Details

Time bar (total: 1.5s)

analyze93.0ms

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
0.0ms8×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03711
13711

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize7.0ms

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))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 24
Calls
2 calls:
6.0ms
(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
4.0ms
(+ (* x x) (* (* x 2.0) y))

series12.0ms

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

simplify40.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04998373
14998373

prune42.0ms

Filtered
21 candidates to 30 candidates (-42.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New28230
Fresh011
Picked101
Done000
Total29332

Merged error: 0b

Counts
32 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
6.0ms
(* y (+ (* x 2.0) y))
4.0ms
(+ (* x x) (* y (+ (* x 2.0) y)))

series11.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* y (+ (* x 2.0) y))
6.0ms
(+ (* x x) (* y (+ (* x 2.0) y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05035439

prune50.0ms

Filtered
30 candidates to 41 candidates (-36.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New41041
Fresh022
Picked011
Done000
Total41344

Merged error: 0b

Counts
44 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* y (+ (* x 2.0) y)))
0.0b
(* (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))))
5.0b
(sqrt (+ (* x x) (* y (+ (* x 2.0) y))))
5.0b
(sqrt (+ (* x x) (* y (+ (* x 2.0) y))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-+r+ associate-*r/ associate-*l/
1×+-commutative pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 100
Calls
4 calls:
4.0ms
(+ (* x x) (* y (+ (* x 2.0) y)))
11.0ms
(* (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))))
4.0ms
(sqrt (+ (* x x) (* y (+ (* x 2.0) y))))
4.0ms
(sqrt (+ (* x x) (* y (+ (* x 2.0) y))))

series35.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (* x x) (* y (+ (* x 2.0) y)))
7.0ms
(* (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))))
10.0ms
(sqrt (+ (* x x) (* y (+ (* x 2.0) y))))
12.0ms
(sqrt (+ (* x x) (* y (+ (* x 2.0) y))))

simplify41.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050071740

prune142.0ms

Filtered
73 candidates to 112 candidates (-53.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1120112
Fresh011
Picked011
Done011
Total1123115

Merged error: 0b

Counts
115 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (+ x (* 2.0 y)))) (cbrt (* x (+ x (* 2.0 y)))))
8.5b
(cbrt (* x (+ x (* 2.0 y))))
8.5b
(cbrt (* x (+ x (* 2.0 y))))
8.5b
(cbrt (* x (+ x (* 2.0 y))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* x (+ x (* 2.0 y)))) (cbrt (* x (+ x (* 2.0 y)))))
4.0ms
(cbrt (* x (+ x (* 2.0 y))))
4.0ms
(cbrt (* x (+ x (* 2.0 y))))
4.0ms
(cbrt (* x (+ x (* 2.0 y))))

series177.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (cbrt (* x (+ x (* 2.0 y)))) (cbrt (* x (+ x (* 2.0 y)))))
43.0ms
(cbrt (* x (+ x (* 2.0 y))))
42.0ms
(cbrt (* x (+ x (* 2.0 y))))
45.0ms
(cbrt (* x (+ x (* 2.0 y))))

simplify41.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04932980
14932980

prune144.0ms

Filtered
63 candidates to 84 candidates (-33.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh000
Picked011
Done022
Total84387

Merged error: 0b

Counts
87 → 3

regimes78.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01211
11211

end0.0ms

sample424.0ms

Algorithm
intervals
Results
281.0ms8000×body80valid
6.0ms177×body80invalid

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