Details

Time bar (total: 15.4s)

sample13.0ms

Algorithm
intervals
Results
5.0ms335×body80valid

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2237
3387
4437
done437

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
7.0ms
(* x (- 1.0 (* x y)))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* x (- 1.0 (* x y)))

simplify1.5s

Counts
27 → 27
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
051273
1125270
2493236
32436236
done5000236

prune42.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (- (* (pow x 2) y)))
8.6b
(* (pow x 2) y)

rewrite10.0ms

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)

series60.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ (* 1.0 x) (- (* (pow x 2) y)))
18.0ms
(* (pow x 2) y)

simplify469.0ms

Counts
48 → 48
Iterations

Useful iterations: done (468.0ms)

IterNodesCost
078473
1207424
2896370
done5000337

prune90.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.0b
(* (pow (* (cbrt x) (cbrt x)) 2) (* (pow (cbrt x) 2) y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log
32×prod-exp
12×pow-exp
9×cbrt-prod add-cbrt-cube
8×add-sqr-sqrt pow-to-exp add-cube-cbrt *-un-lft-identity
6×associate-*l*
4×pow1 add-log-exp
3×pow1/3 cbrt-unprod
1×unpow-prod-down associate-*r* *-commutative unpow2 sqr-pow
Counts
4 → 66
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
12.0ms
(* (pow (* (cbrt x) (cbrt x)) 2) (* (pow (cbrt x) 2) y))

series569.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt x)
173.0ms
(cbrt x)
170.0ms
(cbrt x)
44.0ms
(* (pow (* (cbrt x) (cbrt x)) 2) (* (pow (cbrt x) 2) y))

simplify3.3s

Counts
78 → 78
Iterations

Useful iterations: 3 (441.0ms)

IterNodesCost
080815
1198619
2677443
33155374
done5000374

prune180.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.0b
(* (pow (* (cbrt x) (cbrt x)) 2) (* (pow (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) 2) y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
80×add-exp-log
62×prod-exp
24×pow-exp
10×pow-to-exp
9×cbrt-prod add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*l*
4×pow1 add-log-exp
3×pow1/3 cbrt-unprod
1×unpow-prod-down associate-*r* *-commutative unpow2 sqr-pow
Counts
4 → 74
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
18.0ms
(* (pow (* (cbrt x) (cbrt x)) 2) (* (pow (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) 2) y))

series583.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
182.0ms
(cbrt x)
179.0ms
(cbrt x)
43.0ms
(* (pow (* (cbrt x) (cbrt x)) 2) (* (pow (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) 2) y))

simplify7.9s

Counts
86 → 86
Iterations

Useful iterations: 3 (478.0ms)

IterNodesCost
0981388
12471197
2788788
34185422
done5000422

prune197.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes75.0ms

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

sample338.0ms

Algorithm
intervals
Results
180.0ms10630×body80valid