Details

Time bar (total: 1.8s)

analyze1.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
100%0%0%1

sample25.0ms

Algorithm
intervals
Results
7.0ms44×body640valid
7.0ms61×body1280valid
3.0ms127×body80valid
1.0ms13×body320valid
0.0ms11×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0717
1717

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.6b

Counts
2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.5b
(- (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 → 43
Calls
3 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
7.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series40.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cbrt (+ x 1.0))
20.0ms
(cbrt x)
14.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify59.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04919486
14919486

prune77.0ms

Filtered
41 candidates to 52 candidates (-26.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New49352
Fresh000
Picked011
Done000
Total49453

Merged error: 0.2b

Counts
53 → 4

localize10.0ms

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)

rewrite10.0ms

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:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series85.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (cbrt x) (cbrt x))
20.0ms
(cbrt x)
22.0ms
(cbrt x)
20.0ms
(cbrt x)

simplify44.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05165356

prune123.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New80585
Fresh022
Picked011
Done011
Total80989

Merged error: 0.2b

Counts
89 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(pow (cbrt (cbrt x)) 2)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
13×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 unpow2 sqr-pow
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt x)
3.0ms
(pow (cbrt (cbrt x)) 2)
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series111.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
32.0ms
(pow (cbrt (cbrt x)) 2)
30.0ms
(cbrt (cbrt x))
28.0ms
(cbrt (cbrt x))

simplify43.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04877386
14877386

prune144.0ms

Filtered
51 candidates to 76 candidates (-49.0%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New72476
Fresh066
Picked101
Done022
Total731285

Merged error: 0.1b

Counts
85 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
1.1b
(pow (cbrt (cbrt x)) 5)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
13×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 → 63
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
3.0ms
(pow (cbrt (cbrt x)) 5)

series121.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt x)
30.0ms
(cbrt (cbrt x))
28.0ms
(cbrt (cbrt x))
43.0ms
(pow (cbrt (cbrt x)) 5)

simplify44.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04831437
14831437

prune123.0ms

Filtered
53 candidates to 75 candidates (-41.5%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New71475
Fresh279
Picked101
Done022
Total741387

Merged error: 0.1b

Counts
87 → 13

regimes138.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01420
11420

end0.0ms

sample570.0ms

Algorithm
intervals
Results
199.0ms1690×body1280valid
118.0ms1268×body640valid
96.0ms4092×body80valid
43.0ms627×body320valid
16.0ms323×body160valid

Profiling

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