Details

sample84.0ms

Algorithm

intervals

Results

44.0ms	111×	body	1280	valid
17.0ms	80×	body	640	valid
5.0ms	246×	body	80	nan
5.0ms	39×	body	320	valid
2.0ms	21×	body	160	valid
0.0ms	5×	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: 58.8b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.9b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite39.0ms

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:

22.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
10.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series140.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
112.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify131.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (25.0ms)

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

prune185.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

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: 0.2b

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)))
5.9b	(log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps))))

rewrite89.0ms

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:

25.0ms	(/ (+ 1.0 eps) (- 1.0 eps))
28.0ms	(/ 1 (/ (+ 1.0 eps) (- 1.0 eps)))
17.0ms	(log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps))))

series179.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (+ 1.0 eps) (- 1.0 eps))
28.0ms	(/ 1 (/ (+ 1.0 eps) (- 1.0 eps)))
117.0ms	(log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps))))

simplify81.0ms

Algorithm

egg-herbie

Counts

284 → 284

Iterations

Useful iterations: 2 (56.0ms)

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

prune245.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1.0 eps) (- 1.0 eps))
0.0b	(/ 1 (/ (+ 1.0 eps) (- 1.0 eps)))
0.1b	(cbrt (pow (log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps)))) 3))
5.9b	(log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps))))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

316×	`times-frac`
290×	`*-un-lft-identity`
208×	`add-sqr-sqrt`
142×	`add-cube-cbrt`
83×	`log-prod`
41×	`distribute-lft-out`
33×	`distribute-lft-out--` `difference-of-squares`
31×	`associate-/r*`
29×	`add-exp-log`
18×	`cbrt-prod` `associate-/r/`
15×	`div-exp`
11×	`pow1` `add-cbrt-cube`
10×	`div-inv`
9×	`log-pow`
8×	`flip3--` `flip--`
7×	`rem-log-exp` `associate-/l*`
6×	`unpow-prod-down` `cube-prod`
4×	`cbrt-undiv` `rec-exp` `pow-flip` `1-exp` `inv-pow` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`cube-mult` `log-div` `flip3-+` `pow1/3` `unpow3` `log-rec` `rem-cbrt-cube` `flip-+` `sqr-pow`

Counts

4 → 302

Calls

4 calls:

27.0ms	(/ (+ 1.0 eps) (- 1.0 eps))
25.0ms	(/ 1 (/ (+ 1.0 eps) (- 1.0 eps)))
6.0ms	(cbrt (pow (log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps)))) 3))
21.0ms	(log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps))))

series283.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (+ 1.0 eps) (- 1.0 eps))
27.0ms	(/ 1 (/ (+ 1.0 eps) (- 1.0 eps)))
116.0ms	(cbrt (pow (log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps)))) 3))
113.0ms	(log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps))))

simplify99.0ms

Algorithm

egg-herbie

Counts

314 → 314

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	882	2789
1	3937	2530
2	5003	2496

prune366.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes17.0ms

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

sample2.6s

Algorithm

intervals

Results

1.4s	3383×	body	1280	valid
530.0ms	2492×	body	640	valid
161.0ms	7939×	body	80	nan
157.0ms	1263×	body	320	valid
48.0ms	652×	body	160	valid
7.0ms	210×	body	80	valid