Details

Time bar (total: 22.3s)

sample34.0ms

Algorithm
intervals
Results
18.0ms380×body80valid

simplify2.9s

Counts
1 → 1
Iterations
IterNodes
done5001
111138
10457
9235
8169
7141
6124
5116
4109
380
234
113
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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:
25.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series122.0ms

Counts
1 → 3
Calls
1 calls:
122.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify2.9s

Counts
28 → 28
Iterations
IterNodes
done5000
32983
2627
1170
057

prune103.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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))))

rewrite77.0ms

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:
26.0ms
(* x (- 3.0 (* x 2.0)))
47.0ms
(* x (* x (- 3.0 (* x 2.0))))

series251.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(* x (- 3.0 (* x 2.0)))
144.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify3.5s

Counts
58 → 58
Iterations
IterNodes
done5002
34554
2840
1228
079

prune204.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite308.0ms

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:
221.0ms
(* (* (* x (cbrt (- 3.0 (* x 2.0)))) (* x (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))
19.0ms
(* x (cbrt (- 3.0 (* x 2.0))))
14.0ms
(* x (cbrt (- 3.0 (* x 2.0))))
48.0ms
(* (* x (cbrt (- 3.0 (* x 2.0)))) (* x (cbrt (- 3.0 (* x 2.0)))))

series983.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(* (* (* x (cbrt (- 3.0 (* x 2.0)))) (* x (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))
293.0ms
(* x (cbrt (- 3.0 (* x 2.0))))
275.0ms
(* x (cbrt (- 3.0 (* x 2.0))))
294.0ms
(* (* x (cbrt (- 3.0 (* x 2.0)))) (* x (cbrt (- 3.0 (* x 2.0)))))

simplify3.0s

Counts
160 → 160
Iterations
IterNodes
done5007
22844
1730
0266

prune780.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (* 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))))
0.3b
(* x (cbrt (- 3.0 (* x 2.0))))
0.3b
(* (* 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 3.0) (* (* x 2.0) (* x 2.0))))) (cbrt (+ 3.0 (* x 2.0))))

rewrite298.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
36×cbrt-div
32×add-cbrt-cube
31×prod-exp cbrt-unprod
26×associate-*r/
24×associate-*r*
20×add-sqr-sqrt pow1
18×frac-times
16×cbrt-prod *-un-lft-identity flip3-- add-cube-cbrt flip--
13×associate-*l/
12×times-frac
10×cbrt-undiv div-exp pow-prod-down
6×associate-/r*
5×associate-*l*
4×associate-/r/ add-log-exp
3×*-commutative
2×flip3-+ flip-+ div-inv unswap-sqr associate-/l/
1×clear-num frac-2neg associate-/l*
Counts
4 → 144
Calls
4 calls:
205.0ms
(* (* (* 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))))
18.0ms
(* x (cbrt (- 3.0 (* x 2.0))))
50.0ms
(* (* 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)))))
20.0ms
(/ (* x (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))) (cbrt (+ 3.0 (* x 2.0))))

series1.2s

Counts
4 → 12
Calls
4 calls:
301.0ms
(* (* (* 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))))
284.0ms
(* x (cbrt (- 3.0 (* x 2.0))))
331.0ms
(* (* 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)))))
265.0ms
(/ (* x (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))) (cbrt (+ 3.0 (* x 2.0))))

simplify3.5s

Counts
156 → 156
Iterations
IterNodes
done5006
23981
11063
0384

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample786.0ms

Algorithm
intervals
Results
575.0ms12056×body80valid