Details

Time bar (total: 14.9s)

sample35.0ms

Algorithm
intervals
Results
20.0ms461×body80valid

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0913
11713
23711
34511
done4511

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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:
11.0ms
(+ (* y y) (* x (+ (* 2.0 y) x)))
43.0ms
(* x (+ (* 2.0 y) x))

series72.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (* y y) (* x (+ (* 2.0 y) x)))
40.0ms
(* x (+ (* 2.0 y) x))

simplify2.4s

Counts
41 → 41
Iterations

Useful iterations: 2 (132.0ms)

IterNodesCost
073527
1225493
2764439
33445439
done5001439

prune94.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

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:
38.0ms
(* y (+ (* 2.0 x) y))
23.0ms
(+ (* y (+ (* 2.0 x) y)) (* x x))

series92.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* y (+ (* 2.0 x) y))
35.0ms
(+ (* y (+ (* 2.0 x) y)) (* x x))

simplify2.2s

Counts
41 → 41
Iterations

Useful iterations: 3 (993.0ms)

IterNodesCost
071523
1216487
2744447
33420439
done5000439

prune77.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
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:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
321.0ms
(* (cbrt x) (cbrt x))
204.0ms
(cbrt x)
259.0ms
(cbrt x)
250.0ms
(cbrt x)

simplify4.2s

Counts
85 → 85
Iterations

Useful iterations: done (4.2s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune272.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.1b
(pow (cbrt (cbrt x)) 5)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
5.0ms
(pow (cbrt (cbrt x)) 5)

series1.1s

Counts
4 → 12
Calls
4 calls:
233.0ms
(cbrt x)
236.0ms
(cbrt x)
221.0ms
(cbrt x)
402.0ms
(pow (cbrt (cbrt x)) 5)

simplify1.3s

Counts
69 → 69
Iterations

Useful iterations: 3 (168.0ms)

IterNodesCost
072442
1148403
2308371
3689362
42066362
done5000362

prune213.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11211
done1211

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s14314×body80valid