Details

sample33.0ms

Algorithm

intervals

Results

11.0ms	238×	body	80	valid
2.0ms	9×	body	1280	valid
1.0ms	4×	body	2560	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify45.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	12	7
2	25	7
3	34	7
4	41	7
5	47	7
6	49	7
done	49	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

5.0ms

(- x (* (/ 3.0 8.0) y))

series32.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(- x (* (/ 3.0 8.0) y))

simplify2.8s

Counts

15 → 15

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	32	172
1	81	165
2	256	151
3	907	151
4	2826	151
done	5002	151

prune66.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite71.0ms

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:

49.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
7.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
6.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
6.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.7s

Counts

4 → 12

Calls

4 calls:

428.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
414.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
455.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
443.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify4.2s

Counts

99 → 99

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	119	1968
1	238	1825
2	635	1711
3	1668	1540
4	4595	1496
done	5000	1441

prune349.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(cbrt (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

29×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-div`
6×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--`
1×	`unpow2` `sqr-pow`

Counts

4 → 61

Calls

4 calls:

5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
6.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
13.0ms	(cbrt (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2))
7.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.8s

Counts

4 → 12

Calls

4 calls:

384.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
692.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
295.0ms	(cbrt (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2))
450.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify1.6s

Counts

73 → 73

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	141	1231
1	291	1094
2	676	1038
3	1770	1006
done	5001	975

prune464.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
22×	`cbrt-div`
15×	`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 → 73

Calls

4 calls:

7.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
8.0ms	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
8.0ms	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
6.0ms	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.7s

Counts

4 → 12

Calls

4 calls:

383.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
389.0ms	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
448.0ms	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
458.0ms	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify3.0s

Counts

85 → 85

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	109	1579
1	210	1534
2	494	1456
3	1337	1428
4	3488	1340
done	5001	1340

prune496.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes171.0ms

Accuracy

0% (0.0b 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)

Iter	Nodes	Cost
0	7	7
1	8	7
done	8	7

end0.0ms

sample695.0ms

Algorithm

intervals

Results

314.0ms	7354×	body	80	valid
45.0ms	110×	body	2560	valid
40.0ms	241×	body	1280	valid
19.0ms	168×	body	640	valid
8.0ms	91×	body	320	valid
2.0ms	36×	body	160	valid