Details

sample56.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
13.0ms	256×	pre	80	true

simplify251.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	165
1	17	165
2	51	165
3	123	165
4	252	165
5	285	165
done	285	165

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize26.0ms

Local error

Found 2 expressions with local error:

0.5b	(+ b (+ c d))
2.8b	(+ a (+ b (+ c d)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `add-log-exp`
9×	`sum-log` `distribute-lft-out`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r+` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`

Counts

2 → 32

Calls

2 calls:

24.0ms	(+ b (+ c d))
69.0ms	(+ a (+ b (+ c d)))

series59.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ b (+ c d))
41.0ms	(+ a (+ b (+ c d)))

simplify2.3s

Counts

38 → 38

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	55	7237
1	164	6005
2	599	6005
3	3019	6005
done	5001	6005

prune209.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.4b

localize17.0ms

Local error

Found 1 expressions with local error:

2.8b	(+ a (+ (+ b c) d))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
6×	`sum-log` `distribute-lft-out`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r+` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`

Counts

1 → 17

Calls

1 calls:

58.0ms

(+ a (+ (+ b c) d))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(+ a (+ (+ b c) d))

simplify2.7s

Counts

20 → 20

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	40	4231
1	109	3590
2	524	3510
3	2900	3510
done	5002	3510

prune190.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.2b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
2.8b	(+ a (+ (+ b c) d))
2.8b	(+ a (+ (+ b c) d))
2.8b	(+ a (+ (+ b c) d))

rewrite712.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity` `add-log-exp`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`cbrt-div`
18×	`sum-log` `distribute-lft-out`
14×	`associate-*l/`
8×	`associate-*r/`
4×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`+-commutative` `associate-+r+`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 87

Calls

4 calls:

511.0ms	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
65.0ms	(+ a (+ (+ b c) d))
68.0ms	(+ a (+ (+ b c) d))
61.0ms	(+ a (+ (+ b c) d))

series225.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
53.0ms	(+ a (+ (+ b c) d))
51.0ms	(+ a (+ (+ b c) d))
55.0ms	(+ a (+ (+ b c) d))

simplify3.3s

Counts

99 → 99

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	143	44166
1	427	37524
2	2262	36564
done	5002	34444

prune771.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 1.6b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (* (+ (+ a (+ b c)) d) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
2.8b	(+ (+ a (+ b c)) d)
2.8b	(+ a (+ (+ b c) d))
2.8b	(+ a (+ (+ b c) d))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity` `add-log-exp`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`cbrt-div`
18×	`sum-log` `distribute-lft-out`
14×	`associate-*l/`
8×	`associate-*r/`
4×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`+-commutative`
2×	`associate-+r+`
1×	`cbrt-prod` `associate-+l+` `pow1/3`

Counts

4 → 86

Calls

4 calls:

557.0ms	(cbrt (* (* (+ (+ a (+ b c)) d) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
102.0ms	(+ (+ a (+ b c)) d)
413.0ms	(+ a (+ (+ b c) d))
61.0ms	(+ a (+ (+ b c) d))

series281.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (* (* (+ (+ a (+ b c)) d) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
41.0ms	(+ (+ a (+ b c)) d)
56.0ms	(+ a (+ (+ b c) d))
33.0ms	(+ a (+ (+ b c) d))

simplify3.7s

Counts

98 → 98

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	175	50502
1	571	41360
2	3249	40680
done	5023	39560

prune578.0ms

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 1.2b

regimes2.7s

Accuracy

0% (1.5b remaining)

Error of 2.8b against oracle of 1.3b and baseline of 2.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	405
1	22	405
done	22	405

end0.0ms

sample945.0ms

Algorithm

intervals

Results

384.0ms	8000×	body	80	valid
269.0ms	8000×	pre	80	true