Details

Time bar (total: 9.9s)

sample14.0ms

Algorithm
intervals
Results
6.0ms337×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)))

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)))

series73.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(- 1.0 (* x y))
46.0ms
(* x (- 1.0 (* x y)))

simplify1.1s

Counts
42 → 42
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
059405
1138397
2478353
32183353
done5000353

prune79.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (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:
298.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
276.0ms
(cbrt (* x (- 1.0 (* x y))))
276.0ms
(cbrt (* x (- 1.0 (* x y))))
279.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify492.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (145.0ms)

IterNodesCost
01682070
14281927
215391792
done50001792

prune256.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (cbrt x) (cbrt (- 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)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
16×cbrt-div
12×pow1/3
9×pow1 add-exp-log
8×flip3-- flip--
7×cbrt-prod pow-prod-down
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube
4×frac-times associate-*r* add-log-exp
3×prod-exp cbrt-unprod
2×associate-*l/
1×swap-sqr associate-*l* pow-sqr *-commutative pow-prod-up
Counts
4 → 64
Calls
4 calls:
19.0ms
(* (* (cbrt x) (cbrt (- 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))))
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
306.0ms
(* (* (cbrt x) (cbrt (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
284.0ms
(cbrt (* x (- 1.0 (* x y))))
283.0ms
(cbrt (* x (- 1.0 (* x y))))
185.0ms
(cbrt x)

simplify600.0ms

Counts
76 → 76
Iterations

Useful iterations: 2 (173.0ms)

IterNodesCost
01891682
15131627
218281513
done50011513

prune284.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (- (* (pow x 2) y)))
11.5b
(* (pow x 2) y)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*l*
7×add-exp-log
6×add-log-exp
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube unswap-sqr
3×associate-*r* prod-exp
2×pow1 sum-log unpow2 sqr-pow
1×+-commutative neg-sub0 pow-to-exp associate-+r- flip3-+ unsub-neg neg-log pow-exp *-commutative cbrt-unprod flip-+
Counts
2 → 42
Calls
2 calls:
3.0ms
(+ (* 1.0 x) (- (* (pow x 2) y)))
6.0ms
(* (pow x 2) y)

series68.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ (* 1.0 x) (- (* (pow x 2) y)))
19.0ms
(* (pow x 2) y)

simplify4.1s

Counts
48 → 48
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
078473
1199424
2788370
34396337
done5000337

prune85.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes57.0ms

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

sample360.0ms

Algorithm
intervals
Results
198.0ms10690×body80valid