Details

Time bar (total: 2.1s)

analyze1.0ms

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

sample21.0ms

Algorithm
intervals
Results
7.0ms56×body1280valid
4.0ms39×body640valid
3.0ms130×body80valid
2.0ms23×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: 29.6b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.5b
(cbrt x)
1.7b
(- (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))

simplify28.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
04993483
14993483

prune88.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New46652
Fresh000
Picked101
Done000
Total47653

Merged error: 0.2b

Counts
53 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(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)

series95.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (cbrt x) (cbrt x))
22.0ms
(cbrt x)
22.0ms
(cbrt x)
24.0ms
(cbrt x)

simplify37.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05084341

prune129.0ms

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

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New78785
Fresh055
Picked011
Done000
Total781391

Merged error: 0.1b

Counts
91 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.9b
(pow (cbrt (cbrt x)) 4)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
22×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 → 58
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
4.0ms
(pow (cbrt (cbrt x)) 4)

series133.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
32.0ms
(cbrt (cbrt x))
35.0ms
(cbrt (* (cbrt x) (cbrt x)))
43.0ms
(pow (cbrt (cbrt x)) 4)

simplify53.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04925378
14925378

prune151.0ms

Filtered
49 candidates to 70 candidates (-42.9%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New67370
Fresh01111
Picked011
Done011
Total671683

Merged error: 0.1b

Counts
83 → 16

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.9b
(pow (cbrt (cbrt x)) 4)
0.9b
(pow (cbrt (cbrt x)) 4)
0.9b
(pow (cbrt (cbrt x)) 4)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
27×unpow-prod-down
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow-unpow
7×pow1 add-exp-log
6×pow-pow
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-to-exp pow-exp sqr-pow
Counts
4 → 81
Calls
4 calls:
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
4.0ms
(pow (cbrt (cbrt x)) 4)
4.0ms
(pow (cbrt (cbrt x)) 4)
4.0ms
(pow (cbrt (cbrt x)) 4)

series164.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(cbrt (* (cbrt x) (cbrt x)))
43.0ms
(pow (cbrt (cbrt x)) 4)
41.0ms
(pow (cbrt (cbrt x)) 4)
44.0ms
(pow (cbrt (cbrt x)) 4)

simplify70.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
05000678

prune238.0ms

Filtered
68 candidates to 93 candidates (-36.8%)
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New90393
Fresh11213
Picked101
Done022
Total9217109

Merged error: 0.1b

Counts
109 → 17

regimes197.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01420
11420

end0.0ms

analyze1.0ms

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

sample564.0ms

Algorithm
intervals
Results
203.0ms1702×body1280valid
115.0ms1246×body640valid
97.0ms4075×body80valid
42.0ms636×body320valid
17.0ms341×body160valid

Profiling

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