Details

Time bar (total: 1.3s)

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
62.5%6.2%31.3%6
65.6%3.1%31.3%7
65.6%1.6%32.8%8
66.4%0.8%32.8%9
66.4%0.4%33.2%10
66.6%0.2%33.2%11
66.6%0.1%33.3%12
66.6%0%33.4%13
66.6%0%33.4%14

sample11.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
049759
149759

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- 3.0 (* x 2.0)))
0.2b
(* x (* x (- 3.0 (* x 2.0))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×sub-neg associate-*r/ associate-*l*
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×unswap-sqr
Counts
2 → 46
Calls
2 calls:
5.0ms
(* x (- 3.0 (* x 2.0)))
6.0ms
(* x (* x (- 3.0 (* x 2.0))))

series12.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (- 3.0 (* x 2.0)))
7.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify38.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05524490

prune64.0ms

Filtered
29 candidates to 52 candidates (-79.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New47552
Fresh011
Picked011
Done000
Total47754

Merged error: 0b

Counts
54 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (neg (pow x 3)))
0.0b
(+ (* x (* x 3.0)) (* 2.0 (neg (pow x 3))))
0.1b
(* x (* x 3.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
29×associate-*r*
14×add-sqr-sqrt
12×distribute-lft-neg-in add-cube-cbrt distribute-rgt-neg-in *-un-lft-identity
10×pow1 add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod associate-*l*
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×cube-mult unpow3 *-commutative distribute-rgt-neg-out sqr-pow
1×+-commutative neg-mul-1 flip3-+ unsub-neg sum-log flip-+ unswap-sqr
Counts
3 → 74
Calls
3 calls:
11.0ms
(* 2.0 (neg (pow x 3)))
5.0ms
(+ (* x (* x 3.0)) (* 2.0 (neg (pow x 3))))
4.0ms
(* x (* x 3.0))

series16.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* 2.0 (neg (pow x 3)))
9.0ms
(+ (* x (* x 3.0)) (* 2.0 (neg (pow x 3))))
3.0ms
(* x (* x 3.0))

simplify69.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04948563
14948563

prune101.0ms

Filtered
54 candidates to 83 candidates (-53.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh055
Picked011
Done011
Total83790

Merged error: 0b

Counts
90 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) (- 3.0 (* x 2.0)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt sub-neg *-un-lft-identity associate-*r/
1×distribute-rgt-in flip3-- distribute-lft-in associate-*l* *-commutative flip-- add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
7.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04915272
14915272

prune31.0ms

Filtered
13 candidates to 26 candidates (-100.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New25126
Fresh134
Picked011
Done022
Total26733

Merged error: 0b

Counts
33 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 3.0 (* x 2.0)))
0.2b
(cbrt (- 3.0 (* x 2.0)))
0.2b
(cbrt (- 3.0 (* x 2.0)))
0.2b
(* (* x (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))) (cbrt (- 3.0 (* x 2.0))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
56×associate-*r/
30×flip3-- flip--
28×frac-times
18×pow1 add-exp-log
14×associate-*l/
12×cbrt-prod add-cbrt-cube
10×pow-prod-down prod-exp cbrt-unprod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 92
Calls
4 calls:
2.0ms
(cbrt (- 3.0 (* x 2.0)))
2.0ms
(cbrt (- 3.0 (* x 2.0)))
2.0ms
(cbrt (- 3.0 (* x 2.0)))
18.0ms
(* (* x (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))) (cbrt (- 3.0 (* x 2.0))))

series29.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(cbrt (- 3.0 (* x 2.0)))
7.0ms
(cbrt (- 3.0 (* x 2.0)))
7.0ms
(cbrt (- 3.0 (* x 2.0)))
7.0ms
(* (* x (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))) (cbrt (- 3.0 (* x 2.0))))

simplify60.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050212294

prune191.0ms

Filtered
72 candidates to 104 candidates (-44.4%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1040104
Fresh033
Picked011
Done033
Total1047111

Merged error: 0b

Counts
111 → 7

regimes80.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03811
13811

end0.0ms

sample281.0ms

Algorithm
intervals
Results
190.0ms8000×body80valid
0.0ms2×body80invalid

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