Metrics for Maksimov and Kolovsky, Equation (3)

analyze316.0ms (2.6%)

Memory

9.6MiB live, 566.7MiB 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)

sample1.8s (15.1%)

Memory

33.4MiB live, 2 676.5MiB allocated

Samples

1.4s

8 256×

valid

Precisions

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

ival-mult: 511.0ms (44.5% of total)

ival-cos: 244.0ms (21.2% of total)

ival-div: 163.0ms (14.2% of total)

ival-pow2: 107.0ms (9.3% of total)

ival-sqrt: 64.0ms (5.6% of total)

ival-add: 39.0ms (3.4% of total)

exact: 12.0ms (1% of total)

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

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

Bogosity

preprocess123.0ms (1%)

Memory

-11.9MiB live, 148.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs U)

(abs K)

(negabs J)

explain280.0ms (2.3%)

Memory

-38.9MiB live, 568.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
36	0	-	-	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`
26	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	120	(2.887802443320157e-212 5.808820708055917e+152 2.298709151014722e-216)	-	`(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	120	0
`sqrt.f64`	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`	oflow-rescue	36	0
↳	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`	overflow	26
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	26
↳	`(+.f64 #s(literal 1 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	62
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	62
`*.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**	26	0

Confusion

	Predicted +	Predicted -
+	62	0
-	88	106

Precision

0.41333333333333333

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	62	0	0
-	88	0	106

Precision?

0.41333333333333333

Recall?

1.0

Freqs

test

number	freq
0	106
1	118
2	32

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

102.0ms

512×

valid

Compiler

Compiled 278 to 72 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-cos: 40.0ms (50.7% of total)

ival-mult: 20.0ms (25.3% of total)

ival-div: 7.0ms (8.9% of total)

ival-pow2: 5.0ms (6.3% of total)

ival-sqrt: 4.0ms (5.1% of total)

ival-add: 2.0ms (2.5% of total)

exact: 1.0ms (1.3% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.9%	(.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

▶

76.9%

(*.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)

simplify53.0ms (0.4%)

Memory

16.5MiB live, 94.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

852×	`lower-*.f32`
842×	`lower-*.f64`
786×	`associate-*r/`
758×	`lower-/.f32`
754×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize58.0ms (0.5%)

Memory

-8.0MiB live, 108.0MiB 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	99.6%	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
✓	accuracy	90.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
✓	accuracy	86.9%	(sqrt.f64 (+.f64 #s(literal 1 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

35.0ms

256×

valid

Compiler

Compiled 112 to 19 computations (83% saved)

Precisions

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

ival-mult: 7.0ms (30.2% of total)

ival-cos: 5.0ms (21.6% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory

25.8MiB live, 63.6MiB allocated

Counts

4 → 132

Calls

Call 1

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

Outputs
#<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 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 (* 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))))>
#<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))))>

Calls

33 calls:

Time	Variable		Point	Expression
6.0ms	U	@	inf	(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)
3.0ms	K	@	-inf	(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
2.0ms	K	@	0	(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
2.0ms	K	@	inf	(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
2.0ms	K	@	0	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))

rewrite274.0ms (2.3%)

Memory

-5.6MiB live, 467.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	59
0	28	59
1	79	59
2	432	59
3	4344	59
0	8109	59

Stop Event

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

Counts

4 → 293

Calls

Call 1

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

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

simplify517.0ms (4.3%)

Memory

1.4MiB live, 681.8MiB allocated

Algorithm

1×	egg-herbie

Rules

19 224×	`lower-fma.f64`
19 224×	`lower-fma.f32`
6 616×	`lower-*.f64`
6 616×	`lower-*.f32`
4 904×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	348	3609
1	1123	3501
2	4446	3369
0	8412	3217

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 131

Calls

Call 1

Inputs
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 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)))
(* 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))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(fma.f64 (.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 U U) (.f64 (.f64 (.f64 J J) (.f64 J J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
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(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(.f64 (/.f64 (.f64 U U) (.f64 J J)) (fma.f64 #s(literal 1/16 binary64) (.f64 K K) #s(literal 1/4 binary64)))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(fma.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/96 binary64))) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (fma.f64 #s(literal 1/16 binary64) (.f64 K K) #s(literal 1/4 binary64))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(fma.f64 K (.f64 K (.f64 (.f64 (.f64 K K) #s(literal -1/4 binary64)) (fma.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -17/2880 binary64)) (/.f64 (.f64 (.f64 U U) #s(literal -1/24 binary64)) (.f64 J J))))) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (fma.f64 #s(literal 1/16 binary64) (*.f64 K K) #s(literal 1/4 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(.f64 J (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 #s(literal 1/23040 binary64) (.f64 K K) #s(literal -1/192 binary64))) (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))

eval73.0ms (0.6%)

Memory: 10.7MiB live, 88.8MiB allocated
Compiler: Compiled 14 952 to 1 640 computations (89% saved)

prune94.0ms (0.8%)

Memory

-15.5MiB live, 106.1MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	411	13	424
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	412	13	425

Accuracy

99.9%

Counts

425 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.7%	(fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
	47.9%	(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	45.4%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 2 binary64) J)))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	10.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
▶	52.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
	39.9%	(.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 U) (.f64 J J)) (fma.f64 #s(literal 1/16 binary64) (*.f64 K K) #s(literal 1/4 binary64))))))
▶	76.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64))))))))))))
	66.3%	(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 2 binary64) J)))) #s(literal 1 binary64))) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal -2 binary64))
▶	46.5%	(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	36.6%	(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64)))
▶	11.2%	(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
	52.0%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
▶	40.3%	(neg.f64 U)

Compiler

Compiled 636 to 432 computations (32.1% saved)

simplify233.0ms (1.9%)

Memory

25.5MiB live, 258.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	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))))
✓	cost-diff	0	(*.f64 J #s(literal -2 binary64))
✓	cost-diff	0	(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
✓	cost-diff	384	(/.f64 K #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U)))
✓	cost-diff	0	(fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -1 binary64))
✓	cost-diff	0	(neg.f64 U)
✓	cost-diff	768	(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) J)
✓	cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
✓	cost-diff	384	(/.f64 K #s(literal 2 binary64))
✓	cost-diff	0	(neg.f64 U)
✓	cost-diff	384	(.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))
✓	cost-diff	384	(/.f64 K #s(literal 2 binary64))
✓	cost-diff	640	(.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))
✓	cost-diff	640	(.f64 (.f64 #s(literal 2 binary64) J) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))

Rules

5 472×	`lower-*.f32`
5 436×	`lower-*.f64`
2 706×	`lower-/.f32`
2 694×	`lower-/.f64`
2 130×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	465
0	87	461
1	170	443
2	443	401
3	1436	401
4	4790	397
0	8735	386

Stop Event

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

Calls

Call 1

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

localize281.0ms (2.3%)

Memory

-29.8MiB live, 234.7MiB allocated

Localize:

Found 17 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) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
✓	accuracy	90.4%	(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
✓	accuracy	86.9%	(sqrt.f64 (+.f64 #s(literal 1 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	99.9%	(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U)))
✓	accuracy	99.6%	(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓	accuracy	93.7%	(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
✓	accuracy	75.0%	(/.f64 (.f64 J J) (.f64 U U))
✓	accuracy	99.8%	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	90.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
✓	accuracy	86.8%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))
✓	accuracy	74.7%	(/.f64 (.f64 U U) (.f64 J J))
✓	accuracy	100.0%	(neg.f64 U)
✓	accuracy	99.7%	(.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))
✓	accuracy	99.5%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
✓	accuracy	90.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64))))))))))))
✓	accuracy	86.9%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))

Samples

108.0ms

256×

valid

Compiler

Compiled 472 to 51 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 40.0ms (49.2% of total)

ival-cos: 15.0ms (18.5% of total)

ival-div: 10.0ms (12.3% of total)

ival-add: 6.0ms (7.4% of total)

ival-sqrt: 5.0ms (6.2% of total)

ival-pow2: 4.0ms (4.9% of total)

exact: 1.0ms (1.2% of total)

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

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

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

series94.0ms (0.8%)

Memory

-2.9MiB live, 154.0MiB allocated

Counts

17 → 480

Calls

Call 1

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

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

Calls

120 calls:

Time	Variable		Point	Expression
29.0ms	J	@	0	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (/ U (* 2 J)) (/ U (* (* 2 J) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))))
8.0ms	U	@	0	(sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1))
4.0ms	K	@	-inf	(* (* J -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
3.0ms	K	@	inf	(sqrt (+ 1 (* (/ U (* 2 J)) (/ U (* (* 2 J) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))))
2.0ms	U	@	0	(* (* J -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))

rewrite890.0ms (7.4%)

Memory

6.4MiB live, 624.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 052×	`lower-/.f32`
5 040×	`lower-/.f64`
4 288×	`lower-*.f32`
4 252×	`lower-*.f64`
4 244×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	240
0	87	264
1	290	194
2	2010	190
0	8589	190

Stop Event

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

Counts

17 → 1 352

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log1p.f64 (/.f64 (.f64 U U) (.f64 (.f64 (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
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(.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)))) (*.f64 U #s(literal 1/2 binary64)))
(.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 U J))
(.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)))) (.f64 (/.f64 U J) #s(literal -1/2 binary64)))
(.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (.f64 J #s(literal -2 binary64))) (/.f64 (neg.f64 U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))))
(.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (fma.f64 (cos.f64 (.f64 #s(literal 1 binary64) K)) (.f64 #s(literal 1 binary64) J) (*.f64 #s(literal 1 binary64) J))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U)))
(.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal -2 binary64)) (/.f64 (neg.f64 U) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)))))
(.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal -1 binary64)) (.f64 (/.f64 U (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) (/.f64 U (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 (/.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)))
(.f64 (/.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) (/.f64 (neg.f64 U) (neg.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(.f64 (/.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J) (/.f64 U (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 (/.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J) (/.f64 (neg.f64 U) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 (/.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 #s(literal 2 binary64) J)) (/.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (/.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 U (.f64 #s(literal 2 binary64) J)))
(.f64 (/.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (*.f64 U #s(literal 1/2 binary64)))
(.f64 (/.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 U J))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 2 binary64) J))) (/.f64 (.f64 U U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) J) #s(literal 2 binary64))) (/.f64 (.f64 U U) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 U U) (*.f64 #s(literal 2 binary64) J)) J))
(.f64 (/.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 #s(literal 1 binary64) K)) (.f64 #s(literal 1 binary64) J) (.f64 #s(literal 1 binary64) J))) #s(literal -2 binary64)) (/.f64 (neg.f64 U) J))
(.f64 (/.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 #s(literal 1 binary64) K)) (.f64 #s(literal 1 binary64) J) (.f64 #s(literal 1 binary64) J))) #s(literal -1 binary64)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))
(.f64 (/.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 #s(literal 1 binary64) K)) (.f64 #s(literal 1 binary64) J) (.f64 #s(literal 1 binary64) J))) (neg.f64 J)) (/.f64 (neg.f64 U) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U)))
(.f64 (/.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 (/.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal -2 binary64)) (/.f64 (neg.f64 U) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 (/.f64 (neg.f64 U) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal -2 binary64)))
(.f64 (/.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 U (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(.f64 (/.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 J #s(literal -2 binary64))) (/.f64 (neg.f64 U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (/.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (/.f64 U J) #s(literal -1/2 binary64)))
(.f64 (/.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) (/.f64 (neg.f64 U) J))
(.f64 (/.f64 U (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J))
(.f64 (/.f64 (neg.f64 U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) (/.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J))
(.f64 #s(literal 2 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 J (.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J))
(.f64 (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) J)

simplify1.0s (8.4%)

Memory

-7.8MiB live, 882.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 888×	`lower-fma.f64`
10 888×	`lower-fma.f32`
7 976×	`lower-*.f64`
7 976×	`lower-*.f32`
4 656×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	812	10834
1	2662	10560
0	8504	9996

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 477

Calls

Call 1

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

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

eval483.0ms (4%)

Memory: 6.1MiB live, 434.9MiB allocated
Compiler: Compiled 57 810 to 5 439 computations (90.6% saved)

prune468.0ms (3.9%)

Memory

3.1MiB live, 489.6MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	1 872	20	1 892
Fresh	5	3	8
Picked	4	1	5
Done	0	0	0
Total	1 881	24	1 905

Accuracy

99.9%

Counts

1 905 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.7%	(fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
	47.9%	(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	24.3%	(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
	34.2%	(/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
	24.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
▶	32.0%	(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
	45.4%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 2 binary64) J)))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	56.9%	(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
	45.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
	45.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
	52.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))))
▶	66.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
▶	76.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))))
▶	29.1%	(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
	36.6%	(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
	50.5%	(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
	52.0%	(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
	12.8%	(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) U) U) #s(literal -1 binary64)))
	11.2%	(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
	11.8%	(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) (/.f64 J (*.f64 U U))) #s(literal -1 binary64)))
	34.2%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))
	1.5%	(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
▶	31.3%	(*.f64 J #s(literal -2 binary64))
✓	40.3%	(neg.f64 U)

Compiler

Compiled 933 to 650 computations (30.3% saved)

simplify309.0ms (2.6%)

Memory

34.5MiB live, 350.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) J)
✓	cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
✓	cost-diff	384	(/.f64 (*.f64 (/.f64 U J) U) J)
✓	cost-diff	0	(*.f64 U #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
✓	cost-diff	0	(*.f64 J #s(literal -2 binary64))
✓	cost-diff	1152	(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
✓	cost-diff	0	(*.f64 K K)
✓	cost-diff	0	(.f64 #s(literal 1/4 binary64) (.f64 K K))
✓	cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
✓	cost-diff	320	(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (*.f64 J #s(literal -2 binary64)))
✓	cost-diff	0	(*.f64 J #s(literal -2 binary64))
✓	cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
✓	cost-diff	384	(.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
✓	cost-diff	640	(.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))

Rules

7 142×	`lower-*.f32`
7 106×	`lower-*.f64`
4 368×	`lower-fma.f32`
4 362×	`lower-fma.f64`
1 766×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	362
0	84	362
1	157	360
2	379	340
3	1001	335
4	4087	335
5	4495	335
6	6513	335
0	8040	324

Stop Event

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

Calls

Call 1

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

localize219.0ms (1.8%)

Memory

-31.3MiB live, 405.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 (/.f64 U J) U)
✓	accuracy	94.7%	(/.f64 (*.f64 (/.f64 U J) U) J)
✓	accuracy	90.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
✓	accuracy	86.8%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))
✓	accuracy	100.0%	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓	accuracy	99.8%	(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
✓	accuracy	99.8%	(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
✓	accuracy	80.1%	(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
✓	accuracy	95.9%	(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
✓	accuracy	94.8%	(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (*.f64 J #s(literal -2 binary64)))
✓	accuracy	86.8%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))
✓	accuracy	74.7%	(/.f64 (.f64 U U) (.f64 J J))
✓	accuracy	100.0%	(*.f64 J #s(literal -2 binary64))
✓	accuracy	99.7%	(.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
✓	accuracy	99.5%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
✓	accuracy	90.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))))
✓	accuracy	86.9%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))

Samples

128.0ms

256×

valid

Compiler

Compiled 379 to 50 computations (86.8% saved)

Precisions

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

ival-mult: 29.0ms (43.5% of total)

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

ival-div: 11.0ms (16.5% of total)

ival-sqrt: 6.0ms (9% of total)

ival-add: 5.0ms (7.5% of total)

exact: 1.0ms (1.5% of total)

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

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

series47.0ms (0.4%)

Memory

16.4MiB live, 94.3MiB allocated

Counts

17 → 456

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 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)))))))))>
#<alt (+ 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)))))))))>
#<alt (* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (* 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))))))))>
#<alt (* 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)))))))))>
#<alt (* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (* -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))))))))>
#<alt (* -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)))))))))>
#<alt (* -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))))))))))>
#<alt (* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J)>
#<alt (/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) J)>
#<alt (/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J)>
#<alt 1>
#<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 1>
#<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 (* (* 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 (* 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)))))))>
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#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U J))>
#<alt (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))>
#<alt (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))>
#<alt (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<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))))>
#<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))))))>
#<alt (* -1 (* U (cos (* 1/2 K))))>
#<alt (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))>
#<alt (+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))>
#<alt (+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))>
#<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)))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))))>
#<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))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 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) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 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)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 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)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 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)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 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)))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3))))))))>
#<alt (* -1 (* U (cos (* 1/2 K))))>
#<alt (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))>
#<alt (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))>
#<alt (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))>
#<alt (* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))>
#<alt (* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<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)>

Calls

114 calls:

Time	Variable		Point	Expression
15.0ms	U	@	0	(* (/ U J) U)
2.0ms	K	@	-inf	(* (* J -2) (/ (* U 1/2) (* J (cos (* 1/2 K)))))
1.0ms	J	@	inf	(+ (* (* 1/4 (* K K)) J) (* J -2))
1.0ms	U	@	0	(/ (* U 1/2) (* J (cos (* 1/2 K))))
1.0ms	J	@	0	(+ (* (* 1/4 (* K K)) J) (* J -2))

rewrite273.0ms (2.3%)

Memory

13.8MiB live, 609.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 966×	`lower-*.f32`
5 930×	`lower-*.f64`
4 888×	`lower-/.f32`
4 874×	`lower-/.f64`
2 204×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	201
0	84	201
1	276	187
2	1724	175
0	8782	173

Stop Event

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

Counts

17 → 735

Calls

Call 1

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

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

simplify413.0ms (3.5%)

Memory

-6.5MiB live, 957.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 046×	`lower-fma.f64`
11 046×	`lower-fma.f32`
8 014×	`lower-*.f64`
8 014×	`lower-*.f32`
5 006×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	752	9095
1	2549	8689
0	8464	8133

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 455

Calls

Call 1

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

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+ 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)))))))))
(fma.f64 (.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 U U) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(+ 1 (* (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)))))))))
(fma.f64 (.f64 U U) (fma.f64 (.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (.f64 U U) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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(* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 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))))))))
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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))))))) (+ (* 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)))))))))
(.f64 U (fma.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (neg.f64 J) J) J) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 5 binary64))) (.f64 (/.f64 J (.f64 U U)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))))
(* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(* -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))))))))
(.f64 (fma.f64 J (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (.f64 U U)) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))) (neg.f64 U))
(* -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)))))))))
(neg.f64 (.f64 U (-.f64 (fma.f64 J (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (.f64 U U)) (.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))) (.f64 (/.f64 (.f64 J (.f64 J J)) (pow.f64 U #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))
(* -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))))))))))
(.f64 (fma.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (neg.f64 J) J) J) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 5 binary64))) (.f64 (/.f64 J (.f64 U U)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))) (neg.f64 U))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 U J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J)
(/.f64 (fma.f64 (.f64 J J) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) U) (.f64 (*.f64 U #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) J)
(/.f64 (fma.f64 (.f64 J J) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (fma.f64 (.f64 (neg.f64 J) J) (/.f64 (fma.f64 (cos.f64 K) (/.f64 #s(literal 1/2 binary64) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) (.f64 U U))) U) (/.f64 #s(literal 1 binary64) U))) (.f64 (*.f64 U #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J)
(/.f64 (fma.f64 (.f64 J J) (fma.f64 (.f64 J J) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (fma.f64 (cos.f64 K) (/.f64 #s(literal 1/2 binary64) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) (.f64 U U))) (/.f64 (.f64 J J) (.f64 U (.f64 U U))))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 (.f64 (fma.f64 (cos.f64 K) (/.f64 #s(literal 1/2 binary64) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) (.f64 U U))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (neg.f64 U))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) U)) (.f64 (.f64 U #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))) J)
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(fma.f64 (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 (.f64 U (.f64 K K)) U)) (.f64 J J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
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(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)

eval168.0ms (1.4%)

Memory: 16.9MiB live, 443.0MiB allocated
Compiler: Compiled 32 751 to 3 463 computations (89.4% saved)

prune154.0ms (1.3%)

Memory

-15.2MiB live, 345.2MiB allocated

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	1 225	3	1 228
Fresh	3	15	18
Picked	1	4	5
Done	0	1	1
Total	1 229	23	1 252

Accuracy

99.9%

Counts

1 252 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.7%	(fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
	47.9%	(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	24.3%	(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
▶	34.2%	(/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
	43.2%	(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64))))
	45.4%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 2 binary64) J)))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
▶	56.9%	(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
	45.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
	45.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
▶	52.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))))
✓	66.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
✓	76.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))))
✓	29.1%	(.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
▶	36.6%	(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
	52.0%	(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
	12.8%	(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) U) U) #s(literal -1 binary64)))
	11.2%	(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
	11.8%	(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) (/.f64 J (*.f64 U U))) #s(literal -1 binary64)))
	34.2%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))
▶	29.0%	(.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)))
✓	31.3%	(*.f64 J #s(literal -2 binary64))
	29.0%	(.f64 #s(literal 1/2 binary64) (.f64 U (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
✓	40.3%	(neg.f64 U)

Compiler

Compiled 825 to 569 computations (31% saved)

simplify111.0ms (0.9%)

Memory

-4.5MiB live, 113.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

1 364×	`lower-*.f32`
1 340×	`lower-*.f64`
1 222×	`lower-fma.f32`
1 212×	`lower-fma.f64`
978×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	328
0	75	328
1	146	326
2	325	326
3	709	326
4	1309	326
5	2235	326
6	2504	326
7	2832	326
8	2875	326
9	2905	326
10	2905	326
11	2932	326
12	2978	326
13	3028	326
0	3028	320

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize160.0ms (1.3%)

Memory

29.4MiB live, 300.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
✓	accuracy	90.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))))
✓	accuracy	86.7%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
✓	accuracy	74.7%	(/.f64 (.f64 U U) (.f64 J J))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) K)
✓	accuracy	100.0%	(neg.f64 U)
✓	accuracy	100.0%	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓	accuracy	99.8%	(/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))
✓	accuracy	90.4%	(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
✓	accuracy	86.8%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))
✓	accuracy	74.7%	(/.f64 (.f64 U U) (.f64 J J))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 K K)
✓	accuracy	94.8%	(.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)))
✓	accuracy	99.5%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
✓	accuracy	90.4%	(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
✓	accuracy	86.9%	(sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
✓	accuracy	74.6%	(/.f64 (.f64 U U) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))

Samples

99.0ms

256×

valid

Compiler

Compiled 349 to 46 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 36.0ms (48% of total)

ival-cos: 17.0ms (22.7% of total)

ival-div: 9.0ms (12% of total)

ival-add: 6.0ms (8% of total)

ival-sqrt: 5.0ms (6.7% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series26.0ms (0.2%)

Memory

-3.9MiB live, 42.9MiB allocated

Counts

18 → 408

Calls

Call 1

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

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

Calls

102 calls:

Time	Variable		Point	Expression
6.0ms	J	@	-inf	(sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1))
1.0ms	U	@	inf	(sqrt (/ 1 (+ (* (/ (* U U) (* J J)) 1/4) 1)))
1.0ms	J	@	inf	(sqrt (/ 1 (+ (* (/ (* U U) (* J J)) 1/4) 1)))
1.0ms	J	@	0	(sqrt (/ 1 (+ (* (/ (* U U) (* J J)) 1/4) 1)))
1.0ms	J	@	0	(* J (+ (* 1/4 (* K K)) -2))

rewrite296.0ms (2.5%)

Memory

18.6MiB live, 604.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 242×	`lower-fma.f32`
5 232×	`lower-fma.f64`
4 798×	`lower-*.f32`
4 774×	`lower-*.f64`
3 784×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	186
0	75	184
1	263	161
2	1402	161
0	8221	159

Stop Event

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

Counts

18 → 596

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (.f64 J J) (.f64 U U)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (neg.f64 (*.f64 J J)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (neg.f64 (.f64 J J)))) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (neg.f64 (*.f64 J J)))))
(neg.f64 (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (neg.f64 (*.f64 J J)))))
(/.f64 U (/.f64 (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) U))
(/.f64 (.f64 U U) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (.f64 J J) (*.f64 U U))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 (.f64 U U) J)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J J) (/.f64 (.f64 U U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J J) (.f64 U (/.f64 U (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(/.f64 (.f64 U (/.f64 U (.f64 J J))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(/.f64 (.f64 U (/.f64 U (.f64 J J))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (.f64 J J) (*.f64 U U)))))
(/.f64 (.f64 U (neg.f64 U)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (neg.f64 (*.f64 J J))))
(/.f64 (/.f64 U (*.f64 J J)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) U))
(/.f64 (/.f64 U (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 (*.f64 J J) U))
(/.f64 (/.f64 (.f64 U U) J) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (/.f64 (.f64 U U) J)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (neg.f64 J)))
(/.f64 (neg.f64 (.f64 U (/.f64 U (.f64 J J)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (.f64 U U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (.f64 J J))
(/.f64 (.f64 U (/.f64 U (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 J J))
(/.f64 (neg.f64 (/.f64 (.f64 U U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (neg.f64 (.f64 J J)))
(/.f64 (neg.f64 (.f64 U (/.f64 U (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) (neg.f64 (.f64 J J)))
(pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64))
(.f64 U (/.f64 U (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(.f64 (.f64 U U) (/.f64 #s(literal 1 binary64) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(.f64 (.f64 U (/.f64 U (*.f64 J J))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (neg.f64 (.f64 J J)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (.f64 J J) (.f64 U U))))))
(.f64 (.f64 U (neg.f64 U)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(.f64 (/.f64 U J) (/.f64 U (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 U J) (/.f64 (/.f64 U J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(.f64 (/.f64 U J) (pow.f64 (/.f64 (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) U) #s(literal -1 binary64)))
(*.f64 (/.f64 U J) (/.f64 (/.f64 U (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) J))
(.f64 (/.f64 U (.f64 J J)) (/.f64 U (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(.f64 (/.f64 U (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 U (.f64 J J)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 J J)) (/.f64 (*.f64 U U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 J J)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 U U)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U U))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 U U)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 U U) J) (/.f64 (/.f64 #s(literal 1 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal 1 binary64) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(.f64 (/.f64 U (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) U)
(.f64 (neg.f64 (.f64 U (/.f64 U (*.f64 J J)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(.f64 (/.f64 U (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (/.f64 U J))
(.f64 (/.f64 (.f64 U U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 J J)))
(.f64 (/.f64 #s(literal 1 binary64) J) (pow.f64 (/.f64 (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 U U)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 U U) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (.f64 U (/.f64 U (*.f64 J J))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 J J)) (/.f64 (*.f64 U U) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(.f64 (.f64 U (/.f64 U (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 J J)))
(.f64 (/.f64 U (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 (/.f64 U (.f64 J J)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) K)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 K) #s(literal 1/4 binary64)))))))
(.f64 (/.f64 U (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) K)))) #s(literal -1/4 binary64))) (/.f64 (/.f64 U (.f64 J J)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (.f64 U (/.f64 U (.f64 J J))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) K)))) (-.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 K) #s(literal 1/4 binary64)))))
(.f64 (/.f64 (.f64 U (/.f64 U (.f64 J J))) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)))
(.f64 (/.f64 (neg.f64 U) (.f64 J J)) (/.f64 U (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(.f64 (/.f64 U (neg.f64 (.f64 J J))) (/.f64 (neg.f64 U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(.f64 (/.f64 (neg.f64 U) J) (/.f64 U (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (neg.f64 J))))
(.f64 (/.f64 U (neg.f64 J)) (/.f64 (neg.f64 U) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(.f64 (/.f64 (neg.f64 U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 U (neg.f64 (.f64 J J))))
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(.f64 (/.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1 binary64)) #s(literal -1/4 binary64))))
(.f64 (/.f64 (.f64 J #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)) #s(literal -1/4 binary64))) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1 binary64)) #s(literal -1/4 binary64))))
(.f64 (/.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)))))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (.f64 U (.f64 U #s(literal 1/4 binary64))) (*.f64 J J)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/4 binary64) #s(literal -1 binary64))))
(-.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (.f64 J J) (.f64 J J))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U (.f64 U #s(literal 1/4 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U)))) (.f64 (.f64 J J) (.f64 (.f64 J J) (.f64 J J)))))) (/.f64 (/.f64 (.f64 U (.f64 U #s(literal 1/4 binary64))) (.f64 J J)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U (.f64 U #s(literal 1/4 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U)))) (.f64 (.f64 J J) (.f64 (.f64 J J) (.f64 J J)))))))
(-.f64 (/.f64 (/.f64 (.f64 U (.f64 U #s(literal 1/4 binary64))) (.f64 J J)) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (.f64 J J) (.f64 J J))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (.f64 J J) (*.f64 J J))) #s(literal -1 binary64))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/4 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/4 binary64) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (.f64 J J) (.f64 J J))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U (.f64 U #s(literal 1/4 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U)))) (.f64 (.f64 J J) (.f64 (.f64 J J) (.f64 J J))))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (.f64 J J) (*.f64 J J))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (.f64 J J) (.f64 J J))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/4 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U (.f64 U #s(literal 1/4 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U)))) (.f64 (.f64 J J) (.f64 (.f64 J J) (.f64 J J)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (.f64 J J) (*.f64 J J))) #s(literal -1 binary64))))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64))) #s(literal -2 binary64))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/4 binary64) #s(literal -1 binary64))))
(.f64 (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (.f64 J J) (.f64 J J))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U (.f64 U #s(literal 1/4 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U)))) (.f64 (.f64 J J) (.f64 (.f64 J J) (*.f64 J J)))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (.f64 J J) (.f64 J J))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U (.f64 U #s(literal 1/4 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U)))) (.f64 (.f64 J J) (.f64 (.f64 J J) (.f64 J J)))))) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (.f64 J J) (.f64 J J))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/4 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U (.f64 U #s(literal 1/4 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U)))) (.f64 (.f64 J J) (.f64 (.f64 J J) (.f64 J J)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (.f64 J J) (.f64 J J))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 U (/.f64 U (*.f64 J J))) #s(literal -1/4 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (.f64 J J) (.f64 J J))) #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (.f64 J J) (.f64 J J))) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal -1 binary64))) #s(literal -1 binary64)))

simplify484.0ms (4%)

Memory

-48.0MiB live, 728.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 844×	`lower-fma.f64`
12 844×	`lower-fma.f32`
9 322×	`lower-*.f64`
9 322×	`lower-*.f32`
4 646×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	827	8067
1	2661	7822
0	8354	7289

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 407

Calls

Call 1

Inputs
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (pow J 2))
(+ (* 1/4 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (/ (pow U 2) (pow J 2)))
(+ (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -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 U 2) (pow J 2)))
(+ (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (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))))))))) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* -1/4 (/ (pow U 2) (pow J 2))))) (/ (pow U 2) (pow J 2)))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ (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 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* -1 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (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))))))))
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(* J (+ (* (pow J 2) (- (* (pow J 2) (+ (* -40 (/ (pow J 2) (pow U 7))) (* 12 (/ 1 (pow U 5))))) (* 4 (/ 1 (pow U 3))))) (* 2 (/ 1 U))))
1
(+ 1 (* -1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))) (pow J 4))) (* -1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/64 (pow U 6)) (* 1/8 (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4)))))) (pow J 6))) (* -1/8 (/ (pow U 2) (pow J 2))))))
1
(+ 1 (* -1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))) (pow J 4))) (* -1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/64 (pow U 6)) (* 1/8 (* (pow U 2) (+ (* -1/16 (pow U 4)) (* 1/64 (pow U 4)))))) (pow J 6))) (* -1/8 (/ (pow U 2) (pow J 2))))))
(* -1 (* U (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 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)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 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)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 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)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 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)))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3))))))))
(* -1 (* U (cos (* 1/2 K))))
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(* U (cos (* 1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))))
1
(+ 1 (* -1/4 (/ (pow U 2) (pow J 2))))
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(+ 1 (* (pow U 2) (- (* (pow U 2) (+ (* -1/64 (/ (pow U 2) (pow J 6))) (* 1/16 (/ 1 (pow J 4))))) (* 1/4 (/ 1 (pow J 2))))))
(* 4 (/ (pow J 2) (pow U 2)))
(/ (+ (* -16 (/ (pow J 4) (pow U 2))) (* 4 (pow J 2))) (pow U 2))
(/ (- (+ (* 4 (pow J 2)) (* 64 (/ (pow J 6) (pow U 4)))) (* 16 (/ (pow J 4) (pow U 2)))) (pow U 2))
(/ (- (+ (* -256 (/ (pow J 8) (pow U 6))) (* 4 (pow J 2))) (+ (* -64 (/ (pow J 6) (pow U 4))) (* 16 (/ (pow J 4) (pow U 2))))) (pow U 2))
(* 4 (/ (pow J 2) (pow U 2)))
(/ (+ (* -16 (/ (pow J 4) (pow U 2))) (* 4 (pow J 2))) (pow U 2))
(/ (- (+ (* 4 (pow J 2)) (* 64 (/ (pow J 6) (pow U 4)))) (* 16 (/ (pow J 4) (pow U 2)))) (pow U 2))
(/ (- (+ (* -256 (/ (pow J 8) (pow U 6))) (* 4 (pow J 2))) (+ (* -64 (/ (pow J 6) (pow U 4))) (* 16 (/ (pow J 4) (pow U 2))))) (pow U 2))
(* 4 (/ (pow J 2) (pow U 2)))
(* (pow J 2) (+ (* -16 (/ (pow J 2) (pow U 4))) (* 4 (/ 1 (pow U 2)))))
(* (pow J 2) (+ (* (pow J 2) (- (* 64 (/ (pow J 2) (pow U 6))) (* 16 (/ 1 (pow U 4))))) (* 4 (/ 1 (pow U 2)))))
(* (pow J 2) (+ (* (pow J 2) (- (* (pow J 2) (+ (* -256 (/ (pow J 2) (pow U 8))) (* 64 (/ 1 (pow U 6))))) (* 16 (/ 1 (pow U 4))))) (* 4 (/ 1 (pow U 2)))))
1
(+ 1 (* -1/4 (/ (pow U 2) (pow J 2))))
(- (+ 1 (* 1/16 (/ (pow U 4) (pow J 4)))) (* 1/4 (/ (pow U 2) (pow J 2))))
(- (+ 1 (* -1/64 (/ (pow U 6) (pow J 6)))) (+ (* -1/16 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))
1
(+ 1 (* -1/4 (/ (pow U 2) (pow J 2))))
(- (+ 1 (* 1/16 (/ (pow U 4) (pow J 4)))) (* 1/4 (/ (pow U 2) (pow J 2))))
(- (+ 1 (* -1/64 (/ (pow U 6) (pow J 6)))) (+ (* -1/16 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))

Outputs
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/.f64 (.f64 U U) (.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
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(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
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(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/.f64 (.f64 U U) (.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/.f64 (.f64 U U) (.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
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(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/.f64 (.f64 U U) (.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/.f64 (.f64 U U) (.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
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(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
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(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
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(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
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(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
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(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
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(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
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(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
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(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
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(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
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(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
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(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
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(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
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(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
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(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/.f64 (.f64 U U) (.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
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(/ (pow U 2) (pow J 2))
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(+ (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (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))))))))) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* -1/4 (/ (pow U 2) (pow J 2))))) (/ (pow U 2) (pow J 2)))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 13/2880 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/96 binary64))) (neg.f64 (.f64 K K)) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/24 binary64))) (/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 J J))) (/.f64 (.f64 U U) (.f64 J J)))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/.f64 (.f64 U U) (.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/.f64 (.f64 U U) (.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/.f64 (.f64 U U) (.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/.f64 (.f64 U U) (.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/.f64 (.f64 U U) (.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/.f64 (.f64 U U) (.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
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(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
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1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (.f64 U U) (.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal 1/8 binary64) #s(literal 1 binary64))
(+ 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)))))))))
(fma.f64 (.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 U U) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(+ 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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(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) J))
(* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))
(.f64 U (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J) (.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(* 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))))))))
(.f64 U (fma.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (neg.f64 (/.f64 (.f64 J (.f64 J J)) (pow.f64 U #s(literal 4 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J) (.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))
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(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))
(.f64 (neg.f64 U) (-.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(.f64 (neg.f64 U) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (-.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))))
(.f64 (neg.f64 U) (fma.f64 (pow.f64 J #s(literal 6 binary64)) (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (-.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (pow U 2) (pow J 2))))
(fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow U 2) (- (* 1/16 (/ (pow U 2) (pow J 4))) (* 1/4 (/ 1 (pow J 2))))))
(fma.f64 (.f64 U U) (fma.f64 (/.f64 (.f64 U U) (pow.f64 J #s(literal 4 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* (pow U 2) (- (* (pow U 2) (+ (* -1/64 (/ (pow U 2) (pow J 6))) (* 1/16 (/ 1 (pow J 4))))) (* 1/4 (/ 1 (pow J 2))))))
(fma.f64 (.f64 U U) (fma.f64 (.f64 U U) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 U U) (pow.f64 J #s(literal 6 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 J #s(literal 4 binary64)))) (/.f64 #s(literal -1/4 binary64) (.f64 J J))) #s(literal 1 binary64))
(* 4 (/ (pow J 2) (pow U 2)))
(/.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) (*.f64 U U))
(/ (+ (* -16 (/ (pow J 4) (pow U 2))) (* 4 (pow J 2))) (pow U 2))
(/.f64 (fma.f64 J (.f64 J #s(literal 4 binary64)) (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 J #s(literal 4 binary64))) (.f64 U U))) (.f64 U U))
(/ (- (+ (* 4 (pow J 2)) (* 64 (/ (pow J 6) (pow U 4)))) (* 16 (/ (pow J 4) (pow U 2)))) (pow U 2))
(/.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 J (.f64 J #s(literal 4 binary64)) (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 J #s(literal 4 binary64))) (.f64 U U)))) (.f64 U U))
(/ (- (+ (* -256 (/ (pow J 8) (pow U 6))) (* 4 (pow J 2))) (+ (* -64 (/ (pow J 6) (pow U 4))) (* 16 (/ (pow J 4) (pow U 2))))) (pow U 2))
(/.f64 (-.f64 (fma.f64 J (.f64 J #s(literal 4 binary64)) (/.f64 (.f64 #s(literal -256 binary64) (pow.f64 J #s(literal 8 binary64))) (pow.f64 U #s(literal 6 binary64)))) (fma.f64 #s(literal -64 binary64) (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 J #s(literal 4 binary64))) (.f64 U U)))) (*.f64 U U))
(* 4 (/ (pow J 2) (pow U 2)))
(/.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) (*.f64 U U))
(/ (+ (* -16 (/ (pow J 4) (pow U 2))) (* 4 (pow J 2))) (pow U 2))
(/.f64 (fma.f64 J (.f64 J #s(literal 4 binary64)) (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 J #s(literal 4 binary64))) (.f64 U U))) (.f64 U U))
(/ (- (+ (* 4 (pow J 2)) (* 64 (/ (pow J 6) (pow U 4)))) (* 16 (/ (pow J 4) (pow U 2)))) (pow U 2))
(/.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 J (.f64 J #s(literal 4 binary64)) (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 J #s(literal 4 binary64))) (.f64 U U)))) (.f64 U U))
(/ (- (+ (* -256 (/ (pow J 8) (pow U 6))) (* 4 (pow J 2))) (+ (* -64 (/ (pow J 6) (pow U 4))) (* 16 (/ (pow J 4) (pow U 2))))) (pow U 2))
(/.f64 (-.f64 (fma.f64 J (.f64 J #s(literal 4 binary64)) (/.f64 (.f64 #s(literal -256 binary64) (pow.f64 J #s(literal 8 binary64))) (pow.f64 U #s(literal 6 binary64)))) (fma.f64 #s(literal -64 binary64) (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 J #s(literal 4 binary64))) (.f64 U U)))) (*.f64 U U))
(* 4 (/ (pow J 2) (pow U 2)))
(/.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) (*.f64 U U))
(* (pow J 2) (+ (* -16 (/ (pow J 2) (pow U 4))) (* 4 (/ 1 (pow U 2)))))
(.f64 (.f64 J J) (fma.f64 #s(literal -16 binary64) (/.f64 (.f64 J J) (pow.f64 U #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (.f64 U U))))
(* (pow J 2) (+ (* (pow J 2) (- (* 64 (/ (pow J 2) (pow U 6))) (* 16 (/ 1 (pow U 4))))) (* 4 (/ 1 (pow U 2)))))
(.f64 (.f64 J J) (fma.f64 (.f64 J J) (fma.f64 #s(literal 64 binary64) (/.f64 (.f64 J J) (pow.f64 U #s(literal 6 binary64))) (/.f64 #s(literal -16 binary64) (pow.f64 U #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (*.f64 U U))))
(* (pow J 2) (+ (* (pow J 2) (- (* (pow J 2) (+ (* -256 (/ (pow J 2) (pow U 8))) (* 64 (/ 1 (pow U 6))))) (* 16 (/ 1 (pow U 4))))) (* 4 (/ 1 (pow U 2)))))
(.f64 (.f64 J J) (fma.f64 (.f64 J J) (fma.f64 (.f64 J J) (fma.f64 #s(literal -256 binary64) (/.f64 (.f64 J J) (pow.f64 U #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 U #s(literal 6 binary64)))) (/.f64 #s(literal -16 binary64) (pow.f64 U #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (.f64 U U))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (pow U 2) (pow J 2))))
(fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/4 binary64) #s(literal 1 binary64))
(- (+ 1 (* 1/16 (/ (pow U 4) (pow J 4)))) (* 1/4 (/ (pow U 2) (pow J 2))))
(fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(- (+ 1 (* -1/64 (/ (pow U 6) (pow J 6)))) (+ (* -1/16 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))
(-.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (pow U 2) (pow J 2))))
(fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/4 binary64) #s(literal 1 binary64))
(- (+ 1 (* 1/16 (/ (pow U 4) (pow J 4)))) (* 1/4 (/ (pow U 2) (pow J 2))))
(fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(- (+ 1 (* -1/64 (/ (pow U 6) (pow J 6)))) (+ (* -1/16 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))
(-.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64)))))

eval179.0ms (1.5%)

Memory: 32.9MiB live, 264.5MiB allocated
Compiler: Compiled 29 874 to 3 346 computations (88.8% saved)

prune146.0ms (1.2%)

Memory

0.3MiB live, 332.8MiB allocated

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	1 108	14	1 122
Fresh	3	10	13
Picked	3	2	5
Done	2	3	5
Total	1 116	29	1 145

Accuracy

99.9%

Counts

1 145 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.7%	(fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
	47.9%	(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	24.3%	(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
	28.9%	(/.f64 (neg.f64 U) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))
	42.4%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))))
	59.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)))))))
	38.6%	(-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) U) U)
	45.4%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 2 binary64) J)))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	45.5%	(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 (/.f64 (.f64 U U) (.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
✓	56.9%	(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
	76.9%	(.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 (.f64 (/.f64 U (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
	45.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
	44.0%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 U U) (*.f64 J J)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
✓	66.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
	10.5%	(.f64 (.f64 J #s(literal -2 binary64)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))
	8.8%	(.f64 (.f64 J #s(literal -2 binary64)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))
	50.5%	(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))
	12.1%	(.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))
	52.0%	(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
	12.8%	(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) U) U) #s(literal -1 binary64)))
	11.2%	(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
	11.8%	(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) (/.f64 J (*.f64 U U))) #s(literal -1 binary64)))
	2.7%	(.f64 K (.f64 K (*.f64 J #s(literal 1/4 binary64))))
✓	29.0%	(.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)))
	28.2%	(.f64 J (.f64 (fma.f64 (.f64 K K) (.f64 (.f64 K K) #s(literal 1/16 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal 2 binary64)))))
	2.7%	(.f64 J (.f64 K (*.f64 K #s(literal 1/4 binary64))))
✓	31.3%	(*.f64 J #s(literal -2 binary64))
	29.0%	(.f64 #s(literal 1/2 binary64) (.f64 U (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
✓	40.3%	(neg.f64 U)

Compiler

Compiled 1 431 to 598 computations (58.2% saved)

regimes137.0ms (1.1%)

Memory

-26.2MiB live, 128.4MiB allocated

Counts

51 → 3

Calls

Call 1

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

Outputs

(neg.f64 U)

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

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

Calls

6 calls:

53.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
20.0ms	K
18.0ms	J
14.0ms	U
14.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
82.0%	2	`J`
76.9%	1	`K`
81.1%	2	`U`
99.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
76.9%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
76.9%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes15.0ms (0.1%)

Memory

25.7MiB live, 25.7MiB allocated

Counts

49 → 3

Calls

Call 1

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

Outputs

(neg.f64 U)

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

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

Calls

1 calls:

13.0ms

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

Results

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

Compiler

Compiled 27 to 17 computations (37% saved)

regimes15.0ms (0.1%)

Memory

-11.0MiB live, 27.1MiB allocated

Counts

45 → 3

Calls

Call 1

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

Outputs

(neg.f64 U)

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

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

Calls

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
89.5%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes22.0ms (0.2%)

Memory

1.4MiB live, 38.3MiB allocated

Counts

33 → 5

Calls

Call 1

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

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

Calls

2 calls:

11.0ms

9.0ms

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

Results

Accuracy	Segments	Branch
71.3%	3	`J`
86.1%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes38.0ms (0.3%)

Memory

-4.1MiB live, 78.2MiB allocated

Counts

23 → 4

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	K
8.0ms	U
7.0ms	(/.f64 K #s(literal 2 binary64))
7.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
6.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
65.4%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
55.1%	2	`K`
55.1%	2	`(/.f64 K #s(literal 2 binary64))`
60.9%	2	`U`
79.5%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 48 to 34 computations (29.2% saved)

regimes12.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

17 → 7

Calls

Call 1

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

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

Calls

2 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
53.5%	3	`J`
72.9%	7	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes15.0ms (0.1%)

Memory

-11.5MiB live, 26.5MiB allocated

Counts

13 → 5

Calls

Call 1

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

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

Calls

3 calls:

6.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
55.0%	2	`U`
50.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
62.7%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes5.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

11 → 4

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
59.8%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes15.0ms (0.1%)

Memory

-10.2MiB live, 29.2MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
3.0ms	K
3.0ms	(/.f64 K #s(literal 2 binary64))
3.0ms	U

Results

Accuracy	Segments	Branch
55.0%	2	`U`
45.3%	3	`K`
45.3%	3	`(/.f64 K #s(literal 2 binary64))`
50.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 41 to 28 computations (31.7% saved)

regimes9.0ms (0.1%)

Memory

-19.3MiB live, 19.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 U)

Outputs
(neg.f64 U)

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
40.3%	1	`K`
40.3%	1	`(/.f64 K #s(literal 2 binary64))`
40.3%	1	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
40.3%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
40.3%	1	`J`
40.3%	1	`U`

Compiler

Compiled 52 to 37 computations (28.8% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.6432030683819882e+297	+inf
0.0ms	-inf	-6.389594525436142e+305

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.6432030683819882e+297	+inf
0.0ms	-inf	-6.389594525436142e+305

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.6432030683819882e+297	+inf
0.0ms	-inf	-6.389594525436142e+305

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.6432030683819882e+297	+inf
0.0ms	-1.0406217774606287e-289	1.2996882350701307e-225
0.0ms	-8.432157721805546e+210	-3.602682563907578e+210
0.0ms	-inf	-6.389594525436142e+305

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.6432030683819882e+297	+inf
0.0ms	-1.0406217774606287e-289	1.2996882350701307e-225
0.0ms	-inf	-6.389594525436142e+305

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

6×	left-value

Steps

Time	Left	Right
0.0ms	1.6432030683819882e+297	+inf
0.0ms	-1.0406217774606287e-289	1.2996882350701307e-225
0.0ms	-3.619505691163113e-129	-8.079395975112311e-132
0.0ms	-1.7187765613312347e+168	-3.8740914613094995e+167
0.0ms	-2.8584553448242966e+196	-7.914038520601601e+190
0.0ms	-inf	-6.389594525436142e+305

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.6432030683819882e+297	+inf
0.0ms	-1.0406217774606287e-289	1.2996882350701307e-225
0.0ms	-7.151502859622747e-78	-2.2966252895282954e-87
0.0ms	-inf	-6.389594525436142e+305

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-1.0406217774606287e-289	1.2996882350701307e-225
0.0ms	-7.151502859622747e-78	-2.2966252895282954e-87
0.0ms	-inf	-6.389594525436142e+305

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch13.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.441727731198563e-33	9.187023477219106e-33

Samples

9.0ms

80×

valid

Compiler

Compiled 95 to 78 computations (17.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 2.0ms (29.9% of total)

ival-cos: 2.0ms (29.9% of total)

ival-div: 1.0ms (14.9% of total)

ival-sqrt: 1.0ms (14.9% of total)

ival-pow2: 1.0ms (14.9% of total)

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

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

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

exact: 0.0ms (0% of total)

simplify19.0ms (0.2%)

Memory

-22.4MiB live, 19.2MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`*-commutative_binary64`
10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	1018
1	132	1018
2	141	1018
3	148	1018
4	151	1018
5	152	1018

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (.f64 U U)) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 (.f64 (/.f64 U (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) (.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -4388899255034951/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 binary64)) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))) (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 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))) (.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (.f64 U U)) #s(literal -1 binary64)))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -4388899255034951/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 binary64)) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))) (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 2000000000000000035305602925512759428749757561439729553678886278239489647738510486138024445766940718157644145658438822457069868805425249411230900984655958913001590912678403523898902321614894589055312445487235184097699935780211662725723584850659655856794504748796766044486617020781396860116918075392 binary64)) (.f64 (.f64 J #s(literal -2 binary64)) (.f64 (/.f64 U J) #s(literal -1/2 binary64))) (.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (.f64 U U)) #s(literal -1 binary64))))))
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(neg.f64 U)

Outputs
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(if (<=.f64 U #s(literal 5699856385590521/730750818665451459101842416358141509827966271488 binary64)) (*.f64 J #s(literal -2 binary64)) (neg.f64 U))
(if (<=.f64 U #s(literal 5699856385590521/730750818665451459101842416358141509827966271488 binary64)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))
(neg.f64 U)

soundness1.4s (11.4%)

Memory

55.8MiB live, 1 192.5MiB allocated

Rules

19 224×	`lower-fma.f64`
19 224×	`lower-fma.f32`
12 844×	`lower-fma.f64`
12 844×	`lower-fma.f32`
10 888×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	812	10834
1	2662	10560
0	8504	9996
0	47	240
0	87	264
1	290	194
2	2010	190
0	8589	190
0	39	186
0	75	184
1	263	161
2	1402	161
0	8221	159
0	348	3609
1	1123	3501
2	4446	3369
0	8412	3217
0	17	59
0	28	59
1	79	59
2	432	59
3	4344	59
0	8109	59
0	827	8067
1	2661	7822
0	8354	7289

Stop Event

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

Compiler

Compiled 1 842 to 709 computations (61.5% saved)

preprocess211.0ms (1.8%)

Memory: -46.5MiB live, 291.2MiB allocated
Remove: (abs K)
Compiler: Compiled 3 056 to 536 computations (82.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze316.0ms (2.6%)

sample1.8s (15.1%)

preprocess123.0ms (1%)

explain280.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify53.0ms (0.4%)

localize58.0ms (0.5%)

series33.0ms (0.3%)

rewrite274.0ms (2.3%)

simplify517.0ms (4.3%)

eval73.0ms (0.6%)

prune94.0ms (0.8%)

simplify233.0ms (1.9%)

localize281.0ms (2.3%)

series94.0ms (0.8%)

rewrite890.0ms (7.4%)

simplify1.0s (8.4%)

eval483.0ms (4%)

prune468.0ms (3.9%)

simplify309.0ms (2.6%)

localize219.0ms (1.8%)

series47.0ms (0.4%)

rewrite273.0ms (2.3%)

simplify413.0ms (3.5%)

eval168.0ms (1.4%)

prune154.0ms (1.3%)

simplify111.0ms (0.9%)

localize160.0ms (1.3%)

series26.0ms (0.2%)

rewrite296.0ms (2.5%)

simplify484.0ms (4%)

eval179.0ms (1.5%)

prune146.0ms (1.2%)

regimes137.0ms (1.1%)

regimes15.0ms (0.1%)

regimes15.0ms (0.1%)

regimes22.0ms (0.2%)

regimes38.0ms (0.3%)

regimes12.0ms (0.1%)

regimes15.0ms (0.1%)

regimes5.0ms (0%)

regimes15.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.1%)

simplify19.0ms (0.2%)

soundness1.4s (11.4%)

preprocess211.0ms (1.8%)

end0.0ms (0%)

Profiling