Details

sample39.0ms

Algorithm

intervals

Results

8.0ms	24×	body	1280	valid
8.0ms	215×	body	80	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

simplify5.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (139.0ms)

Iter	Nodes	Cost
0	9	15
1	22	13
2	68	9
3	156	7
4	525	5
5	1652	5
done	5000	5

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite30.0ms

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×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

28.0ms

(* (- x z) y)

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(* (- x z) y)

simplify4.5s

Counts

25 → 25

Iterations

Useful iterations: 3 (503.0ms)

Iter	Nodes	Cost
0	49	185
1	105	178
2	341	162
3	1216	158
4	4158	158
done	5001	158

prune59.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

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))

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×	`frac-times` `swap-sqr` `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 → 105

Calls

4 calls:

27.0ms	(* (- x z) y)
93.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
8.0ms	(sqrt (* (- x z) y))
8.0ms	(sqrt (* (- x z) y))

series872.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (- x z) y)
98.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
377.0ms	(sqrt (* (- x z) y))
359.0ms	(sqrt (* (- x z) y))

simplify3.1s

Counts

117 → 117

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	126	1349
1	253	1001
2	801	917
3	3184	873
done	5000	867

prune318.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes66.0ms

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

sample2.2s

Algorithm

intervals

Results

1.0s	6983×	body	80	valid
297.0ms	952×	body	1280	valid
152.0ms	829×	body	640	valid
104.0ms	548×	body	320	valid
102.0ms	212×	body	2560	valid
55.0ms	569×	body	160	valid