Details

Time bar (total: 8.1s)

sample14.0ms

Algorithm
intervals
Results
6.0ms334×body80valid

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2237
3377
4417
done417

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:
2.0ms
(- 1.0 (* x y))
8.0ms
(* x (- 1.0 (* x y)))

series68.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(- 1.0 (* x y))
43.0ms
(* x (- 1.0 (* x y)))

simplify1.1s

Counts
42 → 42
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
059405
1138397
2478353
32183353
done5000353

prune78.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (* x (- 1.0 (* x y))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
9.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))

series1.1s

Counts
4 → 12
Calls
4 calls:
289.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
267.0ms
(cbrt (* x (- 1.0 (* x y))))
259.0ms
(cbrt (* x (- 1.0 (* x y))))
259.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify489.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (138.0ms)

IterNodesCost
01682070
14281927
215391792
done50001792

prune242.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (* x (- 1.0 (* x y))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-div associate-*r/
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 44
Calls
4 calls:
3.0ms
(cbrt (* x (- 1.0 (* x y))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))

series1.1s

Counts
4 → 12
Calls
4 calls:
273.0ms
(cbrt (* x (- 1.0 (* x y))))
271.0ms
(cbrt (* x (- 1.0 (* x y))))
271.0ms
(cbrt (* x (- 1.0 (* x y))))
268.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify989.0ms

Counts
56 → 56
Iterations

Useful iterations: 3 (274.0ms)

IterNodesCost
0891348
12291308
27481232
33496936
done5000936

prune221.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (cbrt (* x (- 1.0 (* x y)))))
0.6b
(cbrt (cbrt (* x (- 1.0 (* x y)))))
0.6b
(cbrt (cbrt (* x (- 1.0 (* x y)))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
14×cbrt-div
8×associate-*r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 53
Calls
4 calls:
3.0ms
(cbrt (* x (- 1.0 (* x y))))
1.0ms
(cbrt (cbrt (* x (- 1.0 (* x y)))))
1.0ms
(cbrt (cbrt (* x (- 1.0 (* x y)))))
2.0ms
(cbrt (cbrt (* x (- 1.0 (* x y)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
276.0ms
(cbrt (* x (- 1.0 (* x y))))
353.0ms
(cbrt (cbrt (* x (- 1.0 (* x y)))))
350.0ms
(cbrt (cbrt (* x (- 1.0 (* x y)))))
343.0ms
(cbrt (cbrt (* x (- 1.0 (* x y)))))

simplify609.0ms

Counts
65 → 65
Iterations

Useful iterations: done (606.0ms)

IterNodesCost
01381597
13491545
211521463
done50001314

prune282.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes77.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample355.0ms

Algorithm
intervals
Results
196.0ms10745×body80valid