Details

Time bar (total: 1.6s)

sample20.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 50.228882%

Guaranteed chance to sample good point: 99.987737%

Results
7.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
042
142

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(* x (log x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×add-cube-cbrt *-un-lft-identity
4×pow1 associate-*r*
3×add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
1×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
4.0ms
(* x (log x))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(* x (log x))

simplify35.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
097118
134997
2115292
3500292

prune42.0ms

Filtered
16 candidates to 28 candidates (-75.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New21728
Fresh000
Picked011
Done000
Total21829

Merged error: 0.0b

Counts
29 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt x)))
0.4b
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
5.0ms
(* x (log (cbrt x)))
9.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series143.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* x (log (cbrt x)))
47.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
24.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify52.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0364765
11382661
25002593

prune118.0ms

Filtered
89 candidates to 114 candidates (-28.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1122114
Fresh516
Picked011
Done011
Total1175122

Merged error: 0b

Counts
122 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (* (cbrt x) (cbrt x)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))

series110.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
21.0ms
(cbrt x)
29.0ms
(cbrt (cbrt x))
37.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify204.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
0147266
1289242
2847200
34355187
45001187

prune75.0ms

Filtered
45 candidates to 57 candidates (-26.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New57057
Fresh022
Picked011
Done022
Total57562

Merged error: 0b

Counts
62 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* 2 (log (cbrt x))) (log (cbrt (sqrt x))))
0.6b
(cbrt x)
0.6b
(cbrt (sqrt x))
0.6b
(cbrt (sqrt x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
21×log-prod
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×associate-+l+
9×associate-+r+ sqrt-prod
6×distribute-rgt-in distribute-lft-in
5×add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 71
Calls
4 calls:
7.0ms
(+ (* 2 (log (cbrt x))) (log (cbrt (sqrt x))))
1.0ms
(cbrt x)
2.0ms
(cbrt (sqrt x))
2.0ms
(cbrt (sqrt x))

series107.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(+ (* 2 (log (cbrt x))) (log (cbrt (sqrt x))))
21.0ms
(cbrt x)
15.0ms
(cbrt (sqrt x))
18.0ms
(cbrt (sqrt x))

simplify117.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0326559
1914524
23536476
35001459

prune90.0ms

Filtered
64 candidates to 83 candidates (-29.7%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New83083
Fresh011
Picked011
Done033
Total83588

Merged error: 0b

Counts
88 → 5

regimes76.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042
142

end0.0ms

sample347.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 50.228882%

Guaranteed chance to sample good point: 99.987737%

Results
209.0ms8000×body80valid
0.0ms1×body80nan

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