Details

Time bar (total: 2.1s)

sample24.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.993896%

Results
5.0ms44×body1280valid
4.0ms41×body640valid
3.0ms148×body80valid
1.0ms15×body320valid
0.0ms8×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.8b

Counts
2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.2b
(- (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 → 44
Calls
3 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
7.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series48.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cbrt (+ x 1.0))
22.0ms
(cbrt x)
20.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify119.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 3 (114.0ms)

IterNodesCost
0290405
1908390
24235335
35002332

prune91.0ms

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: 0.4b

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)

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)

series89.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt x) (cbrt x))
23.0ms
(cbrt x)
21.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify74.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune151.0ms

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

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New76985
Fresh033
Picked011
Done000
Total761389

Merged error: 0.2b

Counts
89 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series86.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
21.0ms
(cbrt x)
23.0ms
(cbrt x)

simplify124.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (23.0ms)

IterNodesCost
059204
1101188
2205148
3559144
42708128
55002128

prune136.0ms

Filtered
44 candidates to 56 candidates (-27.3%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New51556
Fresh01111
Picked101
Done011
Total521769

Merged error: 0.2b

Counts
69 → 17

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series86.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
23.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify124.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (23.0ms)

IterNodesCost
059204
1101188
2205148
3559144
42708128
55002128

prune86.0ms

Filtered
44 candidates to 56 candidates (-27.3%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New55156
Fresh21315
Picked011
Done011
Total571673

Merged error: 0.2b

Counts
73 → 16

regimes155.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01713
12113
22113

end0.0ms

sample602.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.993896%

Results
201.0ms1760×body1280valid
116.0ms1293×body640valid
98.0ms4081×body80valid
40.0ms581×body320valid
12.0ms285×body160valid

Profiling

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