Details

sample87.0ms

Algorithm

intervals

Results

45.0ms	107×	body	1280	valid
19.0ms	87×	body	640	valid
5.0ms	272×	body	80	nan
4.0ms	33×	body	320	valid
2.0ms	25×	body	160	valid
0.0ms	4×	body	80	valid

simplify10.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize9.0ms

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)))

rewrite24.0ms

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:

13.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
8.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series159.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
122.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify135.0ms

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

prune166.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

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

prune2.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

6.6b	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
6.6b	(log (- 1.0 eps))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

31×	`log-prod`
23×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`times-frac`
13×	`add-cube-cbrt`
10×	`difference-of-squares`
6×	`add-exp-log`
5×	`distribute-lft-out--`
4×	`pow1`
3×	`log-div` `rem-log-exp`
2×	`flip3--` `associate-/r/` `log-pow` `add-cbrt-cube` `flip--` `add-log-exp`
1×	`div-exp` `div-inv`

Counts

2 → 53

Calls

2 calls:

6.0ms	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
2.0ms	(log (- 1.0 eps))

series129.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
43.0ms	(log (- 1.0 eps))

simplify36.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	389	573
1	1218	521
2	5001	494

prune131.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (- 1.0 eps)) 3)
0.1b	(cbrt (pow (log (- 1.0 eps)) 3))
6.6b	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
6.6b	(log (- 1.0 eps))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `log-prod` `*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac`
14×	`cbrt-prod`
11×	`pow1`
10×	`difference-of-squares`
9×	`add-exp-log`
8×	`unpow-prod-down` `cube-prod`
6×	`log-pow`
5×	`add-cbrt-cube` `distribute-lft-out--`
4×	`add-log-exp`
3×	`log-div` `pow-unpow` `rem-log-exp`
2×	`cube-mult` `flip3--` `unpow3` `associate-/r/` `flip--` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `div-exp` `pow-exp` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 101

Calls

4 calls:

2.0ms	(pow (log (- 1.0 eps)) 3)
2.0ms	(cbrt (pow (log (- 1.0 eps)) 3))
6.0ms	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
3.0ms	(log (- 1.0 eps))

series283.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(pow (log (- 1.0 eps)) 3)
49.0ms	(cbrt (pow (log (- 1.0 eps)) 3))
87.0ms	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
48.0ms	(log (- 1.0 eps))

simplify65.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	668	923
1	2603	861
2	5001	852

prune261.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.1b

regimes12.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.3s	3359×	body	1280	valid
536.0ms	2527×	body	640	valid
159.0ms	8067×	body	80	nan
149.0ms	1244×	body	320	valid
47.0ms	662×	body	160	valid
7.0ms	208×	body	80	valid