Metrics for Maksimov and Kolovsky, Equation (3)

analyze270.0ms (1.9%)

Memory

12.9MiB live, 525.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.7s (12.1%)

Memory

-109.1MiB live, 2 296.9MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 812.0ms

ival-mult: 280.0ms (34.5% of total)

ival-cos: 208.0ms (25.6% of total)

ival-div: 109.0ms (13.4% of total)

ival-pow2: 86.0ms (10.6% of total)

ival-sqrt: 69.0ms (8.5% of total)

ival-add: 39.0ms (4.8% of total)

exact: 12.0ms (1.5% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess103.0ms (0.7%)

Memory

-22.4MiB live, 96.8MiB 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)

explain238.0ms (1.7%)

Memory

3.0MiB live, 399.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
30	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)))))`
24	0	-	-	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`
0	0	-	-	`(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	0	-	-	`K`
0	0	-	-	`(/.f64 K #s(literal 2 binary64))`
0	0	-	-	`#s(literal 1 binary64)`
0	122	(1.351139276259633e+128 8.342858880610461e+276 4.915103305027681e-82)	-	`(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	122	1
`*.f64`	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`	*no**	30	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	24	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	30
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	30
↳	`(+.f64 #s(literal 1 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	54
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	54

Confusion

	Predicted +	Predicted -
+	54	0
-	101	101

Precision

0.34838709677419355

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	54	0	0
-	101	1	100

Precision?

0.34615384615384615

Recall?

1.0

Freqs

test

number	freq
0	101
1	134
2	21

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

71.0ms

512×

valid

Compiler

Compiled 278 to 72 computations (74.1% saved)

Precisions

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

ival-mult: 18.0ms (37.4% of total)

ival-cos: 11.0ms (22.9% of total)

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

ival-pow2: 5.0ms (10.4% of total)

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

ival-add: 2.0ms (4.2% of total)

exact: 1.0ms (2.1% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.0%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Status

Accuracy

Program

▶

80.0%

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

Compiler

Compiled 27 to 17 computations (37% saved)

simplify74.0ms (0.5%)

Memory

16.9MiB live, 54.9MiB 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))

localize79.0ms (0.6%)

Memory

17.6MiB live, 55.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 U (.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	91.1%	(sqrt.f64 (+.f64 #s(literal 1 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	88.9%	(.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)))))

Samples

59.0ms

256×

valid

Compiler

Compiled 112 to 19 computations (83% saved)

Precisions

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

ival-div: 29.0ms (60.4% of total)

ival-mult: 8.0ms (16.6% of total)

ival-cos: 6.0ms (12.5% of total)

ival-sqrt: 2.0ms (4.2% of total)

ival-pow2: 2.0ms (4.2% of total)

ival-add: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series76.0ms (0.5%)

Memory

0.4MiB live, 42.9MiB allocated

Counts

7 → 192

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
42.0ms	K	@	0	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
4.0ms	K	@	inf	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
3.0ms	J	@	0	(* -2 J)
2.0ms	K	@	-inf	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
2.0ms	J	@	0	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))

rewrite433.0ms (3.1%)

Memory

-4.3MiB live, 349.1MiB 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	76
0	28	76
1	79	76
2	432	76
3	4364	76
0	8129	76

Stop Event

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

Counts

7 → 403

Calls

Call 1

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

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

simplify673.0ms (4.8%)

Memory

-12.5MiB live, 581.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 100×	`lower-fma.f64`
15 100×	`lower-fma.f32`
7 328×	`lower-*.f64`
7 328×	`lower-*.f32`
4 030×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 191

Calls

Call 1

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

Outputs
(* -1 U)
(neg.f64 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
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(fma.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 (/.f64 U J) #s(literal 5/768 binary64))) (.f64 (/.f64 U J) (fma.f64 #s(literal 1/16 binary64) (.f64 K K) #s(literal 1/2 binary64))))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(fma.f64 (/.f64 U J) (fma.f64 #s(literal 1/16 binary64) (.f64 K K) #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 K K) (.f64 (.f64 (/.f64 U J) #s(literal -61/46080 binary64)) #s(literal -1/2 binary64)) (.f64 (/.f64 U J) #s(literal 5/768 binary64))) (.f64 (.f64 K K) (*.f64 K K))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))

eval200.0ms (1.4%)

Memory: 16.6MiB live, 166.4MiB allocated
Compiler: Compiled 19 886 to 2 341 computations (88.2% saved)

prune226.0ms (1.6%)

Memory

-2.1MiB live, 192.9MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	596	16	612
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	597	16	613

Accuracy

99.9%

Counts

613 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.0%	(fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	43.1%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	65.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.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 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
▶	26.7%	(.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)))))
	11.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
▶	54.3%	(.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))))
	70.2%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 U J)) #s(literal 2 binary64)))))
▶	76.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) (.f64 U #s(literal 1/2 binary64))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))))
▶	76.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))))))))
	65.6%	(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
	65.6%	(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
	32.3%	(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))
	11.0%	(.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)))
	55.8%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
	28.2%	(.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 U U)) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))))
▶	36.7%	(neg.f64 U)

Compiler

Compiled 906 to 584 computations (35.5% saved)

simplify313.0ms (2.2%)

Memory

-13.1MiB live, 396.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

5 896×	`lower-*.f32`
5 858×	`lower-*.f64`
3 772×	`lower-fma.f32`
3 770×	`lower-fma.f64`
2 108×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	519
0	87	515
1	178	499
2	498	451
3	1801	451
4	3398	449
5	3490	449
6	3989	449
7	5434	449
8	5963	446
9	6922	446
0	8588	434

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

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

localize250.0ms (1.8%)

Memory

13.8MiB live, 408.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	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	92.8%	(/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))
✓	accuracy	91.1%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))
✓	accuracy	88.9%	(.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 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))))))))
✓	accuracy	99.8%	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	99.8%	(.f64 J (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	76.7%	(.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)))))
✓	accuracy	99.8%	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	91.1%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))
✓	accuracy	88.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
✓	accuracy	73.4%	(/.f64 (.f64 U U) (.f64 J J))
✓	accuracy	100.0%	(neg.f64 U)
✓	accuracy	99.8%	(.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) (*.f64 U #s(literal 1/2 binary64)))
✓	accuracy	92.8%	(/.f64 (.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) (.f64 U #s(literal 1/2 binary64))) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
✓	accuracy	91.1%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) (.f64 U #s(literal 1/2 binary64))) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
✓	accuracy	88.9%	(.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 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) (.f64 U #s(literal 1/2 binary64))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))))

Samples

141.0ms

256×

valid

Compiler

Compiled 524 to 50 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 31.0ms (40.3% of total)

ival-cos: 20.0ms (26% of total)

ival-div: 11.0ms (14.3% of total)

ival-sqrt: 8.0ms (10.4% of total)

ival-add: 5.0ms (6.5% 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)

series67.0ms (0.5%)

Memory

18.9MiB live, 175.4MiB allocated

Counts

22 → 612

Calls

Call 1

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

Outputs
#<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 (* 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) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) J))>
#<alt (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) J)) (* 1/4 (/ (pow U 2) J)))>
#<alt (+ (* 1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))) (* 1/32 (/ (pow U 2) J)))))>
#<alt (+ (* 1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* -1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
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#<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 (* 1/8 (/ (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>
#<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)))>

Calls

153 calls:

Time	Variable		Point	Expression
7.0ms	K	@	-inf	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)))
4.0ms	J	@	0	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)))
4.0ms	U	@	inf	(/ (* U U) (* J J))
2.0ms	U	@	inf	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)))
2.0ms	J	@	0	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))))

rewrite337.0ms (2.4%)

Memory

-38.1MiB live, 534.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 152×	`lower-/.f32`
5 138×	`lower-/.f64`
3 940×	`lower-*.f32`
3 902×	`lower-*.f64`
3 358×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	339
0	87	339
1	290	307
2	2034	255
0	8211	252

Stop Event

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

Counts

22 → 898

Calls

Call 1

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

simplify450.0ms (3.2%)

Memory

28.2MiB live, 894.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 822×	`lower-fma.f64`
7 822×	`lower-fma.f32`
6 146×	`lower-*.f64`
6 146×	`lower-*.f32`
5 442×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	840	12291
1	2783	12013
2	7595	12008
0	8038	11316

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 598

Calls

Call 1

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

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

eval327.0ms (2.3%)

Memory: 4.0MiB live, 598.7MiB allocated
Compiler: Compiled 54 292 to 4 759 computations (91.2% saved)

prune218.0ms (1.6%)

Memory

-12.8MiB live, 588.7MiB allocated

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	1 680	32	1 712
Fresh	8	3	11
Picked	4	1	5
Done	0	0	0
Total	1 692	36	1 728

Accuracy

99.9%

Counts

1 728 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.0%	(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
	8.5%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
▶	18.5%	(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
	8.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U)))))
	18.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
	29.4%	(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64))) (.f64 #s(literal 1/4 binary64) 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))))
	29.1%	(.f64 (fma.f64 (.f64 K K) (fma.f64 #s(literal 1/4 binary64) J (.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64))) (.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))))
	29.4%	(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)) (.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))))
	43.1%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	26.7%	(.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))))
	8.4%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U)))))
	29.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
▶	29.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
	47.9%	(.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 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
	47.9%	(.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)))
	11.6%	(.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)))))
	59.9%	(.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 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))))
▶	26.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) U))
▶	24.2%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
	68.4%	(.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))))
	39.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (fma.f64 J J (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 J J))))
▶	79.9%	(.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 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) U) #s(literal -2 binary64)))))
	76.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))
	59.9%	(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
	65.5%	(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
	65.6%	(.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64)))
	24.3%	(.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)))))
	32.3%	(.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))))
	55.8%	(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
	18.5%	(.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
	11.0%	(.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)))
	32.3%	(.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)))
	59.3%	(.f64 #s(literal -2 binary64) (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 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)))))
	47.6%	(neg.f64 (.f64 (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
✓	36.7%	(neg.f64 U)

Compiler

Compiled 1 665 to 1 120 computations (32.7% saved)

simplify256.0ms (1.8%)

Memory

1.5MiB live, 417.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) J)
✓	cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	cost-diff	640	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) U))
✓	cost-diff	0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) J)
✓	cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	cost-diff	1024	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
✓	cost-diff	0	(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) J)
✓	cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 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 U U)
✓	cost-diff	0	(neg.f64 (*.f64 U U))
✓	cost-diff	192	(+.f64 #s(literal 0 binary64) U)
✓	cost-diff	1024	(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
✓	cost-diff	0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) J)
✓	cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) U) #s(literal -2 binary64)))))

Rules

4 704×	`lower-*.f32`
4 672×	`lower-*.f64`
4 418×	`lower-fma.f32`
4 412×	`lower-fma.f64`
1 792×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	365
0	80	361
1	161	361
2	501	353
3	1805	353
4	4284	349
5	5026	349
6	5907	349
7	6927	349
0	8060	349

Stop Event

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

Calls

Call 1

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

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

localize175.0ms (1.3%)

Memory

-0.1MiB live, 433.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)
✓	accuracy	99.8%	(/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) U)
✓	accuracy	76.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) U))
✓	accuracy	100.0%	(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	99.7%	(*.f64 U (/.f64 #s(literal 1/2 binary64) J))
✓	accuracy	76.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
✓	accuracy	97.0%	(.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
✓	accuracy	92.2%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
✓	accuracy	91.1%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))
✓	accuracy	73.4%	(/.f64 (.f64 U U) (.f64 J J))
✓	accuracy	100.0%	(+.f64 #s(literal 0 binary64) U)
✓	accuracy	100.0%	(*.f64 U U)
✓	accuracy	100.0%	(neg.f64 (*.f64 U U))
✓	accuracy	53.6%	(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
✓	accuracy	99.8%	(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
✓	accuracy	99.6%	(pow.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U) #s(literal -2 binary64))
✓	accuracy	91.1%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U) #s(literal -2 binary64))))
✓	accuracy	88.9%	(.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 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) U) #s(literal -2 binary64)))))

Samples

101.0ms

256×

valid

Compiler

Compiled 377 to 49 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 26.0ms (37.9% of total)

ival-div: 12.0ms (17.5% of total)

ival-cos: 10.0ms (14.6% of total)

ival-add: 6.0ms (8.7% of total)

const: 5.0ms (7.3% of total)

ival-sqrt: 4.0ms (5.8% of total)

ival-pow: 4.0ms (5.8% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

series47.0ms (0.3%)

Memory

9.1MiB live, 84.5MiB allocated

Counts

22 → 528

Calls

Call 1

Inputs
#<alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) U) #s(literal -2 binary64)))))>
#<alt (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) J)>
#<alt (cos.f64 (/.f64 K #s(literal 2 binary64)))>
#<alt (/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))>
#<alt (+.f64 #s(literal 0 binary64) U)>
#<alt (neg.f64 (*.f64 U U))>
#<alt (*.f64 U U)>
#<alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 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) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))>
#<alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))>
#<alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) U))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U) #s(literal -2 binary64))))>
#<alt (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U) #s(literal -2 binary64))>
#<alt (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.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 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))>
#<alt (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) U)>
#<alt (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))>
#<alt (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)>

Outputs
#<alt (* -1 U)>
#<alt (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))>
#<alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))>
#<alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))>
#<alt (* -1 U)>
#<alt (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))>
#<alt (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))>
#<alt (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))>
#<alt U>
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))>
#<alt (* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))>
#<alt (* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
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#<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 (* 1/4 (/ (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 (* 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 (* 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))))>
#<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 (/ (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 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 (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<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 (* 1/2 (/ 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 (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 J)>
#<alt (+ (* 1/16 (/ (pow K 2) J)) (* 1/2 (/ 1 J)))>
#<alt (+ (* (pow K 2) (+ (* 5/768 (/ (pow K 2) J)) (* 1/16 (/ 1 J)))) (* 1/2 (/ 1 J)))>
#<alt (+ (* (pow K 2) (+ (* (pow K 2) (+ (* 61/92160 (/ (pow K 2) J)) (* 5/768 (/ 1 J)))) (* 1/16 (/ 1 J)))) (* 1/2 (/ 1 J)))>
#<alt (/ 1/2 (* J (cos (* 1/2 K))))>
#<alt (/ 1/2 (* J (cos (* 1/2 K))))>
#<alt (/ 1/2 (* J (cos (* 1/2 K))))>
#<alt (/ 1/2 (* J (cos (* 1/2 K))))>
#<alt (/ 1/2 (* J (cos (* 1/2 K))))>
#<alt (/ 1/2 (* J (cos (* 1/2 K))))>
#<alt (/ 1/2 (* J (cos (* 1/2 K))))>
#<alt (/ 1/2 (* J (cos (* 1/2 K))))>
#<alt (/ 1/2 (* J (cos (* 1/2 K))))>
#<alt (/ 1/2 (* J (cos (* 1/2 K))))>
#<alt (/ 1/2 (* J (cos (* 1/2 K))))>
#<alt (/ 1/2 (* J (cos (* 1/2 K))))>
#<alt (/ 1/2 (* J (cos (* 1/2 K))))>
#<alt (/ 1/2 (* J (cos (* 1/2 K))))>
#<alt (/ 1/2 (* J (cos (* 1/2 K))))>
#<alt (/ 1/2 (* J (cos (* 1/2 K))))>
#<alt (/ 1/2 (* J (cos (* 1/2 K))))>
#<alt (/ 1/2 (* J (cos (* 1/2 K))))>
#<alt (/ 1/2 (* J (cos (* 1/2 K))))>
#<alt (/ 1/2 (* J (cos (* 1/2 K))))>
#<alt J>
#<alt (+ J (* -1/8 (* J (pow K 2))))>
#<alt (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))>
#<alt (+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>

Calls

132 calls:

Time	Variable		Point	Expression
16.0ms	J	@	inf	(/ 1/2 (* (cos (* K 1/2)) J))
2.0ms	J	@	0	(* (* (* -2 J) (cos (/ K 2))) (* U (/ 1/2 J)))
2.0ms	K	@	inf	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* (cos (* K 1/2)) (* J 2)) U) -2))))
1.0ms	J	@	0	(* (* -2 J) (+ (* (* K K) (+ (* (* K K) 1/384) -1/8)) 1))
1.0ms	J	@	0	(* (* (* -2 J) (+ (* (* K K) (+ (* (* K K) 1/384) -1/8)) 1)) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)))

rewrite317.0ms (2.3%)

Memory

26.6MiB live, 461.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 930×	`lower-/.f32`
3 918×	`lower-/.f64`
3 576×	`lower-*.f32`
3 544×	`lower-*.f64`
3 380×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	225
0	80	221
1	278	211
2	1971	211
0	8603	209

Stop Event

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

Counts

22 → 1 022

Calls

Call 1

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

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

simplify562.0ms (4%)

Memory

11.3MiB live, 712.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 406×	`lower-fma.f64`
12 406×	`lower-fma.f32`
8 660×	`lower-*.f64`
8 660×	`lower-*.f32`
4 194×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	658	8230
1	2204	7974
0	8362	7534

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 514

Calls

Call 1

Inputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
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(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
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(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
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(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
1
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1
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1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
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(* 1/2 (/ U (* J (cos (* 1/2 K)))))
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(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
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(* 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))))
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(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
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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) (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))))
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(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 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)
(+ (* -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))))
(* 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))))
(/ (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))
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(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
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(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(* 1/2 (/ U J))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1/2 (/ U J))
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(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
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(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
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(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ 1/2 J)
(+ (* 1/16 (/ (pow K 2) J)) (* 1/2 (/ 1 J)))
(+ (* (pow K 2) (+ (* 5/768 (/ (pow K 2) J)) (* 1/16 (/ 1 J)))) (* 1/2 (/ 1 J)))
(+ (* (pow K 2) (+ (* (pow K 2) (+ (* 61/92160 (/ (pow K 2) J)) (* 5/768 (/ 1 J)))) (* 1/16 (/ 1 J)))) (* 1/2 (/ 1 J)))
(/ 1/2 (* J (cos (* 1/2 K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/ 1/2 (* J (cos (* 1/2 K))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))

Outputs
(* -1 U)
(neg.f64 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(-.f64 (.f64 (.f64 J J) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (.f64 J J) (.f64 U (*.f64 U U))))))) U)
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(-.f64 (.f64 (.f64 J J) (fma.f64 (.f64 J J) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (.f64 U (.f64 U U))) (.f64 #s(literal -4 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (/.f64 (.f64 J J) (pow.f64 U #s(literal 5 binary64)))))) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)))) U)
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
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1
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1
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(fma.f64 #s(literal 1/16 binary64) (.f64 U (/.f64 (.f64 K K) J)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
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(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
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(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
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(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
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(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ 1/2 J)
(/.f64 #s(literal 1/2 binary64) J)
(+ (* 1/16 (/ (pow K 2) J)) (* 1/2 (/ 1 J)))
(fma.f64 K (*.f64 K (/.f64 #s(literal 1/16 binary64) J)) (/.f64 #s(literal 1/2 binary64) J))
(+ (* (pow K 2) (+ (* 5/768 (/ (pow K 2) J)) (* 1/16 (/ 1 J)))) (* 1/2 (/ 1 J)))
(fma.f64 (.f64 (fma.f64 (/.f64 (.f64 K K) J) #s(literal 5/768 binary64) (/.f64 #s(literal 1/16 binary64) J)) K) K (/.f64 #s(literal 1/2 binary64) J))
(+ (* (pow K 2) (+ (* (pow K 2) (+ (* 61/92160 (/ (pow K 2) J)) (* 5/768 (/ 1 J)))) (* 1/16 (/ 1 J)))) (* 1/2 (/ 1 J)))
(fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (/.f64 (*.f64 K K) J) #s(literal 61/92160 binary64) (/.f64 #s(literal 5/768 binary64) J))) (/.f64 #s(literal 1/16 binary64) J)) (/.f64 #s(literal 1/2 binary64) J))
(/ 1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(/ 1/2 (* J (cos (* 1/2 K))))
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(/ 1/2 (* J (cos (* 1/2 K))))
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(/ 1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(/ 1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
J
(+ J (* -1/8 (* J (pow K 2))))
(fma.f64 J (.f64 (.f64 K K) #s(literal -1/8 binary64)) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(fma.f64 K (.f64 K (fma.f64 J #s(literal -1/8 binary64) (.f64 J (.f64 (.f64 K K) #s(literal 1/384 binary64))))) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J #s(literal 1/384 binary64) (.f64 J (.f64 (.f64 K K) #s(literal -1/46080 binary64)))) (.f64 J #s(literal -1/8 binary64))) J)
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))

eval427.0ms (3.1%)

Memory: 3.0MiB live, 428.9MiB allocated
Compiler: Compiled 45 973 to 4 188 computations (90.9% saved)

prune399.0ms (2.9%)

Memory

-44.6MiB live, 546.9MiB allocated

Pruning

58 alts after pruning (57 fresh and 1 done)

	Pruned	Kept	Total
New	1 759	37	1 796
Fresh	10	20	30
Picked	5	0	5
Done	0	1	1
Total	1 774	58	1 832

Accuracy

100.0%

Counts

1 832 → 58

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.3%	(fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U)
	28.1%	(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/46080 binary64) (.f64 K K) #s(literal -1/384 binary64))) (*.f64 U #s(literal 1/8 binary64))) (neg.f64 U))
	53.0%	(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
	26.3%	(fma.f64 #s(literal -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (.f64 K K)) U))) J))
	32.2%	(/.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) U))
	5.4%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U (.f64 U U)))) (.f64 U (*.f64 U U)))
	24.6%	(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 J (.f64 #s(literal 1/2 binary64) U)))
	8.5%	(/.f64 (.f64 U (.f64 U U)) (neg.f64 (*.f64 U U)))
	18.5%	(/.f64 (*.f64 U U) (neg.f64 U))
	8.1%	(/.f64 (neg.f64 (.f64 U U)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 U) (neg.f64 (.f64 U U)))) (neg.f64 (.f64 U U))))
	23.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (*.f64 #s(literal -2 binary64) J) U))))
	36.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
	29.4%	(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64))) (.f64 #s(literal 1/4 binary64) 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))))
	33.0%	(.f64 (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
	20.7%	(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
	29.4%	(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
	29.1%	(.f64 (fma.f64 J #s(literal -2 binary64) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) K) (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
	43.1%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
▶	32.3%	(.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal 2 binary64))) U)
	26.7%	(.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))))
	24.2%	(.f64 (/.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
	79.8%	(.f64 (/.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U) #s(literal -2 binary64)))))
	24.2%	(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
	18.5%	(.f64 (/.f64 #s(literal -1 binary64) U) (.f64 U U))
	26.7%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) U))
	24.2%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
▶	79.9%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U) #s(literal -2 binary64)))))
	29.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
▶	20.2%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
	39.0%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
	47.9%	(.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 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
	47.9%	(.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)))
	13.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 (neg.f64 (.f64 U U)) (*.f64 J #s(literal 2 binary64))) (neg.f64 U)))
	24.2%	(.f64 (.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 #s(literal 1 binary64) U)))
	6.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 U (.f64 U U)) #s(literal 1/2 binary64)) (.f64 (.f64 U U) J)))
	11.6%	(.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)))))
	6.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U U) (.f64 J #s(literal 2 binary64))) (.f64 U (.f64 U U)))))
	59.9%	(.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 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))))
	12.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 (.f64 U U)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 U) J))))
	39.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (fma.f64 J J (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 J J))))
	76.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))
	59.9%	(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
	65.5%	(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
	65.6%	(.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64)))
	8.4%	(.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal -1 binary64) (.f64 U U)))
	24.3%	(.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)))))
	32.3%	(.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))))
	55.8%	(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
	26.7%	(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
	11.0%	(.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)))
	32.3%	(.f64 (neg.f64 U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
▶	28.3%	(.f64 U (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))
	32.3%	(.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
	28.1%	(.f64 #s(literal -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J))
	59.3%	(.f64 #s(literal -2 binary64) (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 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)))))
	27.8%	(neg.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U))
▶	47.6%	(neg.f64 (.f64 (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
✓	36.7%	(neg.f64 U)

Compiler

Compiled 2 555 to 1 682 computations (34.2% saved)

simplify270.0ms (1.9%)

Memory

30.5MiB live, 419.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
✓	cost-diff	0	(.f64 (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
✓	cost-diff	0	(neg.f64 (.f64 (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
✓	cost-diff	192	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) J)
✓	cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal 2 binary64))) U)
✓	cost-diff	1536	(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 J #s(literal 2 binary64)))
✓	cost-diff	0	(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) J)
✓	cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
✓	cost-diff	1536	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
✓	cost-diff	0	(*.f64 K K)
✓	cost-diff	0	(fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #s(literal -1 binary64))
✓	cost-diff	0	(.f64 U (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))
✓	cost-diff	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))
✓	cost-diff	0	(.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J)
✓	cost-diff	0	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U) #s(literal -2 binary64)))))

Rules

7 352×	`lower-fma.f32`
7 344×	`lower-fma.f64`
4 186×	`lower-*.f32`
4 152×	`lower-*.f64`
2 206×	`lower-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	333
0	81	333
1	169	329
2	485	317
3	1644	308
4	4740	308
5	5869	308
6	7711	308
0	8387	308

Stop Event

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

Calls

Call 1

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

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

localize186.0ms (1.3%)

Memory

6.5MiB live, 366.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
✓	accuracy	99.5%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal 2 binary64))) U)
✓	accuracy	99.8%	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
✓	accuracy	99.8%	(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 J #s(literal 2 binary64)))
✓	accuracy	99.9%	(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))
✓	accuracy	97.0%	(.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
✓	accuracy	79.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
✓	accuracy	100.0%	(*.f64 K K)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #s(literal -1 binary64))
✓	accuracy	93.3%	(.f64 U (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))
✓	accuracy	99.8%	(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
✓	accuracy	99.6%	(pow.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U) #s(literal -2 binary64))
✓	accuracy	91.1%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U) #s(literal -2 binary64))))
✓	accuracy	88.9%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U) #s(literal -2 binary64)))))

Samples

108.0ms

256×

valid

Compiler

Compiled 349 to 50 computations (85.7% saved)

Precisions

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

ival-mult: 37.0ms (45.7% of total)

ival-cos: 16.0ms (19.8% of total)

ival-div: 7.0ms (8.6% of total)

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

const: 6.0ms (7.4% of total)

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

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

exact: 1.0ms (1.2% of total)

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

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

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

series27.0ms (0.2%)

Memory

-18.8MiB live, 60.3MiB allocated

Counts

23 → 504

Calls

Call 1

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

Outputs
#<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 (* -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 (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)>
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#<alt (+ U (* (pow K 2) (+ (* -1/8 U) (* 1/8 U))))>
#<alt (+ U (* (pow K 2) (+ (* -1/8 U) (+ (* 1/8 U) (* (pow K 2) (+ (* -1/64 U) (+ (* 1/384 U) (* 5/384 U))))))))>
#<alt (+ U (* (pow K 2) (+ (* -1/8 U) (+ (* 1/8 U) (* (pow K 2) (+ (* -1/64 U) (+ (* 1/384 U) (+ (* 5/384 U) (* (pow K 2) (+ (* -5/3072 U) (+ (* -1/46080 U) (+ (* 1/3072 U) (* 61/46080 U)))))))))))))>
#<alt (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* U (cos (* 1/2 K)))>
#<alt U>
#<alt (+ U (* -1/8 (* (pow K 2) U)))>
#<alt (+ U (* (pow K 2) (+ (* -1/8 U) (* 1/384 (* (pow K 2) U)))))>
#<alt (+ U (* (pow K 2) (+ (* -1/8 U) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) U)) (* 1/384 U))))))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* U (cos (* 1/2 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) (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 (* 1/2 (/ 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 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 (* 1/4 (/ (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 (* 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 (* 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))))>
#<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 -1/8>
#<alt (- (* 1/384 (pow K 2)) 1/8)>
#<alt (- (* 1/384 (pow K 2)) 1/8)>
#<alt (- (* 1/384 (pow K 2)) 1/8)>
#<alt (* 1/384 (pow K 2))>
#<alt (* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* 1/384 (pow K 2))>
#<alt (* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<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)))>

Calls

126 calls:

Time	Variable		Point	Expression
4.0ms	K	@	inf	(* U (+ (* 1/8 (* K K)) -1))
1.0ms	U	@	0	(neg (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2)))))
1.0ms	U	@	0	(* U (+ (* 1/8 (* K K)) -1))
1.0ms	U	@	0	(* (* (* -2 J) (+ (* (* K K) (+ (* (* K K) 1/384) -1/8)) 1)) (* 1/2 (/ U J)))
1.0ms	K	@	-inf	(neg (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2)))))

rewrite352.0ms (2.5%)

Memory

16.8MiB live, 607.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 658×	`lower-*.f32`
5 624×	`lower-*.f64`
4 748×	`lower-/.f32`
4 740×	`lower-/.f64`
2 670×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	233
0	81	233
1	270	225
2	1735	225
0	8520	225

Stop Event

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

Counts

23 → 907

Calls

Call 1

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

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

simplify532.0ms (3.8%)

Memory

27.9MiB live, 771.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 942×	`lower-fma.f64`
9 942×	`lower-fma.f32`
7 264×	`lower-*.f64`
7 264×	`lower-*.f32`
2 740×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	552	7256
1	1749	7122
2	6586	6967
0	8364	6595

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 501

Calls

Call 1

Inputs
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
-2
(- (* 1/4 (pow K 2)) 2)
(- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2)
(- (* (pow K 2) (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192)))) 2)
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(* U (- (* 1/8 (pow K 2)) 1))
(* U (- (* 1/8 (pow K 2)) 1))
(* U (- (* 1/8 (pow K 2)) 1))
(* U (- (* 1/8 (pow K 2)) 1))
(* U (- (* 1/8 (pow K 2)) 1))
(* U (- (* 1/8 (pow K 2)) 1))
(* U (- (* 1/8 (pow K 2)) 1))
(* U (- (* 1/8 (pow K 2)) 1))
(* U (- (* 1/8 (pow K 2)) 1))
(* U (- (* 1/8 (pow K 2)) 1))
(* U (- (* 1/8 (pow K 2)) 1))
(* U (- (* 1/8 (pow K 2)) 1))
(* -1 U)
(+ (* -1 U) (* 1/8 (* (pow K 2) U)))
(+ (* -1 U) (* 1/8 (* (pow K 2) U)))
(+ (* -1 U) (* 1/8 (* (pow K 2) U)))
(* 1/8 (* (pow K 2) U))
(* (pow K 2) (+ (* -1 (/ U (pow K 2))) (* 1/8 U)))
(* (pow K 2) (+ (* -1 (/ U (pow K 2))) (* 1/8 U)))
(* (pow K 2) (+ (* -1 (/ U (pow K 2))) (* 1/8 U)))
(* 1/8 (* (pow K 2) U))
(* (pow K 2) (+ (* -1 (/ U (pow K 2))) (* 1/8 U)))
(* (pow K 2) (+ (* -1 (/ U (pow K 2))) (* 1/8 U)))
(* (pow K 2) (+ (* -1 (/ U (pow K 2))) (* 1/8 U)))
-1
(- (* 1/8 (pow K 2)) 1)
(- (* 1/8 (pow K 2)) 1)
(- (* 1/8 (pow K 2)) 1)
(* 1/8 (pow K 2))
(* (pow K 2) (- 1/8 (/ 1 (pow K 2))))
(* (pow K 2) (- 1/8 (/ 1 (pow K 2))))
(* (pow K 2) (- 1/8 (/ 1 (pow K 2))))
(* 1/8 (pow K 2))
(* (pow K 2) (- 1/8 (/ 1 (pow K 2))))
(* (pow K 2) (- 1/8 (/ 1 (pow K 2))))
(* (pow K 2) (- 1/8 (/ 1 (pow K 2))))
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 U)
(+ (* -1 U) (* 1/8 (* (pow K 2) U)))
(+ (* -1 U) (* (pow K 2) (+ (* -1/384 (* (pow K 2) U)) (* 1/8 U))))
(+ (* -1 U) (* (pow K 2) (+ (* -1/384 (* (pow K 2) U)) (* 1/8 U))))
(* -1/384 (* (pow K 4) U))
(* (pow K 4) (+ (* -1/384 U) (* 1/8 (/ U (pow K 2)))))
(* (pow K 4) (+ (* -1 (/ U (pow K 4))) (+ (* -1/384 U) (* 1/8 (/ U (pow K 2))))))
(* (pow K 4) (+ (* -1 (/ U (pow K 4))) (+ (* -1/384 U) (* 1/8 (/ U (pow K 2))))))
(* -1/384 (* (pow K 4) U))
(* (pow K 4) (+ (* -1/384 U) (* 1/8 (/ U (pow K 2)))))
(* (pow K 4) (+ (* -1 (/ U (pow K 4))) (+ (* -1/384 U) (* 1/8 (/ U (pow K 2))))))
(* (pow K 4) (+ (* -1 (/ U (pow K 4))) (+ (* -1/384 U) (* 1/8 (/ U (pow K 2))))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -1 (* U (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(* -1/192 (* J (pow K 4)))
(* (pow K 4) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))
(* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))
(* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))
(* -1/192 (* J (pow K 4)))
(* (pow K 4) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))
(* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))
(* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(* 1/384 (pow K 4))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* 1/384 (pow K 4))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* -1 (cos (* 1/2 K)))
(* -1 (cos (* 1/2 K)))
(* -1 (cos (* 1/2 K)))
(* -1 (cos (* 1/2 K)))
(* -1 (cos (* 1/2 K)))
(* -1 (cos (* 1/2 K)))
(* -1 (cos (* 1/2 K)))
(* -1 (cos (* 1/2 K)))
(* -1 (cos (* 1/2 K)))
(* -1 (cos (* 1/2 K)))
(* -1 (cos (* 1/2 K)))
(* -1 (cos (* 1/2 K)))
-1
(- (* 1/8 (pow K 2)) 1)
(- (* (pow K 2) (+ 1/8 (* -1/384 (pow K 2)))) 1)
(- (* (pow K 2) (+ 1/8 (* (pow K 2) (- (* 1/46080 (pow K 2)) 1/384)))) 1)
(* -1 (cos (* 1/2 K)))
(* -1 (cos (* 1/2 K)))
(* -1 (cos (* 1/2 K)))
(* -1 (cos (* 1/2 K)))
(* -1 (cos (* 1/2 K)))
(* -1 (cos (* 1/2 K)))
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(* -2 (* J (cos (* 1/2 K))))
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(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
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(+ (* -2 J) (* 1/4 (* J (pow K 2))))
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(* -2 (* J (cos (* 1/2 K))))
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(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
1
(+ 1 (* 1/4 (pow K 2)))
(+ 1 (* (pow K 2) (+ 1/4 (* 1/24 (pow K 2)))))
(+ 1 (* (pow K 2) (+ 1/4 (* (pow K 2) (+ 1/24 (* 17/2880 (pow K 2)))))))
(/ 1 (+ 1/2 (* 1/2 (cos K))))
(/ 1 (+ 1/2 (* 1/2 (cos K))))
(/ 1 (+ 1/2 (* 1/2 (cos K))))
(/ 1 (+ 1/2 (* 1/2 (cos K))))
(/ 1 (+ 1/2 (* 1/2 (cos K))))
(/ 1 (+ 1/2 (* 1/2 (cos K))))
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(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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(* -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)))))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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(* -1 U)
(- (* -1 (* (pow K 2) (+ (* -1/8 U) (* 1/8 U)))) U)
(- (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/64 U) (+ (* 1/384 U) (* 5/384 U))))) (+ (* -1/8 U) (* 1/8 U)))) U)
(- (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -5/3072 U) (+ (* -1/46080 U) (+ (* 1/3072 U) (* 61/46080 U)))))) (+ (* -1/64 U) (+ (* 1/384 U) (* 5/384 U))))) (+ (* -1/8 U) (* 1/8 U)))) U)
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
U
(+ U (* (pow K 2) (+ (* -1/8 U) (* 1/8 U))))
(+ U (* (pow K 2) (+ (* -1/8 U) (+ (* 1/8 U) (* (pow K 2) (+ (* -1/64 U) (+ (* 1/384 U) (* 5/384 U))))))))
(+ U (* (pow K 2) (+ (* -1/8 U) (+ (* 1/8 U) (* (pow K 2) (+ (* -1/64 U) (+ (* 1/384 U) (+ (* 5/384 U) (* (pow K 2) (+ (* -5/3072 U) (+ (* -1/46080 U) (+ (* 1/3072 U) (* 61/46080 U)))))))))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
U
(+ U (* -1/8 (* (pow K 2) U)))
(+ U (* (pow K 2) (+ (* -1/8 U) (* 1/384 (* (pow K 2) U)))))
(+ U (* (pow K 2) (+ (* -1/8 U) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) U)) (* 1/384 U))))))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 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) (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))))))
(* 1/2 (/ 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)))))))
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)))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (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))))
(* 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))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
-1/8
(- (* 1/384 (pow K 2)) 1/8)
(- (* 1/384 (pow K 2)) 1/8)
(- (* 1/384 (pow K 2)) 1/8)
(* 1/384 (pow K 2))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* 1/384 (pow K 2))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
1
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(+ 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)))

Outputs
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
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(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(+ (* -1/4 (* J (pow K 2))) (* 2 J))
(.f64 J (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))
(fma.f64 (.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) K) K (.f64 J #s(literal 2 binary64)))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) (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 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
-1/8
#s(literal -1/8 binary64)
(- (* 1/384 (pow K 2)) 1/8)
(fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))
(- (* 1/384 (pow K 2)) 1/8)
(fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))
(- (* 1/384 (pow K 2)) 1/8)
(fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))
(* 1/384 (pow K 2))
(.f64 (.f64 K K) #s(literal 1/384 binary64))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(.f64 K (.f64 K (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(.f64 K (.f64 K (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(.f64 K (.f64 K (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(* 1/384 (pow K 2))
(.f64 (.f64 K K) #s(literal 1/384 binary64))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(.f64 K (.f64 K (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(.f64 K (.f64 K (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(.f64 K (.f64 K (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow K 2)))
(fma.f64 K (*.f64 K #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))

eval272.0ms (2%)

Memory: 6.2MiB live, 441.5MiB allocated
Compiler: Compiled 39 053 to 3 807 computations (90.3% saved)

prune357.0ms (2.6%)

Memory

-41.2MiB live, 541.4MiB allocated

Pruning

74 alts after pruning (71 fresh and 3 done)

	Pruned	Kept	Total
New	1 465	29	1 494
Fresh	10	42	52
Picked	3	2	5
Done	0	1	1
Total	1 478	74	1 552

Accuracy

100.0%

Counts

1 552 → 74

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.3%	(fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U)
	28.4%	(fma.f64 (.f64 U (.f64 K #s(literal 1/8 binary64))) K (neg.f64 U))
	53.0%	(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
	26.3%	(fma.f64 #s(literal -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (.f64 K K)) U))) J))
	32.2%	(/.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) U))
	5.4%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U (.f64 U U)))) (.f64 U (*.f64 U U)))
	27.4%	(/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) U) (fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
	24.6%	(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 J (.f64 #s(literal 1/2 binary64) U)))
	47.6%	(/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
	8.5%	(/.f64 (.f64 U (.f64 U U)) (neg.f64 (*.f64 U U)))
	18.5%	(/.f64 (*.f64 U U) (neg.f64 U))
	8.1%	(/.f64 (neg.f64 (.f64 U U)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 U) (neg.f64 (.f64 U U)))) (neg.f64 (.f64 U U))))
	13.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (neg.f64 U)) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U))) (*.f64 U U))))
	36.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
	23.2%	(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 J (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) U))))
	28.1%	(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/46080 binary64)) #s(literal -1/384 binary64)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) U)
	29.4%	(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64))) (.f64 #s(literal 1/4 binary64) 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))))
	33.0%	(.f64 (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
	29.4%	(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
	29.1%	(.f64 (fma.f64 J #s(literal -2 binary64) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) K) (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
	43.1%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	26.7%	(.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))))
	23.3%	(.f64 (/.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (/.f64 U (/.f64 #s(literal 2 binary64) J)))
	28.3%	(.f64 (/.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 J #s(literal 2 binary64))) U)
	79.8%	(.f64 (/.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U) #s(literal -2 binary64)))))
	24.2%	(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
	18.5%	(.f64 (/.f64 #s(literal -1 binary64) U) (.f64 U U))
	32.3%	(.f64 (.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) J) #s(literal -1 binary64)) U)
	32.3%	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) U)
	11.6%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
	26.7%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) U))
✓	79.9%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U) #s(literal -2 binary64)))))
	1.7%	(.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 U (+.f64 #s(literal -1/384 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 K K)))))
	29.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
	39.0%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
	47.9%	(.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 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
	47.9%	(.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)))
	13.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 (neg.f64 (.f64 U U)) (*.f64 J #s(literal 2 binary64))) (neg.f64 U)))
	6.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 U (.f64 U U)) #s(literal 1/2 binary64)) (.f64 (.f64 U U) J)))
	6.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U U) (.f64 J #s(literal 2 binary64))) (.f64 U (.f64 U U)))))
	59.9%	(.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 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))))
	12.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 (.f64 U U)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 U) J))))
	39.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (fma.f64 J J (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 J J))))
	76.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))
	59.9%	(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
	65.5%	(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
	65.6%	(.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64)))
	8.4%	(.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal -1 binary64) (.f64 U U)))
	23.2%	(.f64 (.f64 U (.f64 #s(literal -2 binary64) J)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
	20.7%	(.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
	32.3%	(.f64 (.f64 J (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) U)
	24.3%	(.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)))))
	32.3%	(.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))))
	55.8%	(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
	24.2%	(.f64 (.f64 #s(literal -2 binary64) J) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U))
	26.7%	(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
	26.7%	(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
	32.3%	(.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) U)
	11.0%	(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
	47.6%	(.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
	47.6%	(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 U (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
✓	28.3%	(.f64 U (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))
	27.0%	(.f64 U (/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 binary64)))))
	27.1%	(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 K (.f64 K #s(literal -1/8 binary64))))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal 1/512 binary64)) #s(literal -1 binary64)))))
	28.3%	(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))))
	27.4%	(.f64 U (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 binary64)))))
	17.3%	(.f64 U (.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) (.f64 K K))) K) K))
	3.0%	(.f64 U (.f64 K (.f64 K (.f64 (*.f64 K K) #s(literal -1/384 binary64)))))
	3.0%	(.f64 U (.f64 K (*.f64 K #s(literal 1/8 binary64))))
	28.1%	(.f64 #s(literal -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J))
	59.3%	(.f64 #s(literal -2 binary64) (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 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)))))
	27.8%	(neg.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U))
	47.6%	(neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
✓	36.7%	(neg.f64 U)

Compiler

Compiled 3 765 to 1 459 computations (61.2% saved)

regimes214.0ms (1.5%)

Memory

29.8MiB live, 382.2MiB allocated

Counts

115 → 3

Calls

Call 1

Inputs
(neg.f64 U)
(.f64 U (.f64 K (*.f64 K #s(literal 1/8 binary64))))
(.f64 U (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(fma.f64 (.f64 U (.f64 K #s(literal 1/8 binary64))) K (neg.f64 U))
(.f64 (/.f64 #s(literal -1 binary64) U) (.f64 U U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(.f64 U (.f64 K (.f64 K (.f64 (*.f64 K K) #s(literal -1/384 binary64)))))
(.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U)
(/.f64 (.f64 U (.f64 U U)) (neg.f64 (*.f64 U U)))
(neg.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U))
(.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal -1 binary64) (.f64 U U)))
(.f64 #s(literal -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(.f64 U (.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) (.f64 K K))) K) K))
(.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (/.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 J #s(literal 2 binary64))) U)
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/46080 binary64)) #s(literal -1/384 binary64)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) U)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U (.f64 U U)))) (.f64 U (*.f64 U U)))
(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U)))))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 U (+.f64 #s(literal -1/384 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 K K)))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/46080 binary64) (.f64 K K) #s(literal -1/384 binary64))) (*.f64 U #s(literal 1/8 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 #s(literal -2 binary64) J))
(.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 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) U) (fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U)))))
(.f64 U (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(/.f64 (neg.f64 (.f64 U U)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 U) (neg.f64 (.f64 U U)))) (neg.f64 (.f64 U U))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)) (.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 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 J #s(literal -2 binary64) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) K) (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 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 K K) (fma.f64 #s(literal 1/4 binary64) J (.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64))) (.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 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 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 -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (.f64 K K)) U))) J))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (neg.f64 U)) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U))) (*.f64 U U))))
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 K (.f64 K #s(literal -1/8 binary64))))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal 1/512 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64))) (.f64 #s(literal 1/4 binary64) 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 U (/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 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 (neg.f64 U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) U)
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 J (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) U)
(.f64 (.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) J) #s(literal -1 binary64)) U)
(.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal -2 binary64) J) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U))
(.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 U (.f64 #s(literal -2 binary64) J)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) U)
(.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal 2 binary64))) U)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 J (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) U))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 J (.f64 #s(literal 1/2 binary64) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (*.f64 #s(literal -2 binary64) J) U))))
(.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 U U)) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))))
(.f64 (/.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (/.f64 U (/.f64 #s(literal 2 binary64) J)))
(.f64 (/.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) U))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(.f64 (.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 #s(literal 1 binary64) U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 (.f64 U U)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 U) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 U (.f64 U U)) #s(literal 1/2 binary64)) (.f64 (.f64 U U) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 (neg.f64 (.f64 U U)) (*.f64 J #s(literal 2 binary64))) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.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)))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U U) (.f64 J #s(literal 2 binary64))) (.f64 U (.f64 U U)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))))
(.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 U (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(neg.f64 (.f64 (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) U))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) U))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 U (.f64 J #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 #s(literal 1/2 binary64) (/.f64 U J)) #s(literal 2 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 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(.f64 #s(literal -2 binary64) (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (fma.f64 J J (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 J J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (*.f64 J #s(literal 2 binary64)) (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 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))))))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U) #s(literal -2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) U) #s(literal -2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (/.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U) #s(literal -2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) (.f64 U #s(literal 1/2 binary64))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.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 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

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 (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)))

Calls

6 calls:

42.0ms	U
34.0ms	(/.f64 K #s(literal 2 binary64))
34.0ms	K
33.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
32.0ms	J

Results

Accuracy	Segments	Branch
88.7%	2	`J`
80.0%	1	`K`
91.4%	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)))))`
80.0%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
80.0%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes37.0ms (0.3%)

Memory

7.1MiB live, 84.1MiB allocated

Counts

110 → 3

Calls

Call 1

Inputs
(neg.f64 U)
(.f64 U (.f64 K (*.f64 K #s(literal 1/8 binary64))))
(.f64 U (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(fma.f64 (.f64 U (.f64 K #s(literal 1/8 binary64))) K (neg.f64 U))
(.f64 (/.f64 #s(literal -1 binary64) U) (.f64 U U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(.f64 U (.f64 K (.f64 K (.f64 (*.f64 K K) #s(literal -1/384 binary64)))))
(.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U)
(/.f64 (.f64 U (.f64 U U)) (neg.f64 (*.f64 U U)))
(neg.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U))
(.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal -1 binary64) (.f64 U U)))
(.f64 #s(literal -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(.f64 U (.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) (.f64 K K))) K) K))
(.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (/.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 J #s(literal 2 binary64))) U)
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/46080 binary64)) #s(literal -1/384 binary64)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) U)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U (.f64 U U)))) (.f64 U (*.f64 U U)))
(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U)))))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 U (+.f64 #s(literal -1/384 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 K K)))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/46080 binary64) (.f64 K K) #s(literal -1/384 binary64))) (*.f64 U #s(literal 1/8 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 #s(literal -2 binary64) J))
(.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 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) U) (fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U)))))
(.f64 U (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(/.f64 (neg.f64 (.f64 U U)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 U) (neg.f64 (.f64 U U)))) (neg.f64 (.f64 U U))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)) (.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 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 J #s(literal -2 binary64) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) K) (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 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 K K) (fma.f64 #s(literal 1/4 binary64) J (.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64))) (.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 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 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 -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (.f64 K K)) U))) J))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (neg.f64 U)) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U))) (*.f64 U U))))
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 K (.f64 K #s(literal -1/8 binary64))))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal 1/512 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64))) (.f64 #s(literal 1/4 binary64) 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 U (/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 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 (neg.f64 U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) U)
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 J (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) U)
(.f64 (.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) J) #s(literal -1 binary64)) U)
(.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal -2 binary64) J) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U))
(.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 U (.f64 #s(literal -2 binary64) J)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) U)
(.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal 2 binary64))) U)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 J (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) U))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 J (.f64 #s(literal 1/2 binary64) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (*.f64 #s(literal -2 binary64) J) U))))
(.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 U U)) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))))
(.f64 (/.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (/.f64 U (/.f64 #s(literal 2 binary64) J)))
(.f64 (/.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) U))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(.f64 (.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 #s(literal 1 binary64) U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 (.f64 U U)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 U) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 U (.f64 U U)) #s(literal 1/2 binary64)) (.f64 (.f64 U U) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 (neg.f64 (.f64 U U)) (*.f64 J #s(literal 2 binary64))) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.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)))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U U) (.f64 J #s(literal 2 binary64))) (.f64 U (.f64 U U)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))))
(.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 U (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(neg.f64 (.f64 (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) U))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) U))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 U (.f64 J #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 #s(literal 1/2 binary64) (/.f64 U J)) #s(literal 2 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 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(.f64 #s(literal -2 binary64) (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (fma.f64 J J (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 J J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (*.f64 J #s(literal 2 binary64)) (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 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))))))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U) #s(literal -2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) U) #s(literal -2 binary64)))))

Outputs

(neg.f64 U)

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

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

Calls

1 calls:

31.0ms

(*.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)

regimes65.0ms (0.5%)

Memory

-33.7MiB live, 54.0MiB allocated

Counts

108 → 4

Calls

Call 1

Inputs
(neg.f64 U)
(.f64 U (.f64 K (*.f64 K #s(literal 1/8 binary64))))
(.f64 U (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(fma.f64 (.f64 U (.f64 K #s(literal 1/8 binary64))) K (neg.f64 U))
(.f64 (/.f64 #s(literal -1 binary64) U) (.f64 U U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(.f64 U (.f64 K (.f64 K (.f64 (*.f64 K K) #s(literal -1/384 binary64)))))
(.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U)
(/.f64 (.f64 U (.f64 U U)) (neg.f64 (*.f64 U U)))
(neg.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U))
(.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal -1 binary64) (.f64 U U)))
(.f64 #s(literal -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(.f64 U (.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) (.f64 K K))) K) K))
(.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (/.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 J #s(literal 2 binary64))) U)
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/46080 binary64)) #s(literal -1/384 binary64)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) U)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U (.f64 U U)))) (.f64 U (*.f64 U U)))
(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U)))))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 U (+.f64 #s(literal -1/384 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 K K)))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/46080 binary64) (.f64 K K) #s(literal -1/384 binary64))) (*.f64 U #s(literal 1/8 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 #s(literal -2 binary64) J))
(.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 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) U) (fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U)))))
(.f64 U (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(/.f64 (neg.f64 (.f64 U U)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 U) (neg.f64 (.f64 U U)))) (neg.f64 (.f64 U U))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)) (.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 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 J #s(literal -2 binary64) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) K) (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 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 K K) (fma.f64 #s(literal 1/4 binary64) J (.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64))) (.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 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 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 -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (.f64 K K)) U))) J))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (neg.f64 U)) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U))) (*.f64 U U))))
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 K (.f64 K #s(literal -1/8 binary64))))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal 1/512 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64))) (.f64 #s(literal 1/4 binary64) 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 U (/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 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 (neg.f64 U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) U)
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 J (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) U)
(.f64 (.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) J) #s(literal -1 binary64)) U)
(.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal -2 binary64) J) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U))
(.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 U (.f64 #s(literal -2 binary64) J)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) U)
(.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal 2 binary64))) U)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 J (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) U))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 J (.f64 #s(literal 1/2 binary64) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (*.f64 #s(literal -2 binary64) J) U))))
(.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 U U)) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))))
(.f64 (/.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (/.f64 U (/.f64 #s(literal 2 binary64) J)))
(.f64 (/.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) U))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(.f64 (.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 #s(literal 1 binary64) U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 (.f64 U U)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 U) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 U (.f64 U U)) #s(literal 1/2 binary64)) (.f64 (.f64 U U) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 (neg.f64 (.f64 U U)) (*.f64 J #s(literal 2 binary64))) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.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)))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U U) (.f64 J #s(literal 2 binary64))) (.f64 U (.f64 U U)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))))
(.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 U (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(neg.f64 (.f64 (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) U))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) U))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 U (.f64 J #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 #s(literal 1/2 binary64) (/.f64 U J)) #s(literal 2 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 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(.f64 #s(literal -2 binary64) (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (fma.f64 J J (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 J J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (*.f64 J #s(literal 2 binary64)) (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 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))))))))

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

Calls

1 calls:

55.0ms

(*.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
98.2%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes91.0ms (0.7%)

Memory

12.6MiB live, 129.6MiB allocated

Counts

106 → 4

Calls

Call 1

Inputs
(neg.f64 U)
(.f64 U (.f64 K (*.f64 K #s(literal 1/8 binary64))))
(.f64 U (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(fma.f64 (.f64 U (.f64 K #s(literal 1/8 binary64))) K (neg.f64 U))
(.f64 (/.f64 #s(literal -1 binary64) U) (.f64 U U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(.f64 U (.f64 K (.f64 K (.f64 (*.f64 K K) #s(literal -1/384 binary64)))))
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(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U)
(/.f64 (.f64 U (.f64 U U)) (neg.f64 (*.f64 U U)))
(neg.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U))
(.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal -1 binary64) (.f64 U U)))
(.f64 #s(literal -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(.f64 U (.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) (.f64 K K))) K) K))
(.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (/.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 J #s(literal 2 binary64))) U)
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/46080 binary64)) #s(literal -1/384 binary64)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) U)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U (.f64 U U)))) (.f64 U (*.f64 U U)))
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(.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 U (+.f64 #s(literal -1/384 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 K K)))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/46080 binary64) (.f64 K K) #s(literal -1/384 binary64))) (*.f64 U #s(literal 1/8 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 #s(literal -2 binary64) J))
(.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 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) U) (fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U)))))
(.f64 U (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(/.f64 (neg.f64 (.f64 U U)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 U) (neg.f64 (.f64 U U)))) (neg.f64 (.f64 U U))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)) (.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 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 J #s(literal -2 binary64) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) K) (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 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 K K) (fma.f64 #s(literal 1/4 binary64) J (.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64))) (.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 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 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 -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (.f64 K K)) U))) J))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (neg.f64 U)) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U))) (*.f64 U U))))
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 K (.f64 K #s(literal -1/8 binary64))))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal 1/512 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64))) (.f64 #s(literal 1/4 binary64) 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 U (/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 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 (neg.f64 U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) U)
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 J (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) U)
(.f64 (.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) J) #s(literal -1 binary64)) U)
(.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal -2 binary64) J) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U))
(.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 U (.f64 #s(literal -2 binary64) J)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) U)
(.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal 2 binary64))) U)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 J (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) U))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 J (.f64 #s(literal 1/2 binary64) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (*.f64 #s(literal -2 binary64) J) U))))
(.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 U U)) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))))
(.f64 (/.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (/.f64 U (/.f64 #s(literal 2 binary64) J)))
(.f64 (/.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) U))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(.f64 (.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 #s(literal 1 binary64) U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 (.f64 U U)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 U) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 U (.f64 U U)) #s(literal 1/2 binary64)) (.f64 (.f64 U U) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 (neg.f64 (.f64 U U)) (*.f64 J #s(literal 2 binary64))) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.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)))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U U) (.f64 J #s(literal 2 binary64))) (.f64 U (.f64 U U)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))))
(.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 U (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(neg.f64 (.f64 (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) U))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) U))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 U (.f64 J #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 #s(literal 1/2 binary64) (/.f64 U J)) #s(literal 2 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 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(.f64 #s(literal -2 binary64) (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (fma.f64 J J (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 J J))))

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

Calls

2 calls:

55.0ms

30.0ms

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

Results

Accuracy	Segments	Branch
88.6%	3	`U`
94.0%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes49.0ms (0.3%)

Memory

-4.4MiB live, 69.1MiB allocated

Counts

101 → 4

Calls

Call 1

Inputs
(neg.f64 U)
(.f64 U (.f64 K (*.f64 K #s(literal 1/8 binary64))))
(.f64 U (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(fma.f64 (.f64 U (.f64 K #s(literal 1/8 binary64))) K (neg.f64 U))
(.f64 (/.f64 #s(literal -1 binary64) U) (.f64 U U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(.f64 U (.f64 K (.f64 K (.f64 (*.f64 K K) #s(literal -1/384 binary64)))))
(.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U)
(/.f64 (.f64 U (.f64 U U)) (neg.f64 (*.f64 U U)))
(neg.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U))
(.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal -1 binary64) (.f64 U U)))
(.f64 #s(literal -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(.f64 U (.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) (.f64 K K))) K) K))
(.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (/.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 J #s(literal 2 binary64))) U)
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/46080 binary64)) #s(literal -1/384 binary64)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) U)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U (.f64 U U)))) (.f64 U (*.f64 U U)))
(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U)))))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 U (+.f64 #s(literal -1/384 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 K K)))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/46080 binary64) (.f64 K K) #s(literal -1/384 binary64))) (*.f64 U #s(literal 1/8 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 #s(literal -2 binary64) J))
(.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 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) U) (fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U)))))
(.f64 U (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(/.f64 (neg.f64 (.f64 U U)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 U) (neg.f64 (.f64 U U)))) (neg.f64 (.f64 U U))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)) (.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 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 J #s(literal -2 binary64) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) K) (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 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 K K) (fma.f64 #s(literal 1/4 binary64) J (.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64))) (.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 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 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 -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (.f64 K K)) U))) J))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (neg.f64 U)) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U))) (*.f64 U U))))
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 K (.f64 K #s(literal -1/8 binary64))))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal 1/512 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64))) (.f64 #s(literal 1/4 binary64) 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 U (/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 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 (neg.f64 U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) U)
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 J (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) U)
(.f64 (.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) J) #s(literal -1 binary64)) U)
(.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal -2 binary64) J) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U))
(.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 U (.f64 #s(literal -2 binary64) J)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) U)
(.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal 2 binary64))) U)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 J (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) U))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 J (.f64 #s(literal 1/2 binary64) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (*.f64 #s(literal -2 binary64) J) U))))
(.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 U U)) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))))
(.f64 (/.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (/.f64 U (/.f64 #s(literal 2 binary64) J)))
(.f64 (/.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) U))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(.f64 (.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 #s(literal 1 binary64) U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 (.f64 U U)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 U) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 U (.f64 U U)) #s(literal 1/2 binary64)) (.f64 (.f64 U U) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 (neg.f64 (.f64 U U)) (*.f64 J #s(literal 2 binary64))) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.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)))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U U) (.f64 J #s(literal 2 binary64))) (.f64 U (.f64 U U)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))))
(.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 U (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(neg.f64 (.f64 (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) U))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) U))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 U (.f64 J #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 #s(literal 1/2 binary64) (/.f64 U J)) #s(literal 2 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 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(.f64 #s(literal -2 binary64) (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 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)))))

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

Calls

1 calls:

41.0ms

(*.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
92.1%	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)

regimes71.0ms (0.5%)

Memory

17.5MiB live, 129.1MiB allocated

Counts

100 → 3

Calls

Call 1

Inputs
(neg.f64 U)
(.f64 U (.f64 K (*.f64 K #s(literal 1/8 binary64))))
(.f64 U (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(fma.f64 (.f64 U (.f64 K #s(literal 1/8 binary64))) K (neg.f64 U))
(.f64 (/.f64 #s(literal -1 binary64) U) (.f64 U U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(.f64 U (.f64 K (.f64 K (.f64 (*.f64 K K) #s(literal -1/384 binary64)))))
(.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U)
(/.f64 (.f64 U (.f64 U U)) (neg.f64 (*.f64 U U)))
(neg.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U))
(.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal -1 binary64) (.f64 U U)))
(.f64 #s(literal -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(.f64 U (.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) (.f64 K K))) K) K))
(.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (/.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 J #s(literal 2 binary64))) U)
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/46080 binary64)) #s(literal -1/384 binary64)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) U)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U (.f64 U U)))) (.f64 U (*.f64 U U)))
(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U)))))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 U (+.f64 #s(literal -1/384 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 K K)))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/46080 binary64) (.f64 K K) #s(literal -1/384 binary64))) (*.f64 U #s(literal 1/8 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 #s(literal -2 binary64) J))
(.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 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) U) (fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U)))))
(.f64 U (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(/.f64 (neg.f64 (.f64 U U)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 U) (neg.f64 (.f64 U U)))) (neg.f64 (.f64 U U))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)) (.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 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 J #s(literal -2 binary64) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) K) (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 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 K K) (fma.f64 #s(literal 1/4 binary64) J (.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64))) (.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 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 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 -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (.f64 K K)) U))) J))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (neg.f64 U)) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U))) (*.f64 U U))))
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 K (.f64 K #s(literal -1/8 binary64))))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal 1/512 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64))) (.f64 #s(literal 1/4 binary64) 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 U (/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 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 (neg.f64 U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) U)
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 J (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) U)
(.f64 (.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) J) #s(literal -1 binary64)) U)
(.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal -2 binary64) J) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U))
(.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 U (.f64 #s(literal -2 binary64) J)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) U)
(.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal 2 binary64))) U)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 J (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) U))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 J (.f64 #s(literal 1/2 binary64) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (*.f64 #s(literal -2 binary64) J) U))))
(.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 U U)) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))))
(.f64 (/.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (/.f64 U (/.f64 #s(literal 2 binary64) J)))
(.f64 (/.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) U))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(.f64 (.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 #s(literal 1 binary64) U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 (.f64 U U)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 U) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 U (.f64 U U)) #s(literal 1/2 binary64)) (.f64 (.f64 U U) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 (neg.f64 (.f64 U U)) (*.f64 J #s(literal 2 binary64))) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.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)))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U U) (.f64 J #s(literal 2 binary64))) (.f64 U (.f64 U U)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))))
(.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 U (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(neg.f64 (.f64 (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) U))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) U))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 U (.f64 J #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 #s(literal 1/2 binary64) (/.f64 U J)) #s(literal 2 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 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 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 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) #s(literal 2 binary64)))))

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

Calls

2 calls:

38.0ms

28.0ms

(*.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
82.9%	2	`J`
90.0%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes71.0ms (0.5%)

Memory

23.2MiB live, 137.2MiB allocated

Counts

98 → 3

Calls

Call 1

Inputs
(neg.f64 U)
(.f64 U (.f64 K (*.f64 K #s(literal 1/8 binary64))))
(.f64 U (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(fma.f64 (.f64 U (.f64 K #s(literal 1/8 binary64))) K (neg.f64 U))
(.f64 (/.f64 #s(literal -1 binary64) U) (.f64 U U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(.f64 U (.f64 K (.f64 K (.f64 (*.f64 K K) #s(literal -1/384 binary64)))))
(.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U)
(/.f64 (.f64 U (.f64 U U)) (neg.f64 (*.f64 U U)))
(neg.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U))
(.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal -1 binary64) (.f64 U U)))
(.f64 #s(literal -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(.f64 U (.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) (.f64 K K))) K) K))
(.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (/.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 J #s(literal 2 binary64))) U)
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/46080 binary64)) #s(literal -1/384 binary64)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) U)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U (.f64 U U)))) (.f64 U (*.f64 U U)))
(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U)))))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 U (+.f64 #s(literal -1/384 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 K K)))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/46080 binary64) (.f64 K K) #s(literal -1/384 binary64))) (*.f64 U #s(literal 1/8 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 #s(literal -2 binary64) J))
(.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 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) U) (fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U)))))
(.f64 U (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(/.f64 (neg.f64 (.f64 U U)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 U) (neg.f64 (.f64 U U)))) (neg.f64 (.f64 U U))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)) (.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 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 J #s(literal -2 binary64) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) K) (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 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 K K) (fma.f64 #s(literal 1/4 binary64) J (.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64))) (.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 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 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 -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (.f64 K K)) U))) J))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (neg.f64 U)) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U))) (*.f64 U U))))
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 K (.f64 K #s(literal -1/8 binary64))))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal 1/512 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64))) (.f64 #s(literal 1/4 binary64) 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 U (/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 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 (neg.f64 U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) U)
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 J (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) U)
(.f64 (.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) J) #s(literal -1 binary64)) U)
(.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal -2 binary64) J) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U))
(.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 U (.f64 #s(literal -2 binary64) J)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) U)
(.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal 2 binary64))) U)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 J (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) U))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 J (.f64 #s(literal 1/2 binary64) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (*.f64 #s(literal -2 binary64) J) U))))
(.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 U U)) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))))
(.f64 (/.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (/.f64 U (/.f64 #s(literal 2 binary64) J)))
(.f64 (/.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) U))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(.f64 (.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 #s(literal 1 binary64) U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 (.f64 U U)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 U) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 U (.f64 U U)) #s(literal 1/2 binary64)) (.f64 (.f64 U U) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 (neg.f64 (.f64 U U)) (*.f64 J #s(literal 2 binary64))) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.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)))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U U) (.f64 J #s(literal 2 binary64))) (.f64 U (.f64 U U)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))))
(.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 U (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(neg.f64 (.f64 (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) U))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) U))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 U (.f64 J #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 (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 (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)))

Calls

2 calls:

36.0ms

30.0ms

(*.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
85.2%	2	`U`
88.3%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes33.0ms (0.2%)

Memory

11.5MiB live, 84.2MiB allocated

Counts

88 → 3

Calls

Call 1

Inputs
(neg.f64 U)
(.f64 U (.f64 K (*.f64 K #s(literal 1/8 binary64))))
(.f64 U (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(fma.f64 (.f64 U (.f64 K #s(literal 1/8 binary64))) K (neg.f64 U))
(.f64 (/.f64 #s(literal -1 binary64) U) (.f64 U U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(.f64 U (.f64 K (.f64 K (.f64 (*.f64 K K) #s(literal -1/384 binary64)))))
(.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U)
(/.f64 (.f64 U (.f64 U U)) (neg.f64 (*.f64 U U)))
(neg.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U))
(.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal -1 binary64) (.f64 U U)))
(.f64 #s(literal -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(.f64 U (.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) (.f64 K K))) K) K))
(.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (/.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 J #s(literal 2 binary64))) U)
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/46080 binary64)) #s(literal -1/384 binary64)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) U)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U (.f64 U U)))) (.f64 U (*.f64 U U)))
(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U)))))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 U (+.f64 #s(literal -1/384 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 K K)))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/46080 binary64) (.f64 K K) #s(literal -1/384 binary64))) (*.f64 U #s(literal 1/8 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 #s(literal -2 binary64) J))
(.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 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) U) (fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U)))))
(.f64 U (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(/.f64 (neg.f64 (.f64 U U)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 U) (neg.f64 (.f64 U U)))) (neg.f64 (.f64 U U))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)) (.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 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 J #s(literal -2 binary64) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) K) (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 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 K K) (fma.f64 #s(literal 1/4 binary64) J (.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64))) (.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 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 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 -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (.f64 K K)) U))) J))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (neg.f64 U)) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U))) (*.f64 U U))))
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 K (.f64 K #s(literal -1/8 binary64))))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal 1/512 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64))) (.f64 #s(literal 1/4 binary64) 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 U (/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 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 (neg.f64 U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) U)
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 J (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) U)
(.f64 (.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) J) #s(literal -1 binary64)) U)
(.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal -2 binary64) J) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U))
(.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 U (.f64 #s(literal -2 binary64) J)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) U)
(.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal 2 binary64))) U)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 J (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) U))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 J (.f64 #s(literal 1/2 binary64) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (*.f64 #s(literal -2 binary64) J) U))))
(.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 U U)) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))))
(.f64 (/.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (/.f64 U (/.f64 #s(literal 2 binary64) J)))
(.f64 (/.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) U))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(.f64 (.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 #s(literal 1 binary64) U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 (.f64 U U)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 U) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 U (.f64 U U)) #s(literal 1/2 binary64)) (.f64 (.f64 U U) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 (neg.f64 (.f64 U U)) (*.f64 J #s(literal 2 binary64))) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.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)))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U U) (.f64 J #s(literal 2 binary64))) (.f64 U (.f64 U U)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))))
(.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 U (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(neg.f64 (.f64 (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) U) (cos.f64 (*.f64 K #s(literal 1/2 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) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))

Calls

1 calls:

29.0ms

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

Results

Accuracy	Segments	Branch
88.3%	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)

regimes71.0ms (0.5%)

Memory

-32.3MiB live, 130.2MiB allocated

Counts

83 → 2

Calls

Call 1

Inputs
(neg.f64 U)
(.f64 U (.f64 K (*.f64 K #s(literal 1/8 binary64))))
(.f64 U (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(fma.f64 (.f64 U (.f64 K #s(literal 1/8 binary64))) K (neg.f64 U))
(.f64 (/.f64 #s(literal -1 binary64) U) (.f64 U U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(.f64 U (.f64 K (.f64 K (.f64 (*.f64 K K) #s(literal -1/384 binary64)))))
(.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U)
(/.f64 (.f64 U (.f64 U U)) (neg.f64 (*.f64 U U)))
(neg.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U))
(.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal -1 binary64) (.f64 U U)))
(.f64 #s(literal -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(.f64 U (.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) (.f64 K K))) K) K))
(.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (/.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 J #s(literal 2 binary64))) U)
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/46080 binary64)) #s(literal -1/384 binary64)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) U)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U (.f64 U U)))) (.f64 U (*.f64 U U)))
(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U)))))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 U (+.f64 #s(literal -1/384 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 K K)))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/46080 binary64) (.f64 K K) #s(literal -1/384 binary64))) (*.f64 U #s(literal 1/8 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 #s(literal -2 binary64) J))
(.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 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) U) (fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U)))))
(.f64 U (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(/.f64 (neg.f64 (.f64 U U)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 U) (neg.f64 (.f64 U U)))) (neg.f64 (.f64 U U))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)) (.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 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 J #s(literal -2 binary64) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) K) (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 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 K K) (fma.f64 #s(literal 1/4 binary64) J (.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64))) (.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 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 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 -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (.f64 K K)) U))) J))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (neg.f64 U)) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U))) (*.f64 U U))))
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 K (.f64 K #s(literal -1/8 binary64))))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal 1/512 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64))) (.f64 #s(literal 1/4 binary64) 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 U (/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 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 (neg.f64 U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) U)
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 J (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) U)
(.f64 (.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) J) #s(literal -1 binary64)) U)
(.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal -2 binary64) J) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U))
(.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 U (.f64 #s(literal -2 binary64) J)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) U)
(.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal 2 binary64))) U)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 J (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) U))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 J (.f64 #s(literal 1/2 binary64) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (*.f64 #s(literal -2 binary64) J) U))))
(.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 U U)) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))))
(.f64 (/.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (/.f64 U (/.f64 #s(literal 2 binary64) J)))
(.f64 (/.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) U))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(.f64 (.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 #s(literal 1 binary64) U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 (.f64 U U)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 U) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 U (.f64 U U)) #s(literal 1/2 binary64)) (.f64 (.f64 U U) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 (neg.f64 (.f64 U U)) (*.f64 J #s(literal 2 binary64))) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.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)))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 U U) (.f64 J #s(literal 2 binary64))) (.f64 U (.f64 U U)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #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))))

Calls

2 calls:

36.0ms

(*.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)))))

24.0ms

Results

Accuracy	Segments	Branch
80.1%	2	`U`
84.2%	2	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes203.0ms (1.5%)

Memory

17.7MiB live, 293.6MiB allocated

Counts

80 → 4

Calls

Call 1

Inputs
(neg.f64 U)
(.f64 U (.f64 K (*.f64 K #s(literal 1/8 binary64))))
(.f64 U (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(fma.f64 (.f64 U (.f64 K #s(literal 1/8 binary64))) K (neg.f64 U))
(.f64 (/.f64 #s(literal -1 binary64) U) (.f64 U U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(.f64 U (.f64 K (.f64 K (.f64 (*.f64 K K) #s(literal -1/384 binary64)))))
(.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U)
(/.f64 (.f64 U (.f64 U U)) (neg.f64 (*.f64 U U)))
(neg.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U))
(.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal -1 binary64) (.f64 U U)))
(.f64 #s(literal -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(.f64 U (.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) (.f64 K K))) K) K))
(.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (/.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 J #s(literal 2 binary64))) U)
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/46080 binary64)) #s(literal -1/384 binary64)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) U)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U (.f64 U U)))) (.f64 U (*.f64 U U)))
(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U)))))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 U (+.f64 #s(literal -1/384 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 K K)))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/46080 binary64) (.f64 K K) #s(literal -1/384 binary64))) (*.f64 U #s(literal 1/8 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 #s(literal -2 binary64) J))
(.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 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) U) (fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U)))))
(.f64 U (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(/.f64 (neg.f64 (.f64 U U)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 U) (neg.f64 (.f64 U U)))) (neg.f64 (.f64 U U))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)) (.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 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 J #s(literal -2 binary64) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) K) (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 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 K K) (fma.f64 #s(literal 1/4 binary64) J (.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64))) (.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 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 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 -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (.f64 K K)) U))) J))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (neg.f64 U)) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U))) (*.f64 U U))))
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 K (.f64 K #s(literal -1/8 binary64))))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal 1/512 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64))) (.f64 #s(literal 1/4 binary64) 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 U (/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 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 (neg.f64 U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) U)
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 J (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) U)
(.f64 (.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) J) #s(literal -1 binary64)) U)
(.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal -2 binary64) J) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U))
(.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 U (.f64 #s(literal -2 binary64) J)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) U)
(.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal 2 binary64))) U)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 J (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) U))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 J (.f64 #s(literal 1/2 binary64) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (*.f64 #s(literal -2 binary64) J) U))))
(.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 U U)) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))))
(.f64 (/.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (/.f64 U (/.f64 #s(literal 2 binary64) J)))
(.f64 (/.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) U))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) U) (/.f64 U (.f64 J J)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(.f64 (.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 #s(literal 1 binary64) U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 (.f64 U U)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 U) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 U (.f64 U U)) #s(literal 1/2 binary64)) (.f64 (.f64 U U) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 (neg.f64 (.f64 U U)) (*.f64 J #s(literal 2 binary64))) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))

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

Calls

6 calls:

59.0ms	(/.f64 K #s(literal 2 binary64))
45.0ms	K
24.0ms	J
24.0ms	U
23.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
77.8%	4	`U`
66.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
66.7%	2	`K`
66.7%	2	`(/.f64 K #s(literal 2 binary64))`
75.3%	2	`J`
81.1%	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 52 to 37 computations (28.8% saved)

regimes71.0ms (0.5%)

Memory

10.5MiB live, 127.8MiB allocated

Counts

74 → 5

Calls

Call 1

Inputs
(neg.f64 U)
(.f64 U (.f64 K (*.f64 K #s(literal 1/8 binary64))))
(.f64 U (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(fma.f64 (.f64 U (.f64 K #s(literal 1/8 binary64))) K (neg.f64 U))
(.f64 (/.f64 #s(literal -1 binary64) U) (.f64 U U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(.f64 U (.f64 K (.f64 K (.f64 (*.f64 K K) #s(literal -1/384 binary64)))))
(.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U)
(/.f64 (.f64 U (.f64 U U)) (neg.f64 (*.f64 U U)))
(neg.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U))
(.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal -1 binary64) (.f64 U U)))
(.f64 #s(literal -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(.f64 U (.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) (.f64 K K))) K) K))
(.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (/.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 J #s(literal 2 binary64))) U)
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/46080 binary64)) #s(literal -1/384 binary64)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) U)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U (.f64 U U)))) (.f64 U (*.f64 U U)))
(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U)))))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 U (+.f64 #s(literal -1/384 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 K K)))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/46080 binary64) (.f64 K K) #s(literal -1/384 binary64))) (*.f64 U #s(literal 1/8 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 #s(literal -2 binary64) J))
(.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 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) U) (fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U)))))
(.f64 U (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(/.f64 (neg.f64 (.f64 U U)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 U) (neg.f64 (.f64 U U)))) (neg.f64 (.f64 U U))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)) (.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 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 J #s(literal -2 binary64) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) K) (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 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 K K) (fma.f64 #s(literal 1/4 binary64) J (.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64))) (.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 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 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 -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (.f64 K K)) U))) J))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (neg.f64 U)) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U))) (*.f64 U U))))
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 K (.f64 K #s(literal -1/8 binary64))))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal 1/512 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64))) (.f64 #s(literal 1/4 binary64) 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 U (/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 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 (neg.f64 U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) U)
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 J (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) U)
(.f64 (.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) J) #s(literal -1 binary64)) U)
(.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal -2 binary64) J) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U))
(.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 U (.f64 #s(literal -2 binary64) J)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) U)
(.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal 2 binary64))) U)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 J (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) U))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 J (.f64 #s(literal 1/2 binary64) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (*.f64 #s(literal -2 binary64) J) U))))
(.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 U U)) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))))
(.f64 (/.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (/.f64 U (/.f64 #s(literal 2 binary64) J)))
(.f64 (/.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) U))

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

Calls

3 calls:

23.0ms

21.0ms

(*.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
72.2%	2	`U`
70.1%	2	`J`
78.8%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes114.0ms (0.8%)

Memory

-36.0MiB live, 157.9MiB allocated

Counts

53 → 3

Calls

Call 1

Inputs
(neg.f64 U)
(.f64 U (.f64 K (*.f64 K #s(literal 1/8 binary64))))
(.f64 U (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(fma.f64 (.f64 U (.f64 K #s(literal 1/8 binary64))) K (neg.f64 U))
(.f64 (/.f64 #s(literal -1 binary64) U) (.f64 U U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(.f64 U (.f64 K (.f64 K (.f64 (*.f64 K K) #s(literal -1/384 binary64)))))
(.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U)
(/.f64 (.f64 U (.f64 U U)) (neg.f64 (*.f64 U U)))
(neg.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U))
(.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal -1 binary64) (.f64 U U)))
(.f64 #s(literal -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(.f64 U (.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) (.f64 K K))) K) K))
(.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (/.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 J #s(literal 2 binary64))) U)
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/46080 binary64)) #s(literal -1/384 binary64)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) U)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U (.f64 U U)))) (.f64 U (*.f64 U U)))
(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U)))))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 U (+.f64 #s(literal -1/384 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 K K)))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/46080 binary64) (.f64 K K) #s(literal -1/384 binary64))) (*.f64 U #s(literal 1/8 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 #s(literal -2 binary64) J))
(.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 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) U) (fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U)))))
(.f64 U (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(/.f64 (neg.f64 (.f64 U U)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 U) (neg.f64 (.f64 U U)))) (neg.f64 (.f64 U U))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)) (.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 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 J #s(literal -2 binary64) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) K) (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 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 K K) (fma.f64 #s(literal 1/4 binary64) J (.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64))) (.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 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 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 -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (.f64 K K)) U))) J))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (neg.f64 U)) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U))) (*.f64 U U))))
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 K (.f64 K #s(literal -1/8 binary64))))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal 1/512 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64))) (.f64 #s(literal 1/4 binary64) 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 U (/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 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 (neg.f64 U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) U)

Outputs

(neg.f64 U)

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

Calls

6 calls:

31.0ms	K
17.0ms	U
17.0ms	(/.f64 K #s(literal 2 binary64))
16.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
15.0ms	J

Results

Accuracy	Segments	Branch
50.8%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
48.0%	2	`K`
48.0%	2	`(/.f64 K #s(literal 2 binary64))`
52.5%	3	`J`
53.7%	2	`U`
57.9%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes18.0ms (0.1%)

Memory

-4.7MiB live, 33.0MiB allocated

Counts

50 → 2

Calls

Call 1

Inputs
(neg.f64 U)
(.f64 U (.f64 K (*.f64 K #s(literal 1/8 binary64))))
(.f64 U (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(fma.f64 (.f64 U (.f64 K #s(literal 1/8 binary64))) K (neg.f64 U))
(.f64 (/.f64 #s(literal -1 binary64) U) (.f64 U U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(.f64 U (.f64 K (.f64 K (.f64 (*.f64 K K) #s(literal -1/384 binary64)))))
(.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U)
(/.f64 (.f64 U (.f64 U U)) (neg.f64 (*.f64 U U)))
(neg.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U))
(.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal -1 binary64) (.f64 U U)))
(.f64 #s(literal -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(.f64 U (.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) (.f64 K K))) K) K))
(.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (/.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 J #s(literal 2 binary64))) U)
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/46080 binary64)) #s(literal -1/384 binary64)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) U)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U (.f64 U U)))) (.f64 U (*.f64 U U)))
(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U)))))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 U (+.f64 #s(literal -1/384 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 K K)))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/46080 binary64) (.f64 K K) #s(literal -1/384 binary64))) (*.f64 U #s(literal 1/8 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 #s(literal -2 binary64) J))
(.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 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) U) (fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U)))))
(.f64 U (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(/.f64 (neg.f64 (.f64 U U)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 U) (neg.f64 (.f64 U U)))) (neg.f64 (.f64 U U))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)) (.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 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 J #s(literal -2 binary64) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) K) (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 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 K K) (fma.f64 #s(literal 1/4 binary64) J (.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64))) (.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 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 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 -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (.f64 K K)) U))) J))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (neg.f64 U)) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) U))) (*.f64 U U))))
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 K (.f64 K #s(literal -1/8 binary64))))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal 1/512 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64))) (.f64 #s(literal 1/4 binary64) 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 U (/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 binary64)))))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))

Outputs

(neg.f64 U)

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))

Calls

1 calls:

15.0ms

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

Results

Accuracy	Segments	Branch
54.7%	2	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes29.0ms (0.2%)

Memory

-5.6MiB live, 70.1MiB allocated

Counts

42 → 4

Calls

Call 1

Inputs
(neg.f64 U)
(.f64 U (.f64 K (*.f64 K #s(literal 1/8 binary64))))
(.f64 U (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(fma.f64 (.f64 U (.f64 K #s(literal 1/8 binary64))) K (neg.f64 U))
(.f64 (/.f64 #s(literal -1 binary64) U) (.f64 U U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(.f64 U (.f64 K (.f64 K (.f64 (*.f64 K K) #s(literal -1/384 binary64)))))
(.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U)
(/.f64 (.f64 U (.f64 U U)) (neg.f64 (*.f64 U U)))
(neg.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U))
(.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal -1 binary64) (.f64 U U)))
(.f64 #s(literal -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(.f64 U (.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) (.f64 K K))) K) K))
(.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (/.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 J #s(literal 2 binary64))) U)
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/46080 binary64)) #s(literal -1/384 binary64)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) U)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U (.f64 U U)))) (.f64 U (*.f64 U U)))
(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U)))))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 U (+.f64 #s(literal -1/384 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 K K)))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/46080 binary64) (.f64 K K) #s(literal -1/384 binary64))) (*.f64 U #s(literal 1/8 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 #s(literal -2 binary64) J))
(.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 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) U) (fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U)))))
(.f64 U (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(/.f64 (neg.f64 (.f64 U U)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 U) (neg.f64 (.f64 U U)))) (neg.f64 (.f64 U U))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)) (.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 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(.f64 (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 J #s(literal -2 binary64) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) K) (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 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 K K) (fma.f64 #s(literal 1/4 binary64) J (.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64))) (.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))))

Outputs
(neg.f64 U)
(.f64 (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))
(fma.f64 (.f64 U (.f64 K #s(literal 1/8 binary64))) K (neg.f64 U))

Calls

2 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
53.8%	4	`U`
56.3%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes17.0ms (0.1%)

Memory

-11.7MiB live, 29.9MiB allocated

Counts

39 → 4

Calls

Call 1

Inputs
(neg.f64 U)
(.f64 U (.f64 K (*.f64 K #s(literal 1/8 binary64))))
(.f64 U (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))
(/.f64 (*.f64 U U) (neg.f64 U))
(fma.f64 (.f64 U (.f64 K #s(literal 1/8 binary64))) K (neg.f64 U))
(.f64 (/.f64 #s(literal -1 binary64) U) (.f64 U U))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(.f64 U (.f64 K (.f64 K (.f64 (*.f64 K K) #s(literal -1/384 binary64)))))
(.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (.f64 #s(literal -2 binary64) J) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U)
(/.f64 (.f64 U (.f64 U U)) (neg.f64 (*.f64 U U)))
(neg.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 U (*.f64 K K)) U))
(.f64 (.f64 U (.f64 U U)) (/.f64 #s(literal -1 binary64) (.f64 U U)))
(.f64 #s(literal -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(.f64 U (.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) (.f64 K K))) K) K))
(.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(.f64 (/.f64 (.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64))) (.f64 J #s(literal 2 binary64))) U)
(.f64 U (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/46080 binary64)) #s(literal -1/384 binary64)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) U)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U (.f64 U U)))) (.f64 U (*.f64 U U)))
(.f64 (fma.f64 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U)))))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 U (+.f64 #s(literal -1/384 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 K K)))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/46080 binary64) (.f64 K K) #s(literal -1/384 binary64))) (*.f64 U #s(literal 1/8 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 #s(literal -2 binary64) J))
(.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 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) U) (fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U)))))
(.f64 U (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(/.f64 (neg.f64 (.f64 U U)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 U) (neg.f64 (.f64 U U)))) (neg.f64 (.f64 U U))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)) (.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 J (.f64 (.f64 K K) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))

Outputs
(neg.f64 U)
(.f64 #s(literal -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))
(fma.f64 (.f64 U (.f64 K #s(literal 1/8 binary64))) K (neg.f64 U))

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
55.2%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes60.0ms (0.4%)

Memory

9.4MiB live, 119.7MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs
(.f64 #s(literal -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J))
(neg.f64 U)

Calls

6 calls:

11.0ms	(/.f64 K #s(literal 2 binary64))
10.0ms	U
9.0ms	J
9.0ms	K
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
40.1%	2	`K`
40.1%	2	`(/.f64 K #s(literal 2 binary64))`
36.7%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
47.3%	2	`U`
45.5%	2	`J`
47.4%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes197.0ms (1.4%)

Memory

7.6MiB live, 46.2MiB allocated

Accuracy

Total -23.2b remaining (-57.3%)

Threshold costs -23.2b (-57.3%)

Counts

16 → 1

Calls

Call 1

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

Outputs
(neg.f64 U)

Calls

5 calls:

175.0ms	K
5.0ms	J
5.0ms	U
5.0ms	(/.f64 K #s(literal 2 binary64))
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
36.7%	1	`K`
36.7%	1	`(/.f64 K #s(literal 2 binary64))`
36.7%	1	`J`
36.7%	1	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
36.7%	1	`U`

Compiler

Compiled 45 to 31 computations (31.1% saved)

bsearch1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.5199920258755825e+300	+inf
0.0ms	-inf	-2.2283882185615762e+300

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.5199920258755825e+300	+inf
0.0ms	-inf	-2.2283882185615762e+300

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.5199920258755825e+300	+inf
0.0ms	-2.625129967151623e+233	-4.066708862722173e+232
0.0ms	-inf	-2.2283882185615762e+300

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.5199920258755825e+300	+inf
0.0ms	2.2195293230354603e-154	4.3598517270689806e-154
0.0ms	-inf	-2.2283882185615762e+300

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.5199920258755825e+300	+inf
0.0ms	2.2195293230354603e-154	4.3598517270689806e-154
0.0ms	-inf	-2.2283882185615762e+300

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.5199920258755825e+300	+inf
0.0ms	-inf	-2.2283882185615762e+300

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.5199920258755825e+300	+inf
0.0ms	-inf	-2.2283882185615762e+300

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.5199920258755825e+300	+inf
0.0ms	-inf	-2.2283882185615762e+300

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-2.2283882185615762e+300

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-4.760258920548501e-178	-1.1250670941358976e-178
0.0ms	-2.82366881611353e-88	-4.4567402385685864e-95
0.0ms	-inf	-2.2283882185615762e+300

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 2.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	-4.760258920548501e-178	-1.1250670941358976e-178
0.0ms	-2.82366881611353e-88	-4.4567402385685864e-95
0.0ms	-1.6434598149632217e+160	-3.051459946693264e+155
0.0ms	-inf	-2.2283882185615762e+300

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-4.8396630798629704e-213	-1.935145153491832e-229
0.0ms	-inf	-2.2283882185615762e+300

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-2.2283882185615762e+300

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-7.72259540238202e-156	-2.2875630746734382e-157
0.0ms	-3.1884914459746578e+180	-3.006634519420418e+177
0.0ms	-inf	-2.2283882185615762e+300

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-7.72259540238202e-156	-2.2875630746734382e-157
0.0ms	-3.1884914459746578e+180	-3.006634519420418e+177
0.0ms	-inf	-2.2283882185615762e+300

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch19.0ms (0.1%)

Memory

-4.8MiB live, 31.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	434700910747363300.0	3995053849410080300.0

Samples

11.0ms

96×

valid

Compiler

Compiled 180 to 125 computations (30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (36.6% of total)

ival-cos: 2.0ms (24.4% of total)

ival-div: 1.0ms (12.2% of total)

ival-sqrt: 1.0ms (12.2% of total)

ival-pow2: 1.0ms (12.2% 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)

simplify32.0ms (0.2%)

Memory

-10.8MiB live, 62.2MiB allocated

Algorithm

1×	egg-herbie

Rules

112×	`*-commutative_binary64`
24×	`+-commutative_binary64`
16×	`sub-neg_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	1706
1	243	1706
2	263	1706
3	284	1706
4	295	1706
5	300	1706
6	301	1706

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 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800 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 (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)))))
(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 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800 binary64)) (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) U) #s(literal -2 binary64))))) (.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -1 binary64)))))
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(neg.f64 U)

Outputs
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(if (<=.f64 U #s(literal 520000000000000000 binary64)) (.f64 #s(literal -2 binary64) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) J)) (neg.f64 U))
(neg.f64 U)

soundness2.1s (15.4%)

Memory

-25.8MiB live, 1 595.2MiB allocated

Rules

15 100×	`lower-fma.f64`
15 100×	`lower-fma.f32`
12 406×	`lower-fma.f64`
12 406×	`lower-fma.f32`
8 660×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	840	12291
1	2783	12013
2	7595	12008
0	8038	11316
0	44	225
0	80	221
1	278	211
2	1971	211
0	8603	209
0	389	4135
1	1271	4017
2	5051	3871
0	8531	3709
0	47	339
0	87	339
1	290	307
2	2034	255
0	8211	252
0	658	8230
1	2204	7974
0	8362	7534
0	44	233
0	81	233
1	270	225
2	1735	225
0	8520	225
0	17	76
0	28	76
1	79	76
2	432	76
3	4364	76
0	8129	76

Stop Event

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

Compiler

Compiled 3 065 to 1 138 computations (62.9% saved)

preprocess132.0ms (0.9%)

Memory

34.7MiB live, 272.5MiB allocated

Remove

(negabs J)

(abs K)

Compiler

Compiled 4 296 to 646 computations (85% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze270.0ms (1.9%)

sample1.7s (12.1%)

preprocess103.0ms (0.7%)

explain238.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify74.0ms (0.5%)

localize79.0ms (0.6%)

series76.0ms (0.5%)

rewrite433.0ms (3.1%)

simplify673.0ms (4.8%)

eval200.0ms (1.4%)

prune226.0ms (1.6%)

simplify313.0ms (2.2%)

localize250.0ms (1.8%)

series67.0ms (0.5%)

rewrite337.0ms (2.4%)

simplify450.0ms (3.2%)

eval327.0ms (2.3%)

prune218.0ms (1.6%)

simplify256.0ms (1.8%)

localize175.0ms (1.3%)

series47.0ms (0.3%)

rewrite317.0ms (2.3%)

simplify562.0ms (4%)

eval427.0ms (3.1%)

prune399.0ms (2.9%)

simplify270.0ms (1.9%)

localize186.0ms (1.3%)

series27.0ms (0.2%)

rewrite352.0ms (2.5%)

simplify532.0ms (3.8%)

eval272.0ms (2%)

prune357.0ms (2.6%)

regimes214.0ms (1.5%)

regimes37.0ms (0.3%)

regimes65.0ms (0.5%)

regimes91.0ms (0.7%)

regimes49.0ms (0.3%)

regimes71.0ms (0.5%)

regimes71.0ms (0.5%)

regimes33.0ms (0.2%)

regimes71.0ms (0.5%)

regimes203.0ms (1.5%)

regimes71.0ms (0.5%)

regimes114.0ms (0.8%)

regimes18.0ms (0.1%)

regimes29.0ms (0.2%)

regimes17.0ms (0.1%)

regimes60.0ms (0.4%)

regimes197.0ms (1.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch19.0ms (0.1%)

simplify32.0ms (0.2%)

soundness2.1s (15.4%)

preprocess132.0ms (0.9%)

end0.0ms (0%)

Profiling