Details

Time bar (total: 8.1s)

sample34.0ms

Algorithm
intervals
Results
18.0ms471×body80valid

simplify21.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0913
11713
23711
34711
done4711

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
55.0ms
(* x (+ (* 2.0 y) x))
16.0ms
(+ (* y y) (* x (+ (* 2.0 y) x)))

series101.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* x (+ (* 2.0 y) x))
40.0ms
(+ (* y y) (* x (+ (* 2.0 y) x)))

simplify719.0ms

Counts
41 → 41
Iterations

Useful iterations: 2 (232.0ms)

IterNodesCost
073527
1252499
21424447
done5001447

prune99.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
19.0ms
(+ (* y (+ (* 2.0 x) y)) (* x x))
26.0ms
(* y (+ (* 2.0 x) y))

series73.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ (* y (+ (* 2.0 x) y)) (* x x))
46.0ms
(* y (+ (* 2.0 x) y))

simplify858.0ms

Counts
41 → 41
Iterations

Useful iterations: 2 (208.0ms)

IterNodesCost
071523
1247499
21385447
done5001447

prune97.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

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)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
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:
12.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
281.0ms
(* (cbrt x) (cbrt x))
270.0ms
(cbrt x)
267.0ms
(cbrt x)
226.0ms
(cbrt x)

simplify1.2s

Counts
85 → 85
Iterations

Useful iterations: done (1.2s)

IterNodesCost
061524
1139417
2735397
done5000383

prune211.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (* 2.0 x) y))
0.0b
(sqrt (+ (* 2.0 x) y))
0.1b
(* y (sqrt (+ (* 2.0 x) y)))
0.2b
(* (* y (sqrt (+ (* 2.0 x) y))) (sqrt (+ (* 2.0 x) y)))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 83
Calls
4 calls:
10.0ms
(sqrt (+ (* 2.0 x) y))
10.0ms
(sqrt (+ (* 2.0 x) y))
32.0ms
(* y (sqrt (+ (* 2.0 x) y)))
76.0ms
(* (* y (sqrt (+ (* 2.0 x) y))) (sqrt (+ (* 2.0 x) y)))

series340.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(sqrt (+ (* 2.0 x) y))
61.0ms
(sqrt (+ (* 2.0 x) y))
145.0ms
(* y (sqrt (+ (* 2.0 x) y)))
72.0ms
(* (* y (sqrt (+ (* 2.0 x) y))) (sqrt (+ (* 2.0 x) y)))

simplify1.3s

Counts
95 → 95
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01381517
13801223
219411127
done50021110

prune315.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11211
done1211

end0.0ms

sample1.4s

Algorithm
intervals
Results
890.0ms14465×body80valid