Details

Time bar (total: 12.0s)

sample15.0ms

Algorithm
intervals
Results
6.0ms345×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1147
2197
done197

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize5.0ms

Local error

Found 1 expressions with local error:

6.1b
(* x (+ 1.0 (* y 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×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
7.0ms
(* x (+ 1.0 (* y y)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(* x (+ 1.0 (* y y)))

simplify1.3s

Counts
25 → 25
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
050247
1143240
2434206
31426206
done5000206

prune50.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* x (* y y)))
11.2b
(* x (* y y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
3.0ms
(+ (* 1.0 x) (* x (* y y)))
6.0ms
(* x (* y y))

series93.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(+ (* 1.0 x) (* x (* y y)))
32.0ms
(* x (* y y))

simplify2.9s

Counts
36 → 36
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
057364
1159344
2509276
31522268
43901266
done5000266

prune68.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
3.0ms
(+ (* 1.0 x) (* (* x y) y))
6.0ms
(* (* x y) y)

series94.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(+ (* 1.0 x) (* (* x y) y))
30.0ms
(* (* x y) y)

simplify2.7s

Counts
35 → 35
Iterations

Useful iterations: 3 (816.0ms)

IterNodesCost
059359
1174337
2674269
32701261
done5000261

prune75.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series760.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(* (cbrt y) (cbrt y))
184.0ms
(cbrt y)
183.0ms
(cbrt y)
186.0ms
(cbrt y)

simplify3.2s

Counts
85 → 85
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
061524
1115417
2327397
31169379
43727374
done5000374

prune201.0ms

Pruning

8 alts after pruning (5 fresh and 3 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
079
1119
done119

end0.0ms

sample362.0ms

Algorithm
intervals
Results
195.0ms10754×body80valid