Details

Time bar (total: 1.6m)

sample23.0ms

Algorithm
intervals
Results
10.0ms339×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2117
done117

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ x (* y y)) 3.0)
9.2b
(/ x (* y y))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×*-un-lft-identity prod-diff
19×add-cube-cbrt
16×times-frac
7×add-exp-log fma-neg add-cbrt-cube
5×div-inv
4×add-log-exp
3×associate-/l*
2×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u difference-of-squares
1×sub-neg flip3-- frac-2neg diff-log prod-exp clear-num associate-/r* flip-- cbrt-unprod distribute-lft-out--
Counts
2 → 68
Calls
2 calls:
62.0ms
(- (/ x (* y y)) 3.0)
17.0ms
(/ x (* y y))

series81.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(- (/ x (* y y)) 3.0)
33.0ms
(/ x (* y y))

simplify923.0ms

Counts
74 → 74
Iterations

Useful iterations: done (920.0ms)

IterNodesCost
01091039
1276850
21185702
done5001654

prune143.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
342×times-frac
236×add-sqr-sqrt
229×*-un-lft-identity
227×add-cube-cbrt
129×prod-diff
43×fma-neg
21×div-inv
13×associate-/l*
7×add-exp-log add-cbrt-cube
4×add-log-exp
3×cbrt-undiv div-exp associate-/r* difference-of-squares
2×pow1 expm1-log1p-u log1p-expm1-u
1×sub-neg flip3-- frac-2neg diff-log clear-num flip-- associate-/l/ distribute-lft-out--
Counts
2 → 262
Calls
2 calls:
77.0ms
(- (/ (/ x y) y) 3.0)
23.0ms
(/ (/ x y) y)

series85.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(- (/ (/ x y) y) 3.0)
27.0ms
(/ (/ x y) y)

simplify1.6s

Counts
268 → 268
Iterations

Useful iterations: done (1.6s)

IterNodesCost
03165659
17494346
229633734
done50013512

prune750.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (/ 1 1) (/ y (/ x y))) 3.0)
0.1b
(/ y (/ x y))
0.6b
(/ (/ 1 1) (/ y (/ x y)))

rewrite1.5s

Algorithm
rewrite-expression-head
Rules
9322×times-frac
4545×add-sqr-sqrt
4497×*-un-lft-identity
4483×add-cube-cbrt
1731×prod-diff
577×fma-neg
495×div-inv
72×associate-/r/
68×add-exp-log
57×div-exp associate-/r*
29×add-cbrt-cube
18×cbrt-undiv
16×associate-/l* difference-of-squares
15×1-exp
6×rec-exp
5×add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg clear-num
1×sub-neg flip3-- diff-log flip-- associate-/l/ distribute-lft-out--
Counts
3 → 3081
Calls
3 calls:
740.0ms
(- (/ (/ 1 1) (/ y (/ x y))) 3.0)
17.0ms
(/ y (/ x y))
62.0ms
(/ (/ 1 1) (/ y (/ x y)))

series87.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- (/ (/ 1 1) (/ y (/ x y))) 3.0)
20.0ms
(/ y (/ x y))
31.0ms
(/ (/ 1 1) (/ y (/ x y)))

simplify1.5s

Counts
3090 → 3090
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0284698569
done500089283

prune17.9s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite4.3s

Algorithm
rewrite-expression-head
Rules
38488×times-frac
17382×add-sqr-sqrt
17275×*-un-lft-identity
17241×add-cube-cbrt
5691×prod-diff
1897×fma-neg
1758×div-inv
222×associate-/r/
208×add-exp-log
196×div-exp
57×associate-/r*
53×1-exp
46×associate-/l*
44×add-cbrt-cube
32×rec-exp
31×difference-of-squares
30×cbrt-undiv
5×add-log-exp
4×pow1
3×expm1-log1p-u log1p-expm1-u
2×frac-2neg clear-num
1×sub-neg flip3-- pow-flip diff-log flip-- associate-/l/ distribute-lft-out-- inv-pow
Counts
3 → 9770
Calls
3 calls:
1.8s
(- (/ (/ (/ 1 1) y) (/ 1 (/ x y))) 3.0)
86.0ms
(/ (/ (/ 1 1) y) (/ 1 (/ x y)))
18.0ms
(/ 1 (/ x y))

series65.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- (/ (/ (/ 1 1) y) (/ 1 (/ x y))) 3.0)
20.0ms
(/ (/ (/ 1 1) y) (/ 1 (/ x y)))
10.0ms
(/ 1 (/ x y))

simplify4.2s

Counts
9779 → 9779
Iterations

Useful iterations: 0 (929.0ms)

IterNodesCost
08680364257
done8680364257

prune1.0m

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01013
1139
2149
done149

end0.0ms

sample794.0ms

Algorithm
intervals
Results
398.0ms10650×body80valid