Details

Time bar (total: 4.9s)

sample36.0ms

Algorithm
intervals
Results
15.0ms341×body80valid

simplify43.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1157
2347
3657
4867
5957
done957

prune8.0ms

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: 7.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

6.7b
(* (* y (- x z)) t)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*r* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r/ associate-*l/
flip3-- associate-*l* *-commutative flip-- add-log-exp
Counts
1 → 20
Calls
1 calls:
8.0ms
(* (* y (- x z)) t)

series13.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(* (* y (- x z)) t)

simplify856.0ms

Counts
23 → 23
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
057235
1155226
2570180
32621180
done5000180

prune55.0ms

Filtered
15 candidates to 23 candidates (-53.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New17623
Fresh000
Picked011
Done000
Total17724

Merged error: 0.1b

Counts
24 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(* (* (* y (- x z)) (* (cbrt t) (cbrt t))) (cbrt t))
6.3b
(* (* y (- x z)) (* (cbrt t) (cbrt t)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*r*
associate-*l/
associate-*r/ add-log-exp
flip3-- pow1/3 associate-*l* *-commutative flip--
Counts
4 → 78
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
17.0ms
(* (* (* y (- x z)) (* (cbrt t) (cbrt t))) (cbrt t))
13.0ms
(* (* y (- x z)) (* (cbrt t) (cbrt t)))

series132.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt t)
27.0ms
(cbrt t)
18.0ms
(* (* (* y (- x z)) (* (cbrt t) (cbrt t))) (cbrt t))
57.0ms
(* (* y (- x z)) (* (cbrt t) (cbrt t)))

simplify500.0ms

Counts
90 → 90
Iterations

Useful iterations: 2 (118.0ms)

IterNodesCost
01361242
13801173
21399851
done5000851

prune116.0ms

Filtered
61 candidates to 90 candidates (-47.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New87390
Fresh145
Picked011
Done011
Total88997

Merged error: 0.0b

Counts
97 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(* (* y (* (- x z) (* (cbrt t) (cbrt t)))) (cbrt t))
5.0b
(* y (* (- x z) (* (cbrt t) (cbrt t))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
27×pow1 add-exp-log
19×add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*r*
associate-*l/
associate-*r/ associate-*l* add-log-exp
flip3-- pow1/3 *-commutative flip--
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
16.0ms
(* (* y (* (- x z) (* (cbrt t) (cbrt t)))) (cbrt t))
13.0ms
(* y (* (- x z) (* (cbrt t) (cbrt t))))

series133.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt t)
27.0ms
(cbrt t)
18.0ms
(* (* y (* (- x z) (* (cbrt t) (cbrt t)))) (cbrt t))
61.0ms
(* y (* (- x z) (* (cbrt t) (cbrt t))))

simplify488.0ms

Counts
86 → 86
Iterations

Useful iterations: 2 (113.0ms)

IterNodesCost
01381168
13831104
21418814
done5001814

prune121.0ms

Filtered
61 candidates to 86 candidates (-41.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New84286
Fresh066
Picked101
Done022
Total851095

Merged error: 0.0b

Counts
95 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(* (* y (* (- x z) (* (cbrt t) (cbrt t)))) (cbrt (pow (cbrt t) 3)))
0.7b
(pow (cbrt t) 3)
5.0b
(* y (* (- x z) (* (cbrt t) (cbrt t))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-prod
28×pow1 add-exp-log
22×associate-*r*
19×add-cbrt-cube
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×pow-prod-down prod-exp cbrt-unprod
12×unpow-prod-down cube-prod
associate-*l/
associate-*r/ associate-*l* add-log-exp
pow-unpow
cube-mult flip3-- pow-pow pow1/3 unpow3 *-commutative flip-- sqr-pow
pow-to-exp pow-exp rem-cube-cbrt
Counts
4 → 108
Calls
4 calls:
2.0ms
(cbrt t)
23.0ms
(* (* y (* (- x z) (* (cbrt t) (cbrt t)))) (cbrt (pow (cbrt t) 3)))
3.0ms
(pow (cbrt t) 3)
14.0ms
(* y (* (- x z) (* (cbrt t) (cbrt t))))

series145.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt t)
18.0ms
(* (* y (* (- x z) (* (cbrt t) (cbrt t)))) (cbrt (pow (cbrt t) 3)))
42.0ms
(pow (cbrt t) 3)
58.0ms
(* y (* (- x z) (* (cbrt t) (cbrt t))))

simplify647.0ms

Counts
120 → 120
Iterations

Useful iterations: done (644.0ms)

IterNodesCost
01901722
15451209
22064992
done5001971

prune124.0ms

Filtered
65 candidates to 120 candidates (-84.6%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1191120
Fresh077
Picked011
Done022
Total11911130

Merged error: 0.0b

Counts
130 → 11

regimes419.0ms

Accuracy

52.7% (3.0b remaining)

Error of 3.1b against oracle of 0.1b and baseline of 6.4b

bsearch32.0ms

Steps
ItersRangePoint
7
5.5992814127852045e+35
1.8171784245322648e+37
5.6644952843132884e+35
4
-5.390869519443976e+66
-3.2610475474487287e+66
-3.2960282936665467e+66

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02339
13039
done3039

end0.0ms

sample900.0ms

Algorithm
intervals
Results
378.0ms10794×body80valid

Profiling

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