Details

sample97.0ms

Algorithm

intervals

Results

51.0ms	111×	body	1280	valid
19.0ms	78×	body	640	valid
8.0ms	280×	body	80	nan
5.0ms	35×	body	320	valid
2.0ms	22×	body	160	valid
0.0ms	10×	body	80	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 58.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.5b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite19.0ms

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:

7.0ms	(/ (+ 1.0 x) (- 1.0 x))
7.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series158.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (+ 1.0 x) (- 1.0 x))
126.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify125.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (111.0ms)

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

prune178.0ms

Filtered

92 candidates to 62 candidates (67.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	87	5	92
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	6	93

Merged error: 0.2b

Counts

93 → 6

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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:

23.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(* 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

prune255.0ms

Filtered

115 candidates to 70 candidates (60.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	115	6	121

Merged error: 0.2b

Counts

121 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 x) (+ 1.0 x))
0.0b	(/ 1 (/ (- 1.0 x) (+ 1.0 x)))
6.5b	(log (/ 1 (/ (- 1.0 x) (+ 1.0 x))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

316×	`times-frac`
286×	`*-un-lft-identity`
204×	`add-sqr-sqrt`
138×	`add-cube-cbrt`
83×	`log-prod`
41×	`distribute-lft-out`
33×	`distribute-lft-out--` `difference-of-squares`
30×	`associate-/r*`
28×	`add-exp-log`
18×	`associate-/r/`
15×	`div-exp`
10×	`add-cbrt-cube` `div-inv`
8×	`flip3-+` `flip-+` `associate-/l*`
7×	`rem-log-exp`
6×	`pow1`
4×	`cbrt-undiv` `rec-exp` `1-exp`
3×	`expm1-log1p-u` `log-pow` `log1p-expm1-u` `add-log-exp`
2×	`pow-flip` `frac-2neg` `clear-num` `associate-/l/` `inv-pow`
1×	`log-div` `flip3--` `div-sub` `log-rec` `flip--`

Counts

3 → 282

Calls

3 calls:

8.0ms	(/ (- 1.0 x) (+ 1.0 x))
11.0ms	(/ 1 (/ (- 1.0 x) (+ 1.0 x)))
16.0ms	(log (/ 1 (/ (- 1.0 x) (+ 1.0 x))))

series196.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (- 1.0 x) (+ 1.0 x))
33.0ms	(/ 1 (/ (- 1.0 x) (+ 1.0 x)))
131.0ms	(log (/ 1 (/ (- 1.0 x) (+ 1.0 x))))

simplify97.0ms

Algorithm

egg-herbie

Counts

291 → 291

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	854	2792
1	3541	2542
2	5003	2263

prune293.0ms

Filtered

291 candidates to 122 candidates (41.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	289	2	291
Fresh	0	3	3
Picked	0	1	1
Done	1	1	2
Total	290	7	297

Merged error: 0.2b

Counts

297 → 7

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))
6.7b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
6.7b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

rewrite43.0ms

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:

8.0ms	(/ (+ 1.0 x) (- 1.0 x))
8.0ms	(/ (+ 1.0 x) (- 1.0 x))
8.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
8.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

series649.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (+ 1.0 x) (- 1.0 x))
36.0ms	(/ (+ 1.0 x) (- 1.0 x))
386.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
195.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

simplify52.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 2 (33.0ms)

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

prune436.0ms

Filtered

192 candidates to 130 candidates (67.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	190	2	192
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	192	7	199

Merged error: 0.2b

Counts

199 → 7

regimes51.0ms

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	16	10
1	16	10

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	3449×	body	1280	valid
608.0ms	2474×	body	640	valid
219.0ms	7959×	body	80	nan
179.0ms	1241×	body	320	valid
55.0ms	617×	body	160	valid
9.0ms	219×	body	80	valid