Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	315×	body	80	valid
1.0ms	7×	body	640	valid
1.0ms	5×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify22.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	18	9
2	28	9
3	36	9
4	39	9
done	39	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

28.0ms	(* x (+ y z))
37.0ms	(+ (* x (+ y z)) (* z 5.0))

series75.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* x (+ y z))
33.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify1.9s

Counts

42 → 42

Iterations

Useful iterations: 3 (696.0ms)

Iter	Nodes	Cost
0	72	422
1	213	386
2	701	358
3	2953	356
done	5001	356

prune107.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

111.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
15.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
17.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
18.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

series897.0ms

Counts

4 → 12

Calls

4 calls:

294.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
180.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
221.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
202.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

simplify1.9s

Counts

99 → 99

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	132	2470
1	323	2313
2	941	2133
3	3026	1878
done	5000	1842

prune390.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

16.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
16.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
13.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
22.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

series853.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
210.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
205.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
223.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

simplify1.4s

Counts

64 → 64

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	68	1244
1	184	1216
2	541	1104
3	1885	1040
done	5001	1008

prune374.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.9b	(pow (cbrt (cbrt (+ (* x (+ y z)) (* z 5.0)))) 4)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

18.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
15.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
9.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
19.0ms	(pow (cbrt (cbrt (+ (* x (+ y z)) (* z 5.0)))) 4)

series971.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
254.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
190.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
309.0ms	(pow (cbrt (cbrt (+ (* x (+ y z)) (* z 5.0)))) 4)

simplify2.0s

Counts

75 → 75

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	138	1523
1	355	1426
2	923	1305
3	2942	1239
done	5002	1189

prune433.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes254.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample1.0s

Algorithm

intervals

Results

597.0ms	9781×	body	80	valid
23.0ms	109×	body	1280	valid
22.0ms	118×	body	640	valid
8.0ms	62×	body	320	valid
2.0ms	27×	body	160	valid