Details

Time bar (total: 2.6s)

sample18.0ms

Algorithm
intervals
Results
8.0ms358×body80valid

simplify36.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1655
21755
34755
411835
550015
done50015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
6.6b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite65.0ms

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:
37.0ms
(* (- 1.0 x) (- 3.0 x))
26.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series69.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* (- 1.0 x) (- 3.0 x))
47.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify54.0ms

Counts
69 → 69
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0413460
12310393
25001393
done5001393

prune123.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.0b
(/ (- 3.0 x) 3.0)
0.2b
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
69×*-un-lft-identity
64×times-frac
41×add-cube-cbrt
19×add-exp-log associate-*r* associate-*l* add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
10×associate-/l*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
3×add-log-exp
2×flip3-- frac-2neg div-sub clear-num flip--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 138
Calls
3 calls:
15.0ms
(/ (- 1.0 x) y)
16.0ms
(/ (- 3.0 x) 3.0)
52.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series117.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (- 1.0 x) y)
40.0ms
(/ (- 3.0 x) 3.0)
45.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify62.0ms

Counts
147 → 147
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0559898
12363816
25001815
done5001815

prune260.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
178×add-sqr-sqrt
169×*-un-lft-identity
117×add-cube-cbrt
61×associate-*r*
26×distribute-lft-out-- difference-of-squares
24×associate-/l*
19×add-exp-log add-cbrt-cube
10×div-inv
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1 associate-*l*
3×flip3-- div-sub prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp unswap-sqr
2×frac-times frac-2neg associate-*l/ clear-num
1×associate-*r/ pow-prod-down *-commutative
Counts
3 → 222
Calls
3 calls:
15.0ms
(/ (- 3.0 x) 3.0)
21.0ms
(/ (/ (- 3.0 x) 3.0) y)
63.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series122.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (- 3.0 x) 3.0)
38.0ms
(/ (/ (- 3.0 x) 3.0) y)
44.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify107.0ms

Counts
231 → 231
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07971722
139901628
250011628
done50011628

prune444.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.2b
(* (/ (- 1.0 x) y) (- 1 (/ x 3.0)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
40×*-un-lft-identity
33×times-frac
22×add-cube-cbrt
19×associate-*l*
11×difference-of-squares
9×add-exp-log add-cbrt-cube
8×associate-*r* distribute-lft-out--
5×associate-/l*
4×pow1
3×flip3-- associate-/r* flip--
2×cbrt-undiv distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 89
Calls
2 calls:
15.0ms
(/ (- 1.0 x) y)
72.0ms
(* (/ (- 1.0 x) y) (- 1 (/ x 3.0)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (- 1.0 x) y)
54.0ms
(* (/ (- 1.0 x) y) (- 1 (/ x 3.0)))

simplify53.0ms

Counts
95 → 95
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0421602
11939551
25002550
done5002550

prune165.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes55.0ms

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
0105
1105
done105

end0.0ms

sample475.0ms

Algorithm
intervals
Results
252.0ms10733×body80valid