Details

Time bar (total: 10.2s)

sample41.0ms

Algorithm
intervals
Results
22.0ms433×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
08203
115163
224163
327163
done27163

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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-+
1×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
16.0ms
(* x (+ 2.0 x))
8.0ms
(+ (* y y) (* x (+ 2.0 x)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* x (+ 2.0 x))
33.0ms
(+ (* y y) (* x (+ 2.0 x)))

simplify953.0ms

Counts
42 → 42
Iterations

Useful iterations: 2 (241.0ms)

IterNodesCost
0729563
12347243
212726923
done50006923

prune140.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×add-sqr-sqrt pow1 +-commutative *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
1×associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
6.0ms
(+ (* x 2.0) (* x x))
31.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

series111.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(+ (* x 2.0) (* x x))
44.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

simplify1.3s

Counts
31 → 31
Iterations

Useful iterations: 2 (275.0ms)

IterNodesCost
0599590
12086242
215275972
done50015972

prune117.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

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))))

rewrite84.0ms

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 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 → 87
Calls
4 calls:
62.0ms
(* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x)))))
5.0ms
(cbrt (+ (* y y) (* x (+ 2.0 x))))
6.0ms
(cbrt (+ (* y y) (* x (+ 2.0 x))))
7.0ms
(cbrt (+ (* y y) (* x (+ 2.0 x))))

series516.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x)))))
118.0ms
(cbrt (+ (* y y) (* x (+ 2.0 x))))
120.0ms
(cbrt (+ (* y y) (* x (+ 2.0 x))))
112.0ms
(cbrt (+ (* y y) (* x (+ 2.0 x))))

simplify1.2s

Counts
99 → 99
Iterations

Useful iterations: done (1.2s)

IterNodesCost
011843947
129339615
2114539615
done500038895

prune576.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize109.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
62×cbrt-div
19×flip3-+ flip-+
12×frac-times
6×cbrt-prod associate-*l/ associate-*r/
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 64
Calls
4 calls:
4.0ms
(cbrt (+ (* y y) (* x (+ 2.0 x))))
15.0ms
(cbrt (* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x))))))
15.0ms
(cbrt (* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x))))))
16.0ms
(cbrt (* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x))))))

series631.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(cbrt (+ (* y y) (* x (+ 2.0 x))))
164.0ms
(cbrt (* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x))))))
144.0ms
(cbrt (* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x))))))
197.0ms
(cbrt (* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x))))))

simplify2.3s

Counts
76 → 76
Iterations

Useful iterations: done (2.3s)

IterNodesCost
011251602
123845546
274845426
3397544786
done500144392

prune512.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes124.0ms

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
07163
110163
done10163

end0.0ms

sample1.2s

Algorithm
intervals
Results
901.0ms14298×body80valid