Details

Time bar (total: 6.7s)

sample52.0ms

Algorithm
intervals
Results
27.0ms389×body80valid

simplify62.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (18.0ms)

IterNodesCost
0815
11515
22513
3389
4489
5529
done529

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* 3 (* z z)))
0.2b
(* 3 (* z z))

rewrite53.0ms

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:
9.0ms
(+ (* x y) (* 3 (* z z)))
43.0ms
(* 3 (* z z))

series99.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(+ (* x y) (* 3 (* z z)))
27.0ms
(* 3 (* z z))

simplify682.0ms

Counts
36 → 36
Iterations

Useful iterations: done (681.0ms)

IterNodesCost
057370
1187348
2934306
done5001302

prune74.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* (* 3 z) z))
0.1b
(* (* 3 z) z)

rewrite40.0ms

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:
15.0ms
(+ (* x y) (* (* 3 z) z))
24.0ms
(* (* 3 z) z)

series114.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(+ (* x y) (* (* 3 z) z))
52.0ms
(* (* 3 z) z)

simplify847.0ms

Counts
35 → 35
Iterations

Useful iterations: done (845.0ms)

IterNodesCost
059365
1181337
21094303
done5000299

prune110.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 3 (* z z)) (* x y))
0.2b
(* 3 (* z z))

rewrite48.0ms

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:
21.0ms
(+ (* 3 (* z z)) (* x y))
26.0ms
(* 3 (* z z))

series111.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(+ (* 3 (* z z)) (* x y))
47.0ms
(* 3 (* z z))

simplify815.0ms

Counts
36 → 36
Iterations

Useful iterations: 2 (182.0ms)

IterNodesCost
057370
1191348
2971302
done5001302

prune104.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
0.3b
(* (cbrt 3) (* z z))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
7×add-sqr-sqrt associate-*l*
5×add-cube-cbrt *-un-lft-identity add-log-exp
4×cbrt-prod
2×associate-*r* *-commutative unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 62
Calls
3 calls:
25.0ms
(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
81.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
24.0ms
(* (cbrt 3) (* z z))

series323.0ms

Counts
3 → 9
Calls
3 calls:
140.0ms
(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
119.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
63.0ms
(* (cbrt 3) (* z z))

simplify1.2s

Counts
71 → 71
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0891026
1271964
21421670
done5001535

prune190.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes161.0ms

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
089
1129
done129

end0.0ms

sample1.4s

Algorithm
intervals
Results
865.0ms12052×body80valid