Details

Time bar (total: 1.9s)

analyze1.0ms

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

sample26.0ms

Algorithm
intervals
Results
11.0ms66×body1280valid
3.0ms128×body80valid
3.0ms32×body640valid
2.0ms19×body320valid
0.0ms11×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0717
1717

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.4b

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

series43.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cbrt (+ x 1.0))
22.0ms
(cbrt x)
15.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify62.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04919486
14919486

prune87.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New49352
Fresh000
Picked101
Done000
Total50353

Merged error: 0.3b

Counts
53 → 3

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)

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)

series93.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt x) (cbrt x))
22.0ms
(cbrt x)
22.0ms
(cbrt x)
24.0ms
(cbrt x)

simplify44.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05165356

prune137.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New80585
Fresh022
Picked101
Done000
Total81788

Merged error: 0.2b

Counts
88 → 7

localize16.0ms

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))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series107.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
22.0ms
(cbrt x)
31.0ms
(cbrt (cbrt x))
32.0ms
(cbrt (cbrt x))

simplify35.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04926282
14926282

prune155.0ms

Filtered
46 candidates to 62 candidates (-34.8%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New55762
Fresh066
Picked011
Done000
Total551469

Merged error: 0.1b

Counts
69 → 14

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 56
Calls
4 calls:
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series123.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (cbrt x))
32.0ms
(cbrt (cbrt x))
30.0ms
(cbrt (cbrt x))
30.0ms
(cbrt (cbrt x))

simplify53.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04787368
14787368

prune135.0ms

Filtered
56 candidates to 68 candidates (-21.4%)
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New64468
Fresh01212
Picked011
Done011
Total641882

Merged error: 0.1b

Counts
82 → 18

regimes103.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02027
12027

end0.0ms

sample588.0ms

Algorithm
intervals
Results
219.0ms1757×body1280valid
118.0ms1205×body640valid
97.0ms4062×body80valid
47.0ms659×body320valid
15.0ms317×body160valid

Profiling

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