Details

Time bar (total: 7.8s)

sample111.0ms

Algorithm
intervals
Results
17.0ms341×body80valid

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
1117
2127
done127

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (* y z) z))
0.2b
(* (* y z) z)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
7.0ms
(+ x (* (* y z) z))
21.0ms
(* (* y z) z)

series144.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(+ x (* (* y z) z))
51.0ms
(* (* y z) z)

simplify918.0ms

Counts
35 → 35
Iterations

Useful iterations: 2 (231.0ms)

IterNodesCost
058317
1164295
2973259
done5001259

prune138.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
18.8b
(cbrt (* (* y z) z))
18.8b
(cbrt (* (* y z) z))
18.8b
(cbrt (* (* y z) z))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
63.0ms
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
23.0ms
(cbrt (* (* y z) z))
14.0ms
(cbrt (* (* y z) z))
13.0ms
(cbrt (* (* y z) z))

series549.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
155.0ms
(cbrt (* (* y z) z))
127.0ms
(cbrt (* (* y z) z))
111.0ms
(cbrt (* (* y z) z))

simplify683.0ms

Counts
70 → 70
Iterations

Useful iterations: done (681.0ms)

IterNodesCost
086846
1218763
2739668
done5001604

prune318.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
8.4b
(cbrt (* y z))
18.8b
(cbrt (* (* y z) z))
18.8b
(cbrt (* (* y z) z))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 38
Calls
4 calls:
1.0ms
(cbrt z)
4.0ms
(cbrt (* y z))
29.0ms
(cbrt (* (* y z) z))
23.0ms
(cbrt (* (* y z) z))

series677.0ms

Counts
4 → 12
Calls
4 calls:
277.0ms
(cbrt z)
116.0ms
(cbrt (* y z))
134.0ms
(cbrt (* (* y z) z))
149.0ms
(cbrt (* (* y z) z))

simplify717.0ms

Counts
50 → 50
Iterations

Useful iterations: done (715.0ms)

IterNodesCost
076385
1164375
2366334
31103293
done5000283

prune263.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
8.4b
(cbrt (* y z))
8.4b
(cbrt (* y z))
18.8b
(cbrt (* (* y z) z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 38
Calls
4 calls:
2.0ms
(cbrt z)
7.0ms
(cbrt (* y z))
7.0ms
(cbrt (* y z))
19.0ms
(cbrt (* (* y z) z))

series721.0ms

Counts
4 → 12
Calls
4 calls:
306.0ms
(cbrt z)
132.0ms
(cbrt (* y z))
119.0ms
(cbrt (* y z))
164.0ms
(cbrt (* (* y z) z))

simplify662.0ms

Counts
50 → 50
Iterations

Useful iterations: done (656.0ms)

IterNodesCost
076354
1164344
2366307
31103270
done5000256

prune225.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes236.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
done97

end0.0ms

sample1.0s

Algorithm
intervals
Results
472.0ms10691×body80valid