Details

sample73.0ms

Algorithm

intervals

Results

14.0ms	22×	body	320	valid
13.0ms	220×	body	80	valid
10.0ms	35×	body	1280	valid
9.0ms	39×	body	640	valid
2.0ms	5×	body	2560	valid
1.0ms	10×	body	160	valid

simplify6.5s

Counts

1 → 1

Iterations

Useful iterations: 5 (2.1s)

Iter	Nodes	Cost
0	9	15
1	23	13
2	75	11
3	215	9
4	741	7
5	4690	5
done	5000	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite42.0ms

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)

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* (- x z) y)

simplify5.7s

Counts

27 → 27

Iterations

Useful iterations: 3 (859.0ms)

Iter	Nodes	Cost
0	51	197
1	114	190
2	447	172
3	4961	170
done	5000	170

prune85.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x z) y)
0.3b	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
2.6b	(sqrt (* (- x z) y))
2.6b	(sqrt (* (- x z) y))

rewrite145.0ms

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:

26.0ms	(* (- x z) y)
91.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
10.0ms	(sqrt (* (- x z) y))
10.0ms	(sqrt (* (- x z) y))

series874.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (- x z) y)
95.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
382.0ms	(sqrt (* (- x z) y))
358.0ms	(sqrt (* (- x z) y))

simplify1.0s

Counts

125 → 125

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	132	1417
1	310	1056
2	1487	966
done	5002	946

prune424.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.0s	7045×	body	80	valid
275.0ms	945×	body	640	valid
248.0ms	941×	body	1280	valid
129.0ms	668×	body	320	valid
106.0ms	201×	body	2560	valid
88.0ms	362×	body	160	valid