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

0.6MiB live, 0.6MiB 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)

sample837.0ms (27.9%)

Memory

-0.3MiB live, 768.7MiB allocated

Samples

581.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-add: 150.0ms (94.2% of total)

ival-true: 6.0ms (3.8% of total)

ival-assert: 4.0ms (2.5% of total)

Bogosity

explain142.0ms (4.7%)

Memory

-22.4MiB live, 76.7MiB 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

16.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

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

ival-add: 5.0ms (90.8% of total)

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

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

preprocess46.0ms (1.5%)

Memory

-23.6MiB live, 23.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	26	31
2	44	29
3	54	27
4	77	27
5	104	27
6	111	27
7	113	27
0	4	5
0	6	5
1	9	5
2	12	5
3	14	5
4	21	5
5	28	5
6	35	5
7	46	5
8	48	5
0	48	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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

simplify4.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x y)
cost-diff	1	(+.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	21	10
5	28	10
6	35	10
7	46	10
8	48	10
0	48	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

localize11.0ms (0.4%)

Memory

21.5MiB live, 21.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 x y)
accuracy	0.0234375	(+.f64 (+.f64 x y) x)

Samples

8.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-add: 2.0ms (75.4% of total)

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

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

series2.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB 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))

simplify138.0ms (4.6%)

Memory

-39.2MiB live, 66.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	45
1	102	45
2	229	45
3	611	45
4	1706	45
5	3480	45
6	6154	45
7	7467	45
0	8590	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)

rewrite234.0ms (7.8%)

Memory

39.4MiB live, 168.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	32	8
2	267	8
3	4332	8
0	9177	7

Stop Event

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

Counts

2 → 140

Calls

Call 1

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

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

eval55.0ms (1.8%)

Memory: -41.7MiB live, 20.3MiB allocated
Compiler: Compiled 3 756 to 490 computations (87% saved)

prune2.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	2	144

Accuracy

100.0%

Counts

144 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 #s(literal 2 binary64) x y)
▶	50.3%	#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify4.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB 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: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	10	21
1	18	20
2	27	20
3	34	20
4	44	20
5	46	20
0	46	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

localize17.0ms (0.6%)

Memory

14.4MiB live, 14.4MiB 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	31.819999204064313	#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))

Samples

12.0ms

256×

valid

Compiler

Compiled 20 to 9 computations (55% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 4.0ms (73.7% of total)

ival-mult: 2.0ms (36.9% 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

1.9MiB live, 1.9MiB 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))

simplify111.0ms (3.7%)

Memory

4.7MiB live, 92.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	29
1	66	29
2	154	29
3	407	29
4	1104	29
5	2412	29
6	4830	29
7	6519	29
0	8486	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)

rewrite259.0ms (8.6%)

Memory

12.2MiB live, 198.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	16
0	10	16
1	51	15
2	406	15
3	6659	15
0	8120	15

Stop Event

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

Counts

3 → 407

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 (.f64 #s(literal 4 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 4 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal 8 binary64) (*.f64 x x)) x)
(.f64 (.f64 #s(literal 8 binary64) x) (*.f64 x x))
(*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 9 binary64)))
(*.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal -2 binary64) x)
(.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) x))
(.f64 #s(literal 4 binary64) (.f64 x x))
(*.f64 #s(literal 4 binary64) x)
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64))
(.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) x))
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 512 binary64))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 4 binary64)))
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 4 binary64)))
(*.f64 (fabs.f64 x) #s(literal 2 binary64))
(.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))
(.f64 (.f64 #s(literal -2 binary64) x) #s(literal 8 binary64))
(.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))
(.f64 (.f64 #s(literal -2 binary64) x) (*.f64 x x))
(.f64 (.f64 #s(literal -2 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -2 binary64) x) x)
(.f64 (.f64 x x) (*.f64 x #s(literal 8 binary64)))
(.f64 (.f64 x x) #s(literal 4 binary64))
(.f64 (.f64 x x) (*.f64 #s(literal -2 binary64) x))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal 2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) (fabs.f64 x))
(.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 x x))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) x)
(.f64 x (.f64 (*.f64 x x) #s(literal 8 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 4 binary64))
(.f64 x (.f64 #s(literal -2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 9 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3/2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) x)) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (.f64 #s(literal -2 binary64) x) (.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) x) (fabs.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 #s(literal 4 binary64) (neg.f64 x)) (neg.f64 x) (.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 #s(literal 4 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (*.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 #s(literal 8 binary64) x) (.f64 x x) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 9 binary64)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (*.f64 (neg.f64 x) x) (neg.f64 x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 4 binary64) x (*.f64 #s(literal -2 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))
(fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 512 binary64) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) x))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (neg.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) x))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x x))
(fma.f64 (fabs.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4 binary64) (.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 #s(literal -2 binary64) x) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 #s(literal -2 binary64) x) (.f64 x x) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 #s(literal -2 binary64) x) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 #s(literal -2 binary64) x) x (.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x))
(fma.f64 (*.f64 x x) x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2 binary64) (fabs.f64 x) (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -2 binary64) x))
(fma.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 x #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x))
(fma.f64 x #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) x))
(fma.f64 x (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))
(fma.f64 x (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))
(fma.f64 x x (*.f64 x x))
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
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(fma.f64 (.f64 #s(literal -2 binary64) x) (/.f64 (.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (.f64 #s(literal -2 binary64) x) y)))
(fma.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 8 binary64) y)
(fma.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x) y)
(fma.f64 (.f64 #s(literal -2 binary64) x) (.f64 x x) y)
(fma.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 x #s(literal 3 binary64)) y)
(fma.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64) y)
(fma.f64 (*.f64 #s(literal -2 binary64) x) 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 (.f64 y y) (/.f64 y (fma.f64 #s(literal -2 binary64) x (.f64 (fma.f64 #s(literal -2 binary64) x y) y))) (/.f64 (.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x (.f64 (fma.f64 #s(literal -2 binary64) x y) y))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal -2 binary64) x) y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (.f64 #s(literal -2 binary64) x) y)))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 y x) y (.f64 x x))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) x))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) y) x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) y) x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 8 binary64)) y)
(fma.f64 (*.f64 x x) #s(literal 4 binary64) y)
(fma.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x) y)
(fma.f64 (*.f64 x x) #s(literal 2 binary64) y)
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 #s(literal 0 binary64) y) x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) y) x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal -2 binary64) x (.f64 (fma.f64 #s(literal -2 binary64) x y) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) x (.f64 (fma.f64 #s(literal -2 binary64) x y) y))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) y)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x) y)
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 #s(literal -2 binary64) x) y)))
(fma.f64 #s(literal 2 binary64) (neg.f64 x) y)
(fma.f64 #s(literal 2 binary64) (fabs.f64 x) y)
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x) y)
(fma.f64 #s(literal 2 binary64) (*.f64 x x) y)
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)) y)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) y)))
(fma.f64 (+.f64 y x) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) y) x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) y) x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 x y)) x)
(fma.f64 y (/.f64 (.f64 y y) (fma.f64 #s(literal -2 binary64) x (.f64 (fma.f64 #s(literal -2 binary64) x y) y))) (/.f64 (.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x (.f64 (fma.f64 #s(literal -2 binary64) x y) y))))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (-.f64 y x) y (.f64 x x))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) x))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 0 binary64) y) x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) y) x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)) y)
(fma.f64 x #s(literal -2 binary64) y)
(fma.f64 x #s(literal 4 binary64) y)
(fma.f64 x (/.f64 (.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 #s(literal -2 binary64) x) y)))
(fma.f64 x (*.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 x x) (-.f64 #s(literal 0 binary64) y)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 (.f64 y y) (fma.f64 #s(literal -2 binary64) x y)) (/.f64 (.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x y)))
(-.f64 (-.f64 y x) x)
(-.f64 (/.f64 (.f64 #s(literal -2 binary64) x) (fma.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))))
(-.f64 y (*.f64 #s(literal -2 binary64) x))
(+.f64 (+.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) x (.f64 (fma.f64 #s(literal -2 binary64) x y) y))) (/.f64 (.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x (*.f64 (fma.f64 #s(literal -2 binary64) x y) y))))
(+.f64 (/.f64 (.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x (.f64 (fma.f64 #s(literal -2 binary64) x y) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) x (*.f64 (fma.f64 #s(literal -2 binary64) x y) y))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) y) x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) y) x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) y) x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) y) x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x y)) (/.f64 (.f64 (neg.f64 y) 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)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) y)))
(+.f64 (neg.f64 x) (neg.f64 (-.f64 x y)))
(+.f64 (*.f64 #s(literal -2 binary64) x) y)
(+.f64 (+.f64 y x) x)
(+.f64 y (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 y (*.f64 #s(literal -2 binary64) x))
(+.f64 x (+.f64 y x))

eval102.0ms (3.4%)

Memory: -11.7MiB live, 88.6MiB allocated
Compiler: Compiled 6 982 to 961 computations (86.2% saved)

prune6.0ms (0.2%)

Memory

20.1MiB live, 20.1MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	406	3	409
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	407	4	411

Accuracy

100.0%

Counts

411 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 #s(literal 2 binary64) x y)
▶	50.3%	#s(approx (+ (+ x y) x) (+.f64 x x))
▶	11.1%	#s(approx (+ (+ x y) x) (*.f64 x #s(literal 4 binary64)))
▶	2.3%	#s(approx (+ (+ x y) x) (*.f64 x #s(literal -2 binary64)))

Compiler

Compiled 31 to 24 computations (22.6% saved)

simplify25.0ms (0.8%)

Memory

-41.5MiB live, 4.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x x)
cost-diff	0	#s(approx (+ (+ x y) x) (+.f64 x x))
cost-diff	0	(*.f64 x #s(literal 4 binary64))
cost-diff	0	#s(approx (+ (+ x y) x) (*.f64 x #s(literal 4 binary64)))
cost-diff	0	(*.f64 x #s(literal -2 binary64))
cost-diff	0	#s(approx (+ (+ x y) x) (*.f64 x #s(literal -2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
0	15	41
1	22	41
2	27	41
3	34	41
4	42	41
5	52	41
6	58	41
7	63	41
8	66	41
0	66	38

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ x y) x) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(approx (+ (+ x y) x) (*.f64 x #s(literal 4 binary64)))
(*.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(approx (+ (+ x y) x) (+.f64 x x))
(+.f64 x x)
x

Outputs
#s(approx (+ (+ x y) x) (*.f64 x #s(literal -2 binary64)))
#s(approx (+ (+ x y) x) (*.f64 #s(literal -2 binary64) x))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
x
#s(literal -2 binary64)
#s(approx (+ (+ x y) x) (*.f64 x #s(literal 4 binary64)))
#s(approx (+ (+ x y) x) (*.f64 #s(literal 4 binary64) x))
(*.f64 x #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) x)
x
#s(literal 4 binary64)
#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

localize20.0ms (0.7%)

Memory

35.6MiB live, 35.6MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x x)
accuracy	31.819999204064313	#s(approx (+ (+ x y) x) (+.f64 x x))
accuracy	0.0	(*.f64 x #s(literal 4 binary64))
accuracy	56.887367958991476	#s(approx (+ (+ x y) x) (*.f64 x #s(literal 4 binary64)))
accuracy	0.0	(*.f64 x #s(literal -2 binary64))
accuracy	62.50731520257204	#s(approx (+ (+ x y) x) (*.f64 x #s(literal -2 binary64)))

Samples

14.0ms

256×

valid

Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions

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

ival-add: 3.0ms (44.3% of total)

ival-mult: 3.0ms (44.3% 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

4.7MiB live, 4.7MiB allocated

Counts

6 → 9

Calls

Call 1

Inputs
#s(approx (+ (+ x y) x) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(approx (+ (+ x y) x) (*.f64 x #s(literal 4 binary64)))
(*.f64 x #s(literal 4 binary64))
#s(approx (+ (+ x y) x) (+.f64 x x))
(+.f64 x x)

Outputs
y
(+ y (* 2 x))
(* -2 x)
(* 4 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) (* x -2) (+ (+ x y) x) (* x 4) (+ (+ x y) x) (+ x x))
1.0ms	x	@	-inf	((+ (+ x y) x) (* x -2) (+ (+ x y) x) (* x 4) (+ (+ x y) x) (+ x x))
1.0ms	x	@	0	((+ (+ x y) x) (* x -2) (+ (+ x y) x) (* x 4) (+ (+ x y) x) (+ x x))
0.0ms	y	@	-inf	((+ (+ x y) x) (* x -2) (+ (+ x y) x) (* x 4) (+ (+ x y) x) (+ x x))
0.0ms	y	@	inf	((+ (+ x y) x) (* x -2) (+ (+ x y) x) (* x 4) (+ (+ x y) x) (+ x x))

simplify111.0ms (3.7%)

Memory

-9.7MiB live, 82.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	35
1	70	35
2	160	35
3	422	35
4	1171	35
5	2585	35
6	4809	35
7	6206	35
0	8084	30

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 8

Calls

Call 1

Inputs
y
(+ y (* 2 x))
(* -2 x)
(* 4 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)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 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)

rewrite127.0ms (4.2%)

Memory

-31.0MiB live, 35.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
0	15	36
1	51	36
0	338	33

Stop Event

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

Counts

6 → 15

Calls

Call 1

Inputs
#s(approx (+ (+ x y) x) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(approx (+ (+ x y) x) (*.f64 x #s(literal 4 binary64)))
(*.f64 x #s(literal 4 binary64))
#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 x #s(literal -2 binary64))
#s(approx (+ (+ x y) x) (*.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal 4 binary64) x)
(*.f64 x #s(literal 4 binary64))
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.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 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 x x)

eval2.0ms (0.1%)

Memory: 2.4MiB live, 2.4MiB allocated
Compiler: Compiled 222 to 54 computations (75.7% saved)

prune3.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	19	4	23

Accuracy

100.0%

Counts

23 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 #s(literal 2 binary64) x y)
✓	50.3%	#s(approx (+ (+ x y) x) (+.f64 x x))
✓	11.1%	#s(approx (+ (+ x y) x) (*.f64 x #s(literal 4 binary64)))
✓	2.3%	#s(approx (+ (+ x y) x) (*.f64 x #s(literal -2 binary64)))

Compiler

Compiled 76 to 42 computations (44.7% saved)

regimes8.0ms (0.3%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ x y) x) (+.f64 x x))
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ x y) x) (*.f64 x #s(literal -2 binary64)))
#s(approx (+ (+ x y) x) (*.f64 x #s(literal 4 binary64)))
(+.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:

3.0ms	(+.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)

regimes7.0ms (0.2%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ x y) x) (+.f64 x x))
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ x y) x) (*.f64 x #s(literal -2 binary64)))
#s(approx (+ (+ x y) x) (*.f64 x #s(literal 4 binary64)))
(+.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

8.9MiB live, 8.9MiB allocated

Accuracy

Total -31.1b remaining (-97.9%)

Threshold costs -31.1b (-97.9%)

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))
#s(approx (+ (+ x y) x) (*.f64 x #s(literal -2 binary64)))
#s(approx (+ (+ x y) x) (*.f64 x #s(literal 4 binary64)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.3%	1	`x`
50.3%	1	`y`
50.3%	1	`(+.f64 (+.f64 x y) x)`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

simplify95.0ms (3.2%)

Memory

-22.4MiB live, 29.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	15	18
2	20	18
3	24	18
4	35	18
5	65	18
6	235	18
7	1805	18
8	3461	18

Stop Event

1×	node limit

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))

soundness598.0ms (19.9%)

Memory

-11.8MiB live, 262.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
0	10	16
1	51	15
2	406	15
3	6659	15
0	8120	15
0	35	45
1	102	45
2	229	45
3	611	45
4	1706	45
5	3480	45
6	6154	45
7	7467	45
0	8590	40
0	4	8
0	6	8
1	32	8
2	267	8
3	4332	8
0	9177	7

Stop Event

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

Compiler

Compiled 39 to 27 computations (30.8% saved)

preprocess25.0ms (0.8%)

Memory: 45.2MiB live, 45.2MiB 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	31
1	26	31
2	44	29
3	54	27
4	77	27
5	104	27
6	111	27
7	113	27
0	4	5
0	6	5
1	9	5
2	12	5
3	14	5
4	21	5
5	28	5
6	35	5
7	46	5
8	48	5
0	48	4

Iter	Nodes	Cost
0	12	31
1	26	31
2	44	29
3	54	27
4	77	27
5	104	27
6	111	27
7	113	27
0	4	5
0	6	5
1	9	5
2	12	5
3	14	5
4	21	5
5	28	5
6	35	5
7	46	5
8	48	5
0	48	4

start0.0ms (0%)

analyze0.0ms (0%)

sample837.0ms (27.9%)

explain142.0ms (4.7%)

preprocess46.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize11.0ms (0.4%)

series2.0ms (0.1%)

simplify138.0ms (4.6%)

rewrite234.0ms (7.8%)

eval55.0ms (1.8%)

prune2.0ms (0.1%)

simplify4.0ms (0.1%)

localize17.0ms (0.6%)

series2.0ms (0.1%)

simplify111.0ms (3.7%)

rewrite259.0ms (8.6%)

eval102.0ms (3.4%)

prune6.0ms (0.2%)

simplify25.0ms (0.8%)

localize20.0ms (0.7%)

series3.0ms (0.1%)

simplify111.0ms (3.7%)

rewrite127.0ms (4.2%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

regimes8.0ms (0.3%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

simplify95.0ms (3.2%)

soundness598.0ms (19.9%)

preprocess25.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	31
1	26	31
2	44	29
3	54	27
4	77	27
5	104	27
6	111	27
7	113	27
0	4	5
0	6	5
1	9	5
2	12	5
3	14	5
4	21	5
5	28	5
6	35	5
7	46	5
8	48	5
0	48	4