Details

Time bar (total: 22.1s)

sample85.0ms

Algorithm
intervals
Results
40.0ms456×body80valid

simplify61.0ms

Counts
1 → 1
Iterations
IterNodes
done25
325
224
115
08

prune35.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ 2.0 x))
0.0b
(+ (* y y) (* x (+ 2.0 x)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+ insert-posit16
1×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 38
Calls
2 calls:
38.0ms
(* x (+ 2.0 x))
40.0ms
(+ (* y y) (* x (+ 2.0 x)))

series123.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(* x (+ 2.0 x))
44.0ms
(+ (* y y) (* x (+ 2.0 x)))

simplify2.4s

Counts
44 → 44
Iterations
IterNodes
done5000
2911
1224
074

prune491.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize146.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x)))))
0.6b
(cbrt (+ (* y y) (* x (+ 2.0 x))))
0.6b
(cbrt (+ (* y y) (* x (+ 2.0 x))))
0.6b
(cbrt (+ (* y y) (* x (+ 2.0 x))))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
123.0ms
(* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x)))))
16.0ms
(cbrt (+ (* y y) (* x (+ 2.0 x))))
11.0ms
(cbrt (+ (* y y) (* x (+ 2.0 x))))
11.0ms
(cbrt (+ (* y y) (* x (+ 2.0 x))))

series1.1s

Counts
4 → 12
Calls
4 calls:
306.0ms
(* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x)))))
285.0ms
(cbrt (+ (* y y) (* x (+ 2.0 x))))
265.0ms
(cbrt (+ (* y y) (* x (+ 2.0 x))))
240.0ms
(cbrt (+ (* y y) (* x (+ 2.0 x))))

simplify5.1s

Counts
103 → 103
Iterations
IterNodes
done5012
32799
2814
1285
0120

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize108.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (* y y) (* x (+ 2.0 x))))
0.0b
(+ (* y y) (* x (+ 2.0 x)))
0.0b
(+ (* y y) (* x (+ 2.0 x)))
0.1b
(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
14×sqrt-div
13×*-un-lft-identity add-cube-cbrt
9×sqrt-pow1 flip3-+ pow1/2 flip-+
8×swap-sqr add-log-exp
6×add-cbrt-cube associate-*r* associate-*l* add-exp-log
5×pow-prod-up
4×frac-times associate-+r+ insert-posit16 unswap-sqr
3×pow-prod-down pow-sqr
2×distribute-rgt-in +-commutative sum-log distribute-lft-in associate-*l/ associate-*r/
1×pow2 rem-sqrt-square rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
34.0ms
(sqrt (+ (* y y) (* x (+ 2.0 x))))
29.0ms
(+ (* y y) (* x (+ 2.0 x)))
19.0ms
(+ (* y y) (* x (+ 2.0 x)))
123.0ms
(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

series360.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(sqrt (+ (* y y) (* x (+ 2.0 x))))
55.0ms
(+ (* y y) (* x (+ 2.0 x)))
59.0ms
(+ (* y y) (* x (+ 2.0 x)))
74.0ms
(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

simplify7.3s

Counts
114 → 114
Iterations
IterNodes
done5001
33983
2846
1281
0116

prune951.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes423.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.1s14314×body80valid