Details

Time bar (total: 8.2s)

sample17.0ms

Algorithm
intervals
Results
5.0ms236×body80valid
1.0msbody1280valid
0.0msbody640valid
0.0msbody2560valid
0.0msbody320valid
0.0msbody160valid

simplify166.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0811
12011
2579
31349
41879
51949
done1949

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (+ z (* 2 (+ x y))))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
*-un-lft-identity sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ flip3-+ add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 14
Calls
1 calls:
7.0ms
(+ x (+ z (* 2 (+ x y))))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(+ x (+ z (* 2 (+ x y))))

simplify762.0ms

Counts
17 → 17
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
038232
1112221
2320203
31519203
done5001203

prune42.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* 3 x) (+ z (* 2 y)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube flip-+
Counts
1 → 13
Calls
1 calls:
6.0ms
(+ (* 3 x) (+ z (* 2 y)))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(+ (* 3 x) (+ z (* 2 y)))

simplify912.0ms

Counts
16 → 16
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
034225
1114212
2378194
31415194
done5001194

prune44.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* 3 x) z)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
3.0ms
(+ (* 3 x) z)

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(+ (* 3 x) z)

simplify1.9s

Counts
14 → 14
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
025124
182117
2200107
3462107
41025107
52409107
done5000107

prune35.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* 3 x) z)) (cbrt (+ (* 3 x) z)))
0.6b
(cbrt (+ (* 3 x) z))
0.6b
(cbrt (+ (* 3 x) z))
0.6b
(cbrt (+ (* 3 x) z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-+ pow1/3 flip-+
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
24.0ms
(* (cbrt (+ (* 3 x) z)) (cbrt (+ (* 3 x) z)))
2.0ms
(cbrt (+ (* 3 x) z))
2.0ms
(cbrt (+ (* 3 x) z))
2.0ms
(cbrt (+ (* 3 x) z))

series939.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(* (cbrt (+ (* 3 x) z)) (cbrt (+ (* 3 x) z)))
225.0ms
(cbrt (+ (* 3 x) z))
224.0ms
(cbrt (+ (* 3 x) z))
226.0ms
(cbrt (+ (* 3 x) z))

simplify2.4s

Counts
99 → 99
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
01261618
12741472
27001382
317891261
449341229
done50001229

prune295.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes87.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1139
done139

end0.0ms

sample382.0ms

Algorithm
intervals
Results
170.0ms7431×body80valid
17.0ms178×body1280valid
14.0ms180×body640valid
7.0ms119×body320valid
4.0ms31×body2560valid
3.0ms70×body160valid