Details

Time bar (total: 2.1s)

analyze1.0ms

Algorithm
search

sample21.0ms

Algorithm
intervals
Results
7.0ms58×body1280valid
4.0ms49×body640valid
3.0ms122×body80valid
1.0ms19×body320valid
0.0ms8×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: 32.1b

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))

rewrite18.0ms

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))

series45.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cbrt (+ x 1.0))
22.0ms
(cbrt x)
16.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify119.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
0290405
1908390
24235335
35002332

prune95.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New51253
Fresh000
Picked011
Done000
Total51354

Merged error: 0.5b

Counts
54 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (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))
23.0ms
(cbrt x)
22.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify73.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune164.0ms

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

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New731285
Fresh101
Picked011
Done011
Total741488

Merged error: 0.2b

Counts
88 → 14

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))

rewrite8.0ms

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))

series115.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt x)
29.0ms
(cbrt (cbrt x))
30.0ms
(cbrt (cbrt x))
32.0ms
(cbrt (cbrt x))

simplify79.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
099309
1175287
2404247
31393237
45002237

prune163.0ms

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

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New61465
Fresh11011
Picked011
Done022
Total621779

Merged error: 0.2b

Counts
79 → 17

localize18.0ms

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))

rewrite8.0ms

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))

series114.0ms

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

prune106.0ms

Filtered
53 candidates to 65 candidates (-22.6%)
Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New63265
Fresh11213
Picked011
Done033
Total641882

Merged error: 0.2b

Counts
82 → 18

regimes184.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01713
12113
22113

end0.0ms

analyze1.0ms

Algorithm
search

sample557.0ms

Algorithm
intervals
Results
210.0ms1763×body1280valid
108.0ms1203×body640valid
93.0ms4080×body80valid
42.0ms624×body320valid
14.0ms330×body160valid

Profiling

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