Details

Time bar (total: 1.9s)

sample24.0ms

Algorithm
intervals
Results
8.0ms65×body1280valid
4.0ms39×body640valid
3.0ms124×body80valid
1.0ms16×body320valid
1.0ms12×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0107
1107

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.5b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.2b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
13×add-sqr-sqrt
5×add-cube-cbrt add-log-exp
4×difference-of-squares
3×pow1 add-exp-log add-cbrt-cube distribute-lft-out--
2×cbrt-div pow1/3 distribute-lft-out
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 44
Calls
3 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
8.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series49.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cbrt (+ x 1.0))
22.0ms
(cbrt x)
21.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify45.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04894491
14894491

prune78.0ms

Filtered
41 candidates to 53 candidates (-29.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New50353
Fresh000
Picked011
Done000
Total50454

Merged error: 0.2b

Counts
54 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series90.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt x) (cbrt x))
21.0ms
(cbrt x)
21.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify72.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
05837334

prune125.0ms

Filtered
52 candidates to 85 candidates (-63.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New79685
Fresh022
Picked011
Done011
Total791089

Merged error: 0.1b

Counts
89 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×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 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series89.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
24.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify47.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04856196
14856196

prune109.0ms

Filtered
40 candidates to 56 candidates (-40.0%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New54256
Fresh167
Picked011
Done022
Total551166

Merged error: 0.1b

Counts
66 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(pow (cbrt (cbrt x)) 4)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(pow (cbrt (cbrt x)) 4)

series108.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
21.0ms
(cbrt x)
21.0ms
(cbrt x)
43.0ms
(pow (cbrt (cbrt x)) 4)

simplify51.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05194328

prune111.0ms

Filtered
44 candidates to 69 candidates (-56.8%)
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New67269
Fresh077
Picked011
Done033
Total671380

Merged error: 0.1b

Counts
80 → 13

regimes171.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01420
11420

end0.0ms

sample637.0ms

Algorithm
intervals
Results
216.0ms1714×body1280valid
122.0ms1233×body640valid
104.0ms4108×body80valid
44.0ms629×body320valid
17.0ms316×body160valid

Profiling

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