Details

Time bar (total: 20.3s)

sample99.0ms

Algorithm
intervals
Results
25.0ms352×body80valid

simplify22.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
067
1117
2127
done127

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:
6.0ms
(+ x (* (* y z) z))
25.0ms
(* (* y z) z)

series152.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(+ x (* (* y z) z))
51.0ms
(* (* y z) z)

simplify6.7s

Counts
35 → 35
Iterations

Useful iterations: 4 (4.5s)

IterNodesCost
058317
1158295
2570259
31571257
44333256
done5000256

prune107.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
20.8b
(cbrt (* (* y z) z))
20.8b
(cbrt (* (* y z) z))
20.8b
(cbrt (* (* y z) z))

rewrite117.0ms

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:
51.0ms
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
31.0ms
(cbrt (* (* y z) z))
20.0ms
(cbrt (* (* y z) z))
12.0ms
(cbrt (* (* y z) z))

series594.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
167.0ms
(cbrt (* (* y z) z))
129.0ms
(cbrt (* (* y z) z))
135.0ms
(cbrt (* (* y z) z))

simplify2.9s

Counts
70 → 70
Iterations

Useful iterations: done (2.9s)

IterNodesCost
086846
1200763
2485668
31085567
42916545
done5001497

prune362.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (pow (* (pow z 2) y) 1))
9.0b
(* (pow z 2) y)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*l*
7×add-exp-log *-un-lft-identity
5×add-cube-cbrt
4×unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r* prod-exp
2×pow1 unpow2 sqr-pow
1×+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out
Counts
2 → 39
Calls
2 calls:
16.0ms
(+ x (pow (* (pow z 2) y) 1))
32.0ms
(* (pow z 2) y)

series103.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(+ x (pow (* (pow z 2) y) 1))
34.0ms
(* (pow z 2) y)

simplify2.2s

Counts
45 → 45
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
073434
1167360
2510319
31977319
done5001319

prune139.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.6b
(* (* (pow z 2) (* (cbrt y) (cbrt y))) (cbrt y))
6.4b
(* (pow z 2) (* (cbrt y) (cbrt y)))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
25×prod-exp
12×add-sqr-sqrt
11×add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
9×cbrt-prod associate-*l* cbrt-unprod
7×associate-*r*
6×pow1
4×pow-to-exp unpow-prod-down pow-exp add-log-exp unswap-sqr
2×pow1/3 pow-prod-down *-commutative unpow2 sqr-pow
1×pow2
Counts
4 → 78
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
105.0ms
(* (* (pow z 2) (* (cbrt y) (cbrt y))) (cbrt y))
52.0ms
(* (pow z 2) (* (cbrt y) (cbrt y)))

series675.0ms

Counts
4 → 12
Calls
4 calls:
281.0ms
(cbrt y)
258.0ms
(cbrt y)
37.0ms
(* (* (pow z 2) (* (cbrt y) (cbrt y))) (cbrt y))
100.0ms
(* (pow z 2) (* (cbrt y) (cbrt y)))

simplify4.4s

Counts
90 → 90
Iterations

Useful iterations: done (4.4s)

IterNodesCost
099946
1245871
2857624
34404551
done5000544

prune265.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes176.0ms

Accuracy

0% (0.1b 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
067
197
done97

end0.0ms

sample836.0ms

Algorithm
intervals
Results
472.0ms10678×body80valid