Details

Time bar (total: 14.0s)

sample18.0ms

Algorithm
intervals
Results
7.0ms328×body80valid

simplify23.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2237
3397
4477
done477

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:
8.0ms
(- 1.0 (* x y))
30.0ms
(* x (- 1.0 (* x y)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- 1.0 (* x y))
67.0ms
(* x (- 1.0 (* x y)))

simplify3.2s

Counts
42 → 42
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
059405
1150397
2620361
34764355
done5001355

prune151.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* x y))))
0.2b
(* x (- (* x y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*r*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*l* distribute-rgt-neg-out
1×+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
9.0ms
(+ (* x 1.0) (* x (- (* x y))))
12.0ms
(* x (- (* x y)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(+ (* x 1.0) (* x (- (* x y))))
25.0ms
(* x (- (* x y)))

simplify855.0ms

Counts
42 → 42
Iterations

Useful iterations: done (853.0ms)

IterNodesCost
066431
1195362
2974335
done5000325

prune136.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)

rewrite20.0ms

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:
13.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
286.0ms
(* (cbrt x) (cbrt x))
288.0ms
(cbrt x)
258.0ms
(cbrt x)
286.0ms
(cbrt x)

simplify1.3s

Counts
85 → 85
Iterations

Useful iterations: done (1.3s)

IterNodesCost
061524
1139417
2735397
done5000383

prune292.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
9.0b
(cbrt (- (* x y)))
9.0b
(cbrt (- (* x y)))
9.0b
(cbrt (- (* x y)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
46×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l*
7×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
6×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 → 91
Calls
4 calls:
39.0ms
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
4.0ms
(cbrt (- (* x y)))
4.0ms
(cbrt (- (* x y)))
4.0ms
(cbrt (- (* x y)))

series695.0ms

Counts
4 → 12
Calls
4 calls:
224.0ms
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
137.0ms
(cbrt (- (* x y)))
173.0ms
(cbrt (- (* x y)))
160.0ms
(cbrt (- (* x y)))

simplify4.1s

Counts
103 → 103
Iterations

Useful iterations: done (4.1s)

IterNodesCost
01101198
12511102
28661020
34312925
done5000904

prune475.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes130.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11810
22310
32410
done2410

end0.0ms

sample1.1s

Algorithm
intervals
Results
763.0ms10591×body80valid