Details

Time bar (total: 8.5s)

sample54.0ms

Algorithm
intervals
Results
19.0ms391×body80valid

simplify64.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01315
12615
25413
38313
48813
59013
done9013

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ x (* y z))
5.2b
(* (* a z) b)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity sum-log
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×+-commutative flip3-+ flip-+
1×associate-+l+ associate-*l* *-commutative
Counts
3 → 42
Calls
3 calls:
6.0ms
(+ (+ x (* y z)) (* t a))
3.0ms
(+ x (* y z))
5.0ms
(* (* a z) b)

series29.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ (+ x (* y z)) (* t a))
6.0ms
(+ x (* y z))
6.0ms
(* (* a z) b)

simplify2.4s

Counts
51 → 51
Iterations

Useful iterations: 3 (939.0ms)

IterNodesCost
093492
1258465
2936417
33351415
done5000415

prune71.0ms

Filtered
37 candidates to 51 candidates (-37.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New49251
Fresh011
Picked101
Done000
Total50353

Merged error: 0.0b

Counts
53 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b)
0.6b
(cbrt b)
1.1b
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
4.3b
(* (* a z) (* (cbrt b) (cbrt b)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*r*
4×add-log-exp
2×pow1/3 associate-*l* *-commutative
Counts
4 → 74
Calls
4 calls:
2.0ms
(cbrt b)
2.0ms
(cbrt b)
13.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
13.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

series87.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt b)
23.0ms
(cbrt b)
10.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
27.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

simplify1.3s

Counts
86 → 86
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0117992
1308952
21109689
done5000688

prune104.0ms

Filtered
55 candidates to 86 candidates (-56.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New84286
Fresh022
Picked101
Done000
Total85489

Merged error: 0.0b

Counts
89 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b)
0.6b
(cbrt b)
1.1b
(* (* a (* (* z (cbrt b)) (cbrt b))) (cbrt b))
4.0b
(* a (* (* z (cbrt b)) (cbrt b)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
27×pow1 add-exp-log
17×add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*r*
4×associate-*l* add-log-exp
2×pow1/3 *-commutative
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt b)
1.0ms
(cbrt b)
13.0ms
(* (* a (* (* z (cbrt b)) (cbrt b))) (cbrt b))
12.0ms
(* a (* (* z (cbrt b)) (cbrt b)))

series88.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt b)
24.0ms
(cbrt b)
10.0ms
(* (* a (* (* z (cbrt b)) (cbrt b))) (cbrt b))
27.0ms
(* a (* (* z (cbrt b)) (cbrt b)))

simplify1.0s

Counts
82 → 82
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0121921
1313886
21084663
done5000662

prune101.0ms

Filtered
58 candidates to 82 candidates (-41.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New81182
Fresh033
Picked011
Done000
Total81586

Merged error: 0.0b

Counts
86 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt b) (cbrt b)))
0.7b
(cbrt (cbrt b))
1.1b
(* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b))))
4.3b
(* (* a z) (* (cbrt b) (cbrt b)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
57×pow1 add-exp-log
39×pow-prod-down prod-exp cbrt-unprod
35×add-cbrt-cube
10×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
2×pow1/3 associate-*r* associate-*l* *-commutative
Counts
4 → 85
Calls
4 calls:
4.0ms
(cbrt (* (cbrt b) (cbrt b)))
2.0ms
(cbrt (cbrt b))
16.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b))))
10.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

series110.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(cbrt (* (cbrt b) (cbrt b)))
32.0ms
(cbrt (cbrt b))
10.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b))))
31.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

simplify857.0ms

Counts
97 → 97
Iterations

Useful iterations: done (854.0ms)

IterNodesCost
01541714
14211658
214231248
done50011247

prune78.0ms

Filtered
53 candidates to 97 candidates (-83.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh033
Picked011
Done011
Total975102

Merged error: 0.0b

Counts
102 → 5

regimes492.0ms

Accuracy

78.3% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.2b

bsearch65.0ms

Steps
ItersRangePoint
8
2.3885905512890262e+30
4.990390279759565e+34
1.562520214433052e+31
9
-4.551298900941256e+63
-2.1915575942831417e+58
-2.5642226124843436e+59

simplify7.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02981
14552
done4552

end0.0ms

sample1.4s

Algorithm
intervals
Results
590.0ms11921×body80valid

Profiling

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