Details

sample62.0ms

Algorithm

intervals

Results

36.0ms	80×	body	1280	valid
12.0ms	59×	body	640	valid
3.0ms	27×	body	320	valid
2.0ms	75×	body	80	valid
1.0ms	74×	body	80	nan
1.0ms	15×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.2b

localize3.0ms

Local error

Found 1 expressions with local error:

3.7b	(log (+ 1.0 x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

2.0ms

(log (+ 1.0 x))

series42.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(log (+ 1.0 x))

simplify41.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	122	95
1	327	86
2	1161	81
3	5002	78

prune38.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
2×	`diff-log` `associate-*r/` `frac-sub`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `flip3-+` `associate--l+` `sum-log` `add-cbrt-cube` `flip--` `flip-+`

Counts

1 → 16

Calls

1 calls:

24.0ms

(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify124.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	181	252
1	733	234
2	4310	223
3	5001	223

prune56.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
2.0b	(exp (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `log-div` `exp-prod` `-un-lft-identity` `exp-diff` `associate-r/` `frac-sub`
3×	`pow1` `log-prod` `exp-sum`
2×	`add-exp-log` `flip3--` `flip3-+` `diff-log` `add-cbrt-cube` `flip--` `flip-+`
1×	`sub-neg` `associate--l+` `sum-log` `log-pow` `rem-exp-log`

Counts

2 → 35

Calls

2 calls:

24.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
13.0ms	(exp (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series83.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
40.0ms	(exp (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify126.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 3 (120.0ms)

Iter	Nodes	Cost
0	234	557
1	822	521
2	4596	480
3	5002	474

prune104.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
2.0b	(pow E (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `log-div` `pow-unpow` `associate-*r/` `frac-sub` `pow-sub`
3×	`unpow-prod-up` `add-exp-log` `unpow-prod-down` `log-prod`
2×	`flip3--` `flip3-+` `diff-log` `pow-exp` `add-cbrt-cube` `flip--` `flip-+`
1×	`pow-to-exp` `sub-neg` `e-exp-1` `pow-pow` `associate--l+` `sum-log` `log-pow` `sqr-pow`

Counts

2 → 42

Calls

2 calls:

22.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
13.0ms	(pow E (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series252.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
211.0ms	(pow E (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify45.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	421	809
1	1573	776
2	5002	725

prune136.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes87.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.4b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

993.0ms	2273×	body	1280	valid
334.0ms	1601×	body	640	valid
94.0ms	902×	body	320	valid
62.0ms	2790×	body	80	valid
38.0ms	2690×	body	80	nan
27.0ms	434×	body	160	valid