Details

Time bar (total: 1.7s)

analyze4.0ms

Algorithm
search

sample11.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms1×body80invalid

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: 0.3b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(* 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 (10.0ms)

IterNodesCost
097118
134997
2115292
3500292

prune43.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New20828
Fresh000
Picked011
Done000
Total20929

Merged error: 0.0b

Counts
29 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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)

series136.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* x (log (cbrt x)))
48.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
21.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify50.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0364765
11382661
25002593

prune122.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1113114
Fresh437
Picked101
Done011
Total1167123

Merged error: 0b

Counts
123 → 7

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)))

series108.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
31.0ms
(cbrt (cbrt x))
34.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify209.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0147266
1289242
2847200
34355187
45001187

prune85.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New57057
Fresh055
Picked011
Done011
Total57764

Merged error: 0b

Counts
64 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* 2 (log (pow x 1/3))))
0.3b
(+ (* x (* 2 (log (pow x 1/3)))) (* x (log (cbrt x))))
0.6b
(cbrt x)
5.0b
(pow x 1/3)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
68×log-prod
62×distribute-rgt-in distribute-lft-in
28×add-sqr-sqrt add-cube-cbrt associate-+l+ *-un-lft-identity
27×unpow-prod-down
12×associate-+r+
10×pow1 add-exp-log
9×cbrt-prod add-cbrt-cube sqr-pow
6×add-log-exp
3×pow-unpow associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow1/3 associate-*r* pow-exp sum-log *-commutative flip-+ distribute-lft-out
Counts
4 → 127
Calls
4 calls:
7.0ms
(* x (* 2 (log (pow x 1/3))))
10.0ms
(+ (* x (* 2 (log (pow x 1/3)))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
2.0ms
(pow x 1/3)

series145.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* x (* 2 (log (pow x 1/3))))
59.0ms
(+ (* x (* 2 (log (pow x 1/3)))) (* x (log (cbrt x))))
23.0ms
(cbrt x)
20.0ms
(pow x 1/3)

simplify73.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0577987
12151786
25001677

prune161.0ms

Filtered
89 candidates to 139 candidates (-56.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1390139
Fresh044
Picked011
Done022
Total1397146

Merged error: 0b

Counts
146 → 7

regimes86.0ms

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

analyze3.0ms

Algorithm
search

sample278.0ms

Algorithm
intervals
Results
192.0ms8000×body80valid
0.0ms2×body80invalid
0.0ms2×body80nan

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