Details

sample32.0ms

Algorithm

intervals

Results

8.0ms	226×	body	80	valid
5.0ms	31×	body	1280	valid
3.0ms	23×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	21×	body	160	valid
1.0ms	5×	body	2560	valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 4 (139.0ms)

Iter	Nodes	Cost
0	9	243
1	22	243
2	59	164
3	128	123
4	342	83
5	1412	83
done	5001	83

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

30.0ms

(* y (- x z))

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(* y (- x z))

simplify2.3s

Counts

29 → 29

Iterations

Useful iterations: 3 (304.0ms)

Iter	Nodes	Cost
0	52	4430
1	121	3897
2	317	3857
3	1078	3817
done	5000	3817

prune154.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x z)) (cbrt (- x z)))
0.5b	(cbrt (- x z))
0.5b	(cbrt (- x z))
0.5b	(cbrt (- x z))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

44.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
3.0ms	(cbrt (- x z))
3.0ms	(cbrt (- x z))
4.0ms	(cbrt (- x z))

series837.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
206.0ms	(cbrt (- x z))
215.0ms	(cbrt (- x z))
226.0ms	(cbrt (- x z))

simplify2.6s

Counts

113 → 113

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	131	37200
1	284	31805
2	674	31584
3	1631	30571
done	5000	30408

prune639.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

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×	`pow-prod-up` `add-cube-cbrt`
9×	`flip3--` `associate-r` `flip--`
8×	`add-cbrt-cube` `add-exp-log`
7×	`associate-l`
6×	`pow-sqr` `sqrt-prod`
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` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

33.0ms	(* y (- x z))
60.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
11.0ms	(sqrt (* y (- x z)))
16.0ms	(sqrt (* y (- x z)))

series406.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* y (- x z))
171.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
85.0ms	(sqrt (* y (- x z)))
81.0ms	(sqrt (* y (- x z)))

simplify3.2s

Counts

121 → 121

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	127	25419
1	287	18916
2	734	18596
3	2964	18356
done	5001	18356

prune614.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sqrt y) (- x z))
0.1b	(* (sqrt y) (* (sqrt y) (- x z)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

19.0ms	(* (sqrt y) (- x z))
58.0ms	(* (sqrt y) (* (sqrt y) (- x z)))

series169.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(* (sqrt y) (- x z))
69.0ms	(* (sqrt y) (* (sqrt y) (- x z)))

simplify3.4s

Counts

67 → 67

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	103	15806
1	284	14221
2	818	11461
3	3443	11261
done	5001	11261

prune225.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes180.0ms

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

sample2.0s

Algorithm

intervals

Results

982.0ms	7098×	body	80	valid
270.0ms	948×	body	1280	valid
164.0ms	844×	body	640	valid
113.0ms	520×	body	320	valid
62.0ms	206×	body	2560	valid
50.0ms	515×	body	160	valid