Details

Time bar (total: 17.1s)

sample23.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify2.5s

Counts
1 → 1
Iterations
IterNodes
done5001
83929
71054
6315
5117
455
341
228
117
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
14×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×associate-/l*
3×add-cbrt-cube add-exp-log
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg div-sub div-exp div-inv add-log-exp
Counts
1 → 58
Calls
1 calls:
50.0ms
(/ (- x y) (- 2.0 (+ x y)))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify821.0ms

Counts
61 → 61
Iterations
IterNodes
done5001
21026
1281
0112

prune211.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
0.2b
(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.2b
(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.2b
(cbrt (/ (- x y) (- 2.0 (+ x y))))

rewrite273.0ms

Algorithm
rewrite-expression-head
Rules
651×*-un-lft-identity
372×cbrt-prod
324×times-frac
318×add-sqr-sqrt
212×distribute-lft-out--
108×add-cube-cbrt
93×swap-sqr difference-of-squares
67×distribute-lft-out
39×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- div-inv flip--
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 336
Calls
4 calls:
185.0ms
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
19.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
15.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
20.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))

series771.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
203.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
205.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
186.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))

simplify1.6s

Counts
348 → 348
Iterations
IterNodes
done5000
21960
1529
0267

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize127.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt (- x y)) (cbrt (- x y))))
0.6b
(cbrt (* (cbrt (- x y)) (cbrt (- x y))))
0.7b
(cbrt (/ (cbrt (- x y)) (- 2.0 (+ x y))))
0.7b
(cbrt (/ (cbrt (- x y)) (- 2.0 (+ x y))))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
170×cbrt-prod
150×*-un-lft-identity
102×add-sqr-sqrt
96×times-frac
46×add-cube-cbrt
44×distribute-lft-out--
42×cbrt-div
28×difference-of-squares
16×distribute-lft-out
14×flip3-- flip--
8×frac-times
4×pow1 add-cbrt-cube pow1/3 associate-*l/ associate-*r/ add-exp-log associate-/r/ add-log-exp
2×div-inv
Counts
4 → 160
Calls
4 calls:
11.0ms
(cbrt (* (cbrt (- x y)) (cbrt (- x y))))
21.0ms
(cbrt (* (cbrt (- x y)) (cbrt (- x y))))
31.0ms
(cbrt (/ (cbrt (- x y)) (- 2.0 (+ x y))))
31.0ms
(cbrt (/ (cbrt (- x y)) (- 2.0 (+ x y))))

series956.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt (* (cbrt (- x y)) (cbrt (- x y))))
216.0ms
(cbrt (* (cbrt (- x y)) (cbrt (- x y))))
300.0ms
(cbrt (/ (cbrt (- x y)) (- 2.0 (+ x y))))
249.0ms
(cbrt (/ (cbrt (- x y)) (- 2.0 (+ x y))))

simplify1.5s

Counts
172 → 172
Iterations
IterNodes
done5000
21493
1552
0291

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))
0.0b
(* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y))))
0.0b
(* (* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y)))) (/ (- x y) (- 2.0 (+ x y))))
5.8b
(cbrt (* (* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y)))) (/ (- x y) (- 2.0 (+ x y)))))

rewrite771.0ms

Algorithm
rewrite-expression-head
Rules
606×*-un-lft-identity
293×times-frac
276×add-sqr-sqrt
199×distribute-lft-out--
93×add-cube-cbrt
90×swap-sqr
84×difference-of-squares
72×associate-*r*
63×distribute-lft-out
59×add-cbrt-cube add-exp-log
37×associate-*l*
30×pow1
22×prod-exp cbrt-unprod
18×cbrt-undiv div-exp
12×associate-/r/
11×frac-times associate-*l/
7×cbrt-div pow-plus flip3-- associate-*r/ pow-prod-up flip--
6×associate-/r* div-inv unswap-sqr
5×associate-/l*
4×pow-prod-down add-log-exp
3×pow2 pow-sqr
2×pow3 *-commutative associate-/l/
1×cbrt-prod clear-num frac-2neg pow1/3 div-sub rem-cbrt-cube
Counts
4 → 350
Calls
4 calls:
48.0ms
(/ (- x y) (- 2.0 (+ x y)))
185.0ms
(* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y))))
307.0ms
(* (* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y)))) (/ (- x y) (- 2.0 (+ x y))))
199.0ms
(cbrt (* (* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y)))) (/ (- x y) (- 2.0 (+ x y)))))

series420.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ (- x y) (- 2.0 (+ x y)))
101.0ms
(* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y))))
199.0ms
(* (* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y)))) (/ (- x y) (- 2.0 (+ x y))))
64.0ms
(cbrt (* (* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y)))) (/ (- x y) (- 2.0 (+ x y)))))

simplify1.5s

Counts
362 → 362
Iterations
IterNodes
done5000
11158
0313

prune1.4s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes181.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample872.0ms

Algorithm
intervals
Results
360.0ms7997×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid