Details

Time bar (total: 9.5s)

sample13.0ms

Algorithm
intervals
Results
5.0ms330×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1147
2207
3217
done217

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 1.0 (* y y))
3.4b
(* x (+ 1.0 (* y y)))

rewrite12.0ms

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×associate-*r* associate-*l*
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
2.0ms
(+ 1.0 (* y y))
10.0ms
(* x (+ 1.0 (* y y)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ 1.0 (* y y))
52.0ms
(* x (+ 1.0 (* y y)))

simplify1.9s

Counts
39 → 39
Iterations

Useful iterations: 3 (312.0ms)

IterNodesCost
059371
1169359
2703309
32869307
done5001307

prune73.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* x (* y y)))
8.7b
(* 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))

series97.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(+ (* 1.0 x) (* x (* y y)))
34.0ms
(* x (* y y))

simplify1.3s

Counts
36 → 36
Iterations

Useful iterations: 3 (244.0ms)

IterNodesCost
057364
1163344
2565276
31903268
done5000268

prune69.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (* x y) y))
0.2b
(* (* x y) y)

rewrite9.0ms

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:
2.0ms
(+ (* 1.0 x) (* (* x y) y))
6.0ms
(* (* x y) y)

series93.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(+ (* 1.0 x) (* (* x y) y))
32.0ms
(* (* x y) y)

simplify3.4s

Counts
35 → 35
Iterations

Useful iterations: 3 (438.0ms)

IterNodesCost
059359
1176337
2782269
33719261
done5000261

prune64.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
22.9b
(cbrt (* (* x y) y))
22.9b
(cbrt (* (* x y) y))
22.9b
(cbrt (* (* x y) y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
8.0ms
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
7.0ms
(cbrt (* (* x y) y))
5.0ms
(cbrt (* (* x y) y))
5.0ms
(cbrt (* (* x y) y))

series388.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
91.0ms
(cbrt (* (* x y) y))
92.0ms
(cbrt (* (* x y) y))
93.0ms
(cbrt (* (* x y) y))

simplify1.4s

Counts
70 → 70
Iterations

Useful iterations: done (1.4s)

IterNodesCost
086846
1203763
2617668
32331572
done5000567

prune179.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes85.0ms

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

sample336.0ms

Algorithm
intervals
Results
179.0ms10662×body80valid