Details

Time bar (total: 9.3s)

sample14.0ms

Algorithm
intervals
Results
6.0ms344×body80valid

simplify38.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1127
2317
3577
4667
5727
done727

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
12.0ms
(* (* x y) (- 1.0 y))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* (* x y) (- 1.0 y))

simplify2.3s

Counts
29 → 29
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
060303
1166294
2696242
33049242
done5000242

prune49.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
20.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
2.0ms
(cbrt (- 1.0 y))
2.0ms
(cbrt (- 1.0 y))
2.0ms
(cbrt (- 1.0 y))

series379.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
90.0ms
(cbrt (- 1.0 y))
90.0ms
(cbrt (- 1.0 y))
89.0ms
(cbrt (- 1.0 y))

simplify996.0ms

Counts
113 → 113
Iterations

Useful iterations: 3 (398.0ms)

IterNodesCost
01481569
13181431
28171360
322451241
done50001241

prune315.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (cbrt (- 1.0 y))) (cbrt (cbrt (- 1.0 y))))
0.2b
(cbrt (cbrt (- 1.0 y)))
0.2b
(cbrt (cbrt (- 1.0 y)))
0.2b
(cbrt (cbrt (- 1.0 y)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
117×cbrt-prod
54×add-sqr-sqrt
42×*-un-lft-identity
36×cbrt-div
22×add-cube-cbrt
13×swap-sqr
11×pow1 associate-*r* associate-*l*
9×flip3-- pow1/3 flip-- distribute-lft-out-- unswap-sqr
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 124
Calls
4 calls:
26.0ms
(* (cbrt (cbrt (- 1.0 y))) (cbrt (cbrt (- 1.0 y))))
3.0ms
(cbrt (cbrt (- 1.0 y)))
3.0ms
(cbrt (cbrt (- 1.0 y)))
3.0ms
(cbrt (cbrt (- 1.0 y)))

series380.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* (cbrt (cbrt (- 1.0 y))) (cbrt (cbrt (- 1.0 y))))
90.0ms
(cbrt (cbrt (- 1.0 y)))
93.0ms
(cbrt (cbrt (- 1.0 y)))
92.0ms
(cbrt (cbrt (- 1.0 y)))

simplify1.1s

Counts
136 → 136
Iterations

Useful iterations: 3 (439.0ms)

IterNodesCost
01792179
13532033
28751944
323841780
done50011780

prune421.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* x y) 1.0) (- (* x (pow y 2))))
10.2b
(* x (pow y 2))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
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-*l* 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:
9.0ms
(+ (* (* x y) 1.0) (- (* x (pow y 2))))
6.0ms
(* x (pow y 2))

series108.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(+ (* (* x y) 1.0) (- (* x (pow y 2))))
29.0ms
(* x (pow y 2))

simplify2.5s

Counts
48 → 48
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
082522
1211469
2795383
33870342
done5001342

prune87.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

regimes83.0ms

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: 1 (1.0ms)

IterNodesCost
01014
12112
22912
33412
done3412

end0.0ms

sample362.0ms

Algorithm
intervals
Results
197.0ms10714×body80valid