Details

sample61.0ms

Algorithm

intervals

Results

14.0ms	29×	body	320	valid
11.0ms	215×	body	80	valid
6.0ms	26×	body	1280	valid
6.0ms	33×	body	640	valid
2.0ms	21×	body	160	valid
1.0ms	5×	body	2560	valid

simplify6.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	9	15
1	20	15
2	64	7
3	151	5
4	480	5
5	1488	5
done	5000	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

35.0ms

(* y (- x z))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(* y (- x z))

simplify3.3s

Counts

29 → 29

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	52	217
1	113	206
2	288	186
3	1040	186
4	3890	186
done	5001	186

prune79.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

48.0ms	(* y (- x z))
123.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
7.0ms	(sqrt (* y (- x z)))
7.0ms	(sqrt (* y (- x z)))

series392.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* y (- x z))
158.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
98.0ms	(sqrt (* y (- x z)))
81.0ms	(sqrt (* y (- x z)))

simplify2.8s

Counts

121 → 121

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	127	1385
1	250	1029
2	720	945
3	2837	895
done	5002	889

prune338.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes51.0ms

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

sample2.5s

Algorithm

intervals

Results

1.1s	6984×	body	80	valid
348.0ms	977×	body	1280	valid
253.0ms	921×	body	640	valid
142.0ms	627×	body	320	valid
120.0ms	213×	body	2560	valid
41.0ms	371×	body	160	valid