Details

Time bar (total: 1.7s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
7.0ms
(/ (+ x y) (- x y))

series8.0ms

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

simplify42.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0169288
1510274
21421270
35001270

prune47.0ms

Filtered
32 candidates to 48 candidates (-50.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New45348
Fresh000
Picked011
Done000
Total45449

Merged error: 0b

Counts
49 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
121×*-un-lft-identity
80×times-frac
79×add-sqr-sqrt
78×cbrt-prod
45×add-cube-cbrt
21×distribute-lft-out
17×distribute-lft-out-- difference-of-squares
8×associate-/r/
6×add-exp-log add-cbrt-cube
5×associate-/r*
4×pow1 flip3-- flip-- div-inv associate-/l* add-log-exp
3×cbrt-div pow1/3
2×associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+
Counts
4 → 150
Calls
4 calls:
7.0ms
(/ (+ x y) (- x y))
7.0ms
(cbrt (/ (+ x y) (- x y)))
9.0ms
(cbrt (/ (+ x y) (- x y)))
6.0ms
(cbrt (/ (+ x y) (- x y)))

series97.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ (+ x y) (- x y))
32.0ms
(cbrt (/ (+ x y) (- x y)))
28.0ms
(cbrt (/ (+ x y) (- x y)))
28.0ms
(cbrt (/ (+ x y) (- x y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
02221263
16231216
218611197
350011197

prune126.0ms

Filtered
113 candidates to 162 candidates (-43.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1620162
Fresh022
Picked011
Done011
Total1624166

Merged error: 0b

Counts
166 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (/ (+ x y) (sqrt (- x y))) (sqrt (- x y)))
0.3b
(/ (+ x y) (sqrt (- x y)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
624×times-frac
574×*-un-lft-identity
412×add-sqr-sqrt
400×sqrt-prod
252×add-cube-cbrt
81×distribute-lft-out
80×distribute-lft-out-- difference-of-squares
42×associate-/l*
22×sqrt-div associate-/r/
16×associate-/r*
11×flip3-- flip-- div-inv
9×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp
3×associate-/l/
2×pow1 frac-2neg clear-num add-log-exp
1×flip3-+ flip-+
Counts
2 → 427
Calls
2 calls:
23.0ms
(/ (/ (+ x y) (sqrt (- x y))) (sqrt (- x y)))
8.0ms
(/ (+ x y) (sqrt (- x y)))

series35.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (/ (+ x y) (sqrt (- x y))) (sqrt (- x y)))
26.0ms
(/ (+ x y) (sqrt (- x y)))

simplify104.0ms

Algorithm
egg-herbie
Counts
433 → 433
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
08936304
133365643
250015627

prune144.0ms

Filtered
147 candidates to 433 candidates (-194.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New4330433
Fresh011
Picked011
Done022
Total4334437

Merged error: 0b

Counts
437 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.0b
(sqrt (+ x y))
0.0b
(/ (sqrt (+ x y)) (/ (- x y) (sqrt (+ x y))))
0.2b
(/ (- x y) (sqrt (+ x y)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
602×times-frac
562×*-un-lft-identity
384×add-sqr-sqrt
360×sqrt-prod
254×add-cube-cbrt
90×distribute-lft-out
64×distribute-lft-out-- difference-of-squares
48×associate-/r*
24×sqrt-div
19×associate-/r/
12×flip3-+ flip-+ associate-/l*
11×add-exp-log add-cbrt-cube
10×div-inv
6×pow1
4×cbrt-undiv div-exp associate-/l/ add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×flip3-- div-sub flip--
Counts
4 → 448
Calls
4 calls:
3.0ms
(sqrt (+ x y))
3.0ms
(sqrt (+ x y))
20.0ms
(/ (sqrt (+ x y)) (/ (- x y) (sqrt (+ x y))))
8.0ms
(/ (- x y) (sqrt (+ x y)))

series36.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (+ x y))
6.0ms
(sqrt (+ x y))
13.0ms
(/ (sqrt (+ x y)) (/ (- x y) (sqrt (+ x y))))
11.0ms
(/ (- x y) (sqrt (+ x y)))

simplify142.0ms

Algorithm
egg-herbie
Counts
460 → 460
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
08996243
145555548
250025515

prune168.0ms

Filtered
178 candidates to 460 candidates (-158.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New4600460
Fresh000
Picked011
Done033
Total4604464

Merged error: 0b

Counts
464 → 4

regimes107.0ms

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
063
163

end0.0ms

sample363.0ms

Algorithm
intervals
Results
168.0ms8000×body80valid

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