Details

Time bar (total: 9.8s)

sample30.0ms

Algorithm
intervals
Results
12.0ms405×body80valid

simplify30.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
0815
11515
22513
3389
4469
5479
done479

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

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:
4.0ms
(+ (* x y) (* 3 (* z z)))
6.0ms
(* 3 (* z z))

series15.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(+ (* x y) (* 3 (* z z)))
3.0ms
(* 3 (* z z))

simplify3.0s

Counts
36 → 36
Iterations

Useful iterations: 3 (290.0ms)

IterNodesCost
057370
1163340
2522306
31448294
43696294
done5001294

prune52.0ms

Filtered
22 candidates to 36 candidates (-63.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New32436
Fresh000
Picked011
Done000
Total32537

Merged error: 0.0b

Counts
37 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

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:
4.0ms
(+ (* x y) (* (* 3 z) z))
6.0ms
(* (* 3 z) z)

series16.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ (* x y) (* (* 3 z) z))
3.0ms
(* (* 3 z) z)

simplify2.1s

Counts
35 → 35
Iterations

Useful iterations: 3 (677.0ms)

IterNodesCost
059365
1178335
2687301
32498287
done5000287

prune44.0ms

Filtered
22 candidates to 35 candidates (-59.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New35035
Fresh033
Picked011
Done011
Total35540

Merged error: 0.0b

Counts
40 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* (sqrt 3) (* (sqrt 3) (* z z))))
0.3b
(* (sqrt 3) (* (sqrt 3) (* z z)))
0.3b
(* (sqrt 3) (* z z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
9×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
7×add-cube-cbrt *-un-lft-identity sqrt-prod
5×add-log-exp
2×associate-*r* *-commutative unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 58
Calls
3 calls:
4.0ms
(+ (* x y) (* (sqrt 3) (* (sqrt 3) (* z z))))
10.0ms
(* (sqrt 3) (* (sqrt 3) (* z z)))
7.0ms
(* (sqrt 3) (* z z))

series32.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ (* x y) (* (sqrt 3) (* (sqrt 3) (* z z))))
10.0ms
(* (sqrt 3) (* (sqrt 3) (* z z)))
5.0ms
(* (sqrt 3) (* z z))

simplify1.9s

Counts
67 → 67
Iterations

Useful iterations: 3 (713.0ms)

IterNodesCost
080847
1231619
2790529
32846513
done5000513

prune88.0ms

Filtered
39 candidates to 67 candidates (-71.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New65267
Fresh112
Picked101
Done022
Total67572

Merged error: 0b

Counts
72 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (sqrt 3)) (* z z))
0.2b
(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z)))
0.3b
(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z))))
1.0b
(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
66×pow1
61×add-exp-log
48×cbrt-prod
46×add-sqr-sqrt
42×pow-prod-down
41×prod-exp cbrt-unprod
37×add-cbrt-cube
27×sqrt-prod
25×associate-*l*
21×add-cube-cbrt *-un-lft-identity
12×associate-*r* unswap-sqr
11×swap-sqr
6×pow1/3
4×*-commutative add-log-exp
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 147
Calls
4 calls:
7.0ms
(* (cbrt (sqrt 3)) (* z z))
18.0ms
(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z)))
19.0ms
(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z))))
8.0ms
(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

series39.0ms

Counts
4 → 10
Calls
4 calls:
26.0ms
(* (cbrt (sqrt 3)) (* z z))
5.0ms
(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z)))
8.0ms
(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z))))
0.0ms
(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

simplify876.0ms

Counts
157 → 157
Iterations

Useful iterations: done (872.0ms)

IterNodesCost
01412428
13472228
213691500
done50001492

prune269.0ms

Filtered
83 candidates to 157 candidates (-89.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1561157
Fresh112
Picked011
Done022
Total1575162

Merged error: 0b

Counts
162 → 5

regimes255.0ms

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
1119
done119

end0.0ms

sample872.0ms

Algorithm
intervals
Results
390.0ms12407×body80valid

Profiling

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