Details

sample84.0ms

Algorithm

intervals

Results

43.0ms	105×	body	1280	valid
17.0ms	81×	body	640	valid
5.0ms	42×	body	320	valid
5.0ms	250×	body	80	nan
2.0ms	25×	body	160	valid
0.0ms	3×	body	80	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	20	4
2	23	4
3	23	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.2b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.6b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite36.0ms

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:

23.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
9.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series144.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
115.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify145.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	339	657
1	1040	625
2	4497	607
3	5001	607

prune180.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ 1.0 eps))
6.6b	(log (/ 1 (+ 1.0 eps)))
6.6b	(log (- 1.0 eps))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
24×	`times-frac`
23×	`add-sqr-sqrt` `log-prod`
21×	`add-cube-cbrt`
13×	`add-exp-log`
7×	`pow1` `distribute-lft-out`
5×	`rem-log-exp` `add-cbrt-cube`
4×	`div-exp` `associate-/r*` `associate-/r/` `log-pow`
3×	`log-div` `associate-/l*` `add-log-exp`
2×	`rec-exp` `pow-flip` `flip3-+` `1-exp` `flip-+` `div-inv` `inv-pow`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `log-rec` `clear-num` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 87

Calls

3 calls:

14.0ms	(/ 1 (+ 1.0 eps))
6.0ms	(log (/ 1 (+ 1.0 eps)))
5.0ms	(log (- 1.0 eps))

series122.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ 1 (+ 1.0 eps))
65.0ms	(log (/ 1 (+ 1.0 eps)))
37.0ms	(log (- 1.0 eps))

simplify122.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	341	516
1	1105	460
2	4461	410
3	5001	410

prune137.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

6.6b	(log (/ 1 (+ 1.0 eps)))
6.6b	(log (/ 1 (+ 1.0 eps)))
6.6b	(log (/ 1 (+ 1.0 eps)))
6.6b	(log (- 1.0 eps))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

59×	`log-prod`
49×	`*-un-lft-identity`
36×	`times-frac`
31×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
20×	`add-exp-log`
13×	`rem-log-exp`
11×	`pow1`
10×	`log-pow`
9×	`distribute-lft-out`
6×	`div-exp` `associate-/r/`
5×	`log-div`
4×	`add-cbrt-cube` `add-log-exp`
3×	`rec-exp` `pow-flip` `flip3-+` `1-exp` `log-rec` `flip-+` `div-inv` `inv-pow`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 118

Calls

4 calls:

6.0ms	(log (/ 1 (+ 1.0 eps)))
6.0ms	(log (/ 1 (+ 1.0 eps)))
9.0ms	(log (/ 1 (+ 1.0 eps)))
5.0ms	(log (- 1.0 eps))

series236.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(log (/ 1 (+ 1.0 eps)))
65.0ms	(log (/ 1 (+ 1.0 eps)))
65.0ms	(log (/ 1 (+ 1.0 eps)))
38.0ms	(log (- 1.0 eps))

simplify82.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	276	800
1	757	740
2	2880	675
3	5003	636

prune267.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes19.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.3s	3335×	body	1280	valid
548.0ms	2598×	body	640	valid
156.0ms	8045×	body	80	nan
151.0ms	1250×	body	320	valid
48.0ms	628×	body	160	valid
6.0ms	189×	body	80	valid