Details

sample56.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
12.0ms	252×	body	80	nan

simplify76.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	11	284
1	22	244
2	44	219
3	64	219
4	69	219
5	70	219
done	70	219

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize43.0ms

Local error

Found 3 expressions with local error:

0.4b	(+ (* x y) (* x z))
0.6b	(+ (+ (* x y) (* x z)) (* y z))
17.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`add-sqr-sqrt`
5×	`fma-def` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `sum-log`
3×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `add-exp-log` `sqrt-prod` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `sqrt-div` `distribute-lft-out`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

3 → 51

Calls

3 calls:

12.0ms	(+ (* x y) (* x z))
52.0ms	(+ (+ (* x y) (* x z)) (* y z))
54.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series290.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(+ (* x y) (* x z))
29.0ms	(+ (+ (* x y) (* x z)) (* y z))
197.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.6s

Counts

60 → 60

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	91	16152
1	271	11793
2	1221	11548
done	5001	11498

prune461.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 18.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (+ (* x y) (* x z)) (* y z))
0.6b	(+ (+ (* x y) (* x z)) (* y z))
17.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
10×	`add-sqr-sqrt`
8×	`fma-def` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `sum-log` `sqrt-prod`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `distribute-lft-out`

Counts

4 → 72

Calls

4 calls:

51.0ms	(+ (+ (* x y) (* x z)) (* y z))
31.0ms	(+ (+ (* x y) (* x z)) (* y z))
27.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
35.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series384.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (+ (* x y) (* x z)) (* y z))
29.0ms	(+ (+ (* x y) (* x z)) (* y z))
166.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
151.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.4s

Counts

84 → 84

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	73	25116
1	205	18310
2	1059	17870
done	5000	17770

prune691.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 18.1b

localize62.0ms

Local error

Found 4 expressions with local error:

4.4b	(sqrt (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
17.7b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
17.7b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
17.7b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
12×	`pow1`
9×	`cbrt-prod` `sqrt-pow1` `flip3-+` `pow1/3` `flip-+`
8×	`sqrt-div`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `rem-sqrt-square` `pow-plus` `pow1/2` `sqrt-prod`

Counts

4 → 74

Calls

4 calls:

58.0ms	(sqrt (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
14.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
14.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
18.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series1.3s

Counts

4 → 12

Calls

4 calls:

345.0ms	(sqrt (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
295.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
333.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
301.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify3.1s

Counts

86 → 86

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	108	39555
1	223	32297
2	582	30410
3	2184	29930
done	5000	28926

prune844.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 18.1b

localize108.0ms

Local error

Found 4 expressions with local error:

17.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.7b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
17.7b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `pow1` `sqrt-prod`
4×	`expm1-log1p-u` `cbrt-div` `flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 64

Calls

4 calls:

27.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
27.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
25.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
24.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series995.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
140.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
327.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
333.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify2.8s

Counts

76 → 76

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	92	29854
1	227	24786
2	756	22866
3	3921	22386
done	5000	22186

prune759.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 18.1b

regimes827.0ms

Accuracy

0% (0.1b remaining)

Error of 20.0b against oracle of 19.9b and baseline of 20.0b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	284
1	17	284
done	17	284

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
670.0ms	7874×	body	80	nan