Details

Time bar (total: 1.8s)

analyze1.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
100%0%0%1

sample20.0ms

Algorithm
intervals
Results
6.0ms57×body1280valid
3.0ms136×body80valid
3.0ms36×body640valid
1.0ms19×body320valid
0.0ms8×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.4b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
1.7b
(- (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 → 43
Calls
3 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
7.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series40.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cbrt (+ x 1.0))
21.0ms
(cbrt x)
13.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify29.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
04993483
14993483

prune82.0ms

Filtered
41 candidates to 52 candidates (-26.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New48452
Fresh000
Picked101
Done000
Total49453

Merged error: 0.2b

Counts
53 → 4

localize10.0ms

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))
20.0ms
(cbrt x)
21.0ms
(cbrt x)
23.0ms
(cbrt x)

simplify38.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05084341

prune116.0ms

Filtered
50 candidates to 85 candidates (-70.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New79685
Fresh033
Picked101
Done000
Total80989

Merged error: 0.2b

Counts
89 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
1.0b
(pow (cbrt (cbrt x)) 5)

rewrite9.0ms

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:
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
3.0ms
(pow (cbrt (cbrt x)) 5)

series124.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
29.0ms
(cbrt (cbrt x))
30.0ms
(cbrt (cbrt x))
44.0ms
(pow (cbrt (cbrt x)) 5)

simplify53.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05064437

prune172.0ms

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

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New68775
Fresh088
Picked101
Done000
Total691584

Merged error: 0.1b

Counts
84 → 15

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
1.0b
(pow (cbrt (cbrt x)) 5)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
14×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 → 66
Calls
4 calls:
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
3.0ms
(pow (cbrt (cbrt x)) 5)

series133.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (cbrt x))
28.0ms
(cbrt (cbrt x))
29.0ms
(cbrt (cbrt x))
46.0ms
(pow (cbrt (cbrt x)) 5)

simplify36.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05110494

prune163.0ms

Filtered
60 candidates to 78 candidates (-30.0%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New72678
Fresh21214
Picked101
Done000
Total751893

Merged error: 0.1b

Counts
93 → 18

regimes97.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02743
12743

end0.0ms

analyze1.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
100%0%0%1

sample546.0ms

Algorithm
intervals
Results
195.0ms1701×body1280valid
115.0ms1275×body640valid
91.0ms4084×body80valid
42.0ms634×body320valid
13.0ms306×body160valid

Profiling

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