Details

Time bar (total: 13.2s)

sample40.0ms

Algorithm
intervals
Results
22.0ms352×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12111
26511
317511
447511
5107311
6284811
done500211

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize10.0ms

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))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
12×flip3-- flip--
10×add-sqr-sqrt
8×frac-times *-un-lft-identity associate-/l/
5×associate-*r* associate-*l* prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp associate-*l/
2×distribute-rgt-in sub-neg distribute-lft-in 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 → 63
Calls
2 calls:
42.0ms
(* (- 1.0 x) (- 3.0 x))
45.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series89.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- 1.0 x) (- 3.0 x))
59.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.2s

Counts
69 → 69
Iterations

Useful iterations: 2 (339.0ms)

IterNodesCost
0136998
1406961
22048821
done5001821

prune166.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite108.0ms

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×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 → 100
Calls
2 calls:
17.0ms
(/ (- 1.0 x) y)
84.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series109.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- 1.0 x) y)
57.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.1s

Counts
106 → 106
Iterations

Useful iterations: 2 (312.0ms)

IterNodesCost
01711417
14791370
216381220
done50001220

prune224.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

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))

rewrite190.0ms

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×frac-times flip3-- div-sub associate-*l/ flip-- add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 184
Calls
2 calls:
45.0ms
(/ (/ (- 3.0 x) 3.0) y)
120.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series129.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ (/ (- 3.0 x) 3.0) y)
72.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify1.6s

Counts
190 → 190
Iterations

Useful iterations: 2 (599.0ms)

IterNodesCost
02952975
17342804
228362632
done50002632

prune585.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

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))

rewrite81.0ms

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 frac-2neg prod-exp clear-num cbrt-unprod associate-/l/ add-log-exp
1×div-sub
Counts
2 → 118
Calls
2 calls:
52.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
17.0ms
(/ (* y 3.0) (- 3.0 x))

series117.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
50.0ms
(/ (* y 3.0) (- 3.0 x))

simplify1.7s

Counts
124 → 124
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02272246
16172171
223122035
done50002013

prune329.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes95.0ms

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

sample1.4s

Algorithm
intervals
Results
1.1s10639×body80valid