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

0.4MiB live, 0.4MiB 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)

sample703.0ms (41.4%)

Memory

-28.5MiB live, 876.3MiB allocated; 210ms collecting garbage

Samples

403.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-mult: 125.0ms (71.5% of total)

ival-sub: 40.0ms (22.9% of total)

ival-true: 6.0ms (3.4% of total)

ival-assert: 3.0ms (1.7% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

explain50.0ms (3%)

Memory

40.6MiB live, 128.5MiB allocated; 9ms 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

20.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

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

ival-mult: 4.0ms (59.3% of total)

ival-sub: 2.0ms (29.7% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess23.0ms (1.3%)

Memory

11.8MiB live, 54.1MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	19	38
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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

series4.0ms (0.2%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Counts

4 → 10

Calls

Call 1

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

Outputs
#s(approx (- (* x y) x) #s(hole binary64 (* x (- y 1))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* x y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 y))))))
#s(approx (- (* x y) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* x y) x) #s(hole binary64 (- (* x y) x)))
#s(approx y #s(hole binary64 y))
#s(approx (- (* x y) x) #s(hole binary64 (* x y)))
#s(approx (- (* x y) x) #s(hole binary64 (* y (+ x (* -1 (/ x y))))))
#s(approx (- (* x y) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (/ x y))))))

Calls

6 calls:

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

simplify228.0ms (13.4%)

Memory

-30.5MiB live, 252.2MiB allocated; 107ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	85
1	75	85
2	194	85
3	510	85
4	1912	85
5	5560	85
0	8522	85

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

Inputs
#s(approx (- (* x y) x) #s(hole binary64 (* x (- y 1))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* x y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 y))))))
#s(approx (- (* x y) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* x y) x) #s(hole binary64 (- (* x y) x)))
#s(approx y #s(hole binary64 y))
#s(approx (- (* x y) x) #s(hole binary64 (* x y)))
#s(approx (- (* x y) x) #s(hole binary64 (* y (+ x (* -1 (/ x y))))))
#s(approx (- (* x y) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (/ x y))))))

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

rewrite107.0ms (6.3%)

Memory

14.0MiB live, 157.2MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	20	10
2	136	10
0	1436	10

Stop Event

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

Counts

4 → 56

Calls

Call 1

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

eval7.0ms (0.4%)

Memory: 20.7MiB live, 20.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 622 to 211 computations (87% saved)

prune4.0ms (0.2%)

Memory

-41.9MiB live, 7.7MiB allocated; 2ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	4	65

Accuracy

100.0%

Counts

65 → 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))
▶	49.5%	#s(approx (- (* x y) x) (neg.f64 x))

Compiler

Compiled 33 to 24 computations (27.3% saved)

series6.0ms (0.3%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Counts

10 → 22

Calls

Call 1

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

Outputs
#s(approx (- (* x y) x) #s(hole binary64 (* x (- y 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (* (- y 1) x) #s(hole binary64 (* x (- y 1))))
#s(approx (- (* x y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 y))))))
#s(approx (- (* x y) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* x y) x) #s(hole binary64 (- (* x y) x)))
#s(approx y #s(hole binary64 y))
#s(approx (* (- y 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- y 1) x) #s(hole binary64 (+ (* -1 x) (* x y))))
#s(approx (- y 1) #s(hole binary64 -1))
#s(approx (- y 1) #s(hole binary64 (- y 1)))
#s(approx (- (* x y) x) #s(hole binary64 (* x y)))
#s(approx (- (* x y) x) #s(hole binary64 (* y (+ x (* -1 (/ x y))))))
#s(approx (* (- y 1) x) #s(hole binary64 (* x y)))
#s(approx (* (- y 1) x) #s(hole binary64 (* y (+ x (* -1 (/ x y))))))
#s(approx (- y 1) #s(hole binary64 y))
#s(approx (- y 1) #s(hole binary64 (* y (- 1 (/ 1 y)))))
#s(approx (- (* x y) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (/ x y))))))
#s(approx (* (- y 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (/ x y))))))
#s(approx (- y 1) #s(hole binary64 (* -1 (* y (- (/ 1 y) 1)))))

Calls

6 calls:

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

simplify163.0ms (9.6%)

Memory

-0.9MiB live, 181.9MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	182
1	107	182
2	247	182
3	603	182
4	2272	182
5	5662	182
0	8011	182

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

Inputs
#s(approx (- (* x y) x) #s(hole binary64 (* x (- y 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (* (- y 1) x) #s(hole binary64 (* x (- y 1))))
#s(approx (- (* x y) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 y))))))
#s(approx (- (* x y) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* x y) x) #s(hole binary64 (- (* x y) x)))
#s(approx y #s(hole binary64 y))
#s(approx (* (- y 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- y 1) x) #s(hole binary64 (+ (* -1 x) (* x y))))
#s(approx (- y 1) #s(hole binary64 -1))
#s(approx (- y 1) #s(hole binary64 (- y 1)))
#s(approx (- (* x y) x) #s(hole binary64 (* x y)))
#s(approx (- (* x y) x) #s(hole binary64 (* y (+ x (* -1 (/ x y))))))
#s(approx (* (- y 1) x) #s(hole binary64 (* x y)))
#s(approx (* (- y 1) x) #s(hole binary64 (* y (+ x (* -1 (/ x y))))))
#s(approx (- y 1) #s(hole binary64 y))
#s(approx (- y 1) #s(hole binary64 (* y (- 1 (/ 1 y)))))
#s(approx (- (* x y) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (/ x y))))))
#s(approx (* (- y 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (/ x y))))))
#s(approx (- y 1) #s(hole binary64 (* -1 (* y (- (/ 1 y) 1)))))

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

rewrite44.0ms (2.6%)

Memory

24.7MiB live, 68.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
0	16	44
1	46	44
0	286	44

Stop Event

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

Counts

10 → 23

Calls

Call 1

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

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

eval3.0ms (0.2%)

Memory: 10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 504 to 99 computations (80.4% saved)

prune6.0ms (0.3%)

Memory

-32.9MiB live, 14.0MiB allocated; 2ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	39	4	43

Accuracy

100.0%

Counts

43 → 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))
✓	49.5%	#s(approx (- (* x y) x) (neg.f64 x))

Compiler

Compiled 66 to 38 computations (42.4% saved)

regimes6.0ms (0.4%)

Memory

15.8MiB live, 15.8MiB 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
#s(approx (- (* x y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) 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)

regimes4.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
69.0%	3	`(-.f64 (*.f64 x y) x)`
58.6%	3	`x`
97.2%	3	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes3.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB 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
49.5%	1	`x`
49.5%	1	`(-.f64 (*.f64 x y) x)`
49.5%	1	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch97.0ms (5.7%)

Memory

-25.1MiB live, 30.3MiB allocated; 55ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.30186931235572484	4104285.5632072533
85.0ms	-18.348798341922777	-0.13957922443561804

Samples

11.0ms

256×

valid

Compiler

Compiled 280 to 233 computations (16.8% saved)

Precisions

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

ival-mult: 2.0ms (58.5% of total)

ival-sub: 1.0ms (29.2% of total)

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

adjust: 0.0ms (0% of total)

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

simplify64.0ms (3.7%)

Memory

-10.2MiB live, 37.5MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	45
1	28	45
2	35	45
3	49	45
4	84	45
5	317	45
6	2763	45
7	6541	45

Stop Event

1×	node limit

Calls

Call 1

Inputs

#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
#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))

derivations160.0ms (9.4%)

Memory

0.8MiB live, 137.7MiB allocated; 27ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 45 to 18 computations (60% saved)

preprocess15.0ms (0.9%)

Memory: 36.6MiB live, 36.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 100 to 44 computations (56% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample703.0ms (41.4%)

explain50.0ms (3%)

preprocess23.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series4.0ms (0.2%)

simplify228.0ms (13.4%)

rewrite107.0ms (6.3%)

eval7.0ms (0.4%)

prune4.0ms (0.2%)

series6.0ms (0.3%)

simplify163.0ms (9.6%)

rewrite44.0ms (2.6%)

eval3.0ms (0.2%)

prune6.0ms (0.3%)

regimes6.0ms (0.4%)

regimes4.0ms (0.2%)

regimes3.0ms (0.2%)

bsearch97.0ms (5.7%)

simplify64.0ms (3.7%)

derivations160.0ms (9.4%)

preprocess15.0ms (0.9%)

end0.0ms (0%)

Profiling