Details

Time bar (total: 2.2s)

sample22.0ms

Algorithm
intervals
Results
7.0ms57×body1280valid
3.0ms36×body640valid
3.0ms131×body80valid
2.0ms25×body320valid
0.0ms7×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.2b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.0b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite13.0ms

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))

series47.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cbrt (+ x 1.0))
22.0ms
(cbrt x)
19.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify116.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0290405
1908390
24235335
35002332

prune92.0ms

Filtered
42 candidates to 53 candidates (-26.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New49453
Fresh000
Picked101
Done000
Total50454

Merged error: 0.5b

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)

rewrite11.0ms

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)

series92.0ms

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

simplify74.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune159.0ms

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

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New751085
Fresh033
Picked011
Done000
Total751489

Merged error: 0.3b

Counts
89 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 38
Calls
4 calls:
1.0ms
(cbrt x)
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))

series130.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
36.0ms
(cbrt (* (cbrt x) (cbrt x)))
35.0ms
(cbrt (* (cbrt x) (cbrt x)))
37.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify183.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
0114285
1227251
2718205
33809190
45001190

prune142.0ms

Filtered
41 candidates to 50 candidates (-22.0%)
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New44650
Fresh01212
Picked011
Done011
Total442064

Merged error: 0.2b

Counts
64 → 20

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series113.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
30.0ms
(cbrt (cbrt x))
32.0ms
(cbrt (cbrt x))
30.0ms
(cbrt (cbrt x))

simplify78.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
099309
1175287
2404247
31393237
45002237

prune104.0ms

Filtered
52 candidates to 65 candidates (-25.0%)
Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New61465
Fresh31417
Picked011
Done022
Total642185

Merged error: 0.2b

Counts
85 → 21

regimes106.0ms

Accuracy

0% (0.3b 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
01713
12113
22113

end0.0ms

sample596.0ms

Algorithm
intervals
Results
204.0ms1746×body1280valid
113.0ms1243×body640valid
95.0ms4069×body80valid
39.0ms611×body320valid
14.0ms331×body160valid

Profiling

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