Details

sample48.0ms

Algorithm

intervals

Results

20.0ms	307×	body	80	valid
1.0ms	5×	body	640	valid
1.0ms	5×	body	320	valid
0.0ms	4×	body	160	valid

simplify58.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	9	11
1	18	9
2	34	7
3	51	7
4	59	7
done	59	7

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ (+ 3.0 d2) d3))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

118.0ms

(* d1 (+ (+ 3.0 d2) d3))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* d1 (+ (+ 3.0 d2) d3))

simplify1.8s

Counts

27 → 27

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	51	265
1	150	252
2	539	218
3	2806	218
done	5000	218

prune59.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ 3.0 d2) d1)
0.0b	(+ (* (+ 3.0 d2) d1) (* d3 d1))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

21.0ms	(* (+ 3.0 d2) d1)
28.0ms	(+ (* (+ 3.0 d2) d1) (* d3 d1))

series117.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* (+ 3.0 d2) d1)
66.0ms	(+ (* (+ 3.0 d2) d1) (* d3 d1))

simplify2.7s

Counts

39 → 39

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	69	403
1	195	351
2	690	313
3	2733	311
done	5000	311

prune123.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ 3.0 d2))
0.2b	(* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))
0.3b	(* (cbrt (+ 3.0 d2)) d1)
0.3b	(* (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2))) (* (cbrt (+ 3.0 d2)) d1))

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
36×	`associate-*l/`
35×	`flip3-+` `flip-+`
34×	`*-un-lft-identity`
33×	`cbrt-prod`
32×	`frac-times`
28×	`add-sqr-sqrt`
25×	`pow1`
20×	`add-exp-log`
16×	`add-cube-cbrt`
15×	`associate-l`
11×	`associate-r` `pow-prod-down` `add-cbrt-cube`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`swap-sqr`
8×	`distribute-lft-out`
7×	`pow1/3`
6×	`unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 140

Calls

4 calls:

4.0ms	(cbrt (+ 3.0 d2))
68.0ms	(* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))
51.0ms	(* (cbrt (+ 3.0 d2)) d1)
126.0ms	(* (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2))) (* (cbrt (+ 3.0 d2)) d1))

series650.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (+ 3.0 d2))
143.0ms	(* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))
318.0ms	(* (cbrt (+ 3.0 d2)) d1)
39.0ms	(* (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2))) (* (cbrt (+ 3.0 d2)) d1))

simplify2.0s

Counts

152 → 152

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	257	2839
1	676	2664
2	1921	2333
done	5000	2137

prune545.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cbrt (+ 3.0 d2)))
0.3b	(cbrt (cbrt (+ 3.0 d2)))
0.3b	(cbrt (cbrt (+ 3.0 d2)))
0.3b	(* (* (cbrt (cbrt (+ 3.0 d2))) (cbrt (cbrt (+ 3.0 d2)))) (* (cbrt (cbrt (+ 3.0 d2))) d1))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

120×	`cbrt-div`
33×	`cbrt-prod`
32×	`associate-*l/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
16×	`pow1` `add-exp-log` `*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
8×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `distribute-lft-out`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 99

Calls

4 calls:

10.0ms	(cbrt (cbrt (+ 3.0 d2)))
7.0ms	(cbrt (cbrt (+ 3.0 d2)))
5.0ms	(cbrt (cbrt (+ 3.0 d2)))
118.0ms	(* (* (cbrt (cbrt (+ 3.0 d2))) (cbrt (cbrt (+ 3.0 d2)))) (* (cbrt (cbrt (+ 3.0 d2))) d1))

series684.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (cbrt (+ 3.0 d2)))
134.0ms	(cbrt (cbrt (+ 3.0 d2)))
145.0ms	(cbrt (cbrt (+ 3.0 d2)))
288.0ms	(* (* (cbrt (cbrt (+ 3.0 d2))) (cbrt (cbrt (+ 3.0 d2)))) (* (cbrt (cbrt (+ 3.0 d2))) d1))

simplify3.2s

Counts

111 → 111

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	214	2602
1	569	2511
2	1448	2159
3	3543	1911
done	5000	1837

prune516.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.3s

Algorithm

intervals

Results

721.0ms	9574×	body	80	valid
38.0ms	210×	body	640	valid
22.0ms	164×	body	320	valid
17.0ms	72×	body	1280	valid
8.0ms	82×	body	160	valid