Details

Time bar (total: 4.9s)

analyze31.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
25%74.9%0.1%4
56.2%43.7%0.1%5
65.6%34.3%0.1%6
79.6%20.3%0.1%7
83.5%16.4%0.1%8
90.1%9.8%0.1%9
91.9%8%0.1%10
95.1%4.8%0.1%11
96%4%0.1%12
97.5%2.4%0.1%13
97.9%2%0.1%14

sample17.0ms

Algorithm
intervals
Results
6.0ms255×body80valid
0.0ms1×body640valid

simplify127.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (125.0ms)

IterNodesCost
021909
121909

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
14×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 58
Calls
1 calls:
9.0ms
(/ (- x y) (- 2.0 (+ x y)))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04966901
14966901

prune62.0ms

Filtered
38 candidates to 61 candidates (-60.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New58361
Fresh000
Picked011
Done000
Total58462

Merged error: 0.0b

Counts
62 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 2.0 (+ x y)) (- x y))
0.1b
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
292×*-un-lft-identity
258×times-frac
214×add-sqr-sqrt
100×add-cube-cbrt
83×distribute-lft-out--
57×difference-of-squares
41×associate-/r*
26×distribute-lft-out
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×flip3-- flip-- div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 226
Calls
2 calls:
11.0ms
(/ (- 2.0 (+ x y)) (- x y))
14.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

series21.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(/ (- 2.0 (+ x y)) (- x y))
8.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

simplify68.0ms

Algorithm
egg-herbie
Counts
232 → 232
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
055373866

prune181.0ms

Filtered
111 candidates to 232 candidates (-109.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2311232
Fresh112
Picked101
Done011
Total2333236

Merged error: 0b

Counts
236 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
0.2b
(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.2b
(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.2b
(cbrt (/ (- x y) (- 2.0 (+ x y))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
651×*-un-lft-identity
372×cbrt-prod
324×times-frac
318×add-sqr-sqrt
212×distribute-lft-out--
108×add-cube-cbrt
93×swap-sqr difference-of-squares
67×distribute-lft-out
39×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 336
Calls
4 calls:
46.0ms
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
9.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
9.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
9.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))

series86.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
19.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
24.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
19.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))

simplify83.0ms

Algorithm
egg-herbie
Counts
348 → 348
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049657842
149657842

prune537.0ms

Filtered
176 candidates to 348 candidates (-97.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3480348
Fresh011
Picked011
Done011
Total3483351

Merged error: 0b

Counts
351 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 2.0 (+ x y)))
0.1b
(/ (/ 1 (sqrt (- 2.0 (+ x y)))) (/ (sqrt (- 2.0 (+ x y))) (- x y)))
0.2b
(/ (sqrt (- 2.0 (+ x y))) (- x y))
0.3b
(/ 1 (sqrt (- 2.0 (+ x y))))

rewrite330.0ms

Algorithm
rewrite-expression-head
Rules
4689×times-frac
3874×*-un-lft-identity
2864×add-sqr-sqrt
2022×sqrt-prod
1557×add-cube-cbrt
990×distribute-lft-out--
653×difference-of-squares
337×distribute-lft-out
177×associate-/r/
110×sqrt-div
90×flip3-- flip--
89×div-inv
65×associate-/r*
45×associate-/l*
32×add-exp-log
20×add-cbrt-cube
19×div-exp
10×cbrt-undiv
7×pow1
4×add-log-exp
3×rec-exp pow-flip frac-2neg 1-exp clear-num associate-/l/
2×sqrt-pow1 pow1/2
1×rem-sqrt-square inv-pow
Counts
4 → 1943
Calls
4 calls:
5.0ms
(sqrt (- 2.0 (+ x y)))
59.0ms
(/ (/ 1 (sqrt (- 2.0 (+ x y)))) (/ (sqrt (- 2.0 (+ x y))) (- x y)))
10.0ms
(/ (sqrt (- 2.0 (+ x y))) (- x y))
9.0ms
(/ 1 (sqrt (- 2.0 (+ x y))))

series51.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(sqrt (- 2.0 (+ x y)))
8.0ms
(/ (/ 1 (sqrt (- 2.0 (+ x y)))) (/ (sqrt (- 2.0 (+ x y))) (- x y)))
22.0ms
(/ (sqrt (- 2.0 (+ x y))) (- x y))
13.0ms
(/ 1 (sqrt (- 2.0 (+ x y))))

simplify452.0ms

Algorithm
egg-herbie
Counts
1955 → 1955
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
0507766591

prune2.1s

Filtered
497 candidates to 1955 candidates (-293.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New195501955
Fresh000
Picked011
Done022
Total195531958

Merged error: 0b

Counts
1958 → 3

regimes106.0ms

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 (1.0ms)

IterNodesCost
0369
1369

end0.0ms

sample316.0ms

Algorithm
intervals
Results
199.0ms7997×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid

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