Details

Time bar (total: 24.7s)

sample18.0ms

Algorithm
intervals
Results
9.0ms403×body80valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07163
113163
234163
380163
4109163
5116163
6124163
7141163
8169163
9235163
10457163
111138163
done5001163

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg *-un-lft-identity distribute-lft-in associate-*r/ add-cube-cbrt
1×flip3-- associate-*l* *-commutative flip-- add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
43.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify2.8s

Counts
28 → 28
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
0577674
11706166
26276086
329835886
done50005886

prune80.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-cbrt-cube add-exp-log
7×add-sqr-sqrt
6×sub-neg associate-*l* associate-*r/
5×*-un-lft-identity add-cube-cbrt
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:
14.0ms
(* x (- 3.0 (* x 2.0)))
25.0ms
(* x (* x (- 3.0 (* x 2.0))))

series189.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(* x (- 3.0 (* x 2.0)))
83.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify4.0s

Counts
58 → 58
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
07914061
122811749
284011749
3455411389
done500211389

prune162.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (* x (cbrt (- 3.0 (* x 2.0)))) (* x (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))
0.3b
(* (* x (cbrt (- 3.0 (* x 2.0)))) (* x (cbrt (- 3.0 (* x 2.0)))))
0.4b
(* x (cbrt (- 3.0 (* x 2.0))))
0.4b
(* x (cbrt (- 3.0 (* x 2.0))))

rewrite269.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
65×pow1
62×associate-*r/
38×add-exp-log
35×flip3-- flip--
32×frac-times pow-prod-down
23×add-cbrt-cube prod-exp cbrt-unprod
22×add-sqr-sqrt
19×associate-*r*
16×associate-*l/
12×cbrt-prod *-un-lft-identity add-cube-cbrt
8×associate-*l*
6×unswap-sqr
4×pow-sqr *-commutative pow-prod-up add-log-exp
2×pow-plus
1×pow2 swap-sqr
Counts
4 → 148
Calls
4 calls:
187.0ms
(* (* (* x (cbrt (- 3.0 (* x 2.0)))) (* x (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))
43.0ms
(* (* x (cbrt (- 3.0 (* x 2.0)))) (* x (cbrt (- 3.0 (* x 2.0)))))
13.0ms
(* x (cbrt (- 3.0 (* x 2.0))))
13.0ms
(* x (cbrt (- 3.0 (* x 2.0))))

series840.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* (* (* x (cbrt (- 3.0 (* x 2.0)))) (* x (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))
238.0ms
(* (* x (cbrt (- 3.0 (* x 2.0)))) (* x (cbrt (- 3.0 (* x 2.0)))))
221.0ms
(* x (cbrt (- 3.0 (* x 2.0))))
286.0ms
(* x (cbrt (- 3.0 (* x 2.0))))

simplify4.0s

Counts
160 → 160
Iterations

Useful iterations: done (3.9s)

IterNodesCost
026680362
174564944
2288564333
done500063891

prune658.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ 3.0 (* x 2.0)))
0.2b
(* (* (* x (cbrt (- 3.0 (* x 2.0)))) (* x (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))) (cbrt (- 3.0 (* x 2.0))))
0.4b
(* x (cbrt (- 3.0 (* x 2.0))))
1.8b
(/ (* (* (* x (cbrt (- 3.0 (* x 2.0)))) (* x (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))) (cbrt (- 3.0 (* x 2.0)))) (cbrt (+ 3.0 (* x 2.0))))

rewrite557.0ms

Algorithm
rewrite-expression-head
Rules
114×cbrt-div
90×associate-*r/
56×frac-times
55×flip3-- flip--
49×add-exp-log
28×associate-*l/
27×prod-exp cbrt-unprod
26×associate-/l/
24×pow1 add-cbrt-cube
18×add-sqr-sqrt
16×cbrt-prod
14×*-un-lft-identity pow-prod-down add-cube-cbrt
12×associate-*r*
6×cbrt-undiv associate-/r* times-frac div-exp
4×associate-*l* add-log-exp
2×flip3-+ associate-/r/ *-commutative flip-+ unswap-sqr
1×clear-num frac-2neg pow1/3 div-inv associate-/l*
Counts
4 → 156
Calls
4 calls:
3.0ms
(cbrt (+ 3.0 (* x 2.0)))
265.0ms
(* (* (* x (cbrt (- 3.0 (* x 2.0)))) (* x (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))) (cbrt (- 3.0 (* x 2.0))))
21.0ms
(* x (cbrt (- 3.0 (* x 2.0))))
254.0ms
(/ (* (* (* x (cbrt (- 3.0 (* x 2.0)))) (* x (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))) (cbrt (- 3.0 (* x 2.0)))) (cbrt (+ 3.0 (* x 2.0))))

series818.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(cbrt (+ 3.0 (* x 2.0)))
186.0ms
(* (* (* x (cbrt (- 3.0 (* x 2.0)))) (* x (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))) (cbrt (- 3.0 (* x 2.0))))
195.0ms
(* x (cbrt (- 3.0 (* x 2.0))))
318.0ms
(/ (* (* (* x (cbrt (- 3.0 (* x 2.0)))) (* x (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))) (cbrt (- 3.0 (* x 2.0)))) (cbrt (+ 3.0 (* x 2.0))))

simplify4.5s

Counts
168 → 168
Iterations

Useful iterations: done (4.5s)

IterNodesCost
0443121904
11175104411
24582103069
done5017102909

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07163
110163
done10163

end0.0ms

sample662.0ms

Algorithm
intervals
Results
482.0ms12013×body80valid