Details

Time bar (total: 9.7s)

sample45.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms239×body80nan

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01114
12112
23112
33712
43912
done3912

prune10.0ms

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: 20.2b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ y z))
1.4b
(+ (* y z) (* x (+ y z)))
19.1b
(sqrt (+ (* y z) (* x (+ y z))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
8×*-un-lft-identity
6×pow1 add-cube-cbrt
5×add-exp-log add-cbrt-cube add-log-exp
4×associate-*r*
3×flip3-+ associate-*l* sqrt-prod flip-+
2×distribute-rgt-in associate-+r+ distribute-lft-in sqrt-div associate-*r/
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 51
Calls
3 calls:
6.0ms
(* x (+ y z))
4.0ms
(+ (* y z) (* x (+ y z)))
4.0ms
(sqrt (+ (* y z) (* x (+ y z))))

series48.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* x (+ y z))
7.0ms
(+ (* y z) (* x (+ y z)))
34.0ms
(sqrt (+ (* y z) (* x (+ y z))))

simplify1.4s

Counts
60 → 60
Iterations

Useful iterations: 3 (422.0ms)

IterNodesCost
0105741
1278671
2871631
33016629
done5000629

prune109.0ms

Filtered
43 candidates to 60 candidates (-39.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New52860
Fresh000
Picked011
Done000
Total52961

Merged error: 20.2b

Counts
61 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

1.4b
(+ (* y z) (* x (+ y z)))
1.4b
(+ (* y z) (* x (+ y z)))
19.1b
(sqrt (+ (* y z) (* x (+ y z))))
19.1b
(sqrt (+ (* y z) (* x (+ y z))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
4×add-exp-log associate-+r+ flip3-+ sqrt-div add-cbrt-cube flip-+
2×+-commutative distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 sum-log
Counts
4 → 56
Calls
4 calls:
5.0ms
(+ (* y z) (* x (+ y z)))
5.0ms
(+ (* y z) (* x (+ y z)))
4.0ms
(sqrt (+ (* y z) (* x (+ y z))))
4.0ms
(sqrt (+ (* y z) (* x (+ y z))))

series87.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(+ (* y z) (* x (+ y z)))
8.0ms
(+ (* y z) (* x (+ y z)))
34.0ms
(sqrt (+ (* y z) (* x (+ y z))))
37.0ms
(sqrt (+ (* y z) (* x (+ y z))))

simplify1.4s

Counts
68 → 68
Iterations

Useful iterations: 3 (303.0ms)

IterNodesCost
0711094
1189996
2654936
32546932
done5000932

prune107.0ms

Filtered
54 candidates to 68 candidates (-25.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New67168
Fresh257
Picked011
Done011
Total69877

Merged error: 20.2b

Counts
77 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

1.4b
(+ (* y z) (* x (+ y z)))
19.1b
(sqrt (+ (* y z) (* x (+ y z))))
19.7b
(cbrt (+ (* y z) (* x (+ y z))))
19.7b
(cbrt (+ (* y z) (* x (+ y z))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×cbrt-prod add-log-exp
5×pow1
4×add-exp-log cbrt-div flip3-+ add-cbrt-cube flip-+
3×sqrt-prod
2×associate-+r+ pow1/3 sqrt-div
1×+-commutative distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 sum-log
Counts
4 → 54
Calls
4 calls:
5.0ms
(+ (* y z) (* x (+ y z)))
4.0ms
(sqrt (+ (* y z) (* x (+ y z))))
4.0ms
(cbrt (+ (* y z) (* x (+ y z))))
4.0ms
(cbrt (+ (* y z) (* x (+ y z))))

series168.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(+ (* y z) (* x (+ y z)))
37.0ms
(sqrt (+ (* y z) (* x (+ y z))))
60.0ms
(cbrt (+ (* y z) (* x (+ y z))))
63.0ms
(cbrt (+ (* y z) (* x (+ y z))))

simplify1.3s

Counts
66 → 66
Iterations

Useful iterations: 3 (388.0ms)

IterNodesCost
01071131
12611058
2824976
33008960
done5000960

prune127.0ms

Filtered
57 candidates to 66 candidates (-15.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New65166
Fresh055
Picked011
Done112
Total66874

Merged error: 20.2b

Counts
74 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

19.7b
(cbrt (+ (* y z) (* x (+ y z))))
19.7b
(cbrt (+ (* y z) (* x (+ y z))))
19.7b
(cbrt (+ (* y z) (* x (+ y z))))
19.7b
(cbrt (+ (* y z) (* x (+ y z))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
4.0ms
(cbrt (+ (* y z) (* x (+ y z))))
4.0ms
(cbrt (+ (* y z) (* x (+ y z))))
6.0ms
(cbrt (+ (* y z) (* x (+ y z))))
4.0ms
(cbrt (+ (* y z) (* x (+ y z))))

series247.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(cbrt (+ (* y z) (* x (+ y z))))
60.0ms
(cbrt (+ (* y z) (* x (+ y z))))
63.0ms
(cbrt (+ (* y z) (* x (+ y z))))
60.0ms
(cbrt (+ (* y z) (* x (+ y z))))

simplify2.8s

Counts
64 → 64
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
0601168
11571120
24721016
31517988
44434956
done5000956

prune113.0ms

Filtered
56 candidates to 64 candidates (-14.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New63164
Fresh145
Picked011
Done022
Total64872

Merged error: 20.2b

Counts
72 → 8

regimes208.0ms

Accuracy

0% (0.1b remaining)

Error of 20.3b against oracle of 20.3b and baseline of 20.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11512
done1512

end0.0ms

sample1.4s

Algorithm
intervals
Results
387.0ms8000×body80valid
379.0ms8116×body80nan

Profiling

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