Details

Time bar (total: 18.6s)

sample62.0ms

Algorithm
intervals
Results
20.0ms281×body80valid
12.0ms249×body80nan

simplify204.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
12110
24710
37110
410310
512010
613310
714310
done14310

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.3b
(* y (sqrt z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube add-log-exp
3×associate-*l*
2×unswap-sqr
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 33
Calls
2 calls:
10.0ms
(+ x (* y (sqrt z)))
14.0ms
(* y (sqrt z))

series134.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(+ x (* y (sqrt z)))
73.0ms
(* y (sqrt z))

simplify5.1s

Counts
39 → 39
Iterations

Useful iterations: 4 (2.2s)

IterNodesCost
086362
1220323
2552297
31330288
43985283
done5000283

prune151.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (sqrt z))
0.2b
(sqrt (sqrt z))
0.2b
(* y (sqrt (sqrt z)))
0.4b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
3.0ms
(sqrt (sqrt z))
26.0ms
(* y (sqrt (sqrt z)))
81.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series683.0ms

Counts
4 → 12
Calls
4 calls:
245.0ms
(sqrt (sqrt z))
235.0ms
(sqrt (sqrt z))
149.0ms
(* y (sqrt (sqrt z)))
53.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify2.8s

Counts
100 → 100
Iterations

Useful iterations: done (2.8s)

IterNodesCost
0132915
1339716
2963650
32584634
done5000618

prune325.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z)))) (sqrt (sqrt (cbrt z))))
0.4b
(* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z))))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log sqrt-prod add-cbrt-cube
13×associate-*r*
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
4×add-log-exp
2×pow1/3 *-commutative
Counts
4 → 73
Calls
4 calls:
140.0ms
(* (* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z)))) (sqrt (sqrt (cbrt z))))
53.0ms
(* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z))))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.1s

Counts
4 → 12
Calls
4 calls:
316.0ms
(* (* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z)))) (sqrt (sqrt (cbrt z))))
180.0ms
(* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z))))
283.0ms
(cbrt z)
303.0ms
(cbrt z)

simplify1.5s

Counts
85 → 85
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01751279
14421111
21620993
done5000957

prune512.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (fabs (cbrt (sqrt z))) y) (sqrt (cbrt (sqrt z))))
0.4b
(* (* (* (fabs (cbrt (sqrt z))) y) (sqrt (cbrt (sqrt z)))) (sqrt (sqrt z)))
0.6b
(cbrt (sqrt z))
0.6b
(cbrt (sqrt z))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
21×associate-*r*
18×pow1 add-exp-log cbrt-prod add-cbrt-cube
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×pow1/3 associate-*l* *-commutative
Counts
4 → 82
Calls
4 calls:
39.0ms
(* (* (fabs (cbrt (sqrt z))) y) (sqrt (cbrt (sqrt z))))
108.0ms
(* (* (* (fabs (cbrt (sqrt z))) y) (sqrt (cbrt (sqrt z)))) (sqrt (sqrt z)))
2.0ms
(cbrt (sqrt z))
2.0ms
(cbrt (sqrt z))

series769.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* (* (fabs (cbrt (sqrt z))) y) (sqrt (cbrt (sqrt z))))
181.0ms
(* (* (* (fabs (cbrt (sqrt z))) y) (sqrt (cbrt (sqrt z)))) (sqrt (sqrt z)))
238.0ms
(cbrt (sqrt z))
216.0ms
(cbrt (sqrt z))

simplify1.6s

Counts
94 → 94
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01491335
13821193
214461020
done5001995

prune444.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes316.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
11310
done1310

end0.0ms

sample2.3s

Algorithm
intervals
Results
542.0ms8578×body80nan
501.0ms8536×body80valid