Metrics for fabs fraction 1

analyze46.0ms (3.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	49.9%	49.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 16 to 11 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 4.0ms (21.5% of total)

ival-mult: 4.0ms (21.5% of total)

ival-sub: 3.0ms (16.1% of total)

ival-add: 3.0ms (16.1% of total)

ival-fabs: 3.0ms (16.1% of total)

const: 1.0ms (5.4% of total)

sample1.2s (79.4%)

Results

717.0ms

8256×

256

valid

Precisions

Click to see histograms. Total time spent on operations: 472.0ms

ival-div: 177.0ms (37.5% of total)

ival-mult: 133.0ms (28.2% of total)

ival-add: 58.0ms (12.3% of total)

ival-fabs: 54.0ms (11.4% of total)

ival-sub: 40.0ms (8.5% of total)

const: 10.0ms (2.1% of total)

Bogosity

preprocess157.0ms (10.5%)

Algorithm

1×	egg-herbie

Rules

1005×	`fma-neg`
538×	`fma-define`
427×	`times-frac`
297×	`sub-neg`
296×	`associate-+l+`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	54	594
1	147	562
2	307	546
3	763	526
4	2438	518
5	4139	491
6	5763	491
7	7943	491

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 4 binary64)) y) (*.f64 (/.f64 (neg.f64 x) y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) (neg.f64 y)) (*.f64 (/.f64 x (neg.f64 y)) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) (neg.f64 z))))
(neg.f64 (fabs.f64 (-.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 4 binary64)) y) (*.f64 (/.f64 (neg.f64 x) y) z))))
(neg.f64 (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) (neg.f64 y)) (*.f64 (/.f64 x (neg.f64 y)) z))))
(neg.f64 (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) (neg.f64 z)))))
(fabs.f64 (-.f64 (/.f64 (+.f64 y #s(literal 4 binary64)) x) (*.f64 (/.f64 y x) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 z #s(literal 4 binary64)) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) z) (*.f64 (/.f64 x z) y)))

Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 #s(literal -4 binary64) x) y)))
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x z (-.f64 #s(literal -4 binary64) x))))
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 #s(literal -4 binary64) x) y)))
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x z (-.f64 #s(literal -4 binary64) x))))
(fabs.f64 (-.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 4 binary64)) y) (*.f64 (/.f64 (neg.f64 x) y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 #s(literal 4 binary64) (neg.f64 x)) y) (*.f64 z (/.f64 x (neg.f64 y)))))
(fabs.f64 (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (-.f64 #s(literal 4 binary64) x) y)))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 #s(literal 4 binary64) x) y)))
(fabs.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -4 binary64) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) (neg.f64 y)) (*.f64 (/.f64 x (neg.f64 y)) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 #s(literal -4 binary64) x) y)))
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x z (-.f64 #s(literal -4 binary64) x))))
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) (neg.f64 z))))
(fabs.f64 (+.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y)))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x z (+.f64 x #s(literal 4 binary64)))))
(neg.f64 (fabs.f64 (-.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 4 binary64)) y) (*.f64 (/.f64 (neg.f64 x) y) z))))
(neg.f64 (fabs.f64 (-.f64 (/.f64 (+.f64 #s(literal 4 binary64) (neg.f64 x)) y) (*.f64 z (/.f64 x (neg.f64 y))))))
(neg.f64 (fabs.f64 (+.f64 (*.f64 (/.f64 x y) z) (/.f64 (-.f64 #s(literal 4 binary64) x) y))))
(neg.f64 (fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 #s(literal 4 binary64) x) y))))
(neg.f64 (fabs.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -4 binary64) y))))
(neg.f64 (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) (neg.f64 y)) (*.f64 (/.f64 x (neg.f64 y)) z))))
(neg.f64 (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) (neg.f64 y)) (*.f64 z (/.f64 x (neg.f64 y))))))
(neg.f64 (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))))
(neg.f64 (fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 #s(literal -4 binary64) x) y))))
(neg.f64 (fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x z (-.f64 #s(literal -4 binary64) x)))))
(neg.f64 (fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) (neg.f64 z)))))
(neg.f64 (fabs.f64 (+.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))))
(neg.f64 (fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (+.f64 x #s(literal 4 binary64)) y))))
(neg.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x z (+.f64 x #s(literal 4 binary64))))))
(fabs.f64 (-.f64 (/.f64 (+.f64 y #s(literal 4 binary64)) x) (*.f64 (/.f64 y x) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 #s(literal 4 binary64) y) x) (*.f64 z (/.f64 y x))))
(fabs.f64 (-.f64 (/.f64 (+.f64 #s(literal 4 binary64) y) x) (*.f64 y (/.f64 z x))))
(fabs.f64 (fma.f64 y (/.f64 z x) (/.f64 (neg.f64 (+.f64 #s(literal 4 binary64) y)) x)))
(fabs.f64 (fma.f64 y (/.f64 z x) (/.f64 (-.f64 #s(literal -4 binary64) y) x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 z #s(literal 4 binary64)) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 #s(literal 4 binary64) z) y) (*.f64 x (/.f64 z y))))
(fabs.f64 (-.f64 (/.f64 (+.f64 #s(literal 4 binary64) z) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 #s(literal -4 binary64) z) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) z) (*.f64 (/.f64 x z) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) z) (*.f64 y (/.f64 x z))))
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) z) (*.f64 x (/.f64 y z))))
(fabs.f64 (-.f64 (*.f64 x (/.f64 y z)) (/.f64 (+.f64 x #s(literal 4 binary64)) z)))
(fabs.f64 (fma.f64 x (/.f64 y z) (/.f64 (-.f64 #s(literal -4 binary64) x) z)))
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 x y (-.f64 #s(literal -4 binary64) x))))

Symmetry

(abs y)

explain80.0ms (5.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
23	-	-	`(*.f64 (/.f64 x y) z)`
15	-	-	`(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))`
0	-	-	`x`
0	-	-	`(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))`
0	-	-	`(/.f64 (+.f64 x #s(literal 4 binary64)) y)`
0	-	-	`y`
0	-	-	`(+.f64 x #s(literal 4 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`z`
0	-	-	`(/.f64 x y)`

Results

49.0ms

512×

256

valid

Compiler

Compiled 109 to 32 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 8.0ms (35.3% of total)

ival-add: 4.0ms (17.6% of total)

ival-mult: 4.0ms (17.6% of total)

ival-sub: 3.0ms (13.2% of total)

ival-fabs: 3.0ms (13.2% of total)

const: 1.0ms (4.4% of total)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.8%	(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative`
10×	`sub-neg`
9×	`*-commutative`
8×	`neg-sub0`
8×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	50
1	26	50
2	44	50
3	60	50
4	75	50
5	85	50
6	88	50
7	89	50

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))

Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))

soundness0.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 15 to 10 computations (33.3% saved)

preprocess20.0ms (1.3%)

Remove: (abs y)
Compiler: Compiled 120 to 80 computations (33.3% saved)

fabs fraction 1

analyze46.0ms (3.1%)

sample1.2s (79.4%)

preprocess157.0ms (10.5%)

explain80.0ms (5.4%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify4.0ms (0.2%)

soundness0.0ms (0%)

preprocess20.0ms (1.3%)

end0.0ms (0%)

Profiling