Details

sample27.0ms

Algorithm

intervals

Results

10.0ms	234×	body	80	valid
1.0ms	9×	body	320	valid
1.0ms	4×	body	2560	valid
1.0ms	4×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	1×	body	160	valid

simplify57.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

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))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify2.7s

Counts

15 → 15

Iterations

Useful iterations: 2 (33.0ms)

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

prune45.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

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:

32.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.4s

Counts

4 → 12

Calls

4 calls:

314.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
301.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
412.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
350.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify3.1s

Counts

99 → 99

Iterations

Useful iterations: done (3.1s)

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

prune265.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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

series1.2s

Counts

4 → 12

Calls

4 calls:

290.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
280.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
289.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
363.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify2.5s

Counts

64 → 64

Iterations

Useful iterations: 4 (988.0ms)

Iter	Nodes	Cost
0	64	976
1	137	948
2	358	884
3	1061	848
4	2890	808
done	5000	808

prune330.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
13.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.7s

Counts

4 → 12

Calls

4 calls:

358.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
392.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
632.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
352.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify2.8s

Counts

64 → 64

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	64	976
1	137	948
2	358	884
3	1061	848
4	2890	808
done	5000	808

prune366.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes195.0ms

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

sample721.0ms

Algorithm

intervals

Results

364.0ms	7427×	body	80	valid
67.0ms	190×	body	1280	valid
24.0ms	149×	body	640	valid
22.0ms	100×	body	2560	valid
9.0ms	88×	body	320	valid
4.0ms	46×	body	160	valid