Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	234×	body	80	valid
1.0ms	8×	body	640	valid
1.0ms	5×	body	1280	valid
0.0ms	4×	body	2560	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	160	valid

simplify64.0ms

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	50	7
done	50	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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:

7.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify3.3s

Counts

15 → 15

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	32	172
1	81	165
2	262	151
3	1036	151
4	4733	151
done	5001	151

prune68.0ms

Pruning

3 alts after pruning (2 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))))
0.5b	(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)))

rewrite54.0ms

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:

40.0ms	(* (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)))

series1.3s

Counts

4 → 12

Calls

4 calls:

302.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
337.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
319.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
326.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify6.2s

Counts

99 → 99

Iterations

Useful iterations: done (6.2s)

Iter	Nodes	Cost
0	119	1968
1	260	1825
2	891	1711
3	4665	1549
done	5000	1543

prune594.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.8b	(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 4)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
22×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
8×	`flip3--` `flip--`
5×	`pow1` `add-exp-log`
4×	`frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `associate-r/` `associate-l/`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
10.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
13.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
9.0ms	(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 4)

series1.4s

Counts

4 → 12

Calls

4 calls:

370.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
446.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
329.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
296.0ms	(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 4)

simplify761.0ms

Counts

82 → 82

Iterations

Useful iterations: done (753.0ms)

Iter	Nodes	Cost
0	209	1741
1	479	1657
2	1449	1517
done	5000	1487

prune545.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(pow (pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 2) (sqrt 4))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
23×	`unpow-prod-down`
22×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`flip3--` `flip--`
6×	`add-exp-log` `pow-unpow`
4×	`pow1` `frac-times` `pow-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
2×	`pow-to-exp` `associate-r/` `associate-l/` `sqr-pow`
1×	`pow-pow` `unpow2`

Counts

4 → 79

Calls

4 calls:

3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
24.0ms	(pow (pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 2) (sqrt 4))
4.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
13.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.6s

Counts

4 → 12

Calls

4 calls:

406.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
343.0ms	(pow (pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 2) (sqrt 4))
422.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
420.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify830.0ms

Counts

91 → 91

Iterations

Useful iterations: done (827.0ms)

Iter	Nodes	Cost
0	240	2068
1	522	1847
2	1575	1725
done	5000	1695

prune557.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes284.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample724.0ms

Algorithm

intervals

Results

356.0ms	7426×	body	80	valid
34.0ms	215×	body	1280	valid
20.0ms	149×	body	640	valid
18.0ms	94×	body	2560	valid
6.0ms	74×	body	320	valid
3.0ms	42×	body	160	valid