Details

sample17.0ms

Algorithm

intervals

Results

6.0ms	243×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	4×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify4.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

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:

6.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify87.0ms

Counts: 15 → 15

prune39.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite49.0ms

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:

36.0ms	(* (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)))

series1.2s

Counts

4 → 12

Calls

4 calls:

273.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
295.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
291.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
295.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify63.0ms

Counts: 99 → 99

prune511.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
10×	`cbrt-div`
9×	`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 → 55

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)))
4.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.2s

Counts

4 → 12

Calls

4 calls:

286.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
293.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
295.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
301.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify105.0ms

Counts: 67 → 67

prune257.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
12×	`cbrt-div`
10×	`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 → 58

Calls

4 calls:

3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
4.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.2s

Counts

4 → 12

Calls

4 calls:

296.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
291.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
304.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
302.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify103.0ms

Counts: 70 → 70

prune297.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes107.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample544.0ms

Algorithm

intervals

Results

239.0ms	7333×	body	80	valid
48.0ms	214×	body	1280	valid
17.0ms	191×	body	640	valid
13.0ms	99×	body	2560	valid
7.0ms	106×	body	320	valid
3.0ms	57×	body	160	valid