Details

Time bar (total: 4.6s)

sample19.0ms

Algorithm
intervals
Results
8.0ms318×body80valid
1.0ms9×body1280valid
1.0ms10×body640valid
0.0ms6×body160valid
0.0ms4×body320valid

simplify55.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1149
2319
3689
41109
51269
done1269

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 2.0 (* x 3.0))
0.1b
(* 3.0 (- 2.0 (* x 3.0)))
0.1b
(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*r*
5×add-log-exp
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-*l/ *-commutative
1×diff-log unswap-sqr
Counts
3 → 56
Calls
3 calls:
3.0ms
(- 2.0 (* x 3.0))
6.0ms
(* 3.0 (- 2.0 (* x 3.0)))
7.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

series19.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(- 2.0 (* x 3.0))
5.0ms
(* 3.0 (- 2.0 (* x 3.0)))
7.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify946.0ms

Counts
65 → 65
Iterations

Useful iterations: done (944.0ms)

IterNodesCost
090686
1232673
2808581
33158574
done5000573

prune105.0ms

Filtered
41 candidates to 65 candidates (-58.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New541165
Fresh000
Picked101
Done000
Total551166

Merged error: 0.0b

Counts
66 → 11

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 6.0 (* 9.0 x))
0.1b
(* x (- 6.0 (* 9.0 x)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(- 6.0 (* 9.0 x))
6.0ms
(* x (- 6.0 (* 9.0 x)))

series10.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- 6.0 (* 9.0 x))
6.0ms
(* x (- 6.0 (* 9.0 x)))

simplify1.2s

Counts
42 → 42
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
059405
1143397
2441353
31298353
43939353
done5001353

prune70.0ms

Filtered
26 candidates to 42 candidates (-61.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New36642
Fresh7310
Picked101
Done000
Total44953

Merged error: 0.0b

Counts
53 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0))))
0.1b
(* (* 3.0 (/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0)))) x)
0.2b
(/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0)))
0.4b
(* (* x 3.0) (* x 3.0))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1
32×add-exp-log add-cbrt-cube
28×add-sqr-sqrt
25×times-frac
23×add-cube-cbrt *-un-lft-identity
22×associate-*r*
21×pow-prod-down
15×prod-exp cbrt-unprod
7×difference-of-squares
5×associate-*l*
4×associate-/r/ pow-sqr pow-prod-up associate-/l* add-log-exp
3×cbrt-undiv div-exp associate-/r* *-commutative
2×flip3-+ pow-plus associate-*r/ flip-+ div-inv associate-/l/ unswap-sqr
1×pow2 flip3-- frac-2neg div-sub swap-sqr associate-*l/ clear-num flip--
Counts
4 → 128
Calls
4 calls:
11.0ms
(* 3.0 (/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0))))
12.0ms
(* (* 3.0 (/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0)))) x)
9.0ms
(/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0)))
8.0ms
(* (* x 3.0) (* x 3.0))

series42.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* 3.0 (/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0))))
14.0ms
(* (* 3.0 (/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0)))) x)
13.0ms
(/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0)))
3.0ms
(* (* x 3.0) (* x 3.0))

simplify543.0ms

Counts
140 → 140
Iterations

Useful iterations: 2 (159.0ms)

IterNodesCost
01762854
14942678
220642270
done50002270

prune218.0ms

Filtered
87 candidates to 140 candidates (-60.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1391140
Fresh268
Picked011
Done000
Total1418149

Merged error: 0.0b

Counts
149 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow x 2)
0.0b
(- (* 6.0 x) (* 9.0 (pow x 2)))
0.2b
(* 9.0 (pow x 2))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
9×add-exp-log
8×add-cube-cbrt *-un-lft-identity associate-*r*
7×unpow-prod-down
5×add-cbrt-cube add-log-exp
4×pow1 unswap-sqr
3×pow-unpow associate-*l* prod-exp unpow2 sqr-pow
2×pow-to-exp pow-exp
1×sub-neg flip3-- pow-pow diff-log *-commutative flip-- cbrt-unprod
Counts
3 → 57
Calls
3 calls:
2.0ms
(pow x 2)
4.0ms
(- (* 6.0 x) (* 9.0 (pow x 2)))
6.0ms
(* 9.0 (pow x 2))

series13.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(pow x 2)
7.0ms
(- (* 6.0 x) (* 9.0 (pow x 2)))
3.0ms
(* 9.0 (pow x 2))

simplify608.0ms

Counts
66 → 66
Iterations

Useful iterations: 3 (167.0ms)

IterNodesCost
083561
1202495
2585440
31801406
done5000406

prune72.0ms

Filtered
40 candidates to 66 candidates (-65.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New65166
Fresh156
Picked011
Done011
Total66874

Merged error: 0.0b

Counts
74 → 8

regimes44.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
done109

end0.0ms

sample544.0ms

Algorithm
intervals
Results
267.0ms9845×body80valid
41.0ms355×body1280valid
27.0ms290×body640valid
11.0ms149×body320valid
4.0ms75×body160valid

Profiling

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