Details

Time bar (total: 12.4s)

sample18.0ms

Algorithm
intervals
Results
8.0ms243×body80valid
1.0msbody1280valid
0.0msbody320valid
0.0msbody640valid

simplify353.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0811
12011
26111
31459
42249
52299
done2299

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite3.5s

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity add-log-exp
24×sum-log distribute-lft-out
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
Counts
3 → 53
Calls
3 calls:
147.0ms
(+ (+ (+ x y) y) x)
39.0ms
(+ (+ x y) y)
3.3s
(+ (+ (+ (+ (+ x y) y) x) z) x)

series137.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(+ (+ (+ x y) y) x)
45.0ms
(+ (+ x y) y)
27.0ms
(+ (+ (+ (+ (+ x y) y) x) z) x)

simplify899.0ms

Counts
62 → 62
Iterations

Useful iterations: done (896.0ms)

IterNodesCost
088720
1233674
2894632
done5000528

prune152.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
flip3-+ flip-+
associate-*r/ frac-add
sum-log
associate-+l+
pow1 add-exp-log +-commutative distribute-rgt-in add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity distribute-lft-in add-cbrt-cube
Counts
1 → 19
Calls
1 calls:
32.0ms
(+ (* 2 (+ x y)) (+ z x))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(+ (* 2 (+ x y)) (+ z x))

simplify763.0ms

Counts
22 → 22
Iterations

Useful iterations: done (762.0ms)

IterNodesCost
077433
1276406
21169388
done5001380

prune133.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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:
18.0ms
(+ (* 3 x) (+ z (* 2 y)))

series26.0ms

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

simplify1.3s

Counts
16 → 16
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
034225
1113212
2426194
31766194
done5000194

prune71.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* 2 (+ x y))) (cbrt (* 2 (+ x y))))
0.6b
(cbrt (* 2 (+ x y)))
0.6b
(cbrt (* 2 (+ x y)))
0.6b
(cbrt (* 2 (+ x y)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
flip3-+ pow1/3 flip-+
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
31.0ms
(* (cbrt (* 2 (+ x y))) (cbrt (* 2 (+ x y))))
11.0ms
(cbrt (* 2 (+ x y)))
13.0ms
(cbrt (* 2 (+ x y)))
7.0ms
(cbrt (* 2 (+ x y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
377.0ms
(* (cbrt (* 2 (+ x y))) (cbrt (* 2 (+ x y))))
262.0ms
(cbrt (* 2 (+ x y)))
234.0ms
(cbrt (* 2 (+ x y)))
273.0ms
(cbrt (* 2 (+ x y)))

simplify1.9s

Counts
84 → 84
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01201222
12821108
27881019
32372955
done5000927

prune398.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01011
1179
done179

end0.0ms

sample1.3s

Algorithm
intervals
Results
900.0ms7405×body80valid
65.0ms170×body1280valid
33.0ms199×body640valid
16.0ms129×body320valid
10.0ms42×body2560valid
5.0ms66×body160valid