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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample458.0ms (21.2%)

Memory

37.8MiB live, 583.7MiB allocated

Samples

273.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-add: 98.0ms (91.5% of total)

ival-true: 6.0ms (5.6% of total)

ival-assert: 3.0ms (2.8% of total)

Bogosity

explain58.0ms (2.7%)

Memory

-27.8MiB live, 57.9MiB 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

23.0ms

512×

valid

Compiler

Compiled 39 to 20 computations (48.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 12.0ms (98.2% of total)

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

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

preprocess22.0ms (1%)

Memory

6.6MiB live, 43.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	38	25
2	98	25
3	264	25
4	456	25
5	541	25
6	553	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

5.2MiB live, 5.2MiB 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

localize13.0ms (0.6%)

Memory

-9.5MiB live, 28.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 x y)
accuracy	0.01953125	(+.f64 (+.f64 x y) x)

Samples

10.0ms

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: 3.0ms (87.5% of total)

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

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

series2.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

2 → 13

Calls

Call 1

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

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

Calls

6 calls:

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

simplify166.0ms (7.7%)

Memory

14.6MiB live, 138.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	45
1	102	45
2	231	45
3	704	45
4	1809	45
5	3065	45
6	4174	45
7	4643	45
8	4933	45
9	5027	45
10	6884	45
0	8106	40

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 11

Calls

Call 1

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

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

rewrite175.0ms (8.1%)

Memory

-37.0MiB live, 258.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	32	8
2	279	8
3	4649	8
0	8133	7

Stop Event

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

Counts

2 → 194

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (+.f64 y x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (+.f64 y x) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 2 binary64) x y)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 #s(literal 2 binary64) x y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) y)))
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (neg.f64 x) y) (-.f64 (.f64 (neg.f64 x) y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 2 binary64) x y)) (*.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 2 binary64) x y))) (fma.f64 #s(literal 2 binary64) x y))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) (neg.f64 y)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 2 binary64) x y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 2 binary64) x y)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x y))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))) (pow.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 2 binary64) x y)) (pow.f64 (+.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) x y) (pow.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) (/.f64 (+.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 0 binary64) y)))
(.f64 (fma.f64 #s(literal 2 binary64) x y) (.f64 (+.f64 #s(literal 0 binary64) y) (pow.f64 (+.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))))
(pow.f64 (/.f64 (neg.f64 y) (*.f64 (fma.f64 #s(literal 2 binary64) x y) (neg.f64 y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (+.f64 y x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (+.f64 y x) x) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) y)) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (+.f64 #s(literal 0 binary64) y))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) y)) (.f64 x (/.f64 x (+.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) x) y))
(/.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (-.f64 y (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (+.f64 #s(literal 0 binary64) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 #s(literal 0 binary64) y))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) y)) (.f64 x (/.f64 x (+.f64 #s(literal 0 binary64) y)))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 (.f64 #s(literal 2 binary64) x) y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (.f64 y (.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (neg.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (+.f64 y x) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64))) (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) y)) (.f64 (+.f64 #s(literal 0 binary64) y) (*.f64 x x))) (pow.f64 (+.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 x x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 (.f64 x x) (fma.f64 x x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (neg.f64 y)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (fma.f64 #s(literal 2 binary64) x y) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (+.f64 y x) #s(literal 9 binary64))) (.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (+.f64 y x) x) #s(literal 3 binary64)))))
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(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal -3 binary64))) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal -3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x)))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y)))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(neg.f64 (neg.f64 (+.f64 y x)))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y x))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 y x)
(+.f64 x y)

eval22.0ms (1%)

Memory: 0.0MiB live, 37.2MiB allocated
Compiler: Compiled 4 167 to 572 computations (86.3% saved)

prune3.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	195	2	197
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	196	2	198

Accuracy

100.0%

Counts

198 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 #s(literal 2 binary64) x y)
▶	51.6%	#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify3.0ms (0.2%)

Memory

3.2MiB live, 3.2MiB 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))
(*.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

localize18.0ms (0.8%)

Memory

-10.2MiB live, 28.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 2 binary64) x y)
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	31.00672601338791	#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))

Samples

13.0ms

256×

valid

Compiler

Compiled 41 to 17 computations (58.5% saved)

Precisions

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

ival-add: 4.0ms (70.2% of total)

ival-mult: 2.0ms (35.1% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

3 → 7

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

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))

simplify165.0ms (7.6%)

Memory

14.2MiB live, 97.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	29
1	64	29
2	141	29
3	402	29
4	1125	29
5	2659	29
6	3586	29
7	4469	29
8	4947	29
9	5122	29
10	5212	29
11	5910	29
12	6226	29
13	6228	29
14	6228	29
15	6228	29
0	8285	24

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 6

Calls

Call 1

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

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

rewrite153.0ms (7.1%)

Memory

11.5MiB live, 161.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	16
0	10	16
1	48	16
2	404	15
3	6065	15
0	8069	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
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(+.f64 x x)
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y)) (-.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 y (fma.f64 #s(literal 2 binary64) x y))))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y (.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (-.f64 y (.f64 #s(literal 2 binary64) x)) y)))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 y (.f64 #s(literal 2 binary64) x)) y) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (-.f64 y (.f64 #s(literal 2 binary64) x)) y) (-.f64 (.f64 (-.f64 y (.f64 #s(literal 2 binary64) x)) y) (.f64 #s(literal 4 binary64) (.f64 x x))))))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 2 binary64) x y)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 #s(literal 2 binary64) x y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) y)))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (neg.f64 x) y) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (neg.f64 x) y) (-.f64 (.f64 (neg.f64 x) y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 2 binary64) x y)) (*.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 2 binary64) x y))) (fma.f64 #s(literal 2 binary64) x y))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (*.f64 (neg.f64 y) y))) (fma.f64 #s(literal 2 binary64) x y))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) (neg.f64 y)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(.f64 (fma.f64 y y (.f64 #s(literal -4 binary64) (.f64 x x))) (pow.f64 (-.f64 y (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y)))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 y (.f64 #s(literal 2 binary64) x)) y)) #s(literal -1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(.f64 (pow.f64 (+.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 2 binary64) x y)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x y))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y))) (pow.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 y (.f64 #s(literal 2 binary64) x)) y))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))) (pow.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (neg.f64 y) y)) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 2 binary64) x y)) (pow.f64 (+.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 y (.f64 #s(literal 2 binary64) x)) y)) (/.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 y (*.f64 #s(literal 2 binary64) x)) y))))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 y (.f64 #s(literal 2 binary64) x)) y)) (.f64 (fma.f64 #s(literal 2 binary64) x y) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 y (.f64 #s(literal 2 binary64) x)) y)) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 y (.f64 #s(literal 2 binary64) x)) y)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) x y) (pow.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) x y) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 (*.f64 #s(literal 2 binary64) x) y)))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) (/.f64 (+.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 0 binary64) y)))
(.f64 (fma.f64 #s(literal 2 binary64) x y) (.f64 (+.f64 #s(literal 0 binary64) y) (pow.f64 (+.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal 2 binary64) x y) (.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 y (.f64 #s(literal 2 binary64) x)) (fma.f64 y y (.f64 #s(literal -4 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 y) (*.f64 (fma.f64 #s(literal 2 binary64) x y) (neg.f64 y))) #s(literal -1 binary64))
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(fma.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)) x)
(fma.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(fma.f64 #s(literal 1 binary64) (+.f64 y x) x)
(fma.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)) x)
(fma.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x)
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y)))))
(fma.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (.f64 x x))) x)
(fma.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (.f64 (+.f64 y x) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) x)
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) x)
(fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (neg.f64 (.f64 y (/.f64 y (-.f64 (.f64 #s(literal 2 binary64) x) y)))))
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 0 binary64) y)))))
(fma.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (neg.f64 (.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (neg.f64 (.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y)))))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 0 binary64) y)))))
(fma.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 x y)) x)
(fma.f64 (+.f64 y x) (*.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) x)
(fma.f64 x (/.f64 (.f64 #s(literal 4 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (neg.f64 (.f64 y (/.f64 y (-.f64 (.f64 #s(literal 2 binary64) x) y)))))
(fma.f64 x #s(literal 2 binary64) y)
(-.f64 (+.f64 x (.f64 x (/.f64 x (-.f64 x y)))) (.f64 y (/.f64 y (-.f64 x y))))
(-.f64 (/.f64 (.f64 y y) (-.f64 y (.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 y (*.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (*.f64 x x) (neg.f64 y)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (neg.f64 y)))
(-.f64 (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) y))) (.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y))))
(-.f64 (.f64 x (/.f64 x (-.f64 x y))) (-.f64 (.f64 y (/.f64 y (-.f64 x y))) x))
(-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) y)) (*.f64 x (/.f64 x (+.f64 #s(literal 0 binary64) y))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) y))) (neg.f64 (.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y)))))
(+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 0 binary64) y)))))
(+.f64 (*.f64 #s(literal 2 binary64) x) y)
(+.f64 (+.f64 y x) x)
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(+.f64 x (+.f64 y x))

eval28.0ms (1.3%)

Memory: -13.3MiB live, 25.1MiB allocated
Compiler: Compiled 3 284 to 445 computations (86.4% saved)

prune3.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	151	2	153

Accuracy

100.0%

Counts

153 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 #s(literal 2 binary64) x y)
▶	51.6%	#s(approx (+ (+ x y) x) (+.f64 x x))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify3.0ms (0.2%)

Memory

1.8MiB live, 1.8MiB 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

localize27.0ms (1.3%)

Memory

-18.4MiB live, 20.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 x x)
accuracy	31.00672601338791	#s(approx (+ (+ x y) x) (+.f64 x x))

Samples

23.0ms

256×

valid

Compiler

Compiled 24 to 13 computations (45.8% saved)

Precisions

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

ival-add: 3.0ms (83.7% of total)

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

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

series1.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

2 → 7

Calls

Call 1

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

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

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))

simplify201.0ms (9.3%)

Memory

-0.4MiB live, 124.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	29
1	64	29
2	141	29
3	402	29
4	1125	29
5	2659	29
6	3586	29
7	4469	29
8	4947	29
9	5122	29
10	5212	29
11	5910	29
12	6226	29
13	6228	29
14	6228	29
15	6228	29
0	8285	24

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 6

Calls

Call 1

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

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

rewrite34.0ms (1.6%)

Memory

5.8MiB live, 44.4MiB 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
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(+.f64 x x)

eval1.0ms (0.1%)

Memory: 2.5MiB live, 2.5MiB allocated
Compiler: Compiled 177 to 45 computations (74.6% saved)

prune2.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	14	2	16

Accuracy

100.0%

Counts

16 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 #s(literal 2 binary64) x y)
✓	51.6%	#s(approx (+ (+ x y) x) (+.f64 x x))

Compiler

Compiled 40 to 22 computations (45% saved)

regimes6.0ms (0.3%)

Memory

12.4MiB live, 12.4MiB 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:

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)

regimes22.0ms (1%)

Memory

-15.0MiB live, 33.5MiB 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:

18.0ms	(+.f64 (+.f64 x y) x)
2.0ms	y
2.0ms	x

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 (0.3%)

Memory

-28.0MiB live, 9.7MiB 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:

3.0ms	x
1.0ms	(+.f64 (+.f64 x y) x)
1.0ms	y

Results

Accuracy	Segments	Branch
51.6%	1	`x`
51.6%	1	`y`
51.6%	1	`(+.f64 (+.f64 x y) x)`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

simplify8.0ms (0.4%)

Memory

23.9MiB live, 23.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	13	18
2	16	18
3	17	18
4	18	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)
#s(approx (+ (+ x y) x) (+.f64 x x))

soundness529.0ms (24.5%)

Memory

-20.3MiB live, 337.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	45
1	102	45
2	231	45
3	704	45
4	1809	45
5	3065	45
6	4174	45
7	4643	45
8	4933	45
9	5027	45
10	6884	45
0	8106	40
0	4	8
0	6	8
1	32	8
2	279	8
3	4649	8
0	8133	7
0	8	16
0	10	16
1	48	16
2	404	15
3	6065	15
0	8069	15

Stop Event

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

Compiler

Compiled 39 to 27 computations (30.8% saved)

preprocess25.0ms (1.2%)

Memory: 10.5MiB live, 48.9MiB allocated
Compiler: Compiled 56 to 38 computations (32.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	27
1	38	25
2	98	25
3	264	25
4	456	25
5	541	25
6	553	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	264	25
4	456	25
5	541	25
6	553	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%)

sample458.0ms (21.2%)

explain58.0ms (2.7%)

preprocess22.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize13.0ms (0.6%)

series2.0ms (0.1%)

simplify166.0ms (7.7%)

rewrite175.0ms (8.1%)

eval22.0ms (1%)

prune3.0ms (0.1%)

simplify3.0ms (0.2%)

localize18.0ms (0.8%)

series2.0ms (0.1%)

simplify165.0ms (7.6%)

rewrite153.0ms (7.1%)

eval28.0ms (1.3%)

prune3.0ms (0.1%)

simplify3.0ms (0.2%)

localize27.0ms (1.3%)

series1.0ms (0.1%)

simplify201.0ms (9.3%)

rewrite34.0ms (1.6%)

eval1.0ms (0.1%)

prune2.0ms (0.1%)

regimes6.0ms (0.3%)

regimes22.0ms (1%)

regimes6.0ms (0.3%)

simplify8.0ms (0.4%)

soundness529.0ms (24.5%)

preprocess25.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	27
1	38	25
2	98	25
3	264	25
4	456	25
5	541	25
6	553	25
0	4	5
0	6	5
1	9	5
2	12	5
3	14	5
4	15	5
0	15	4