Details

Time bar (total: 1.2s)

analyze65.0ms

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
37.5%50%12.6%6
43.7%40.6%15.7%7
56.2%23.4%20.4%8
57.8%21.1%21.2%9
64%12.5%23.5%10
64.8%10.7%24.5%11
67.9%6.4%25.7%12
68.3%5.4%26.3%13
69.9%3.3%26.9%14

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms2×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0387
1387

prune7.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
3.0ms
(+ (* x x) (* x y))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(+ (* x x) (* x y))

simplify51.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05014112

prune20.0ms

Filtered
10 candidates to 15 candidates (-50.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh011
Picked011
Done000
Total14317

Merged error: 0.0b

Counts
17 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (+ x y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
5.0ms
(* x (+ x y))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(* x (+ x y))

simplify54.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04944163
14944163

prune22.0ms

Filtered
14 candidates to 26 candidates (-85.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New25126
Fresh011
Picked101
Done011
Total26329

Merged error: 0b

Counts
29 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (+ x y))
0.1b
(* (sqrt (* x (+ x y))) (sqrt (* x (+ x y))))
7.3b
(sqrt (* x (+ x y)))
7.3b
(sqrt (* x (+ x y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
14×add-sqr-sqrt
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ flip-+
8×add-exp-log associate-*r* add-cbrt-cube
7×associate-*l*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
2×associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 106
Calls
4 calls:
5.0ms
(* x (+ x y))
14.0ms
(* (sqrt (* x (+ x y))) (sqrt (* x (+ x y))))
4.0ms
(sqrt (* x (+ x y)))
4.0ms
(sqrt (* x (+ x y)))

series24.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* x (+ x y))
4.0ms
(* (sqrt (* x (+ x y))) (sqrt (* x (+ x y))))
8.0ms
(sqrt (* x (+ x y)))
8.0ms
(sqrt (* x (+ x y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04950840
14950840

prune86.0ms

Filtered
69 candidates to 118 candidates (-71.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1180118
Fresh011
Picked011
Done011
Total1183121

Merged error: 0b

Counts
121 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.0b
(sqrt (+ x y))
0.1b
(* x (sqrt (+ x y)))
0.1b
(* (* x (sqrt (+ x y))) (sqrt (+ x y)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×sqrt-div
17×add-sqr-sqrt sqrt-prod
14×associate-*r*
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod distribute-lft-out add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 87
Calls
4 calls:
5.0ms
(sqrt (+ x y))
5.0ms
(sqrt (+ x y))
11.0ms
(* x (sqrt (+ x y)))
19.0ms
(* (* x (sqrt (+ x y))) (sqrt (+ x y)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (+ x y))
10.0ms
(sqrt (+ x y))
16.0ms
(* x (sqrt (+ x y)))
16.0ms
(* (* x (sqrt (+ x y))) (sqrt (+ x y)))

simplify27.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
05213885

prune74.0ms

Filtered
65 candidates to 99 candidates (-52.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh000
Picked011
Done022
Total993102

Merged error: 0b

Counts
102 → 3

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109
1109

end0.0ms

analyze62.0ms

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
37.5%50%12.6%6
43.7%40.6%15.7%7
56.2%23.4%20.4%8
57.8%21.1%21.2%9
64%12.5%23.5%10
64.8%10.7%24.5%11
67.9%6.4%25.7%12
68.3%5.4%26.3%13
69.9%3.3%26.9%14

sample354.0ms

Algorithm
intervals
Results
228.0ms8000×body80valid
4.0ms155×body80invalid

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