Details

sample81.0ms

Algorithm

intervals

Results

44.0ms	106×	body	1280	valid
16.0ms	77×	body	640	valid
5.0ms	45×	body	320	valid
5.0ms	254×	body	80	nan
1.0ms	19×	body	160	valid
0.0ms	9×	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: 58.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.6b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite19.0ms

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:

10.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
5.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series164.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
130.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify137.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (26.0ms)

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

prune182.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

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

prune7.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ 1.0 eps) (- 1.0 eps))
0.0b	(/ 1 (/ (+ 1.0 eps) (- 1.0 eps)))
5.6b	(log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

316×	`times-frac`
286×	`*-un-lft-identity`
204×	`add-sqr-sqrt`
138×	`add-cube-cbrt`
83×	`log-prod`
41×	`distribute-lft-out`
33×	`distribute-lft-out--` `difference-of-squares`
31×	`associate-/r*`
28×	`add-exp-log`
18×	`associate-/r/`
15×	`div-exp`
10×	`add-cbrt-cube` `div-inv`
8×	`flip3--` `flip--`
7×	`rem-log-exp` `associate-/l*`
6×	`pow1`
4×	`cbrt-undiv` `rec-exp` `1-exp`
3×	`log-pow` `add-log-exp`
2×	`pow-flip` `frac-2neg` `clear-num` `associate-/l/` `inv-pow`
1×	`log-div` `flip3-+` `log-rec` `flip-+`

Counts

3 → 275

Calls

3 calls:

11.0ms	(/ (+ 1.0 eps) (- 1.0 eps))
16.0ms	(/ 1 (/ (+ 1.0 eps) (- 1.0 eps)))
11.0ms	(log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps))))

series205.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (+ 1.0 eps) (- 1.0 eps))
33.0ms	(/ 1 (/ (+ 1.0 eps) (- 1.0 eps)))
130.0ms	(log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps))))

simplify119.0ms

Algorithm

egg-herbie

Counts

284 → 284

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	812	2762
1	3410	2525
2	5002	2250

prune252.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps)))))
5.6b	(log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps))))
5.6b	(log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps))))
5.6b	(log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

414×	`times-frac`
338×	`*-un-lft-identity`
249×	`log-prod`
248×	`add-sqr-sqrt`
176×	`add-cube-cbrt`
45×	`distribute-lft-out`
40×	`add-exp-log`
36×	`distribute-lft-out--` `difference-of-squares`
21×	`div-exp` `rem-log-exp` `associate-/r/`
12×	`pow1` `log-pow` `div-inv`
9×	`flip3--` `flip--`
6×	`cbrt-prod` `rec-exp` `1-exp`
4×	`pow-flip` `add-cbrt-cube` `inv-pow` `add-log-exp`
3×	`log-div` `log-rec`
1×	`pow1/3`

Counts

4 → 320

Calls

4 calls:

2.0ms	(cbrt (log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps)))))
17.0ms	(log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps))))
11.0ms	(log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps))))
11.0ms	(log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps))))

series683.0ms

Counts

4 → 12

Calls

4 calls:

297.0ms	(cbrt (log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps)))))
131.0ms	(log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps))))
129.0ms	(log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps))))
125.0ms	(log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps))))

simplify84.0ms

Algorithm

egg-herbie

Counts

332 → 332

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	783	3996
1	2983	3708
2	5002	3362

prune423.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.2b

regimes35.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

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	3369×	body	1280	valid
519.0ms	2464×	body	640	valid
170.0ms	8112×	body	80	nan
154.0ms	1283×	body	320	valid
47.0ms	654×	body	160	valid
7.0ms	230×	body	80	valid