Details

Time bar (total: 12.2s)

sample32.0ms

Algorithm
intervals
Results
16.0ms331×body80valid

simplify43.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1157
2257
3337
4377
5437
done437

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
associate-*l*
distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
14.0ms
(+ x (* y (+ z x)))
35.0ms
(* y (+ z x))

series89.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ x (* y (+ z x)))
47.0ms
(* y (+ z x))

simplify2.6s

Counts
42 → 42
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
067376
1187348
2601318
32704318
done5000318

prune91.0ms

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
*-un-lft-identity sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+
associate-+r+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
24.0ms
(+ x (+ (* z y) (* y x)))
21.0ms
(+ (* z y) (* y x))

series73.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (+ (* z y) (* y x)))
39.0ms
(+ (* z y) (* y x))

simplify1.9s

Counts
31 → 31
Iterations

Useful iterations: 3 (712.0ms)

IterNodesCost
052400
1169300
2630280
32562278
done5000278

prune92.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
associate-*r* associate-*l*
add-exp-log
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 → 95
Calls
4 calls:
53.0ms
(* (cbrt (+ z x)) (cbrt (+ z x)))
7.0ms
(cbrt (+ z x))
13.0ms
(cbrt (+ z x))
7.0ms
(cbrt (+ z x))

series792.0ms

Counts
4 → 12
Calls
4 calls:
236.0ms
(* (cbrt (+ z x)) (cbrt (+ z x)))
172.0ms
(cbrt (+ z x))
197.0ms
(cbrt (+ z x))
186.0ms
(cbrt (+ z x))

simplify2.5s

Counts
107 → 107
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01161266
12491147
25911089
314141012
440771006
done5001967

prune339.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ z x))
0.5b
(cbrt (+ z x))
0.5b
(cbrt (pow (cbrt (+ z x)) 2))
0.5b
(cbrt (cbrt (+ z x)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
35×cbrt-prod
19×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
cbrt-div
unpow-prod-down
pow1 add-exp-log pow1/3 add-cbrt-cube distribute-lft-out add-log-exp
flip3-+ flip-+
unpow2 sqr-pow
Counts
4 → 65
Calls
4 calls:
6.0ms
(cbrt (+ z x))
6.0ms
(cbrt (+ z x))
15.0ms
(cbrt (pow (cbrt (+ z x)) 2))
8.0ms
(cbrt (cbrt (+ z x)))

series858.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(cbrt (+ z x))
142.0ms
(cbrt (+ z x))
325.0ms
(cbrt (pow (cbrt (+ z x)) 2))
253.0ms
(cbrt (cbrt (+ z x)))

simplify1.3s

Counts
77 → 77
Iterations

Useful iterations: 3 (424.0ms)

IterNodesCost
0145857
1319763
2697723
31770703
done5000703

prune387.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1119
done119

end0.0ms

sample687.0ms

Algorithm
intervals
Results
419.0ms10090×body80valid