Metrics for Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample579.0ms (23.5%)

Memory

19.9MiB live, 1 075.9MiB allocated

Samples

332.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-add: 102.0ms (91.7% of total)

ival-true: 6.0ms (5.4% of total)

ival-assert: 3.0ms (2.7% of total)

Bogosity

explain60.0ms (2.4%)

Memory

1.7MiB live, 105.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(+.f64 x y)`
-	-	`(+.f64 (+.f64 x y) x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

17.0ms

512×

valid

Compiler

Compiled 39 to 20 computations (48.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 5.0ms (87.4% of total)

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

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

preprocess43.0ms (1.7%)

Memory

-9.9MiB live, 28.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	38	25
2	98	25
3	254	25
4	431	25
5	506	25
6	518	25
0	4	5
0	6	5
1	9	5
2	12	5
3	14	5
4	15	5
0	15	4

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) x)

Outputs
(+.f64 (+.f64 x y) x)
(fma.f64 #s(literal 2 binary64) x y)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 x y) x)

Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x y)
cost-diff	0	(+.f64 (+.f64 x y) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	9	10
2	12	10
3	14	10
4	15	10
0	15	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) x)
(+.f64 x y)
x
y

Outputs
(+.f64 (+.f64 x y) x)
(fma.f64 #s(literal 2 binary64) x y)
(+.f64 x y)
(+.f64 y x)
x
y

localize40.0ms (1.6%)

Memory

-9.9MiB live, 29.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 x y)
accuracy	0.015625	(+.f64 (+.f64 x y) x)

Samples

36.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 2.0ms (73.6% of total)

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

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

series3.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())

Outputs
#s(alt (* 2 x) (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 2 (/ x y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 2 (/ x y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 2 (/ x y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -2 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -2 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -2 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 x) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 x) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 x) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ y x))) (taylor inf x) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ y x))) (taylor inf x) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ y x))) (taylor inf x) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x y) x) (patch (+.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	((+ (+ x y) x) (+ x y))
0.0ms	x	@	inf	((+ (+ x y) x) (+ x y))
0.0ms	y	@	-inf	((+ (+ x y) x) (+ x y))
0.0ms	x	@	0	((+ (+ x y) x) (+ x y))
0.0ms	x	@	-inf	((+ (+ x y) x) (+ x y))

simplify141.0ms (5.7%)

Memory

22.2MiB live, 168.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	162
1	102	162
2	231	162
3	684	162
4	1813	162
5	2759	162
6	3836	162
7	4303	162
8	4593	162
9	4688	162
10	6579	162
0	8363	144

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 39

Calls

Call 1

Inputs
(* 2 x)
(+ y (* 2 x))
(+ y (* 2 x))
(+ y (* 2 x))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (* 2 (/ x y))))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(+ y (* 2 x))
(+ y (* 2 x))
(+ y (* 2 x))
y
(+ x y)
(+ x y)
(+ x y)
(* 2 x)
(* x (+ 2 (/ y x)))
(* x (+ 2 (/ y x)))
(* x (+ 2 (/ y x)))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* 2 x)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))

Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) x y)
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) x y)
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) x y)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 #s(literal 2 binary64) x y)
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 #s(literal 2 binary64) x y)
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 #s(literal 2 binary64) x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
y
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (/ y x)))
(fma.f64 #s(literal 2 binary64) x y)
(* x (+ 2 (/ y x)))
(fma.f64 #s(literal 2 binary64) x y)
(* x (+ 2 (/ y x)))
(fma.f64 #s(literal 2 binary64) x y)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 #s(literal 2 binary64) x y)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 #s(literal 2 binary64) x y)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 #s(literal 2 binary64) x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)

rewrite193.0ms (7.9%)

Memory

18.8MiB live, 285.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	32	8
2	279	8
3	4621	8
0	8114	7

Stop Event

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

Counts

2 → 205

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) x)
(+.f64 x y)

Outputs
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eval75.0ms (3%)

Memory: -16.9MiB live, 109.5MiB allocated
Compiler: Compiled 4 545 to 615 computations (86.5% saved)

prune6.0ms (0.3%)

Memory

-18.1MiB live, 20.5MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	242	2	244
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	243	2	245

Accuracy

100.0%

Counts

245 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 #s(literal 2 binary64) x y)
▶	52.0%	#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify3.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal 2 binary64) x y)
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	10	21
1	15	21
2	18	20
3	18	20
0	18	20

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(fma.f64 #s(literal 2 binary64) x y)
#s(literal 2 binary64)
x
y

Outputs
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ x y) x) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 x #s(literal 2 binary64) y)
#s(literal 2 binary64)
x
y

localize34.0ms (1.4%)

Memory

5.0MiB live, 76.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 2 binary64) x y)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	30.69754220123822	#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))

Samples

17.0ms

256×

valid

Compiler

Compiled 36 to 15 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 4.0ms (67.7% of total)

ival-mult: 2.0ms (33.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())

Inputs

#s(alt #s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())

#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())

#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())

Outputs
#s(alt (* 2 x) (taylor 0 y) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 y) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 y) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 y) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 y) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 2 (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 2 (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 2 (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 2 (/ x y)))) (taylor inf y) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 2 (/ x y)))) (taylor inf y) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 2 (/ x y)))) (taylor inf y) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -2 (/ x y)) 1))) (taylor -inf y) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -2 (/ x y)) 1))) (taylor -inf y) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -2 (/ x y)) 1))) (taylor -inf y) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -2 (/ x y)) 1))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -2 (/ x y)) 1))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -2 (/ x y)) 1))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 x) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 x) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 x) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ y x))) (taylor inf x) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ y x))) (taylor inf x) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ y x))) (taylor inf x) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ y x))) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ y x))) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ y x))) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (+ x y) x) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (+ x y) x) (* 2 x) (+ (* 2 x) y))
0.0ms	x	@	inf	((+ (+ x y) x) (* 2 x) (+ (* 2 x) y))
0.0ms	x	@	0	((+ (+ x y) x) (* 2 x) (+ (* 2 x) y))
0.0ms	y	@	inf	((+ (+ x y) x) (* 2 x) (+ (* 2 x) y))
0.0ms	y	@	-inf	((+ (+ x y) x) (* 2 x) (+ (* 2 x) y))

simplify185.0ms (7.5%)

Memory

26.1MiB live, 181.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	240
1	64	240
2	141	240
3	398	240
4	1108	240
5	2539	240
6	3437	240
7	4311	240
8	4789	240
9	4964	240
10	5054	240
11	5752	240
12	6068	240
13	6070	240
14	6070	240
15	6070	240
0	8131	204

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 54

Calls

Call 1

Inputs
(* 2 x)
(+ y (* 2 x))
(+ y (* 2 x))
(+ y (* 2 x))
(* 2 x)
(+ y (* 2 x))
(+ y (* 2 x))
(+ y (* 2 x))
y
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (* 2 (/ x y))))
y
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (* 2 (/ x y))))
y
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
y
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
y
(+ y (* 2 x))
(+ y (* 2 x))
(+ y (* 2 x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
y
(+ y (* 2 x))
(+ y (* 2 x))
(+ y (* 2 x))
(* 2 x)
(* x (+ 2 (/ y x)))
(* x (+ 2 (/ y x)))
(* x (+ 2 (/ y x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (+ 2 (/ y x)))
(* x (+ 2 (/ y x)))
(* x (+ 2 (/ y x)))
(* 2 x)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ y x)) 2)))

Outputs
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
y
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 x #s(literal 2 binary64) y)
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 x #s(literal 2 binary64) y)
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 x #s(literal 2 binary64) y)
y
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 x #s(literal 2 binary64) y)
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 x #s(literal 2 binary64) y)
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 x #s(literal 2 binary64) y)
y
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 x #s(literal 2 binary64) y)
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 x #s(literal 2 binary64) y)
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 x #s(literal 2 binary64) y)
y
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 x #s(literal 2 binary64) y)
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 x #s(literal 2 binary64) y)
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 x #s(literal 2 binary64) y)
y
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
y
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (/ y x)))
(fma.f64 x #s(literal 2 binary64) y)
(* x (+ 2 (/ y x)))
(fma.f64 x #s(literal 2 binary64) y)
(* x (+ 2 (/ y x)))
(fma.f64 x #s(literal 2 binary64) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (/ y x)))
(fma.f64 x #s(literal 2 binary64) y)
(* x (+ 2 (/ y x)))
(fma.f64 x #s(literal 2 binary64) y)
(* x (+ 2 (/ y x)))
(fma.f64 x #s(literal 2 binary64) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 x #s(literal 2 binary64) y)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 x #s(literal 2 binary64) y)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 x #s(literal 2 binary64) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 x #s(literal 2 binary64) y)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 x #s(literal 2 binary64) y)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 x #s(literal 2 binary64) y)

rewrite148.0ms (6%)

Memory

-48.2MiB live, 331.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	16
0	10	16
1	48	16
2	404	15
3	6031	15
0	8035	15

Stop Event

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

Counts

3 → 149

Calls

Call 1

Inputs
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) x y)

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
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#<batchref>
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#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
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#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval22.0ms (0.9%)

Memory: 26.9MiB live, 65.8MiB allocated
Compiler: Compiled 3 495 to 443 computations (87.3% saved)

prune8.0ms (0.3%)

Memory

-11.1MiB live, 27.5MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	202	1	203
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	203	2	205

Accuracy

100.0%

Counts

205 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 #s(literal 2 binary64) x y)
▶	52.0%	#s(approx (+ (+ x y) x) (+.f64 x x))

Compiler

Compiled 8 to 8 computations (0% saved)

simplify3.0ms (0.1%)

Memory

7.7MiB live, 7.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	-128	(+.f64 x x)
cost-diff	0	#s(approx (+ (+ x y) x) (+.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	7	13
1	12	13
2	15	13
0	15	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ x y) x) (+.f64 x x))
(+.f64 x x)
x

Outputs
#s(approx (+ (+ x y) x) (+.f64 x x))
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x

localize15.0ms (0.6%)

Memory

-2.3MiB live, 42.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 x x)
accuracy	30.69754220123822	#s(approx (+ (+ x y) x) (+.f64 x x))

Samples

11.0ms

256×

valid

Compiler

Compiled 19 to 11 computations (42.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 4.0ms (98.9% of total)

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

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

series2.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())
#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())

Outputs
#s(alt (* 2 x) (taylor 0 y) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 y) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 y) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 y) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 2 (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 2 (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 2 (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -2 (/ x y)) 1))) (taylor -inf y) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -2 (/ x y)) 1))) (taylor -inf y) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -2 (/ x y)) 1))) (taylor -inf y) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 x) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 x) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 x) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ y x))) (taylor inf x) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ y x))) (taylor inf x) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ y x))) (taylor inf x) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ x y) x) (+.f64 x x)) (patch #s(approx (+ (+ x y) x) (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((+ (+ x y) x) (+ x x))
0.0ms	x	@	-inf	((+ (+ x y) x) (+ x x))
0.0ms	x	@	0	((+ (+ x y) x) (+ x x))
0.0ms	y	@	inf	((+ (+ x y) x) (+ x x))
0.0ms	y	@	-inf	((+ (+ x y) x) (+ x x))

simplify179.0ms (7.3%)

Memory

1.1MiB live, 160.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	138
1	64	138
2	141	138
3	398	138
4	1108	138
5	2539	138
6	3437	138
7	4311	138
8	4789	138
9	4964	138
10	5054	138
11	5752	138
12	6068	138
13	6070	138
14	6070	138
15	6070	138
0	8131	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

Inputs
(* 2 x)
(+ y (* 2 x))
(+ y (* 2 x))
(+ y (* 2 x))
y
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (* 2 (/ x y))))
y
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
y
(+ y (* 2 x))
(+ y (* 2 x))
(+ y (* 2 x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (+ 2 (/ y x)))
(* x (+ 2 (/ y x)))
(* x (+ 2 (/ y x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)

Outputs
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
y
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 x #s(literal 2 binary64) y)
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 x #s(literal 2 binary64) y)
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 x #s(literal 2 binary64) y)
y
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 x #s(literal 2 binary64) y)
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 x #s(literal 2 binary64) y)
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 x #s(literal 2 binary64) y)
y
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (/ y x)))
(fma.f64 x #s(literal 2 binary64) y)
(* x (+ 2 (/ y x)))
(fma.f64 x #s(literal 2 binary64) y)
(* x (+ 2 (/ y x)))
(fma.f64 x #s(literal 2 binary64) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 x #s(literal 2 binary64) y)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 x #s(literal 2 binary64) y)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 x #s(literal 2 binary64) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

rewrite36.0ms (1.5%)

Memory

-2.5MiB live, 77.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
0	7	12
1	41	12
0	346	11

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

2 → 12

Calls

Call 1

Inputs
#s(approx (+ (+ x y) x) (+.f64 x x))
(+.f64 x x)

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval6.0ms (0.2%)

Memory: -23.0MiB live, 16.5MiB allocated
Compiler: Compiled 256 to 42 computations (83.6% saved)

prune3.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	45	2	47

Accuracy

100.0%

Counts

47 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 #s(literal 2 binary64) x y)
✓	52.0%	#s(approx (+ (+ x y) x) (+.f64 x x))

Compiler

Compiled 25 to 18 computations (28% saved)

regimes10.0ms (0.4%)

Memory

-16.5MiB live, 25.0MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ x y) x) (+.f64 x x))
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
(+.f64 (+.f64 x y) x)
(fma.f64 #s(literal 2 binary64) x y)

Outputs
(fma.f64 #s(literal 2 binary64) x y)

Calls

3 calls:

5.0ms	x
2.0ms	(+.f64 (+.f64 x y) x)
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 x y) x)`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes6.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ x y) x) (+.f64 x x))
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
(+.f64 (+.f64 x y) x)

Outputs
(+.f64 (+.f64 x y) x)

Calls

3 calls:

2.0ms	(+.f64 (+.f64 x y) x)
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 x y) x)`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes6.0ms (0.2%)

Memory

-21.8MiB live, 17.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ x y) x) (+.f64 x x))
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))

Outputs
#s(approx (+ (+ x y) x) (+.f64 x x))

Calls

3 calls:

2.0ms	x
2.0ms	(+.f64 (+.f64 x y) x)
2.0ms	y

Results

Accuracy	Segments	Branch
52.0%	1	`x`
52.0%	1	`y`
52.0%	1	`(+.f64 (+.f64 x y) x)`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

simplify23.0ms (0.9%)

Memory

32.6MiB live, 72.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	12	18

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 #s(literal 2 binary64) x y)
(+.f64 (+.f64 x y) x)
#s(approx (+ (+ x y) x) (+.f64 x x))

Outputs
(fma.f64 #s(literal 2 binary64) x y)
(+.f64 (+.f64 x y) x)
(+.f64 (+.f64 y x) x)
#s(approx (+ (+ x y) x) (+.f64 x x))

soundness515.0ms (20.9%)

Memory

2.7MiB live, 363.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
0	10	16
1	48	16
2	404	15
3	6031	15
0	8035	15
0	4	8
0	6	8
1	32	8
2	279	8
3	4621	8
0	8114	7
0	35	162
1	102	162
2	231	162
3	684	162
4	1813	162
5	2759	162
6	3836	162
7	4303	162
8	4593	162
9	4688	162
10	6579	162
0	8363	144

Stop Event

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

Compiler

Compiled 29 to 23 computations (20.7% saved)

preprocess108.0ms (4.4%)

Memory: -28.6MiB live, 172.0MiB allocated
Compiler: Compiled 46 to 34 computations (26.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	27
1	38	25
2	98	25
3	254	25
4	431	25
5	506	25
6	518	25
0	4	5
0	6	5
1	9	5
2	12	5
3	14	5
4	15	5
0	15	4

Iter	Nodes	Cost
0	12	27
1	38	25
2	98	25
3	254	25
4	431	25
5	506	25
6	518	25
0	4	5
0	6	5
1	9	5
2	12	5
3	14	5
4	15	5
0	15	4

start0.0ms (0%)

analyze0.0ms (0%)

sample579.0ms (23.5%)

explain60.0ms (2.4%)

preprocess43.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize40.0ms (1.6%)

series3.0ms (0.1%)

simplify141.0ms (5.7%)

rewrite193.0ms (7.9%)

eval75.0ms (3%)

prune6.0ms (0.3%)

simplify3.0ms (0.1%)

localize34.0ms (1.4%)

series3.0ms (0.1%)

simplify185.0ms (7.5%)

rewrite148.0ms (6%)

eval22.0ms (0.9%)

prune8.0ms (0.3%)

simplify3.0ms (0.1%)

localize15.0ms (0.6%)

series2.0ms (0.1%)

simplify179.0ms (7.3%)

rewrite36.0ms (1.5%)

eval6.0ms (0.2%)

prune3.0ms (0.1%)

regimes10.0ms (0.4%)

regimes6.0ms (0.2%)

regimes6.0ms (0.2%)

simplify23.0ms (0.9%)

soundness515.0ms (20.9%)

preprocess108.0ms (4.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	27
1	38	25
2	98	25
3	254	25
4	431	25
5	506	25
6	518	25
0	4	5
0	6	5
1	9	5
2	12	5
3	14	5
4	15	5
0	15	4