Details

Time bar (total: 2.5s)

sample16.0ms

Algorithm
intervals
Results
7.0ms255×body80valid
0.0ms1×body640valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0959
1959

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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)))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify27.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
05267903

prune60.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New59261
Fresh000
Picked011
Done000
Total59362

Merged error: 0.0b

Counts
62 → 3

localize9.0ms

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))))

rewrite100.0ms

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:
43.0ms
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
8.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
8.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
8.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))

series81.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
19.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
18.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
18.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))

simplify91.0ms

Algorithm
egg-herbie
Counts
348 → 348
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
051757735

prune476.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New3471348
Fresh011
Picked101
Done011
Total3483351

Merged error: 0b

Counts
351 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.2b
(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.6b
(cbrt (- x y))
0.7b
(cbrt (- 2.0 (+ x y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
111×*-un-lft-identity
83×cbrt-prod
78×add-sqr-sqrt
60×times-frac
35×distribute-lft-out--
30×add-cube-cbrt
24×difference-of-squares
11×distribute-lft-out
6×cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 associate-/r/ add-cbrt-cube flip-- add-log-exp
2×div-inv
Counts
4 → 121
Calls
4 calls:
8.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
8.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
3.0ms
(cbrt (- x y))
5.0ms
(cbrt (- 2.0 (+ x y)))

series82.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
21.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
25.0ms
(cbrt (- x y))
17.0ms
(cbrt (- 2.0 (+ x y)))

simplify80.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
051002169

prune210.0ms

Filtered
88 candidates to 133 candidates (-51.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1330133
Fresh011
Picked011
Done011
Total1333136

Merged error: 0b

Counts
136 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ (- x y) (- 2.0 (+ x y))))
0.0b
(/ (- x y) (- 2.0 (+ x y)))
0.0b
(/ (- x y) (- 2.0 (+ x y)))
0.1b
(* (sqrt (/ (- x y) (- 2.0 (+ x y)))) (sqrt (/ (- x y) (- 2.0 (+ x y)))))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
667×*-un-lft-identity
335×add-sqr-sqrt
325×times-frac
302×sqrt-prod
218×distribute-lft-out--
110×add-cube-cbrt
97×difference-of-squares
95×swap-sqr
69×distribute-lft-out
39×associate-*r* associate-*l*
20×pow1
14×associate-/r/
12×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
9×flip3-- sqrt-pow1 pow1/2 flip-- unswap-sqr
7×div-inv
5×sqrt-div pow-prod-up
4×associate-/l/ add-log-exp
3×pow-prod-down pow-sqr
2×cbrt-undiv rem-sqrt-square frac-2neg div-sub div-exp clear-num
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 374
Calls
4 calls:
10.0ms
(sqrt (/ (- x y) (- 2.0 (+ x y))))
9.0ms
(/ (- x y) (- 2.0 (+ x y)))
9.0ms
(/ (- x y) (- 2.0 (+ x y)))
46.0ms
(* (sqrt (/ (- x y) (- 2.0 (+ x y)))) (sqrt (/ (- x y) (- 2.0 (+ x y)))))

series72.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(sqrt (/ (- x y) (- 2.0 (+ x y))))
7.0ms
(/ (- x y) (- 2.0 (+ x y)))
7.0ms
(/ (- x y) (- 2.0 (+ x y)))
8.0ms
(* (sqrt (/ (- x y) (- 2.0 (+ x y)))) (sqrt (/ (- x y) (- 2.0 (+ x y)))))

simplify99.0ms

Algorithm
egg-herbie
Counts
386 → 386
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049856227
149856227

prune355.0ms

Filtered
187 candidates to 386 candidates (-106.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3860386
Fresh000
Picked011
Done022
Total3863389

Merged error: 0b

Counts
389 → 3

regimes116.0ms

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
089
189

end0.0ms

sample423.0ms

Algorithm
intervals
Results
210.0ms7998×body80valid
0.0ms1×body320valid
0.0ms1×body640valid

Profiling

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