Details

sample134.0ms

Algorithm

intervals

Results

48.0ms

346×

body

valid

simplify59.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	12	7
done	12	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize93.0ms

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:

7.0ms	(+ x (* (* y z) z))
24.0ms	(* (* y z) z)

series113.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(+ x (* (* y z) z))
43.0ms	(* (* y z) z)

simplify6.9s

Counts

35 → 35

Iterations

Useful iterations: 4 (4.2s)

Iter	Nodes	Cost
0	58	317
1	158	295
2	570	259
3	1571	257
4	4333	256
done	5000	256

prune122.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

69.0ms	(* (cbrt (+ x (* (* y z) z))) (cbrt (+ x (* (* y z) z))))
4.0ms	(cbrt (+ x (* (* y z) z)))
3.0ms	(cbrt (+ x (* (* y z) z)))
3.0ms	(cbrt (+ x (* (* y z) z)))

series775.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (cbrt (+ x (* (* y z) z))) (cbrt (+ x (* (* y z) z))))
201.0ms	(cbrt (+ x (* (* y z) z)))
151.0ms	(cbrt (+ x (* (* y z) z)))
191.0ms	(cbrt (+ x (* (* y z) z)))

simplify2.3s

Counts

99 → 99

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	133	2056
1	315	1906
2	838	1776
3	2018	1571
done	5001	1536

prune413.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (* (* y z) z)))
0.6b	(cbrt (cbrt (+ x (* (* y z) z))))
0.6b	(cbrt (cbrt (+ x (* (* y z) z))))
0.6b	(cbrt (cbrt (+ x (* (* y z) z))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

3.0ms	(cbrt (+ x (* (* y z) z)))
4.0ms	(cbrt (cbrt (+ x (* (* y z) z))))
4.0ms	(cbrt (cbrt (+ x (* (* y z) z))))
4.0ms	(cbrt (cbrt (+ x (* (* y z) z))))

series964.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (+ x (* (* y z) z)))
240.0ms	(cbrt (cbrt (+ x (* (* y z) z))))
285.0ms	(cbrt (cbrt (+ x (* (* y z) z))))
264.0ms	(cbrt (cbrt (+ x (* (* y z) z))))

simplify3.3s

Counts

73 → 73

Iterations

Useful iterations: 4 (2.1s)

Iter	Nodes	Cost
0	114	1305
1	277	1263
2	701	1177
3	1676	1115
4	4329	1080
done	5001	1080

prune352.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (pow (* (pow z 2) y) 1))
10.1b	(* (pow z 2) y)

rewrite26.0ms

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:

11.0ms	(+ x (pow (* (pow z 2) y) 1))
13.0ms	(* (pow z 2) y)

series88.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ x (pow (* (pow z 2) y) 1))
28.0ms	(* (pow z 2) y)

simplify2.3s

Counts

45 → 45

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	73	434
1	167	360
2	510	319
3	1977	319
done	5001	319

prune147.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes188.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
done	9	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

685.0ms

10733×

body

valid