Details

sample88.0ms

Algorithm

intervals

Results

46.0ms	109×	body	1280	valid
19.0ms	89×	body	640	valid
7.0ms	234×	body	80	nan
4.0ms	35×	body	320	valid
1.0ms	13×	body	160	valid
0.0ms	10×	body	80	valid

simplify8.0ms

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)))

rewrite20.0ms

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×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 87

Calls

2 calls:

12.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
5.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
129.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 3 (461.0ms)

Iter	Nodes	Cost
0	147	1318
1	351	1247
2	929	1184
3	3980	1154
done	5001	1154

prune208.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

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

prune17.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize14.0ms

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

200×	`*-un-lft-identity`
92×	`add-sqr-sqrt`
90×	`times-frac`
55×	`distribute-lft-out`
54×	`log-prod`
50×	`add-cube-cbrt`
44×	`unpow-prod-down` `cube-prod`
20×	`distribute-lft-out--` `difference-of-squares`
18×	`prod-diff`
12×	`add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in` `sum-cubes`
9×	`associate-/r*`
8×	`pow1` `add-cbrt-cube`
5×	`associate-r` `associate-/l*`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`rem-log-exp` `associate-l`
2×	`sub-neg` `flip3--` `flip3-+` `associate-*r/` `div-exp` `log-pow` `flip--` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `log-div` `frac-2neg` `div-sub` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 202

Calls

4 calls:

35.0ms	(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
11.0ms	(* eps (- eps 1.0))
1.0ms	(log (fma 1.0 1.0 (* eps (- eps 1.0))))
17.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

series249.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
47.0ms	(* eps (- eps 1.0))
73.0ms	(log (fma 1.0 1.0 (* eps (- eps 1.0))))
72.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

simplify1.0s

Counts

214 → 214

Iterations

Useful iterations: 2 (444.0ms)

Iter	Nodes	Cost
0	303	3962
1	667	3444
2	2238	3193
done	5000	3193

prune392.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 4 expressions with local error:

3.8b	(log (fma 1.0 1.0 (* eps (- eps 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))))

rewrite64.0ms

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/`
4×	`expm1-log1p-u` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3-+` `div-exp` `flip-+` `div-inv`

Counts

4 → 206

Calls

4 calls:

1.0ms	(log (fma 1.0 1.0 (* eps (- eps 1.0))))
16.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
18.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
16.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

series283.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(log (fma 1.0 1.0 (* eps (- eps 1.0))))
72.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
72.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
72.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

simplify2.2s

Counts

218 → 218

Iterations

Useful iterations: 3 (836.0ms)

Iter	Nodes	Cost
0	182	4719
1	407	4240
2	1077	4044
3	4433	3864
done	5001	3864

prune598.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

regimes37.0ms

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	10	17
1	12	17
done	12	17

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	3452×	body	1280	valid
564.0ms	2507×	body	640	valid
178.0ms	8035×	body	80	nan
154.0ms	1192×	body	320	valid
52.0ms	637×	body	160	valid
8.0ms	212×	body	80	valid