Details

sample94.0ms

Algorithm

intervals

Results

46.0ms	100×	body	1280	valid
21.0ms	83×	body	640	valid
7.0ms	244×	body	80	nan
6.0ms	43×	body	320	valid
2.0ms	25×	body	160	valid
0.0ms	5×	body	80	valid

simplify15.0ms

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

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 59.2b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
7.4b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
25×	`add-cube-cbrt`
14×	`log-div`
13×	`distribute-lft-out`
10×	`associate-/r` `associate-/l` `distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l/`
3×	`pow1` `log-rec` `clear-num`
2×	`flip3--` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `flip--` `flip-+` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `log-pow`

Counts

2 → 98

Calls

2 calls:

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

series171.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (+ 1.0 x) (- 1.0 x))
131.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify122.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	339	769
1	1071	723
2	4358	705
3	5001	705

prune187.0ms

Filtered

104 candidates to 68 candidates (34.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	98	6	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	6	105

Merged error: 0.1b

Counts

105 → 6

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
73×	`add-sqr-sqrt`
68×	`associate-r`
62×	`unpow-prod-down`
40×	`*-un-lft-identity`
39×	`add-cube-cbrt`
26×	`unpow2` `sqr-pow`
24×	`add-exp-log`
19×	`associate-*r/`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp` `associate-/l*`
8×	`associate-/r*`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`clear-num` `un-div-inv` `cbrt-unprod`
1×	`cbrt-undiv` `frac-2neg` `pow-prod-down` `*-commutative` `div-inv` `add-log-exp`

Counts

1 → 130

Calls

1 calls:

25.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify59.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	575	768
1	2934	575
2	5002	574

prune279.0ms

Filtered

133 candidates to 82 candidates (38.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	133	6	139

Merged error: 0.1b

Counts

139 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
7.2b	(log (sqrt (+ 1.0 x)))
7.4b	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

105×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
70×	`times-frac`
52×	`sqrt-prod`
48×	`log-prod`
46×	`add-cube-cbrt`
19×	`log-div`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-/l*`
13×	`distribute-lft-out`
10×	`associate-/r*`
9×	`add-exp-log`
6×	`pow1` `sqrt-div`
5×	`add-cbrt-cube`
4×	`associate-/r/` `log-pow` `associate-/l/`
3×	`flip3-+` `rem-log-exp` `clear-num` `flip-+` `add-log-exp`
2×	`flip3--` `frac-2neg` `div-exp` `log-rec` `flip--` `div-inv`
1×	`cbrt-undiv` `sqrt-pow1` `pow1/2`

Counts

3 → 153

Calls

3 calls:

8.0ms	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
4.0ms	(log (sqrt (+ 1.0 x)))
14.0ms	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

series420.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
87.0ms	(log (sqrt (+ 1.0 x)))
229.0ms	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

simplify55.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	549	1544
1	1778	1458
2	5002	1396

prune270.0ms

Filtered

162 candidates to 96 candidates (40.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	160	2	162
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	162	6	168

Merged error: 0.1b

Counts

168 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 x))
7.2b	(log (sqrt (+ 1.0 x)))
7.2b	(log (sqrt (+ 1.0 x)))
7.5b	(log (/ 1 (- 1.0 x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
35×	`log-prod`
30×	`times-frac`
29×	`add-cube-cbrt`
15×	`add-exp-log` `log-div`
11×	`pow1`
10×	`associate-/r*`
9×	`log-pow`
8×	`sqrt-prod` `distribute-lft-out--` `difference-of-squares`
7×	`associate-/l*`
6×	`rem-log-exp` `add-cbrt-cube`
4×	`sqrt-div` `div-exp` `associate-/r/` `add-log-exp`
3×	`log-rec` `clear-num`
2×	`rec-exp` `flip3--` `pow-flip` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `1-exp` `flip--` `flip-+` `div-inv` `distribute-lft-out` `inv-pow`
1×	`cbrt-undiv`

Counts

4 → 130

Calls

4 calls:

6.0ms	(/ 1 (- 1.0 x))
4.0ms	(log (sqrt (+ 1.0 x)))
4.0ms	(log (sqrt (+ 1.0 x)))
7.0ms	(log (/ 1 (- 1.0 x)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (- 1.0 x))
87.0ms	(log (sqrt (+ 1.0 x)))
87.0ms	(log (sqrt (+ 1.0 x)))
73.0ms	(log (/ 1 (- 1.0 x)))

simplify42.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	389	838
1	1195	737
2	5001	671

prune202.0ms

Filtered

142 candidates to 79 candidates (44.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	142	6	148

Merged error: 0.1b

Counts

148 → 6

regimes73.0ms

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	20	12
1	20	12

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	3342×	body	1280	valid
613.0ms	2460×	body	640	valid
217.0ms	7941×	body	80	nan
194.0ms	1317×	body	320	valid
59.0ms	666×	body	160	valid
9.0ms	215×	body	80	valid