Details

Time bar (total: 2.1s)

sample23.0ms

Algorithm
intervals
Results
7.0ms56×body1280valid
3.0ms130×body80valid
3.0ms37×body640valid
2.0ms29×body320valid
0.0ms4×body160valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0107
1107

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))
0.5b
(cbrt x)
3.1b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite14.0ms

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)
9.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series52.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(cbrt (+ x 1.0))
25.0ms
(cbrt x)
20.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify49.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04923491
14923491

prune100.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New48553
Fresh000
Picked101
Done000
Total49554

Merged error: 0.2b

Counts
54 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

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

series104.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (cbrt x) (cbrt x))
27.0ms
(cbrt x)
25.0ms
(cbrt x)
24.0ms
(cbrt x)

simplify63.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05837334

prune136.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New80585
Fresh134
Picked011
Done000
Total81990

Merged error: 0.1b

Counts
90 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (cbrt x))
0.8b
(pow (cbrt (cbrt x)) 4)

rewrite15.0ms

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)))
4.0ms
(cbrt (cbrt x))
4.0ms
(pow (cbrt (cbrt x)) 4)

series147.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt x)
42.0ms
(cbrt (* (cbrt x) (cbrt x)))
34.0ms
(cbrt (cbrt x))
46.0ms
(pow (cbrt (cbrt x)) 4)

simplify36.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04855370
14855370

prune176.0ms

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

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New64670
Fresh077
Picked011
Done011
Total641579

Merged error: 0.1b

Counts
79 → 15

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.9b
(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)
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
4.0ms
(pow (cbrt (cbrt x)) 5)

series149.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt x)
35.0ms
(cbrt (cbrt x))
34.0ms
(cbrt (cbrt x))
54.0ms
(pow (cbrt (cbrt x)) 5)

simplify47.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04934437
14934437

prune136.0ms

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

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New69675
Fresh11112
Picked101
Done022
Total711990

Merged error: 0.1b

Counts
90 → 19

regimes108.0ms

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

sample627.0ms

Algorithm
intervals
Results
204.0ms1729×body1280valid
109.0ms1190×body640valid
100.0ms4161×body80valid
42.0ms602×body320valid
14.0ms318×body160valid

Profiling

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