Details

Time bar (total: 8.7s)

sample15.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
3.0ms256×pre80true

simplify492.0ms

Counts
1 → 1
Iterations
IterNodes
done5001
5562
4131
343
226
113
04

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (* x x)) (* x x))
0.1b
(* x (* x x))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
7×add-cbrt-cube add-exp-log
5×pow-prod-up
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
1×pow2 +-commutative sum-log distribute-lft1-in flip3-+ pow-plus cube-unmult associate-*r* pow-sqr *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 37
Calls
2 calls:
30.0ms
(+ (* x (* x x)) (* x x))
17.0ms
(* x (* x x))

series143.0ms

Counts
2 → 6
Calls
2 calls:
103.0ms
(+ (* x (* x x)) (* x x))
40.0ms
(* x (* x x))

simplify1.3s

Counts
43 → 43
Iterations
IterNodes
done5001
21417
1192
057

prune123.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
9.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
308.0ms
(* (cbrt x) (cbrt x))
271.0ms
(cbrt x)
284.0ms
(cbrt x)
269.0ms
(cbrt x)

simplify1.3s

Counts
85 → 85
Iterations
IterNodes
done5000
2727
1138
061

prune276.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (pow x 3))
0.0b
(* (sqrt (+ (* x x) (pow x 3))) (sqrt (+ (* x x) (pow x 3))))
29.7b
(sqrt (+ (* x x) (pow x 3)))
29.7b
(sqrt (+ (* x x) (pow x 3)))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-prod
28×add-sqr-sqrt
21×pow1
16×cube-mult sqrt-div
14×*-un-lft-identity add-cube-cbrt
13×swap-sqr
10×sqrt-pow1 pow1/2
9×flip3-+ distribute-rgt-out unpow3 associate-*r* associate-*l* flip-+ distribute-lft-out
7×distribute-rgt1-in
6×add-cbrt-cube add-exp-log add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*l/ associate-*r/
1×pow2 +-commutative sum-log rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 118
Calls
4 calls:
20.0ms
(+ (* x x) (pow x 3))
134.0ms
(* (sqrt (+ (* x x) (pow x 3))) (sqrt (+ (* x x) (pow x 3))))
28.0ms
(sqrt (+ (* x x) (pow x 3)))
26.0ms
(sqrt (+ (* x x) (pow x 3)))

series331.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(+ (* x x) (pow x 3))
125.0ms
(* (sqrt (+ (* x x) (pow x 3))) (sqrt (+ (* x x) (pow x 3))))
61.0ms
(sqrt (+ (* x x) (pow x 3)))
47.0ms
(sqrt (+ (* x x) (pow x 3)))

simplify1.2s

Counts
130 → 130
Iterations
IterNodes
done5000
21599
1282
0116

prune723.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (+ x (pow x 2)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity associate-*r*
5×add-sqr-sqrt
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
2×associate-*r/ unpow2
1×distribute-rgt-in distribute-lft-in flip3-+ distribute-rgt-out pow-prod-down distribute-rgt1-in prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
52.0ms
(* x (+ x (pow x 2)))

series116.0ms

Counts
1 → 3
Calls
1 calls:
116.0ms
(* x (+ x (pow x 2)))

simplify535.0ms

Counts
28 → 28
Iterations
IterNodes
done5000
2899
1152
045

prune68.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample566.0ms

Algorithm
intervals
Results
279.0ms8000×body80valid
109.0ms8000×pre80true