Details

Time bar (total: 2.0s)

analyze1.0ms

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

sample21.0ms

Algorithm
intervals
Results
8.0ms69×body1280valid
4.0ms42×body640valid
3.0ms116×body80valid
1.0ms16×body320valid
1.0ms13×body160valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 33.1b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.1b
(- (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:
8.0ms
(cbrt (+ x 1.0))
21.0ms
(cbrt x)
14.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify26.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
04993483
14993483

prune83.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New48452
Fresh000
Picked101
Done000
Total49453

Merged error: 0.3b

Counts
53 → 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)

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)

series87.0ms

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

simplify39.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05084341

prune120.0ms

Filtered
50 candidates to 85 candidates (-70.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New80585
Fresh033
Picked011
Done000
Total80989

Merged error: 0.2b

Counts
89 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (cbrt x))
0.9b
(pow (cbrt (cbrt x)) 4)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
22×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 → 58
Calls
4 calls:
1.0ms
(cbrt x)
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
2.0ms
(cbrt (cbrt x))
3.0ms
(pow (cbrt (cbrt x)) 4)

series122.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt x)
33.0ms
(cbrt (* (cbrt x) (cbrt x)))
30.0ms
(cbrt (cbrt x))
38.0ms
(pow (cbrt (cbrt x)) 4)

simplify56.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04925378
14925378

prune162.0ms

Filtered
49 candidates to 70 candidates (-42.9%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New63770
Fresh257
Picked101
Done011
Total661379

Merged error: 0.1b

Counts
79 → 13

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.9b
(pow (cbrt (cbrt x)) 4)
0.9b
(pow (cbrt (cbrt x)) 4)
0.9b
(pow (cbrt (cbrt x)) 4)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
27×unpow-prod-down
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow-unpow
7×pow1 add-exp-log
6×pow-pow
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-to-exp pow-exp sqr-pow
Counts
4 → 86
Calls
4 calls:
2.0ms
(cbrt (cbrt x))
4.0ms
(pow (cbrt (cbrt x)) 4)
3.0ms
(pow (cbrt (cbrt x)) 4)
4.0ms
(pow (cbrt (cbrt x)) 4)

series146.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (cbrt x))
38.0ms
(pow (cbrt (cbrt x)) 4)
41.0ms
(pow (cbrt (cbrt x)) 4)
38.0ms
(pow (cbrt (cbrt x)) 4)

simplify66.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04759677
14759677

prune248.0ms

Filtered
67 candidates to 98 candidates (-46.3%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New95398
Fresh11011
Picked011
Done011
Total9615111

Merged error: 0.1b

Counts
111 → 15

regimes91.0ms

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

analyze1.0ms

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

sample539.0ms

Algorithm
intervals
Results
185.0ms1651×body1280valid
112.0ms1288×body640valid
98.0ms4141×body80valid
42.0ms628×body320valid
12.0ms292×body160valid

Profiling

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