Details

sample99.0ms

Algorithm

intervals

Results

51.0ms	111×	body	1280	valid
22.0ms	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

simplify13.0ms

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	61	6
4	88	6
5	104	6
6	113	6
7	113	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

localize7.0ms

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)))

rewrite18.0ms

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×	`flip3--` `div-exp` `rem-log-exp` `flip--` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

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

series153.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (+ 1.0 x) (- 1.0 x))
122.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify118.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	318	660
1	1025	624
2	4261	602
3	5001	602

prune186.0ms

Filtered

88 candidates to 58 candidates (65.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	83	5	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	6	89

Merged error: 0.2b

Counts

89 → 6

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 110

Calls

1 calls:

19.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify53.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	528	643
1	2205	526
2	5001	525

prune234.0ms

Filtered

113 candidates to 68 candidates (60.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	113	6	119

Merged error: 0.2b

Counts

119 → 6

localize12.0ms

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))))

rewrite48.0ms

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×	`log-pow` `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 → 276

Calls

3 calls:

8.0ms	(/ (- 1.0 x) (+ 1.0 x))
11.0ms	(/ 1 (/ (- 1.0 x) (+ 1.0 x)))
12.0ms	(log (/ 1 (/ (- 1.0 x) (+ 1.0 x))))

series191.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (- 1.0 x) (+ 1.0 x))
31.0ms	(/ 1 (/ (- 1.0 x) (+ 1.0 x)))
124.0ms	(log (/ 1 (/ (- 1.0 x) (+ 1.0 x))))

simplify87.0ms

Algorithm

egg-herbie

Counts

285 → 285

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	834	2769
1	3471	2524
2	5002	2247

prune270.0ms

Filtered

285 candidates to 115 candidates (40.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	283	2	285
Fresh	0	3	3
Picked	0	1	1
Done	1	1	2
Total	284	7	291

Merged error: 0.2b

Counts

291 → 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))))

rewrite40.0ms

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×	`flip3--` `flip--` `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 → 172

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))))

series438.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (+ 1.0 x) (- 1.0 x))
31.0ms	(/ (+ 1.0 x) (- 1.0 x))
183.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
186.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

simplify50.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	365	1614
1	1138	1530
2	5001	1442

prune607.0ms

Filtered

184 candidates to 122 candidates (66.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	182	2	184
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	184	7	191

Merged error: 0.2b

Counts

191 → 7

regimes50.0ms

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	20	12
1	20	12

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	3449×	body	1280	valid
606.0ms	2474×	body	640	valid
221.0ms	7959×	body	80	nan
178.0ms	1241×	body	320	valid
54.0ms	617×	body	160	valid
9.0ms	219×	body	80	valid