Details

Time bar (total: 16.9s)

sample28.0ms

Algorithm
intervals
Results
14.0ms388×body80valid

simplify5.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1139
2359
3809
41129
51179
61349
71779
83139
97719
1025119
done50009

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

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:
34.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify2.1s

Counts
28 → 28
Iterations

Useful iterations: 2 (115.0ms)

IterNodesCost
057367
1161352
2594294
32367294
done5002294

prune54.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)

rewrite59.0ms

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:
18.0ms
(* 2.0 (pow x 3))
20.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
20.0ms
(* (* x x) 3.0)

series223.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(* 2.0 (pow x 3))
131.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
28.0ms
(* (* x x) 3.0)

simplify1.4s

Counts
74 → 74
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0110718
1275620
21029568
done5001536

prune156.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite56.0ms

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:
15.0ms
(* 2.0 (pow x 3))
18.0ms
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
21.0ms
(* x (* x 3.0))

series233.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(* 2.0 (pow x 3))
136.0ms
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
38.0ms
(* x (* x 3.0))

simplify1.8s

Counts
73 → 73
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0105707
1270621
2996563
done5001529

prune180.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* x x) 3.0)) (cbrt (* (* x x) 3.0)))
21.6b
(cbrt (* (* x x) 3.0))
21.6b
(cbrt (* (* x x) 3.0))
21.6b
(cbrt (* (* x x) 3.0))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
53.0ms
(* (cbrt (* (* x x) 3.0)) (cbrt (* (* x x) 3.0)))
33.0ms
(cbrt (* (* x x) 3.0))
14.0ms
(cbrt (* (* x x) 3.0))
14.0ms
(cbrt (* (* x x) 3.0))

series1.4s

Counts
4 → 12
Calls
4 calls:
394.0ms
(* (cbrt (* (* x x) 3.0)) (cbrt (* (* x x) 3.0)))
364.0ms
(cbrt (* (* x x) 3.0))
328.0ms
(cbrt (* (* x x) 3.0))
285.0ms
(cbrt (* (* x x) 3.0))

simplify2.0s

Counts
70 → 70
Iterations

Useful iterations: done (2.0s)

IterNodesCost
050776
1102680
2279590
3676527
42061519
done5000488

prune266.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes57.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11812
22012
done2012

end0.0ms

sample1.3s

Algorithm
intervals
Results
998.0ms12001×body80valid