Details

Time bar (total: 2.1s)

sample14.0ms

Algorithm
intervals
Results
7.0ms373×body80valid

simplify192.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

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: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* 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)))

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify139.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0171170
1807140
24462140
35001140

prune42.0ms

Filtered
28 candidates to 16 candidates (57.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New23528
Fresh000
Picked101
Done000
Total24529

Merged error: 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)

rewrite18.0ms

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))))
5.0ms
(* (* x x) 3.0)

series162.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* 2.0 (pow x 3))
95.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
27.0ms
(* (* x x) 3.0)

simplify54.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0292325
11517282
25001277

prune117.0ms

Filtered
74 candidates to 45 candidates (60.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New73174
Fresh134
Picked011
Done000
Total74579

Merged error: 0b

Counts
79 → 5

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
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×sub-neg associate-*r/ associate-*l*
5×add-cube-cbrt *-un-lft-identity
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×unswap-sqr
Counts
2 → 52
Calls
2 calls:
5.0ms
(* x (- 3.0 (* x 2.0)))
6.0ms
(* x (* x (- 3.0 (* x 2.0))))

series140.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(* x (- 3.0 (* x 2.0)))
71.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify34.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0192313
1954262
25002262

prune73.0ms

Filtered
58 candidates to 30 candidates (51.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New57158
Fresh123
Picked011
Done011
Total58563

Merged error: 0b

Counts
63 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
0.1b
(* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))
2.9b
(/ (* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))) (+ 3.0 (* x 2.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
10×pow1 distribute-rgt-in add-sqr-sqrt distribute-lft-in associate-*r/
8×add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×sub-neg associate-*l*
5×associate-*r*
4×pow-prod-down
3×cbrt-undiv flip3-- times-frac div-exp associate-/r* flip-- add-log-exp
2×associate-/r/ *-commutative associate-/l/
1×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 80
Calls
3 calls:
6.0ms
(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
7.0ms
(* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))
10.0ms
(/ (* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))) (+ 3.0 (* x 2.0)))

series351.0ms

Counts
3 → 9
Calls
3 calls:
100.0ms
(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
99.0ms
(* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))
152.0ms
(/ (* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))) (+ 3.0 (* x 2.0)))

simplify73.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0389909
12246760
25002760

prune139.0ms

Filtered
89 candidates to 54 candidates (60.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New88189
Fresh112
Picked101
Done022
Total90494

Merged error: 0b

Counts
94 → 4

regimes15.0ms

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
0176
1196
2196

end0.0ms

sample359.0ms

Algorithm
intervals
Results
228.0ms12052×body80valid