Details

sample86.0ms

Algorithm

intervals

Results

44.0ms	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)))

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×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 87

Calls

2 calls:

25.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
9.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series158.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
120.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify141.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (132.0ms)

Iter	Nodes	Cost
0	354	672
1	1096	638
2	4786	623
3	5001	622

prune178.0ms

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

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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×	`expm1-log1p-u` `log-div` `log1p-expm1-u` `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 → 93

Calls

3 calls:

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

series139.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ 1 (+ 1.0 eps))
64.0ms	(log (/ 1 (+ 1.0 eps)))
47.0ms	(log (- 1.0 eps))

simplify133.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	361	534
1	1177	474
2	4809	428
3	5001	425

prune141.0ms

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))

rewrite31.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 126

Calls

4 calls:

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

series253.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(log (/ 1 (+ 1.0 eps)))
71.0ms	(log (/ 1 (+ 1.0 eps)))
71.0ms	(log (/ 1 (+ 1.0 eps)))
47.0ms	(log (- 1.0 eps))

simplify89.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	292	824
1	815	759
2	3127	699
3	5002	654

prune280.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes14.0ms

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	13	8
1	13	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.3s	3335×	body	1280	valid
556.0ms	2598×	body	640	valid
172.0ms	8045×	body	80	nan
154.0ms	1250×	body	320	valid
46.0ms	628×	body	160	valid
7.0ms	189×	body	80	valid