Details

sample40.0ms

Algorithm

intervals

Results

9.0ms	226×	body	80	valid
7.0ms	32×	body	1280	valid
4.0ms	27×	body	640	valid
3.0ms	21×	body	320	valid
1.0ms	5×	body	2560	valid
1.0ms	13×	body	160	valid

simplify6.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	9	243
1	21	243
2	60	124
3	168	83
4	391	83
5	1137	83
6	3713	83
done	5000	83

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-l*`
3×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

23.0ms

(* (- x z) y)

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(* (- x z) y)

simplify2.2s

Counts

27 → 27

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	51	4220
1	114	3768
2	309	3688
3	1277	3688
done	5001	3688

prune114.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

18.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

305.0ms	(* (cbrt y) (cbrt y))
253.0ms	(cbrt y)
262.0ms	(cbrt y)
269.0ms	(cbrt y)

simplify4.3s

Counts

93 → 93

Iterations

Useful iterations: 3 (378.0ms)

Iter	Nodes	Cost
0	65	18502
1	140	15989
2	382	15714
3	1076	15034
4	4322	15034
done	5001	15034

prune422.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x z) y)
0.2b	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
3.2b	(sqrt (* (- x z) y))
3.2b	(sqrt (* (- x z) y))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`pow-prod-up` `add-cube-cbrt`
9×	`flip3--` `associate-l` `flip--`
8×	`add-cbrt-cube` `add-exp-log`
7×	`associate-r`
6×	`pow-sqr` `sqrt-prod`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `log1p-expm1-u` `add-log-exp`
2×	`prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 113

Calls

4 calls:

21.0ms	(* (- x z) y)
66.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
15.0ms	(sqrt (* (- x z) y))
12.0ms	(sqrt (* (- x z) y))

series831.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (- x z) y)
96.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
340.0ms	(sqrt (* (- x z) y))
357.0ms	(sqrt (* (- x z) y))

simplify3.5s

Counts

125 → 125

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	132	27067
1	306	19878
2	775	19518
3	2823	19268
done	5001	19168

prune569.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes191.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	83
1	6	83
done	6	83

end0.0ms

sample1.9s

Algorithm

intervals

Results

856.0ms	7097×	body	80	valid
354.0ms	967×	body	1280	valid
164.0ms	934×	body	640	valid
82.0ms	585×	body	320	valid
55.0ms	206×	body	2560	valid
53.0ms	342×	body	160	valid