Details

Time bar (total: 1.8s)

analyze5.0ms

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

sample21.0ms

Algorithm
intervals
Results
6.0ms54×body1280valid
4.0ms43×body640valid
3.0ms124×body80valid
2.0ms24×body320valid
0.0ms11×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0717
1717

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.6b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.7b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite13.0ms

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)
8.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series44.0ms

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

simplify65.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04919486
14919486

prune88.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New47552
Fresh000
Picked101
Done000
Total48553

Merged error: 0.2b

Counts
53 → 5

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)

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)

series93.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt x) (cbrt x))
22.0ms
(cbrt x)
22.0ms
(cbrt x)
24.0ms
(cbrt x)

simplify48.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05165356

prune136.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New79685
Fresh134
Picked101
Done000
Total81990

Merged error: 0.2b

Counts
90 → 9

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)

series89.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
22.0ms
(cbrt x)
21.0ms
(cbrt x)
24.0ms
(cbrt x)

simplify45.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05270200

prune114.0ms

Filtered
40 candidates to 56 candidates (-40.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New54256
Fresh088
Picked011
Done000
Total541165

Merged error: 0.1b

Counts
65 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×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 → 57
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(pow (cbrt (cbrt x)) 5)

series112.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
22.0ms
(cbrt x)
23.0ms
(cbrt x)
45.0ms
(pow (cbrt (cbrt x)) 5)

simplify41.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05305355

prune110.0ms

Filtered
48 candidates to 69 candidates (-43.8%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New63669
Fresh279
Picked101
Done011
Total661480

Merged error: 0.1b

Counts
80 → 14

regimes145.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02027
12027

end0.0ms

sample551.0ms

Algorithm
intervals
Results
198.0ms1683×body1280valid
109.0ms1209×body640valid
94.0ms4104×body80valid
44.0ms651×body320valid
17.0ms353×body160valid

Profiling

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