Details

Time bar (total: 763.0ms)

analyze110.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%62.4%12.6%6
25%46.8%28.2%7
31.2%35.9%32.9%8
39%25%36%9
42.9%18.7%38.3%10
47.2%12.9%39.9%11
49.4%9.6%41.1%12
51.6%6.5%41.9%13
52.7%4.8%42.4%14

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0msbody80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03711
13711

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
0.0b
(+ (* x x) (* (* x 2.0) y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
associate-+l+
Counts
2 → 24
Calls
2 calls:
6.0ms
(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
7.0ms
(+ (* x x) (* (* x 2.0) y))

series13.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
6.0ms
(+ (* x x) (* (* x 2.0) y))

simplify42.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04998373
14998373

prune39.0ms

Filtered
22 candidates to 30 candidates (-36.4%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New29130
Fresh000
Picked101
Done000
Total30131

Merged error: 0b

Counts
31 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (+ x (* 2.0 y))) (* y y))
0.0b
(* x (+ x (* 2.0 y)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
associate-*r* associate-*l*
distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
5.0ms
(+ (* x (+ x (* 2.0 y))) (* y y))
5.0ms
(* x (+ x (* 2.0 y)))

series12.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* x (+ x (* 2.0 y))) (* y y))
6.0ms
(* x (+ x (* 2.0 y)))

simplify36.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04977439
14977439

prune43.0ms

Filtered
27 candidates to 41 candidates (-51.9%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New41041
Fresh000
Picked011
Done000
Total41142

Merged error: 0b

Counts
42 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01211
11211

end0.0ms

sample403.0ms

Algorithm
intervals
Results
270.0ms8000×body80valid
6.0ms181×body80invalid

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