Details

Time bar (total: 15.6s)

sample26.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2167
3187
done187

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
25×times-frac
13×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
54.0ms
(/ (- x y) (- 1.0 y))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ (- x y) (- 1.0 y))

simplify2.9s

Counts
55 → 55
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
0103740
1253711
2606677
31377677
43429675
done5001675

prune155.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- 1.0 y))
0.0b
(/ x (- 1.0 y))
0.0b
(- (/ x (- 1.0 y)) (/ y (- 1.0 y)))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
57×add-sqr-sqrt
48×times-frac
25×add-cube-cbrt
20×distribute-lft-out--
14×difference-of-squares
10×associate-/r*
8×associate-/r/
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×flip3-- flip-- add-log-exp
4×div-inv
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 103
Calls
3 calls:
23.0ms
(/ y (- 1.0 y))
23.0ms
(/ x (- 1.0 y))
113.0ms
(- (/ x (- 1.0 y)) (/ y (- 1.0 y)))

series198.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ y (- 1.0 y))
64.0ms
(/ x (- 1.0 y))
90.0ms
(- (/ x (- 1.0 y)) (/ y (- 1.0 y)))

simplify3.9s

Counts
112 → 112
Iterations

Useful iterations: 4 (2.4s)

IterNodesCost
01791392
13861323
28801261
318531249
449471241
done50021241

prune360.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 y) (- x y))
0.1b
(/ 1 (/ (- 1.0 y) (- x y)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 200
Calls
2 calls:
39.0ms
(/ (- 1.0 y) (- x y))
26.0ms
(/ 1 (/ (- 1.0 y) (- x y)))

series138.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(/ (- 1.0 y) (- x y))
59.0ms
(/ 1 (/ (- 1.0 y) (- x y)))

simplify3.4s

Counts
206 → 206
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
02593558
15973048
213682777
334992697
done50002697

prune367.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
0.3b
(cbrt (- 1.0 y))
0.3b
(cbrt (- 1.0 y))
0.3b
(cbrt (- 1.0 y))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
62.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
8.0ms
(cbrt (- 1.0 y))
8.0ms
(cbrt (- 1.0 y))
6.0ms
(cbrt (- 1.0 y))

series548.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
141.0ms
(cbrt (- 1.0 y))
130.0ms
(cbrt (- 1.0 y))
136.0ms
(cbrt (- 1.0 y))

simplify2.0s

Counts
113 → 113
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01481569
13181431
27781360
318651241
done50011212

prune391.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1109
done109

end0.0ms

sample646.0ms

Algorithm
intervals
Results
369.0ms8000×body80valid