Details

sample48.0ms

Algorithm

intervals

Results

19.0ms	215×	body	80	valid
4.0ms	24×	body	1280	valid
4.0ms	30×	body	640	valid
3.0ms	27×	body	320	valid
2.0ms	28×	body	160	valid
1.0ms	5×	body	2560	valid

simplify9.6s

Counts

1 → 1

Iterations

Useful iterations: 4 (284.0ms)

Iter	Nodes	Cost
0	9	15
1	23	13
2	77	8
3	200	7
4	607	5
5	1872	5
done	5000	5

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

40.0ms

(* (- x z) y)

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(* (- x z) y)

simplify5.1s

Counts

27 → 27

Iterations

Useful iterations: 3 (482.0ms)

Iter	Nodes	Cost
0	51	197
1	109	190
2	349	174
3	1285	170
4	4544	170
done	5000	170

prune88.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x z) y)
0.2b	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
2.9b	(sqrt (* (- x z) y))
2.9b	(sqrt (* (- x z) y))

rewrite191.0ms

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×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-l` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 113

Calls

4 calls:

44.0ms	(* (- x z) y)
113.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
15.0ms	(sqrt (* (- x z) y))
11.0ms	(sqrt (* (- x z) y))

series825.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (- x z) y)
84.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
335.0ms	(sqrt (* (- x z) y))
349.0ms	(sqrt (* (- x z) y))

simplify3.6s

Counts

125 → 125

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	132	1417
1	266	1048
2	835	964
3	3345	920
done	5001	908

prune272.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes46.0ms

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	5
1	6	5
done	6	5

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.2s	6983×	body	80	valid
263.0ms	952×	body	1280	valid
228.0ms	829×	body	640	valid
118.0ms	212×	body	2560	valid
91.0ms	548×	body	320	valid
62.0ms	569×	body	160	valid