Details

Time bar (total: 8.7s)

sample48.0ms

Algorithm
intervals
Results
21.0ms399×body80valid

simplify71.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (18.0ms)

IterNodesCost
0815
11515
22513
3389
4489
5529
done529

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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:
18.0ms
(+ (* x y) (* 3 (* z z)))
30.0ms
(* 3 (* z z))

series142.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(+ (* x y) (* 3 (* z z)))
57.0ms
(* 3 (* z z))

simplify970.0ms

Counts
36 → 36
Iterations

Useful iterations: done (969.0ms)

IterNodesCost
057370
1187348
2934306
done5001302

prune190.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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-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:
21.0ms
(+ (* x y) (* (* 3 z) z))
31.0ms
(* (* 3 z) z)

series128.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(+ (* x y) (* (* 3 z) z))
45.0ms
(* (* 3 z) z)

simplify1.1s

Counts
35 → 35
Iterations

Useful iterations: done (1.1s)

IterNodesCost
059365
1181337
21094303
done5000299

prune195.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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:
16.0ms
(+ (* x y) (* 3 (* z z)))
30.0ms
(* 3 (* z z))

series140.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(+ (* x y) (* 3 (* z z)))
49.0ms
(* 3 (* z z))

simplify960.0ms

Counts
36 → 36
Iterations

Useful iterations: done (958.0ms)

IterNodesCost
057370
1187348
2934306
done5001302

prune166.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
0.1b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
0.3b
(* (cbrt 3) (* z z))

rewrite185.0ms

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:
23.0ms
(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
117.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
40.0ms
(* (cbrt 3) (* z z))

series395.0ms

Counts
3 → 9
Calls
3 calls:
151.0ms
(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
157.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
87.0ms
(* (cbrt 3) (* z z))

simplify1.4s

Counts
71 → 71
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0891026
1271964
21421670
done5001535

prune307.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes472.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1129
done129

end0.0ms

sample1.6s

Algorithm
intervals
Results
874.0ms12162×body80valid