Details

Time bar (total: 13.8s)

sample34.0ms

Algorithm
intervals
Results
14.0ms352×body80valid

simplify40.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2237
3397
4477
done477

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* x y))
0.1b
(* x (- 1.0 (* x y)))

rewrite58.0ms

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×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
9.0ms
(- 1.0 (* x y))
46.0ms
(* x (- 1.0 (* x y)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- 1.0 (* x y))
68.0ms
(* x (- 1.0 (* x y)))

simplify4.3s

Counts
42 → 42
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
059405
1150397
2620361
34764355
done5001355

prune236.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (- (* x y)) x))
0.1b
(* (- (* x y)) x)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*l*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×distribute-lft-neg-out associate-*r*
1×+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-out distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 36
Calls
2 calls:
16.0ms
(+ (* 1.0 x) (* (- (* x y)) x))
23.0ms
(* (- (* x y)) x)

series132.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(+ (* 1.0 x) (* (- (* x y)) x))
62.0ms
(* (- (* x y)) x)

simplify1.8s

Counts
42 → 42
Iterations

Useful iterations: done (1.8s)

IterNodesCost
065433
1188376
21283337
done5000336

prune276.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* x y))
0.1b
(* x (* 1 (- 1.0 (* x y))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log
8×distribute-rgt-in distribute-lft-in
7×pow1 add-cbrt-cube
5×sub-neg prod-exp
4×associate-*r/ add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down cbrt-unprod
2×flip3-- flip--
1×diff-log 1-exp associate-*r* *-commutative
Counts
2 → 41
Calls
2 calls:
10.0ms
(- 1.0 (* x y))
54.0ms
(* x (* 1 (- 1.0 (* x y))))

series122.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- 1.0 (* x y))
76.0ms
(* x (* 1 (- 1.0 (* x y))))

simplify1.2s

Counts
47 → 47
Iterations

Useful iterations: 2 (281.0ms)

IterNodesCost
081533
1240440
21367390
done5001390

prune220.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

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)

rewrite32.0ms

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:
22.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.4s

Counts
4 → 12
Calls
4 calls:
376.0ms
(* (cbrt x) (cbrt x))
348.0ms
(cbrt x)
340.0ms
(cbrt x)
336.0ms
(cbrt x)

simplify1.7s

Counts
85 → 85
Iterations

Useful iterations: done (1.7s)

IterNodesCost
061524
1139417
2735397
done5000383

prune552.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes191.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1137
2147
done147

end0.0ms

sample1.1s

Algorithm
intervals
Results
533.0ms10774×body80valid