Details

sample84.0ms

Algorithm

intervals

Results

44.0ms	109×	body	1280	valid
19.0ms	89×	body	640	valid
5.0ms	234×	body	80	nan
4.0ms	35×	body	320	valid
1.0ms	13×	body	160	valid
0.0ms	10×	body	80	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	8
1	15	8
2	20	8
3	23	8
done	23	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
3.8b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 83

Calls

2 calls:

12.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series159.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
126.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify891.0ms

Counts

89 → 89

Iterations

Useful iterations: 3 (371.0ms)

Iter	Nodes	Cost
0	143	1284
1	336	1221
2	817	1154
3	2212	1123
done	5000	1123

prune177.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune13.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
0.0b	(* eps (- eps 1.0))
3.8b	(log (+ (* eps (- eps 1.0)) (* 1.0 1.0)))
3.8b	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

188×	`*-un-lft-identity`
90×	`times-frac`
80×	`add-sqr-sqrt`
55×	`distribute-lft-out`
54×	`log-prod`
44×	`unpow-prod-down` `cube-prod`
38×	`add-cube-cbrt`
20×	`distribute-lft-out--` `difference-of-squares`
12×	`add-exp-log`
11×	`sum-cubes`
9×	`associate-/r*`
8×	`pow1` `add-cbrt-cube`
5×	`associate-r` `associate-/l*`
4×	`associate-/r/` `add-log-exp`
3×	`log-div` `flip3-+` `rem-log-exp` `associate-l` `flip-+`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-*r/` `div-exp` `log-pow` `flip--` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 178

Calls

4 calls:

34.0ms	(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
11.0ms	(* eps (- eps 1.0))
7.0ms	(log (+ (* eps (- eps 1.0)) (* 1.0 1.0)))
19.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

series236.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
46.0ms	(* eps (- eps 1.0))
71.0ms	(log (+ (* eps (- eps 1.0)) (* 1.0 1.0)))
71.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

simplify672.0ms

Counts

190 → 190

Iterations

Useful iterations: done (666.0ms)

Iter	Nodes	Cost
0	261	3479
1	617	3146
2	1679	3008
done	5001	2940

prune356.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

3.8b	(log (+ (* eps (- eps 1.0)) (* 1.0 1.0)))
3.8b	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
3.8b	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
3.8b	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

254×	`*-un-lft-identity`
156×	`log-prod`
135×	`times-frac`
104×	`add-sqr-sqrt`
75×	`distribute-lft-out`
60×	`unpow-prod-down` `cube-prod`
50×	`add-cube-cbrt`
27×	`distribute-lft-out--` `difference-of-squares`
15×	`sum-cubes`
14×	`add-exp-log`
8×	`pow1`
7×	`rem-log-exp`
6×	`associate-/r/`
5×	`log-div`
4×	`flip3-+` `log-pow` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`div-exp` `div-inv`

Counts

4 → 200

Calls

4 calls:

6.0ms	(log (+ (* eps (- eps 1.0)) (* 1.0 1.0)))
18.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
18.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
23.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

series288.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(log (+ (* eps (- eps 1.0)) (* 1.0 1.0)))
74.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
74.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
68.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

simplify1.6s

Counts

212 → 212

Iterations

Useful iterations: 3 (668.0ms)

Iter	Nodes	Cost
0	192	4712
1	442	4253
2	1120	4085
3	3765	3895
done	5000	3895

prune549.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

regimes33.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	15	18
done	15	18

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	3452×	body	1280	valid
553.0ms	2507×	body	640	valid
170.0ms	8035×	body	80	nan
149.0ms	1192×	body	320	valid
48.0ms	637×	body	160	valid
7.0ms	212×	body	80	valid