Details

Time bar (total: 8.9s)

sample14.0ms

Algorithm
intervals
Results
6.0ms334×body80valid

simplify20.0ms

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)))

rewrite10.0ms

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))
7.0ms
(* x (- 1.0 (* x y)))

series71.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(- 1.0 (* x y))
45.0ms
(* x (- 1.0 (* x y)))

simplify1.5s

Counts
42 → 42
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
059405
1138397
2380353
31289353
done5000353

prune73.0ms

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))))

rewrite21.0ms

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:
11.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
2.0ms
(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:
279.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
260.0ms
(cbrt (* x (- 1.0 (* x y))))
261.0ms
(cbrt (* x (- 1.0 (* x y))))
267.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify602.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (141.0ms)

IterNodesCost
01682070
14281927
214581792
done50011792

prune244.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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:
264.0ms
(cbrt (* x (- 1.0 (* x y))))
264.0ms
(cbrt (* x (- 1.0 (* x y))))
266.0ms
(cbrt (* x (- 1.0 (* x y))))
263.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify1.3s

Counts
56 → 56
Iterations

Useful iterations: 3 (383.0ms)

IterNodesCost
0891348
12291308
27421232
33413936
done5000936

prune231.0ms

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:
270.0ms
(cbrt (* x (- 1.0 (* x y))))
345.0ms
(cbrt (cbrt (* x (- 1.0 (* x y)))))
340.0ms
(cbrt (cbrt (* x (- 1.0 (* x y)))))
341.0ms
(cbrt (cbrt (* x (- 1.0 (* x y)))))

simplify546.0ms

Counts
65 → 65
Iterations

Useful iterations: done (541.0ms)

IterNodesCost
01381597
13491545
211461463
done50001273

prune294.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes84.0ms

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

sample366.0ms

Algorithm
intervals
Results
200.0ms10745×body80valid