Details

Time bar (total: 7.6s)

sample45.0ms

Algorithm
intervals
Results
19.0ms378×body80valid

simplify57.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (18.0ms)

IterNodesCost
0815
11515
22513
3389
4489
5529
done529

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
15.0ms
(+ (* x y) (* 3 (* z z)))
25.0ms
(* 3 (* z z))

series103.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(+ (* x y) (* 3 (* z z)))
34.0ms
(* 3 (* z z))

simplify654.0ms

Counts
36 → 36
Iterations

Useful iterations: done (652.0ms)

IterNodesCost
057370
1187348
2934306
done5001302

prune96.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
9.0ms
(+ (* x y) (* (* 3 z) z))
18.0ms
(* (* 3 z) z)

series92.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(+ (* x y) (* (* 3 z) z))
27.0ms
(* (* 3 z) z)

simplify1.1s

Counts
35 → 35
Iterations

Useful iterations: done (1.1s)

IterNodesCost
059365
1181337
21094303
done5000299

prune165.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
associate-+l+
Counts
2 → 25
Calls
2 calls:
9.0ms
(+ (* x y) (* z z))
159.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series114.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(+ (* x y) (* z z))
66.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify793.0ms

Counts
31 → 31
Iterations

Useful iterations: done (791.0ms)

IterNodesCost
056526
1205512
21043409
done5002392

prune123.0ms

Pruning

5 alts after pruning (3 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))))
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
0.3b
(* (cbrt 3) (* z z))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
add-sqr-sqrt associate-*l*
add-cube-cbrt *-un-lft-identity add-log-exp
cbrt-prod
associate-*r* *-commutative unswap-sqr
+-commutative flip3-+ sum-log flip-+
Counts
3 → 62
Calls
3 calls:
16.0ms
(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
107.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
30.0ms
(* (cbrt 3) (* z z))

series369.0ms

Counts
3 → 9
Calls
3 calls:
164.0ms
(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
139.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
66.0ms
(* (cbrt 3) (* z z))

simplify1.2s

Counts
71 → 71
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0891026
1271964
21421670
done5001535

prune257.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes435.0ms

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

sample1.6s

Algorithm
intervals
Results
622.0ms12209×body80valid