Details

Time bar (total: 7.8s)

sample19.0ms

Algorithm
intervals
Results
9.0ms335×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12111
26511
317011
442711
593211
6264811
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
4.2b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite34.0ms

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:
21.0ms
(* (- 1.0 x) (- 3.0 x))
10.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series69.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(* (- 1.0 x) (- 3.0 x))
45.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify769.0ms

Counts
69 → 69
Iterations

Useful iterations: 2 (173.0ms)

IterNodesCost
0136998
1413961
22032821
done5000821

prune140.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite51.0ms

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:
7.0ms
(/ (- 1.0 x) y)
7.0ms
(/ (- 3.0 x) 3.0)
28.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series123.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ (- 1.0 x) y)
42.0ms
(/ (- 3.0 x) 3.0)
47.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify846.0ms

Counts
147 → 147
Iterations

Useful iterations: 2 (376.0ms)

IterNodesCost
02021815
15581751
218251580
done50001580

prune279.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
45×*-un-lft-identity
35×times-frac
23×add-cube-cbrt
19×associate-*l*
15×difference-of-squares
10×add-exp-log add-cbrt-cube
9×distribute-lft-out--
8×associate-*r*
5×pow1 associate-/l* add-log-exp
4×flip3-- flip--
3×sub-neg associate-/r*
2×cbrt-undiv distribute-rgt-in frac-times distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×frac-2neg diff-log div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 106
Calls
3 calls:
7.0ms
(- 1 (/ x 3.0))
7.0ms
(/ (- 1.0 x) y)
42.0ms
(* (/ (- 1.0 x) y) (- 1 (/ x 3.0)))

series127.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- 1 (/ x 3.0))
33.0ms
(/ (- 1.0 x) y)
56.0ms
(* (/ (- 1.0 x) y) (- 1 (/ x 3.0)))

simplify1.1s

Counts
115 → 115
Iterations

Useful iterations: 2 (239.0ms)

IterNodesCost
01671433
14401372
213341256
done50001256

prune209.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- 3.0 x))
0.1b
(/ (- 1.0 x) (* 3.0 (/ y (- 3.0 x))))
0.2b
(* 3.0 (/ y (- 3.0 x)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
43×*-un-lft-identity
36×times-frac
25×add-cube-cbrt
21×associate-*r*
19×add-exp-log add-cbrt-cube
9×distribute-lft-out-- difference-of-squares
8×associate-/l*
6×cbrt-undiv div-exp associate-/r*
5×pow1 associate-/r/
4×prod-exp cbrt-unprod
3×flip3-- associate-*l* flip-- div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num associate-/l/ unswap-sqr
1×div-sub pow-prod-down *-commutative
Counts
3 → 108
Calls
3 calls:
5.0ms
(/ y (- 3.0 x))
13.0ms
(/ (- 1.0 x) (* 3.0 (/ y (- 3.0 x))))
15.0ms
(* 3.0 (/ y (- 3.0 x)))

series122.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ y (- 3.0 x))
48.0ms
(/ (- 1.0 x) (* 3.0 (/ y (- 3.0 x))))
38.0ms
(* 3.0 (/ y (- 3.0 x)))

simplify997.0ms

Counts
117 → 117
Iterations

Useful iterations: done (994.0ms)

IterNodesCost
02011461
15011401
215441249
done50011233

prune224.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes77.0ms

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
01011
11311
done1311

end0.0ms

sample450.0ms

Algorithm
intervals
Results
272.0ms10669×body80valid