Details

sample92.0ms

Algorithm

intervals

Results

46.0ms	103×	body	1280	valid
19.0ms	80×	body	640	valid
7.0ms	247×	body	80	nan
6.0ms	44×	body	320	valid
2.0ms	20×	body	160	valid
0.0ms	9×	body	80	valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	6
1	25	6
2	40	6
3	65	6
4	98	6
5	122	6
6	135	6
7	137	6
8	137	6

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.3b	(log (/ (+ 1.0 x) (- 1.0 x)))

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-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
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` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

11.0ms	(/ (+ 1.0 x) (- 1.0 x))
6.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series165.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (+ 1.0 x) (- 1.0 x))
127.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify123.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (114.0ms)

Iter	Nodes	Cost
0	334	673
1	1078	636
2	4549	616
3	5001	613

prune208.0ms

Filtered

92 candidates to 62 candidates (67.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
69×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
35×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log` `unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `expm1-log1p-u` `associate-r/` `pow-prod-down` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 112

Calls

1 calls:

28.0ms

(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify54.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	532	653
1	2211	536
2	5002	535

prune298.0ms

Filtered

115 candidates to 70 candidates (60.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.4b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
5.4b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

128×	`*-un-lft-identity`
84×	`add-sqr-sqrt`
80×	`times-frac`
58×	`log-prod`
52×	`sqrt-prod`
48×	`add-cube-cbrt`
22×	`distribute-lft-out`
18×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `associate-/r*`
8×	`pow1` `associate-/r/` `add-cbrt-cube` `associate-/l*`
6×	`log-pow`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `log-div` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `sqrt-div` `div-exp` `rem-log-exp` `clear-num` `flip-+`

Counts

4 → 180

Calls

4 calls:

11.0ms	(/ (+ 1.0 x) (- 1.0 x))
15.0ms	(/ (+ 1.0 x) (- 1.0 x))
7.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
7.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

series456.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ (+ 1.0 x) (- 1.0 x))
38.0ms	(/ (+ 1.0 x) (- 1.0 x))
193.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
192.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

simplify51.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	382	1648
1	1193	1562
2	5002	1480

prune474.0ms

Filtered

192 candidates to 130 candidates (67.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.3b	(log (/ (+ 1.0 x) (- 1.0 x)))
5.4b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

127×	`*-un-lft-identity`
83×	`add-sqr-sqrt`
80×	`times-frac`
55×	`log-prod`
47×	`add-cube-cbrt`
26×	`sqrt-prod`
22×	`distribute-lft-out`
18×	`distribute-lft-out--` `difference-of-squares`
12×	`add-exp-log`
10×	`associate-/r*`
8×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
7×	`pow1`
4×	`expm1-log1p-u` `flip3--` `log-pow` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
3×	`div-exp` `rem-log-exp`
2×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `flip-+`
1×	`sqrt-pow1` `pow1/2` `sqrt-div`

Counts

4 → 176

Calls

4 calls:

11.0ms	(/ (+ 1.0 x) (- 1.0 x))
11.0ms	(/ (+ 1.0 x) (- 1.0 x))
6.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
7.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

series397.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (+ 1.0 x) (- 1.0 x))
32.0ms	(/ (+ 1.0 x) (- 1.0 x))
126.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
201.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

simplify54.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	492	1497
1	1552	1417
2	5002	1368

prune630.0ms

Filtered

188 candidates to 127 candidates (67.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

regimes38.0ms

Accuracy

0% (0.6b 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	16	10
1	16	10

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	3390×	body	1280	valid
616.0ms	2537×	body	640	valid
209.0ms	7907×	body	80	nan
170.0ms	1168×	body	320	valid
62.0ms	684×	body	160	valid
11.0ms	221×	body	80	valid