Details

Time bar (total: 9.4s)

sample73.0ms

Algorithm
intervals
Results
44.0ms474×body80valid

simplify41.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0913
11713
23711
34711
done4711

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* y y) (* x (+ (* 2.0 y) x)))
0.0b
(* x (+ (* 2.0 y) x))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
16.0ms
(+ (* y y) (* x (+ (* 2.0 y) x)))
49.0ms
(* x (+ (* 2.0 y) x))

series110.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ (* y y) (* x (+ (* 2.0 y) x)))
65.0ms
(* x (+ (* 2.0 y) x))

simplify1.2s

Counts
41 → 41
Iterations

Useful iterations: 2 (304.0ms)

IterNodesCost
073527
1252499
21440447
done5002447

prune207.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* y (+ (* x 2.0) y)) (* x x))
0.0b
(* y (+ (* x 2.0) y))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
33.0ms
(+ (* y (+ (* x 2.0) y)) (* x x))
49.0ms
(* y (+ (* x 2.0) y))

series99.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ (* y (+ (* x 2.0) y)) (* x x))
59.0ms
(* y (+ (* x 2.0) y))

simplify1.1s

Counts
41 → 41
Iterations

Useful iterations: 2 (291.0ms)

IterNodesCost
071523
1247499
21414447
done5000447

prune175.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))
0.5b
(cbrt (+ (* x 2.0) y))
0.5b
(cbrt (+ (* x 2.0) y))
0.5b
(cbrt (+ (* x 2.0) y))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
84.0ms
(* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))
8.0ms
(cbrt (+ (* x 2.0) y))
9.0ms
(cbrt (+ (* x 2.0) y))
9.0ms
(cbrt (+ (* x 2.0) y))

series2.1s

Counts
4 → 12
Calls
4 calls:
481.0ms
(* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))
544.0ms
(cbrt (+ (* x 2.0) y))
564.0ms
(cbrt (+ (* x 2.0) y))
527.0ms
(cbrt (+ (* x 2.0) y))

simplify1.0s

Counts
99 → 99
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01331632
13181518
212311428
done50001348

prune571.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes97.0ms

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 (0.0ms)

IterNodesCost
0811
11211
done1211

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.6s14278×body80valid