Details

sample25.0ms

Algorithm

intervals

Results

8.0ms	237×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	5×	body	320	valid
0.0ms	2×	body	2560	valid
0.0ms	4×	body	160	valid
0.0ms	2×	body	640	valid

simplify61.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:

8.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify1.4s

Counts: 15 → 15

prune44.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

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)))

rewrite59.0ms

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:

34.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
12.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.4s

Counts

4 → 12

Calls

4 calls:

337.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
338.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
372.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
363.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify1.0s

Counts: 99 → 99

prune329.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2) (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b	(pow (cbrt (- x (* (/ 3.0 8.0) y))) 2)
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`unpow-prod-down`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`associate-l`
10×	`add-exp-log` `unswap-sqr`
6×	`pow1` `cbrt-div` `associate-r`
5×	`add-cbrt-cube` `unpow2`
4×	`add-log-exp` `sqr-pow`
3×	`pow-unpow` `flip3--` `pow1/3` `prod-exp` `flip--`
2×	`pow-to-exp` `pow-pow` `associate-*r/` `pow-exp`
1×	`pow-plus` `pow3` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

4 → 92

Calls

4 calls:

61.0ms	(* (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2) (cbrt (- x (* (/ 3.0 8.0) y))))
8.0ms	(pow (cbrt (- x (* (/ 3.0 8.0) y))) 2)
4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
10.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.0s

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2) (cbrt (- x (* (/ 3.0 8.0) y))))
287.0ms	(pow (cbrt (- x (* (/ 3.0 8.0) y))) 2)
380.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
303.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify624.0ms

Counts: 104 → 104

prune368.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

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)))

rewrite22.0ms

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

series1.5s

Counts

4 → 12

Calls

4 calls:

371.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
368.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
355.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
362.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify1.4s

Counts: 64 → 64

prune390.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes272.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify70.0ms

end0.0ms

sample694.0ms

Algorithm

intervals

Results

310.0ms	7388×	body	80	valid
55.0ms	221×	body	1280	valid
17.0ms	148×	body	640	valid
16.0ms	89×	body	2560	valid
9.0ms	100×	body	320	valid
3.0ms	54×	body	160	valid