Details

sample111.0ms

Algorithm

intervals

Results

61.0ms	125×	body	1280	valid
23.0ms	82×	body	640	valid
10.0ms	278×	body	80	nan
5.0ms	29×	body	320	valid
1.0ms	14×	body	160	valid
0.0ms	6×	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: 58.9b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
4.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite21.0ms

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:

12.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
125.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify148.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (133.0ms)

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

prune187.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

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

prune10.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
4.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
4.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
4.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
78×	`log-prod`
60×	`times-frac`
59×	`add-sqr-sqrt`
35×	`add-cube-cbrt`
15×	`distribute-lft-out`
13×	`add-exp-log`
12×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`cbrt-prod` `expm1-log1p-u` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`pow1/3`

Counts

4 → 131

Calls

4 calls:

1.0ms	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series669.0ms

Counts

4 → 12

Calls

4 calls:

284.0ms	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
130.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
123.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
131.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify135.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	388	1259
1	1109	1186
2	4735	1134
3	5001	1128

prune307.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (cbrt (pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3)))
4.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
4.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
4.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

92×	`*-un-lft-identity`
78×	`log-prod`
62×	`add-sqr-sqrt`
60×	`times-frac`
38×	`add-cube-cbrt`
31×	`cbrt-prod`
15×	`distribute-lft-out`
13×	`add-exp-log`
12×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1`
6×	`rem-log-exp` `associate-/r/`
5×	`log-pow`
4×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`cube-mult` `pow1/3` `unpow3` `sqr-pow`

Counts

4 → 144

Calls

4 calls:

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

series657.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(cbrt (cbrt (pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3)))
119.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
125.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
126.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify48.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	442	1400
1	1452	1357
2	5001	1313

prune397.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes52.0ms

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	13	8
1	13	8

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.7s	3369×	body	1280	valid
719.0ms	2519×	body	640	valid
305.0ms	7904×	body	80	nan
218.0ms	1260×	body	320	valid
71.0ms	638×	body	160	valid
10.0ms	214×	body	80	valid