Details

Time bar (total: 2.6s)

sample24.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
8.0ms69×body1280valid
3.0ms129×body80valid
3.0ms35×body640valid
1.0ms14×body320valid
0.0ms9×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: 30.0b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
1.9b
(- (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))

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))

simplify121.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 3 (115.0ms)

IterNodesCost
0290405
1908390
24235335
35002332

prune110.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New48553
Fresh000
Picked101
Done000
Total49554

Merged error: 0.5b

Counts
54 → 5

localize12.0ms

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:
6.0ms
(* (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))
22.0ms
(cbrt x)
22.0ms
(cbrt x)
24.0ms
(cbrt x)

simplify73.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune173.0ms

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

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New731285
Fresh134
Picked011
Done000
Total741690

Merged error: 0.3b

Counts
90 → 16

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×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 → 45
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
2.0ms
(cbrt (cbrt x))

series110.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
21.0ms
(cbrt x)
37.0ms
(cbrt (* (cbrt x) (cbrt x)))
30.0ms
(cbrt (cbrt x))

simplify206.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
0147266
1289242
2847200
34353187
45001187

prune177.0ms

Filtered
45 candidates to 57 candidates (-26.7%)
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New49857
Fresh21214
Picked101
Done011
Total522173

Merged error: 0.2b

Counts
73 → 21

localize26.0ms

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 (cbrt x)) (cbrt (cbrt x))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
28×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 → 51
Calls
4 calls:
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
5.0ms
(cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x))))

series127.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (cbrt x))
32.0ms
(cbrt (cbrt x))
29.0ms
(cbrt (cbrt x))
35.0ms
(cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x))))

simplify193.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
0127358
1249326
2778284
34017274
45002274

prune137.0ms

Filtered
55 candidates to 63 candidates (-14.5%)
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New57663
Fresh51419
Picked011
Done101
Total632184

Merged error: 0.1b

Counts
84 → 21

regimes257.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02827
13227
23227

end0.0ms

sample590.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
193.0ms1732×body1280valid
114.0ms1309×body640valid
96.0ms4043×body80valid
45.0ms632×body320valid
12.0ms284×body160valid

Profiling

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