Metrics for Data.Histogram.Bin.LogBinD:$cbinSizeN from histogram-fill-0.8.4.1

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

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)

sample678.0ms (30.2%)

Memory

14.1MiB live, 916.3MiB allocated; 251ms collecting garbage

Samples

451.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 211.0ms

ival-mult: 160.0ms (75.8% of total)

ival-sub: 40.0ms (19% of total)

ival-true: 6.0ms (2.8% of total)

ival-assert: 3.0ms (1.4% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

explain70.0ms (3.1%)

Memory

3.1MiB live, 95.5MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

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

39.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 24.0ms (87% of total)

ival-sub: 3.0ms (10.9% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess16.0ms (0.7%)

Memory

-19.4MiB live, 26.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	18	33
0	4	5
0	6	5
1	7	5
0	7	5

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)
(-.f64 (*.f64 y x) x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

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

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

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	7	10
0	7	10

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)
(-.f64 (*.f64 y x) x)
(*.f64 x y)
(*.f64 y x)
x
y

localize16.0ms (0.7%)

Memory

-23.4MiB live, 31.0MiB allocated; 3ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x y)
accuracy	0.00390625	(-.f64 (*.f64 x y) x)

Samples

13.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-mult: 2.0ms (57.8% of total)

ival-sub: 1.0ms (28.9% of total)

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

adjust: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Counts

2 → 7

Calls

Call 1

Inputs
(-.f64 (*.f64 x y) x)
(*.f64 x y)

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

Calls

6 calls:

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

simplify208.0ms (9.2%)

Memory

25.8MiB live, 246.9MiB allocated; 114ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	30
1	65	30
2	185	30
3	497	30
4	1895	30
5	5546	30
0	8508	30

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 7

Calls

Call 1

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

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

rewrite122.0ms (5.4%)

Memory

24.3MiB live, 169.8MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	20	8
2	136	8
0	1436	8

Stop Event

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

Counts

2 → 54

Calls

Call 1

Inputs
(-.f64 (*.f64 x y) x)
(*.f64 x y)

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

eval8.0ms (0.4%)

Memory: -31.5MiB live, 16.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 577 to 203 computations (87.1% saved)

prune2.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Accuracy

100.0%

Counts

58 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x y) x)
▶	100.0%	#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
▶	49.7%	#s(approx (- (* x y) x) (neg.f64 x))

Compiler

Compiled 24 to 18 computations (25% saved)

simplify148.0ms (6.6%)

Memory

-11.0MiB live, 177.6MiB allocated; 14ms collecting garbage

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 y #s(literal 1 binary64))
cost-diff	0	(*.f64 (-.f64 y #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- (* x y) x) (neg.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
0	13	33
1	17	33
2	20	33
3	29	33
4	59	33
5	224	33
6	1772	33
7	4967	33
0	8126	33

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (* x y) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
x

Outputs
#s(approx (- (* x y) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
x

localize21.0ms (0.9%)

Memory

37.3MiB live, 37.3MiB allocated; 0ms collecting garbage

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y #s(literal 1 binary64))
accuracy	0.0	#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
accuracy	0.0078125	(*.f64 (-.f64 y #s(literal 1 binary64)) x)
accuracy	0.0	(neg.f64 x)
accuracy	32.19249514145754	#s(approx (- (* x y) x) (neg.f64 x))

Samples

15.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-mult: 4.0ms (50.7% of total)

ival-sub: 2.0ms (25.4% of total)

ival-neg: 1.0ms (12.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series6.0ms (0.3%)

Memory

-37.9MiB live, 8.7MiB allocated; 3ms collecting garbage

Counts

5 → 13

Calls

Call 1

Inputs
#s(approx (- (* x y) x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(-.f64 y #s(literal 1 binary64))

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((- (* x y) x) (neg x) (- (* x y) x) (* (- y 1) x) (- y 1))
1.0ms	x	@	-inf	((- (* x y) x) (neg x) (- (* x y) x) (* (- y 1) x) (- y 1))
1.0ms	x	@	inf	((- (* x y) x) (neg x) (- (* x y) x) (* (- y 1) x) (- y 1))
1.0ms	x	@	0	((- (* x y) x) (neg x) (- (* x y) x) (* (- y 1) x) (- y 1))
0.0ms	y	@	inf	((- (* x y) x) (neg x) (- (* x y) x) (* (- y 1) x) (- y 1))

simplify142.0ms (6.3%)

Memory

16.2MiB live, 151.9MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	46
1	81	46
2	219	46
3	573	46
4	2235	46
5	5620	46
0	8066	46

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 12

Calls

Call 1

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

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

rewrite44.0ms (2%)

Memory

5.6MiB live, 49.6MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
0	13	29
1	43	29
0	283	29

Stop Event

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

Counts

5 → 17

Calls

Call 1

Inputs
#s(approx (- (* x y) x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(-.f64 y #s(literal 1 binary64))

Outputs
#s(approx (- (* x y) x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (-.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))
(-.f64 y #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))

eval2.0ms (0.1%)

Memory: 4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 332 to 77 computations (76.8% saved)

prune2.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	21	4	25

Accuracy

100.0%

Counts

25 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x y) x)
✓	100.0%	#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
▶	52.1%	#s(approx (- (* x y) x) (*.f64 y x))
✓	49.7%	#s(approx (- (* x y) x) (neg.f64 x))

Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify5.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
0	7	14
1	8	14
0	8	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (* x y) x) (*.f64 y x))
(*.f64 y x)
y
x

Outputs
#s(approx (- (* x y) x) (*.f64 y x))
(*.f64 y x)
y
x

localize23.0ms (1%)

Memory

-11.5MiB live, 31.9MiB allocated; 15ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 y x)
accuracy	30.66276954654227	#s(approx (- (* x y) x) (*.f64 y x))

Samples

19.0ms

256×

valid

Compiler

Compiled 12 to 7 computations (41.7% saved)

Precisions

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

ival-mult: 11.0ms (89.1% of total)

ival-sub: 1.0ms (8.1% of total)

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

adjust: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Counts

2 → 7

Calls

Call 1

Inputs
#s(approx (- (* x y) x) (*.f64 y x))
(*.f64 y x)

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

Calls

6 calls:

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

simplify219.0ms (9.7%)

Memory

-2.7MiB live, 145.4MiB allocated; 93ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	30
1	65	30
2	185	30
3	497	30
4	1897	30
5	5545	30
0	8507	30

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 7

Calls

Call 1

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

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

rewrite78.0ms (3.5%)

Memory

-8.9MiB live, 91.2MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
0	7	12
1	21	12
2	136	12
0	1435	12

Stop Event

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

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (- (* x y) x) (*.f64 y x))
(*.f64 y x)

Outputs
#s(approx (- (* x y) x) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)

eval1.0ms (0%)

Memory: 1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 59 to 17 computations (71.2% saved)

prune2.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	6	0	6
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	6	4	10

Accuracy

100.0%

Counts

10 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x y) x)
✓	100.0%	#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓	52.1%	#s(approx (- (* x y) x) (*.f64 y x))
✓	49.7%	#s(approx (- (* x y) x) (neg.f64 x))

Compiler

Compiled 66 to 38 computations (42.4% saved)

regimes6.0ms (0.3%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (* x y) x) (neg.f64 x))
#s(approx (- (* x y) x) (*.f64 y x))
#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(-.f64 (*.f64 x y) x)

Outputs
(-.f64 (*.f64 x y) x)

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	(-.f64 (*.f64 x y) x)

Results

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

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes5.0ms (0.2%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (- (* x y) x) (neg.f64 x))
#s(approx (- (* x y) x) (*.f64 y x))
#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))

Outputs
#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))

Calls

3 calls:

2.0ms	x
2.0ms	(-.f64 (*.f64 x y) x)
2.0ms	y

Results

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

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes67.0ms (3%)

Memory

-36.1MiB live, 9.7MiB allocated; 5ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (- (* x y) x) (neg.f64 x))
#s(approx (- (* x y) x) (*.f64 y x))

Outputs
#s(approx (- (* x y) x) (*.f64 y x))
#s(approx (- (* x y) x) (neg.f64 x))
#s(approx (- (* x y) x) (*.f64 y x))

Calls

3 calls:

64.0ms	y
2.0ms	x
1.0ms	(-.f64 (*.f64 x y) x)

Results

Accuracy	Segments	Branch
71.5%	5	`(-.f64 (*.f64 x y) x)`
59.2%	5	`x`
97.7%	3	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* x y) x) (neg.f64 x))

Outputs
#s(approx (- (* x y) x) (neg.f64 x))

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	(-.f64 (*.f64 x y) x)

Results

Accuracy	Segments	Branch
49.7%	1	`x`
49.7%	1	`(-.f64 (*.f64 x y) x)`
49.7%	1	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch22.0ms (1%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.0028913458023407264	97.2106908764996
11.0ms	-48152327393634.41	-0.0006253829688313954

Samples

10.0ms

288×

valid

Compiler

Compiled 314 to 261 computations (16.9% saved)

Precisions

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

ival-mult: 2.0ms (48.4% of total)

ival-sub: 1.0ms (24.2% of total)

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

adjust: 0.0ms (0% of total)

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

simplify115.0ms (5.1%)

Memory

-7.8MiB live, 83.8MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	50
1	31	50
2	38	50
3	52	50
4	87	50
5	321	50
6	2952	50
7	6707	50

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (*.f64 x y) x)
#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (* x y) x) (.f64 y x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- ( x y) x) (neg.f64 x)) #s(approx (- (* x y) x) (*.f64 y x))))
#s(approx (- (* x y) x) (neg.f64 x))

Outputs
(-.f64 (*.f64 x y) x)
#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (* x y) x) (.f64 y x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- ( x y) x) (neg.f64 x)) #s(approx (- (* x y) x) (*.f64 y x))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (- (* x y) x) (.f64 y x)) #s(approx (- ( x y) x) (neg.f64 x)))
#s(approx (- (* x y) x) (neg.f64 x))

derivations178.0ms (7.9%)

Memory

-20.8MiB live, 124.9MiB allocated; 13ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 50 to 20 computations (60% saved)

preprocess28.0ms (1.2%)

Memory: 32.1MiB live, 75.2MiB allocated; 6ms collecting garbage
Compiler: Compiled 110 to 48 computations (56.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample678.0ms (30.2%)

explain70.0ms (3.1%)

preprocess16.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize16.0ms (0.7%)

series3.0ms (0.1%)

simplify208.0ms (9.2%)

rewrite122.0ms (5.4%)

eval8.0ms (0.4%)

prune2.0ms (0.1%)

simplify148.0ms (6.6%)

localize21.0ms (0.9%)

series6.0ms (0.3%)

simplify142.0ms (6.3%)

rewrite44.0ms (2%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

simplify5.0ms (0.2%)

localize23.0ms (1%)

series2.0ms (0.1%)

simplify219.0ms (9.7%)

rewrite78.0ms (3.5%)

eval1.0ms (0%)

prune2.0ms (0.1%)

regimes6.0ms (0.3%)

regimes5.0ms (0.2%)

regimes67.0ms (3%)

regimes3.0ms (0.1%)

bsearch22.0ms (1%)

simplify115.0ms (5.1%)

derivations178.0ms (7.9%)

preprocess28.0ms (1.2%)

end0.0ms (0%)

Profiling