Details

Time bar (total: 10.0s)

sample19.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
3.0ms256×pre80true

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
049
1137
2267
3397
4577
51127
62067
75847
818927
done50007

prune5.0ms

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: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (pow x 3) (* x x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×cube-mult
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt distribute-rgt-out *-un-lft-identity distribute-lft1-in flip3-+ unpow3 sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 14
Calls
1 calls:
7.0ms
(+ (pow x 3) (* x x))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(+ (pow x 3) (* x x))

simplify1.5s

Counts
17 → 17
Iterations

Useful iterations: 3 (364.0ms)

IterNodesCost
031179
192162
2344144
31635142
done5000142

prune33.0ms

Filtered
13 candidates to 17 candidates (-30.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New14317
Fresh000
Picked101
Done000
Total15318

Merged error: 0b

Counts
18 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (+ (* x x) x))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt associate-*r*
4×*-un-lft-identity
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-rgt-out distribute-lft-in distribute-lft1-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
7.0ms
(* x (+ (* x x) x))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* x (+ (* x x) x))

simplify1.9s

Counts
27 → 27
Iterations

Useful iterations: done (1.9s)

IterNodesCost
044255
1126244
2408214
31576211
done5000210

prune34.0ms

Filtered
20 candidates to 27 candidates (-35.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New27027
Fresh022
Picked011
Done000
Total27330

Merged error: 0b

Counts
30 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (pow x 3) (* x x))
0.1b
(pow (+ (pow x 3) (* x x)) 3)
21.0b
(cbrt (pow (+ (pow x 3) (* x x)) 3))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
12×cube-mult unpow-prod-down cube-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×unpow3
5×distribute-rgt-out distribute-lft1-in distribute-lft-out add-log-exp
4×pow1 add-exp-log cube-div add-cbrt-cube
3×pow-unpow flip3-+ flip-+
2×cbrt-div sqr-pow
1×+-commutative pow-to-exp pow-pow pow1/3 pow-exp sum-log rem-cbrt-cube rem-cube-cbrt
Counts
3 → 74
Calls
3 calls:
7.0ms
(+ (pow x 3) (* x x))
8.0ms
(pow (+ (pow x 3) (* x x)) 3)
8.0ms
(cbrt (pow (+ (pow x 3) (* x x)) 3))

series18.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(+ (pow x 3) (* x x))
4.0ms
(pow (+ (pow x 3) (* x x)) 3)
7.0ms
(cbrt (pow (+ (pow x 3) (* x x)) 3))

simplify583.0ms

Counts
83 → 83
Iterations

Useful iterations: done (581.0ms)

IterNodesCost
0961221
1250954
2923862
done5000856

prune105.0ms

Filtered
50 candidates to 83 candidates (-66.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh011
Picked011
Done011
Total83386

Merged error: 0b

Counts
86 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow x 6) (pow x 4))
0.0b
(- (+ (pow x 6) (pow x 4)) (pow x 5))
0.1b
(pow (pow x 3) 3)
53.3b
(/ (+ (pow x 6) (pow (pow x 3) 3)) (- (+ (pow x 6) (pow x 4)) (pow x 5)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
55×add-sqr-sqrt
32×times-frac
25×add-cube-cbrt
24×unpow-prod-down
18×cube-prod difference-of-squares
16×distribute-lft-out
12×distribute-lft-out--
11×add-log-exp
9×sqr-pow
8×add-exp-log associate-/r*
7×add-cbrt-cube
4×pow1 pow-exp associate-/l*
3×cube-mult pow-unpow unpow3
2×pow-to-exp flip3-- flip3-+ diff-log sum-log associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg pow-pow frac-2neg div-exp associate--l+ clear-num div-inv rem-cube-cbrt
Counts
4 → 134
Calls
4 calls:
7.0ms
(+ (pow x 6) (pow x 4))
14.0ms
(- (+ (pow x 6) (pow x 4)) (pow x 5))
5.0ms
(pow (pow x 3) 3)
29.0ms
(/ (+ (pow x 6) (pow (pow x 3) 3)) (- (+ (pow x 6) (pow x 4)) (pow x 5)))

series42.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (pow x 6) (pow x 4))
4.0ms
(- (+ (pow x 6) (pow x 4)) (pow x 5))
5.0ms
(pow (pow x 3) 3)
23.0ms
(/ (+ (pow x 6) (pow (pow x 3) 3)) (- (+ (pow x 6) (pow x 4)) (pow x 5)))

simplify986.0ms

Counts
146 → 146
Iterations

Useful iterations: 2 (191.0ms)

IterNodesCost
01823071
14472823
214762709
done50002709

prune345.0ms

Filtered
79 candidates to 146 candidates (-84.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1460146
Fresh000
Picked011
Done022
Total1463149

Merged error: 0b

Counts
149 → 3

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
167
done67

end0.0ms

sample400.0ms

Algorithm
intervals
Results
151.0ms8000×body80valid
103.0ms8000×pre80true

Profiling

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