Details

Time bar (total: 11.9s)

sample19.0ms

Algorithm
intervals
Results
7.0ms245×body80valid
0.0msbody640valid
0.0msbody320valid
0.0msbody1280valid
0.0msbody160valid

simplify266.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
0811
12011
26111
31459
42249
52299
done2299

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
*-un-lft-identity sum-log
associate-+r+
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+
distribute-rgt-in distribute-lft-in distribute-lft-out
Counts
2 → 27
Calls
2 calls:
14.0ms
(+ z (* 2 (+ x y)))
30.0ms
(+ x (+ z (* 2 (+ x y))))

series64.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ z (* 2 (+ x y)))
31.0ms
(+ x (+ z (* 2 (+ x y))))

simplify2.2s

Counts
33 → 33
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
058414
1174380
2602356
33183356
done5001356

prune90.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
sum-log
*-un-lft-identity
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ flip3-+ add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 15
Calls
1 calls:
103.0ms
(+ x (+ (+ z (* 2 x)) (* y 2)))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(+ x (+ (+ z (* 2 x)) (* y 2)))

simplify1.9s

Counts
18 → 18
Iterations

Useful iterations: 3 (664.0ms)

IterNodesCost
044291
1122275
2463217
32688215
done5001215

prune55.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

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:
35.0ms
(+ (* 3 x) (+ z (* 2 y)))

series27.0ms

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

simplify1.3s

Counts
16 → 16
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
034225
1113212
2426194
31766194
done5000194

prune63.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* 3 x) (+ z (* 2 y)))) (cbrt (+ (* 3 x) (+ z (* 2 y)))))
0.5b
(cbrt (+ (* 3 x) (+ z (* 2 y))))
0.5b
(cbrt (+ (* 3 x) (+ z (* 2 y))))
0.5b
(cbrt (+ (* 3 x) (+ z (* 2 y))))

rewrite256.0ms

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:
173.0ms
(* (cbrt (+ (* 3 x) (+ z (* 2 y)))) (cbrt (+ (* 3 x) (+ z (* 2 y)))))
32.0ms
(cbrt (+ (* 3 x) (+ z (* 2 y))))
23.0ms
(cbrt (+ (* 3 x) (+ z (* 2 y))))
24.0ms
(cbrt (+ (* 3 x) (+ z (* 2 y))))

series1.6s

Counts
4 → 12
Calls
4 calls:
463.0ms
(* (cbrt (+ (* 3 x) (+ z (* 2 y)))) (cbrt (+ (* 3 x) (+ z (* 2 y)))))
362.0ms
(cbrt (+ (* 3 x) (+ z (* 2 y))))
394.0ms
(cbrt (+ (* 3 x) (+ z (* 2 y))))
378.0ms
(cbrt (+ (* 3 x) (+ z (* 2 y))))

simplify1.9s

Counts
99 → 99
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01362456
13032261
28162106
322371892
done50011827

prune454.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11411
done1411

end0.0ms

sample1.3s

Algorithm
intervals
Results
840.0ms7421×body80valid
36.0ms189×body1280valid
32.0ms188×body640valid
15.0ms117×body320valid
9.0ms36×body2560valid
5.0ms57×body160valid