Details

Time bar (total: 1.7s)

analyze9.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25%13
74.9%0%25%14

sample24.0ms

Algorithm
intervals
Results
8.0ms74×body1280valid
4.0ms53×body640valid
2.0ms87×body80valid
2.0ms27×body320valid
1.0ms15×body160valid

simplify612.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
02049
12049

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 39.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) (+ x 1.0))
4.3b
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
9×pow1 add-sqr-sqrt
6×add-cube-cbrt flip3-+ swap-sqr flip-+ distribute-lft-out
4×add-exp-log frac-times associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/ associate--l+
1×pow2 sub-neg flip3-- pow-plus diff-log pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up flip-- cbrt-unprod difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
8.0ms
(* (+ x 1.0) (+ x 1.0))
10.0ms
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series16.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(* (+ x 1.0) (+ x 1.0))
14.0ms
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify38.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05086499

prune81.0ms

Filtered
36 candidates to 60 candidates (-66.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New58260
Fresh000
Picked101
Done000
Total59261

Merged error: 0.0b

Counts
61 → 2

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (+ x 2.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
6.0ms
(* x (+ x 2.0))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* x (+ x 2.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04944163
14944163

prune24.0ms

Filtered
16 candidates to 26 candidates (-62.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New24226
Fresh101
Picked011
Done000
Total25328

Merged error: 0b

Counts
28 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x x) (* x 2.0))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
3.0ms
(+ (* x x) (* x 2.0))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(+ (* x x) (* x 2.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05014112

prune17.0ms

Filtered
9 candidates to 15 candidates (-66.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New15015
Fresh011
Picked011
Done011
Total15318

Merged error: 0b

Counts
18 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ x 2.0))
0.1b
(pow (* x (+ x 2.0)) 3)
41.2b
(cbrt (pow (* x (+ x 2.0)) 3))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity
8×pow1 add-exp-log cbrt-prod add-cbrt-cube
7×add-cube-cbrt
6×associate-*r/
4×cube-div associate-*r*
3×pow-unpow flip3-+ associate-*l* flip-+ add-log-exp
2×cube-mult unpow-prod-down cbrt-div pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
1×distribute-rgt-in pow-to-exp distribute-lft-in pow1/3 *-commutative rem-cbrt-cube distribute-lft-out unswap-sqr
Counts
3 → 66
Calls
3 calls:
5.0ms
(* x (+ x 2.0))
5.0ms
(pow (* x (+ x 2.0)) 3)
2.0ms
(cbrt (pow (* x (+ x 2.0)) 3))

series15.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* x (+ x 2.0))
3.0ms
(pow (* x (+ x 2.0)) 3)
7.0ms
(cbrt (pow (* x (+ x 2.0)) 3))

simplify41.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05508575

prune74.0ms

Filtered
48 candidates to 75 candidates (-56.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New75075
Fresh000
Picked011
Done022
Total75378

Merged error: 0b

Counts
78 → 3

regimes26.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
165

end0.0ms

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25%13
74.9%0%25%14

sample558.0ms

Algorithm
intervals
Results
217.0ms2252×body1280valid
129.0ms1691×body640valid
57.0ms2778×body80valid
48.0ms859×body320valid
16.0ms420×body160valid
0.0ms1×body80invalid

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