Details

sample85.0ms

Algorithm

intervals

Results

44.0ms	109×	body	1280	valid
20.0ms	89×	body	640	valid
5.0ms	234×	body	80	nan
4.0ms	35×	body	320	valid
1.0ms	13×	body	160	valid
0.0ms	10×	body	80	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 58.6b

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×	`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))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series169.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
136.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify135.0ms

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

prune190.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

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

prune14.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ 1.0 eps))
0.0b	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
3.8b	(log (/ 1 (+ 1.0 eps)))
3.8b	(log (- 1.0 eps))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
46×	`log-prod`
36×	`times-frac`
35×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
18×	`associate-+r+`
14×	`add-exp-log` `distribute-lft-out`
12×	`pow1`
8×	`log-pow`
6×	`log-div` `associate-/r/` `add-cbrt-cube`
5×	`associate-+l+` `rem-log-exp`
4×	`flip3-+` `div-exp` `associate-/r*` `flip-+` `add-log-exp`
3×	`log-rec` `div-inv` `associate-/l*`
2×	`associate-+l-` `rec-exp` `flip3--` `pow-flip` `1-exp` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `unsub-neg` `clear-num` `sum-log`

Counts

4 → 130

Calls

4 calls:

6.0ms	(/ 1 (+ 1.0 eps))
11.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
7.0ms	(log (/ 1 (+ 1.0 eps)))
3.0ms	(log (- 1.0 eps))

series349.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (+ 1.0 eps))
200.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
79.0ms	(log (/ 1 (+ 1.0 eps)))
46.0ms	(log (- 1.0 eps))

simplify46.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	467	861
1	1536	768
2	5001	679

prune214.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps)))) (log (+ 1.0 eps)))
1.8b	(log (- (pow 1.0 3) (pow eps 3)))
3.8b	(log (+ 1.0 eps))
3.8b	(log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

39×	`log-prod`
33×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
16×	`difference-of-squares`
12×	`unpow-prod-down` `cube-prod`
11×	`pow1`
10×	`log-div`
9×	`add-cube-cbrt`
8×	`sqr-pow`
7×	`add-exp-log` `log-pow`
6×	`distribute-lft-out`
5×	`flip3-+` `flip-+` `distribute-lft-out--`
4×	`associate-+r+` `add-cbrt-cube` `add-log-exp`
3×	`associate-+l+` `rem-log-exp`
2×	`associate-+l-` `associate-+r-`
1×	`difference-cubes` `+-commutative` `flip3--` `sum-log` `flip--`

Counts

4 → 91

Calls

4 calls:

13.0ms	(+ (log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps)))) (log (+ 1.0 eps)))
17.0ms	(log (- (pow 1.0 3) (pow eps 3)))
2.0ms	(log (+ 1.0 eps))
7.0ms	(log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps))))

series551.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(+ (log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps)))) (log (+ 1.0 eps)))
270.0ms	(log (- (pow 1.0 3) (pow eps 3)))
42.0ms	(log (+ 1.0 eps))
66.0ms	(log (+ (* 1.0 1.0) (+ (* eps eps) (* 1.0 eps))))

simplify61.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	529	974
1	1727	917
2	5001	888

prune308.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

regimes42.0ms

Accuracy

0% (0.5b 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	29	16
1	29	16

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	3452×	body	1280	valid
555.0ms	2507×	body	640	valid
172.0ms	8035×	body	80	nan
151.0ms	1192×	body	320	valid
50.0ms	637×	body	160	valid
7.0ms	212×	body	80	valid