Details

sample87.0ms

Algorithm

intervals

Results

46.0ms	106×	body	1280	valid
17.0ms	77×	body	640	valid
6.0ms	45×	body	320	valid
5.0ms	254×	body	80	nan
1.0ms	19×	body	160	valid
0.0ms	9×	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: 58.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.6b	(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)))

series164.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
132.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify139.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (130.0ms)

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

prune195.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

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

prune7.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ 1.0 eps))
0.0b	(* (- 1.0 eps) (/ 1 (+ 1.0 eps)))
5.6b	(log (* (- 1.0 eps) (/ 1 (+ 1.0 eps))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
26×	`add-exp-log` `times-frac`
21×	`add-cube-cbrt`
18×	`associate-r`
10×	`add-cbrt-cube`
9×	`pow1`
8×	`prod-exp`
7×	`distribute-lft-out`
6×	`log-div` `div-exp`
5×	`rem-log-exp` `associate-l`
4×	`frac-times` `flip3--` `associate-l/` `associate-/r` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3-+` `associate-*r/` `pow-prod-down` `log-pow` `un-div-inv` `cbrt-unprod` `flip-+` `div-inv`
1×	`log-prod` `pow-flip` `frac-2neg` `clear-num` `*-commutative` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

3 → 111

Calls

3 calls:

6.0ms	(/ 1 (+ 1.0 eps))
24.0ms	(* (- 1.0 eps) (/ 1 (+ 1.0 eps)))
13.0ms	(log (* (- 1.0 eps) (/ 1 (+ 1.0 eps))))

series185.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ 1 (+ 1.0 eps))
33.0ms	(* (- 1.0 eps) (/ 1 (+ 1.0 eps)))
129.0ms	(log (* (- 1.0 eps) (/ 1 (+ 1.0 eps))))

simplify51.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	401	646
1	1802	570
2	5003	516

prune168.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (log (* (- 1.0 eps) (/ 1 (+ 1.0 eps)))))
5.6b	(log (* (- 1.0 eps) (/ 1 (+ 1.0 eps))))
5.6b	(log (* (- 1.0 eps) (/ 1 (+ 1.0 eps))))
5.6b	(log (* (- 1.0 eps) (/ 1 (+ 1.0 eps))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
18×	`log-div`
16×	`pow1`
15×	`rem-log-exp`
12×	`prod-exp`
8×	`log-pow`
6×	`frac-times` `flip3--` `div-exp` `associate-*l/` `flip--`
5×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `pow-prod-down` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `log-prod` `1-exp` `associate-*r/` `un-div-inv`
1×	`pow1/3`

Counts

4 → 84

Calls

4 calls:

7.0ms	(cbrt (log (* (- 1.0 eps) (/ 1 (+ 1.0 eps)))))
9.0ms	(log (* (- 1.0 eps) (/ 1 (+ 1.0 eps))))
9.0ms	(log (* (- 1.0 eps) (/ 1 (+ 1.0 eps))))
9.0ms	(log (* (- 1.0 eps) (/ 1 (+ 1.0 eps))))

series678.0ms

Counts

4 → 12

Calls

4 calls:

296.0ms	(cbrt (log (* (- 1.0 eps) (/ 1 (+ 1.0 eps)))))
124.0ms	(log (* (- 1.0 eps) (/ 1 (+ 1.0 eps))))
130.0ms	(log (* (- 1.0 eps) (/ 1 (+ 1.0 eps))))
128.0ms	(log (* (- 1.0 eps) (/ 1 (+ 1.0 eps))))

simplify126.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	289	691
1	1015	634
2	4891	593
3	5001	593

prune230.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.2b

regimes26.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

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

1.4s	3369×	body	1280	valid
551.0ms	2464×	body	640	valid
174.0ms	8112×	body	80	nan
166.0ms	1283×	body	320	valid
50.0ms	654×	body	160	valid
8.0ms	230×	body	80	valid