Details

Time bar (total: 9.3s)

sample42.0ms

Algorithm
intervals
Results
19.0ms333×body80valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12111
26511
317511
448511
5160811
done500011

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
5.3b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite107.0ms

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:
61.0ms
(* (- 1.0 x) (- 3.0 x))
42.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series107.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* (- 1.0 x) (- 3.0 x))
71.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.4s

Counts
69 → 69
Iterations

Useful iterations: 2 (409.0ms)

IterNodesCost
0136998
1418961
22673821
done5001821

prune316.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 1 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
34×times-frac
31×*-un-lft-identity
19×add-cube-cbrt associate-*r* associate-*l*
13×add-exp-log add-cbrt-cube
6×distribute-lft-out-- difference-of-squares
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative add-log-exp
Counts
1 → 62
Calls
1 calls:
57.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series84.0ms

Counts
1 → 3
Calls
1 calls:
83.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.0s

Counts
65 → 65
Iterations

Useful iterations: 2 (299.0ms)

IterNodesCost
01381007
1418975
21957857
done5002857

prune226.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

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))

rewrite105.0ms

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:
21.0ms
(/ (/ (- 3.0 x) 3.0) y)
69.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series101.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (/ (- 3.0 x) 3.0) y)
50.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify542.0ms

Counts
190 → 190
Iterations

Useful iterations: done (532.0ms)

IterNodesCost
02952975
18082816
done50012670

prune790.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 1.0 y) (* 0.3333333333333333 (/ x y)))
0.1b
(* (- 1.0 x) (- (/ 1.0 y) (* 0.3333333333333333 (/ x y))))
0.3b
(* 0.3333333333333333 (/ x y))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
16×associate-*r*
15×*-un-lft-identity
13×add-cube-cbrt associate-*r/
10×add-exp-log times-frac add-cbrt-cube
9×flip3-- flip--
8×frac-times associate-*l*
7×pow1
5×add-log-exp
4×frac-sub sub-div
3×sub-neg prod-exp cbrt-unprod unswap-sqr
2×distribute-rgt-in distribute-lft-in pow-prod-down associate-*l/ *-commutative
1×cbrt-undiv diff-log div-exp div-inv distribute-lft-out-- difference-of-squares
Counts
3 → 84
Calls
3 calls:
29.0ms
(- (/ 1.0 y) (* 0.3333333333333333 (/ x y)))
81.0ms
(* (- 1.0 x) (- (/ 1.0 y) (* 0.3333333333333333 (/ x y))))
23.0ms
(* 0.3333333333333333 (/ x y))

series144.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(- (/ 1.0 y) (* 0.3333333333333333 (/ x y)))
55.0ms
(* (- 1.0 x) (- (/ 1.0 y) (* 0.3333333333333333 (/ x y))))
29.0ms
(* 0.3333333333333333 (/ x y))

simplify1.4s

Counts
93 → 93
Iterations

Useful iterations: 2 (376.0ms)

IterNodesCost
01661397
14531342
224801232
done50021232

prune360.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes148.0ms

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

sample1.2s

Algorithm
intervals
Results
829.0ms10576×body80valid