Details

Time bar (total: 2.3s)

sample14.0ms

Algorithm
intervals
Results
7.0ms386×body80valid

simplify223.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0134
1354
2814
31274
41334
51494
62054
73964
813284
946624
1050014

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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×distribute-rgt-in add-cube-cbrt sub-neg *-un-lft-identity distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
7.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify146.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0171170
1807140
24462140
35001140

prune38.0ms

Filtered
28 candidates to 16 candidates (57.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New24428
Fresh000
Picked011
Done000
Total24529

Merged error: 0.0b

Counts
29 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.0b
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
0.2b
(* (* x x) 3.0)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×associate-*r*
13×add-exp-log
10×add-cbrt-cube
8×pow1 add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×prod-exp
5×unswap-sqr
4×unpow-prod-down cube-prod associate-*l* cbrt-unprod
3×pow-prod-down
2×sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 65
Calls
3 calls:
6.0ms
(* 2.0 (pow x 3))
6.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
6.0ms
(* (* x x) 3.0)

series150.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* 2.0 (pow x 3))
90.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
26.0ms
(* (* x x) 3.0)

simplify54.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0292325
11517282
25001277

prune101.0ms

Filtered
74 candidates to 45 candidates (60.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New72274
Fresh213
Picked101
Done011
Total75479

Merged error: 0.0b

Counts
79 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-exp-log associate-*r*
10×add-cbrt-cube
8×pow1 add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×associate-*l* prod-exp
4×unpow-prod-down cube-prod cbrt-unprod unswap-sqr
3×pow-prod-down
2×sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 64
Calls
3 calls:
6.0ms
(* 2.0 (pow x 3))
5.0ms
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
5.0ms
(* x (* x 3.0))

series151.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* 2.0 (pow x 3))
90.0ms
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
26.0ms
(* x (* x 3.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0279321
11424280
25001274

prune94.0ms

Filtered
73 candidates to 43 candidates (58.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New72173
Fresh022
Picked011
Done011
Total72577

Merged error: 0.0b

Counts
77 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.0b
(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (- (* 2.0 (pow x 3))))
0.2b
(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
0.2b
(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1
39×add-exp-log
27×pow-prod-down
24×prod-exp
23×add-cbrt-cube
22×cbrt-unprod
19×associate-*r*
17×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
8×add-log-exp
5×associate-*l* unswap-sqr
4×unpow-prod-down pow-plus cube-prod pow-prod-up
3×cbrt-prod *-commutative
2×pow2 sum-log pow-sqr sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
4 → 105
Calls
4 calls:
8.0ms
(* 2.0 (pow x 3))
14.0ms
(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (- (* 2.0 (pow x 3))))
10.0ms
(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
15.0ms
(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series390.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* 2.0 (pow x 3))
201.0ms
(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (- (* 2.0 (pow x 3))))
70.0ms
(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
85.0ms
(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify84.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0410756
12302558
25002518

prune177.0ms

Filtered
117 candidates to 63 candidates (53.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1161117
Fresh022
Picked011
Done022
Total1166122

Merged error: 0b

Counts
122 → 6

regimes42.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186
1206
2206

end0.0ms

sample343.0ms

Algorithm
intervals
Results
221.0ms11943×body80valid