Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, B

analyze95.0ms (5.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
50%	49.9%	49.9%	0.2%	0%	0%	0%	5
50%	49.9%	49.9%	0.2%	0%	0%	0%	6
50%	49.9%	49.9%	0.2%	0%	0%	0%	7
50%	49.9%	49.9%	0.2%	0%	0%	0%	8
75%	74.9%	25%	0.2%	0%	0%	0%	9
75%	74.9%	25%	0.2%	0%	0%	0%	10
75%	74.9%	25%	0.2%	0%	0%	0%	11
75%	74.9%	25%	0.2%	0%	0%	0%	12

Compiler

Compiled 14 to 10 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

Operation ival-mult, time spent: 15.0ms, 44.0% of total-time

Operation ival-add, time spent: 8.0ms, 23.0% of total-time

Operation ival-sub, time spent: 6.0ms, 18.0% of total-time

Operation ival-div, time spent: 4.0ms, 12.0% of total-time

Operation const, time spent: 2.0ms, 6.0% of total-time

sample1.3s (73.6%)

Results

848.0ms	5965×	256	valid
403.0ms	2290×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 400.0ms

Operation ival-mult, time spent: 135.0ms, 34.0% of total-time

Operation ival-add, time spent: 128.0ms, 32.0% of total-time

Operation ival-div, time spent: 74.0ms, 19.0% of total-time

Operation ival-sub, time spent: 49.0ms, 12.0% of total-time

Operation const, time spent: 14.0ms, 4.0% of total-time

Bogosity

preprocess294.0ms (16.5%)

Algorithm

1×	egg-herbie

Rules

595×	`div-sub`
581×	`sub-neg`
576×	`times-frac`
363×	`fma-define`
261×	`distribute-lft-neg-in`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(+.f64 x y)`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
-	-	`z`
-	-	`t`
-	-	`(*.f64 t #s(literal 2 binary64))`
-	-	`(-.f64 (+.f64 x y) z)`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	636
1	179	592
2	525	592
3	1729	592
4	5768	592

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (neg.f64 x) y) z) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 x (neg.f64 y)) z) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 x y) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 (neg.f64 t) #s(literal 2 binary64)))
(neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) y) z) (*.f64 t #s(literal 2 binary64))))
(neg.f64 (/.f64 (-.f64 (+.f64 x (neg.f64 y)) z) (*.f64 t #s(literal 2 binary64))))
(neg.f64 (/.f64 (-.f64 (+.f64 x y) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))))
(neg.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 (neg.f64 t) #s(literal 2 binary64))))
(/.f64 (-.f64 (+.f64 y x) z) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 z y) x) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 t y) z) (*.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 x z) y) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 x t) z) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 x y) t) (*.f64 z #s(literal 2 binary64)))

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

Symmetry

(negabs t)

(sort x y)

Compiler

Compiled 73 to 35 computations (52.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

Operation ival-add, time spent: 37.0ms, 65.0% of total-time

Operation ival-mult, time spent: 11.0ms, 19.0% of total-time

Operation ival-div, time spent: 4.0ms, 7.0% of total-time

Operation ival-sub, time spent: 3.0ms, 5.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 40 to 22 computations (45% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize47.0ms (2.6%)

Compiler: Compiled 30 to 13 computations (56.7% saved)
Precisions: Click to see histograms. Total time spent on operations: 19.0ms
Operation ival-sub, time spent: 8.0ms, 41.0% of total-time
Operation ival-mult, time spent: 6.0ms, 31.0% of total-time
Operation ival-div, time spent: 2.0ms, 10.0% of total-time
Operation ival-add, time spent: 2.0ms, 10.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Accuracy

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative`
2×	`sub-neg`
2×	`*-commutative`
1×	`neg-sub0`
1×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	21	37
2	26	37
3	28	37
4	29	37

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess29.0ms (1.6%)

Remove

(sort x y)

(negabs t)

Compiler

Compiled 156 to 108 computations (30.8% saved)

analyze95.0ms (5.3%)

sample1.3s (73.6%)

preprocess294.0ms (16.5%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize47.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess29.0ms (1.6%)

Profiling