Details

Time bar (total: 1.4s)

analyze26.0ms

Algorithm
search

sample11.0ms

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))

rewrite8.0ms

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))

simplify40.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0169288
1510274
21421270
35001270

prune47.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New45348
Fresh000
Picked101
Done000
Total46349

Merged error: 0.0b

Counts
49 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 174
Calls
2 calls:
12.0ms
(/ 1 (/ (- x y) (+ x y)))
7.0ms
(/ (- x y) (+ x y))

series15.0ms

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

simplify54.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04861462
121981311
250011167

prune82.0ms

Filtered
77 candidates to 180 candidates (-133.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1800180
Fresh022
Picked011
Done000
Total1803183

Merged error: 0.0b

Counts
183 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
17×cbrt-prod
16×*-un-lft-identity
10×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-+ flip-+ distribute-lft-out
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 57
Calls
4 calls:
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series118.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- x y))
30.0ms
(cbrt (+ x y))
32.0ms
(cbrt (+ x y))
30.0ms
(cbrt (+ x y))

simplify49.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0224426
1505406
21419375
35001327

prune77.0ms

Filtered
53 candidates to 69 candidates (-30.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New68169
Fresh011
Picked011
Done011
Total68472

Merged error: 0.0b

Counts
72 → 4

localize7.0ms

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)))

rewrite68.0ms

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)))

series34.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (+ x y))
6.0ms
(sqrt (+ x y))
12.0ms
(/ (sqrt (+ x y)) (/ (- x y) (sqrt (+ x y))))
10.0ms
(/ (- x y) (sqrt (+ x y)))

simplify140.0ms

Algorithm
egg-herbie
Counts
460 → 460
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
08996241
145845548
250025515

prune166.0ms

Filtered
177 candidates to 460 candidates (-159.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New4591460
Fresh011
Picked011
Done022
Total4595464

Merged error: 0b

Counts
464 → 5

regimes105.0ms

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
0104
1104

end0.0ms

analyze24.0ms

Algorithm
search

sample275.0ms

Algorithm
intervals
Results
164.0ms8000×body80valid

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