Details

Time bar (total: 5.6s)

sample55.0ms

Algorithm
intervals
Results
19.0ms391×body80valid

simplify54.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01315
12615
25413
38513
49213
59413
done9413

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

localize11.0ms

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:
5.0ms
(+ (+ x (* y z)) (* t a))
3.0ms
(+ x (* y z))
6.0ms
(* (* a z) b)

series33.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ (+ x (* y z)) (* t a))
9.0ms
(+ x (* y z))
6.0ms
(* (* a z) b)

simplify1.0s

Counts
51 → 51
Iterations

Useful iterations: 3 (362.0ms)

IterNodesCost
093492
1267465
2964417
33687415
done5000415

prune75.0ms

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

localize18.0ms

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)))

rewrite29.0ms

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:
1.0ms
(cbrt b)
1.0ms
(cbrt b)
13.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
11.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

series91.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt b)
29.0ms
(cbrt b)
10.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
28.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

simplify458.0ms

Counts
86 → 86
Iterations

Useful iterations: done (455.0ms)

IterNodesCost
0117992
1315954
21159689
done5000688

prune112.0ms

Filtered
56 candidates to 86 candidates (-53.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New84286
Fresh022
Picked101
Done000
Total85489

Merged error: 0.0b

Counts
89 → 4

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)))

rewrite41.0ms

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))
20.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b))))
10.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

series114.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(cbrt (* (cbrt b) (cbrt b)))
33.0ms
(cbrt (cbrt b))
10.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b))))
28.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

simplify490.0ms

Counts
97 → 97
Iterations

Useful iterations: done (487.0ms)

IterNodesCost
01541714
14251659
214961248
done50011247

prune101.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New96197
Fresh033
Picked011
Done000
Total965101

Merged error: 0.0b

Counts
101 → 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 (* (cbrt b) (cbrt b))) (cbrt (cbrt b))))) (cbrt b))
4.3b
(* (* a z) (* (cbrt b) (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
54×pow1 add-exp-log
37×pow-prod-down prod-exp cbrt-unprod
31×add-cbrt-cube
13×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 → 87
Calls
4 calls:
4.0ms
(cbrt (* (cbrt b) (cbrt b)))
2.0ms
(cbrt (cbrt b))
17.0ms
(* (* (* a z) (* (cbrt b) (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b))))) (cbrt b))
13.0ms
(* (* a z) (* (cbrt b) (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b)))))

series114.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(cbrt (* (cbrt b) (cbrt b)))
33.0ms
(cbrt (cbrt b))
11.0ms
(* (* (* a z) (* (cbrt b) (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b))))) (cbrt b))
32.0ms
(* (* a z) (* (cbrt b) (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b)))))

simplify532.0ms

Counts
99 → 99
Iterations

Useful iterations: 2 (131.0ms)

IterNodesCost
01601944
14301888
216641445
done50001445

prune85.0ms

Filtered
59 candidates to 99 candidates (-67.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh033
Picked011
Done011
Total995104

Merged error: 0.0b

Counts
104 → 5

regimes519.0ms

Accuracy

79.5% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.3b

bsearch67.0ms

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

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02981
14552
done4552

end0.0ms

sample1.4s

Algorithm
intervals
Results
596.0ms11921×body80valid

Profiling

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