Details

Time bar (total: 2.7s)

analyze14.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14

sample24.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify628.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
056
1106
2206
3466
41096
52876
67706
716676
821396
928706
1043466
1149666
1250926

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 30.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (pow x 2.0) 2)
29.5b
(sqrt (* (pow x 2.0) 2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
7×add-exp-log associate-*l*
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube
3×pow1 associate-*r* prod-exp unswap-sqr
2×add-log-exp sqr-pow
1×pow-to-exp sqrt-pow1 pow1/2 pow-exp sqrt-prod *-commutative cbrt-unprod
Counts
2 → 35
Calls
2 calls:
5.0ms
(* (pow x 2.0) 2)
5.0ms
(sqrt (* (pow x 2.0) 2))

series140.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* (pow x 2.0) 2)
79.0ms
(sqrt (* (pow x 2.0) 2))

simplify60.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 4 (55.0ms)

IterNodesCost
096362
1216332
2529314
31440312
43151309
54863309
65025309

prune90.0ms

Filtered
33 candidates to 41 candidates (-24.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New35641
Fresh000
Picked011
Done000
Total35742

Merged error: 16.2b

Counts
42 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
29.5b
(sqrt (* (pow (* (cbrt x) (cbrt x)) 2.0) (* 2 (pow (cbrt x) 2.0))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1
4×add-exp-log add-cbrt-cube add-log-exp
3×pow1/3
1×sqrt-pow1 pow1/2 sqrt-prod
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(sqrt (* (pow (* (cbrt x) (cbrt x)) 2.0) (* 2 (pow (cbrt x) 2.0))))

series136.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
22.0ms
(cbrt x)
23.0ms
(cbrt x)
69.0ms
(sqrt (* (pow (* (cbrt x) (cbrt x)) 2.0) (* 2 (pow (cbrt x) 2.0))))

simplify25.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 4 (20.0ms)

IterNodesCost
071449
1145407
2266359
3623346
41956340
55474340

prune96.0ms

Filtered
41 candidates to 55 candidates (-34.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New54155
Fresh145
Picked101
Done011
Total56662

Merged error: 7.8b

Counts
62 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
15.7b
(sqrt (pow (* (cbrt x) (cbrt x)) 2.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
5×sqrt-prod
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×rem-sqrt-square pow1/3
2×unpow-prod-down sqr-pow
1×sqrt-pow1 pow1/2
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(sqrt (pow (* (cbrt x) (cbrt x)) 2.0))

series133.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
21.0ms
(cbrt x)
22.0ms
(cbrt x)
68.0ms
(sqrt (pow (* (cbrt x) (cbrt x)) 2.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 4 (42.0ms)

IterNodesCost
074439
1149402
2262353
3529341
41511334
54498334
65035334

prune139.0ms

Filtered
48 candidates to 62 candidates (-29.2%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New56662
Fresh044
Picked101
Done011
Total571168

Merged error: 0.4b

Counts
68 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow (cbrt x) 2.0)
0.5b
(pow (cbrt x) 2.0)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
6×pow1 add-exp-log pow-unpow
4×pow-pow pow1/3 add-cbrt-cube add-log-exp
2×pow-to-exp pow-exp sqr-pow
Counts
4 → 64
Calls
4 calls:
2.0ms
(pow (cbrt x) 2.0)
3.0ms
(pow (cbrt x) 2.0)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series139.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(pow (cbrt x) 2.0)
46.0ms
(pow (cbrt x) 2.0)
23.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify95.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 4 (89.0ms)

IterNodesCost
067518
1139484
2277434
3624418
42696410
54754410
65036410

prune119.0ms

Filtered
52 candidates to 76 candidates (-46.2%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New68876
Fresh549
Picked011
Done011
Total731487

Merged error: 0.3b

Counts
87 → 14

regimes191.0ms

Accuracy

0% (1.1b remaining)

Error of 1.4b against oracle of 0.3b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11113
21113

end0.0ms

analyze6.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14

sample557.0ms

Algorithm
intervals
Results
449.0ms8000×body80valid

Profiling

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