Details

Time bar (total: 3.8s)

sample46.0ms

Algorithm
intervals
Results
16.0ms66×body1280valid
8.0ms45×body640valid
6.0ms123×body80valid
2.0ms15×body320valid
1.0ms7×body160valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
0717
1717

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.9b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
1.8b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite26.0ms

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:
5.0ms
(cbrt (+ x 1.0))
2.0ms
(cbrt x)
17.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series82.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(cbrt (+ x 1.0))
43.0ms
(cbrt x)
27.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify128.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (117.0ms)

IterNodesCost
04919489
14919489

prune178.0ms

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: 0.3b

Counts
54 → 5

localize22.0ms

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)

rewrite23.0ms

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:
11.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
3.0ms
(cbrt x)

series180.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (cbrt x) (cbrt x))
43.0ms
(cbrt x)
46.0ms
(cbrt x)
42.0ms
(cbrt x)

simplify69.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
05165356

prune231.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New80585
Fresh044
Picked101
Done000
Total81990

Merged error: 0.2b

Counts
90 → 9

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
24×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 → 50
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
3.0ms
(cbrt (cbrt x))
3.0ms
(cbrt (cbrt x))

series206.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(cbrt x)
42.0ms
(cbrt x)
61.0ms
(cbrt (cbrt x))
59.0ms
(cbrt (cbrt x))

simplify68.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04926282
14926282

prune315.0ms

Filtered
46 candidates to 62 candidates (-34.8%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New55762
Fresh088
Picked101
Done000
Total561571

Merged error: 0.1b

Counts
71 → 15

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
1.1b
(pow (cbrt (cbrt x)) 5)

rewrite19.0ms

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:
2.0ms
(cbrt x)
4.0ms
(cbrt (cbrt x))
3.0ms
(cbrt (cbrt x))
7.0ms
(pow (cbrt (cbrt x)) 5)

series242.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt x)
60.0ms
(cbrt (cbrt x))
58.0ms
(cbrt (cbrt x))
92.0ms
(pow (cbrt (cbrt x)) 5)

simplify78.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04831437
14831437

prune244.0ms

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

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New70575
Fresh31114
Picked011
Done000
Total731790

Merged error: 0.1b

Counts
90 → 17

regimes339.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01824
11824

end0.0ms

sample1.2s

Algorithm
intervals
Results
403.0ms1667×body1280valid
234.0ms1214×body640valid
190.0ms4184×body80valid
84.0ms632×body320valid
26.0ms303×body160valid

Profiling

Loading profile data...