4.0ms	U

Results

Accuracy	Segments	Branch
51.2%	5	`K`
52.7%	2	`J`
56.7%	2	`U`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
U
(neg.f64 U)

Outputs
(neg.f64 U)
U
(neg.f64 U)

Calls

3 calls:

2.0ms	J
2.0ms	K
2.0ms	U

Results

Accuracy	Segments	Branch
47.3%	3	`K`
43.9%	1	`J`
43.9%	1	`U`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory

11.2MiB live, 11.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
U

Outputs
U

Calls

3 calls:

1.0ms	K
1.0ms	U
1.0ms	J

Results

Accuracy	Segments	Branch
12.3%	1	`J`
12.3%	1	`U`
12.3%	1	`K`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.898392523117953e+298	+inf
0.0ms	-inf	-2.0726074841099282e+307

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch34.0ms (0.3%)

Memory

-34.1MiB live, 58.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	5.638366725046515e-124	1.8174274755839556e-120

Samples

26.0ms

128×

valid

Compiler

Compiled 446 to 327 computations (26.7% saved)

Precisions

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

ival-mult: 16.0ms (70.9% of total)

ival-cos: 3.0ms (13.3% of total)

ival-div: 2.0ms (8.9% of total)

ival-add: 1.0ms (4.4% of total)

ival-sqrt: 1.0ms (4.4% of total)

ival-pow2: 1.0ms (4.4% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.4151739788983942e+76	1.4563584886856374e+76

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.4151739788983942e+76	1.4563584886856374e+76

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.4151739788983942e+76	1.4563584886856374e+76

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch21.0ms (0.2%)

Memory

21.5MiB live, 60.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.450130464975252e-91	5.603004123040776e-87

Samples

14.0ms

128×

valid

Compiler

Compiled 174 to 143 computations (17.8% saved)

Precisions

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

ival-mult: 3.0ms (27.9% of total)

ival-div: 2.0ms (18.6% of total)

ival-cos: 2.0ms (18.6% of total)

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

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

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

bsearch22.0ms (0.2%)

Memory

-27.3MiB live, 54.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.450130464975252e-91	5.603004123040776e-87

Samples

15.0ms

128×

valid

Compiler

Compiled 134 to 111 computations (17.2% saved)

Precisions

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

ival-mult: 3.0ms (27.5% of total)

ival-cos: 3.0ms (27.5% of total)

ival-div: 2.0ms (18.3% of total)

ival-add: 1.0ms (9.2% of total)

ival-sqrt: 1.0ms (9.2% of total)

ival-pow2: 1.0ms (9.2% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

bsearch36.0ms (0.3%)

Memory

15.2MiB live, 94.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.895389165463745e+258	7.812280564844338e+258
22.0ms	2.498058695328553e+226	9.413499122571605e+231

Samples

26.0ms

208×

valid

Compiler

Compiled 173 to 140 computations (19.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 6.0ms (30% of total)

ival-cos: 6.0ms (30% of total)

ival-div: 2.0ms (10% of total)

ival-sqrt: 2.0ms (10% of total)

ival-pow2: 2.0ms (10% of total)

ival-add: 1.0ms (5% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

simplify13.0ms (0.1%)

Memory

-13.7MiB live, 25.5MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`*-commutative_binary64`
18×	`+-commutative_binary64`
6×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	253
1	131	253
2	135	253
3	136	253

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)) (-.f64 (/.f64 (.f64 J (.f64 J #s(literal -2 binary64))) U) U) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 50000000000000002625238012760221012435223429055407957745792705775590122899445409789318568754022393202185222191644193908847126161768021528782239609239335349142419360046328790186891511689739404502968447661748539997254055951948382044003732637139007124728962939441002842141905783473609819343272970027008 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) U))
(if (<=.f64 J #s(literal 8931394244144417/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 J (.f64 J #s(literal -2 binary64)))) U) U) (.f64 (.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U J) (/.f64 U (.f64 J #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J))
(if (<=.f64 U #s(literal 14500000000000000843065754616528336596957631275522874860424428203881745350656 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) #s(literal 1 binary64))) #s(literal 2 binary64))))) (neg.f64 U))
(if (<=.f64 U #s(literal 14500000000000000843065754616528336596957631275522874860424428203881745350656 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 J U)))))) J) (neg.f64 U))
(if (<=.f64 U #s(literal 14500000000000000843065754616528336596957631275522874860424428203881745350656 binary64)) (.f64 (.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 J U)) #s(literal 4 binary64))))) (neg.f64 U))
(if (<=.f64 U #s(literal 3079649020494481/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))
(if (<=.f64 U #s(literal 4013622577982625/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (*.f64 J #s(literal -2 binary64)) (neg.f64 U))
(if (<=.f64 K #s(literal 3800000000000000076715255300429514908176175065762776933659319896662926120645062243914062908434552432106618994925423480122328387666108040317583003774074155172217391449378771462244328700284348777458928020877357222798537206743454187520 binary64)) (neg.f64 U) (if (<=.f64 K #s(literal 7500000000000000319309651311372028608796574118407822626267426361697270245879956110854864001465442228061879634830555941535770754333213196327606969422637901114795983153939780995527503905617925488651257950467529129921616240204552267680992531872802756085902475264 binary64)) U (neg.f64 U)))
U

Outputs
(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)) (-.f64 (/.f64 (.f64 J (.f64 J #s(literal -2 binary64))) U) U) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 50000000000000002625238012760221012435223429055407957745792705775590122899445409789318568754022393202185222191644193908847126161768021528782239609239335349142419360046328790186891511689739404502968447661748539997254055951948382044003732637139007124728962939441002842141905783473609819343272970027008 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) U))
(if (<=.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (-.f64 (/.f64 (.f64 J (.f64 #s(literal -2 binary64) J)) U) U) (if (<=.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal 50000000000000002625238012760221012435223429055407957745792705775590122899445409789318568754022393202185222191644193908847126161768021528782239609239335349142419360046328790186891511689739404502968447661748539997254055951948382044003732637139007124728962939441002842141905783473609819343272970027008 binary64)) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) U))
(if (<=.f64 J #s(literal 8931394244144417/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 J (.f64 J #s(literal -2 binary64)))) U) U) (.f64 (.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U J) (/.f64 U (.f64 J #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J))
(if (<=.f64 J #s(literal 8931394244144417/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (-.f64 (/.f64 (.f64 (.f64 J (.f64 #s(literal -2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K)))) U) U) (.f64 J (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U J) (/.f64 U (.f64 J #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))))))))))
(if (<=.f64 U #s(literal 14500000000000000843065754616528336596957631275522874860424428203881745350656 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) #s(literal 1 binary64))) #s(literal 2 binary64))))) (neg.f64 U))
(if (<=.f64 U #s(literal 14500000000000000843065754616528336596957631275522874860424428203881745350656 binary64)) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) U))
(if (<=.f64 U #s(literal 14500000000000000843065754616528336596957631275522874860424428203881745350656 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 J U)))))) J) (neg.f64 U))
(if (<=.f64 U #s(literal 14500000000000000843065754616528336596957631275522874860424428203881745350656 binary64)) (.f64 J (.f64 (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 J U))))))) (-.f64 #s(literal 0 binary64) U))
(if (<=.f64 U #s(literal 14500000000000000843065754616528336596957631275522874860424428203881745350656 binary64)) (.f64 (.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 J U)) #s(literal 4 binary64))))) (neg.f64 U))
(if (<=.f64 U #s(literal 14500000000000000843065754616528336596957631275522874860424428203881745350656 binary64)) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (/.f64 J U)) #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) U))
(if (<=.f64 U #s(literal 3079649020494481/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))
(if (<=.f64 U #s(literal 3079649020494481/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) U))
(if (<=.f64 U #s(literal 4013622577982625/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (*.f64 J #s(literal -2 binary64)) (neg.f64 U))
(if (<=.f64 U #s(literal 4013622577982625/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (*.f64 #s(literal -2 binary64) J) (-.f64 #s(literal 0 binary64) U))
(if (<=.f64 K #s(literal 3800000000000000076715255300429514908176175065762776933659319896662926120645062243914062908434552432106618994925423480122328387666108040317583003774074155172217391449378771462244328700284348777458928020877357222798537206743454187520 binary64)) (neg.f64 U) (if (<=.f64 K #s(literal 7500000000000000319309651311372028608796574118407822626267426361697270245879956110854864001465442228061879634830555941535770754333213196327606969422637901114795983153939780995527503905617925488651257950467529129921616240204552267680992531872802756085902475264 binary64)) U (neg.f64 U)))
(if (<=.f64 K #s(literal 3800000000000000076715255300429514908176175065762776933659319896662926120645062243914062908434552432106618994925423480122328387666108040317583003774074155172217391449378771462244328700284348777458928020877357222798537206743454187520 binary64)) (-.f64 #s(literal 0 binary64) U) (if (<=.f64 K #s(literal 7500000000000000319309651311372028608796574118407822626267426361697270245879956110854864001465442228061879634830555941535770754333213196327606969422637901114795983153939780995527503905617925488651257950467529129921616240204552267680992531872802756085902475264 binary64)) U (-.f64 #s(literal 0 binary64) U)))
U

soundness1.1s (9.7%)

Memory

8.1MiB live, 1 067.1MiB allocated

Rules

19 354×	`accelerator-lowering-fma.f32`
19 354×	`accelerator-lowering-fma.f64`
13 800×	`accelerator-lowering-fma.f32`
13 800×	`accelerator-lowering-fma.f64`
9 614×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	360	3717
1	1153	3609
2	4514	3477
0	8499	3319
0	41	254
1	210	216
2	1493	210
0	8377	200
0	17	66
1	68	66
2	420	66
3	4348	66
0	8113	66
0	729	10410
1	2415	10160
0	8446	9557
0	46	248
1	223	246
2	1712	228
0	8308	220

Stop Event

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

Compiler

Compiled 526 to 289 computations (45.1% saved)

preprocess134.0ms (1.1%)

Memory: -2.8MiB live, 309.1MiB allocated
Remove: (abs K)
Compiler: Compiled 1 492 to 468 computations (68.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze283.0ms (2.4%)

sample1.6s (13.9%)

preprocess122.0ms (1%)

explain265.0ms (2.2%)

eval0.0ms (0%)

prune5.0ms (0%)

simplify52.0ms (0.4%)

localize69.0ms (0.6%)

series37.0ms (0.3%)

rewrite354.0ms (3%)

simplify623.0ms (5.3%)

eval337.0ms (2.9%)

prune64.0ms (0.5%)

simplify272.0ms (2.3%)

localize176.0ms (1.5%)

series73.0ms (0.6%)

rewrite365.0ms (3.1%)

simplify611.0ms (5.2%)

eval217.0ms (1.8%)

prune292.0ms (2.5%)

simplify604.0ms (5.1%)

localize311.0ms (2.6%)

series45.0ms (0.4%)

rewrite547.0ms (4.6%)

simplify544.0ms (4.6%)

eval124.0ms (1.1%)

prune130.0ms (1.1%)

simplify233.0ms (2%)

localize161.0ms (1.4%)

series59.0ms (0.5%)

rewrite529.0ms (4.5%)

simplify732.0ms (6.2%)

eval128.0ms (1.1%)

prune127.0ms (1.1%)

regimes88.0ms (0.7%)

regimes24.0ms (0.2%)

regimes51.0ms (0.4%)

regimes21.0ms (0.2%)

regimes13.0ms (0.1%)

regimes26.0ms (0.2%)

regimes15.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch34.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch21.0ms (0.2%)

bsearch22.0ms (0.2%)

bsearch36.0ms (0.3%)

simplify13.0ms (0.1%)

soundness1.1s (9.7%)

preprocess134.0ms (1.1%)

end0.0ms (0%)

Profiling