Details

Time bar (total: 16.2s)

sample38.0ms

Algorithm
intervals
Results
21.0ms352×body80valid

simplify4.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12111
26511
317911
450811
5124011
6339711
done500111

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
5.4b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×prod-diff
16×add-exp-log add-cube-cbrt add-cbrt-cube
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
8×frac-times associate-/l/
5×associate-*r* associate-*l* prod-exp cbrt-unprod
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/
2×expm1-log1p-u sub-neg log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 85
Calls
2 calls:
67.0ms
(* (- 1.0 x) (- 3.0 x))
80.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series108.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* (- 1.0 x) (- 3.0 x))
70.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.7s

Counts
91 → 91
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01881602
14911390
222331157
done50021133

prune331.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.1b
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
50×*-un-lft-identity
49×times-frac
30×add-cube-cbrt
19×associate-*r* associate-*l*
16×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
5×cbrt-undiv div-exp associate-/l*
4×pow1 prod-exp cbrt-unprod unswap-sqr
3×associate-/r* div-inv
2×expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×frac-times flip3-- frac-2neg div-sub associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 104
Calls
2 calls:
23.0ms
(/ (- 1.0 x) y)
86.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series135.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- 1.0 x) y)
85.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.6s

Counts
110 → 110
Iterations

Useful iterations: 2 (408.0ms)

IterNodesCost
01751453
14871402
216481252
done50001252

prune444.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ (- 3.0 x) 3.0) y)
0.1b
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
222×times-frac
159×add-sqr-sqrt
150×*-un-lft-identity
106×add-cube-cbrt
61×associate-*r*
22×distribute-lft-out-- difference-of-squares
19×associate-/l*
16×add-exp-log add-cbrt-cube
9×div-inv
6×cbrt-undiv div-exp
5×associate-*l*
4×pow1
3×prod-exp associate-/r* cbrt-unprod unswap-sqr
2×expm1-log1p-u frac-times flip3-- div-sub associate-*l/ flip-- log1p-expm1-u add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 188
Calls
2 calls:
32.0ms
(/ (/ (- 3.0 x) 3.0) y)
89.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series144.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (/ (- 3.0 x) 3.0) y)
89.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify1.7s

Counts
194 → 194
Iterations

Useful iterations: 2 (674.0ms)

IterNodesCost
02993015
17432840
228562668
done50002668

prune709.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
0.2b
(/ (* y 3.0) (- 3.0 x))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
68×add-sqr-sqrt *-un-lft-identity
28×add-cube-cbrt
20×distribute-lft-out-- difference-of-squares
16×add-exp-log associate-/r* add-cbrt-cube
15×associate-/r/
8×flip3-- flip-- div-inv
7×cbrt-undiv div-exp
6×associate-/l*
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 122
Calls
2 calls:
53.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
41.0ms
(/ (* y 3.0) (- 3.0 x))

series158.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
80.0ms
(/ (* y 3.0) (- 3.0 x))

simplify1.9s

Counts
128 → 128
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02312286
16312196
223692060
done50002038

prune420.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11011
done1011

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s10639×body80valid