Details

Time bar (total: 8.2s)

sample21.0ms

Algorithm
intervals
Results
9.0ms433×body80valid

simplify103.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0482
11182
22582
35382
411082
520582
622582
723182
done23182

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) (+ x y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-cbrt-cube add-exp-log
2×associate-*l/ associate-*r/
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 40
Calls
1 calls:
29.0ms
(* (+ x y) (+ x y))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(* (+ x y) (+ x y))

simplify1.3s

Counts
43 → 43
Iterations

Useful iterations: done (1.3s)

IterNodesCost
06210242
12266874
217596794
done50006754

prune108.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y y) (+ (* 2 (* x y)) (* x x)))
0.0b
(+ (* 2 (* x y)) (* x x))
0.0b
(* 2 (* x y))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt sum-log *-un-lft-identity add-cube-cbrt
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×+-commutative flip3-+ flip-+
1×associate-+r+ associate-*r* *-commutative
Counts
3 → 42
Calls
3 calls:
41.0ms
(+ (* y y) (+ (* 2 (* x y)) (* x x)))
21.0ms
(+ (* 2 (* x y)) (* x x))
18.0ms
(* 2 (* x y))

series99.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (* y y) (+ (* 2 (* x y)) (* x x)))
42.0ms
(+ (* 2 (* x y)) (* x x))
29.0ms
(* 2 (* x y))

simplify1.1s

Counts
51 → 51
Iterations

Useful iterations: 2 (310.0ms)

IterNodesCost
08013827
127411115
2145810444
done500010444

prune169.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) y)
0.0b
(* (+ x y) x)
0.0b
(+ (* (+ x y) x) (* (+ x y) y))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*l/
11×add-sqr-sqrt *-un-lft-identity
8×associate-*l*
7×pow1 flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
6×associate-*r*
5×add-log-exp
4×frac-add
3×distribute-lft-out
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log
Counts
3 → 58
Calls
3 calls:
18.0ms
(* (+ x y) y)
15.0ms
(* (+ x y) x)
11.0ms
(+ (* (+ x y) x) (* (+ x y) y))

series103.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* (+ x y) y)
36.0ms
(* (+ x y) x)
27.0ms
(+ (* (+ x y) x) (* (+ x y) y))

simplify1.3s

Counts
67 → 67
Iterations

Useful iterations: 2 (377.0ms)

IterNodesCost
010617721
130912697
2195412097
done500112097

prune232.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
12.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series959.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(* (cbrt y) (cbrt y))
249.0ms
(cbrt y)
204.0ms
(cbrt y)
242.0ms
(cbrt y)

simplify1.2s

Counts
85 → 85
Iterations

Useful iterations: done (1.1s)

IterNodesCost
06117134
113814621
272714346
done500013666

prune353.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes169.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09243
113243
done13243

end0.0ms

sample700.0ms

Algorithm
intervals
Results
361.0ms14298×body80valid