Details

sample96.0ms

Algorithm

intervals

Results

47.0ms	103×	body	1280	valid
22.0ms	80×	body	640	valid
7.0ms	247×	body	80	nan
7.0ms	44×	body	320	valid
2.0ms	20×	body	160	valid
0.0ms	9×	body	80	valid

simplify14.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.0b

localize8.0ms

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)))

rewrite20.0ms

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:

11.0ms	(/ (+ 1.0 x) (- 1.0 x))
5.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify118.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (26.0ms)

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

prune194.0ms

Filtered

88 candidates to 58 candidates (65.9%)

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)))

rewrite33.0ms

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:

27.0ms

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

series53.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify52.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (43.0ms)

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

prune279.0ms

Filtered

113 candidates to 68 candidates (60.2%)

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))))

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×	`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:

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

series448.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (+ 1.0 x) (- 1.0 x))
31.0ms	(/ (+ 1.0 x) (- 1.0 x))
186.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
193.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

simplify48.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (31.0ms)

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

prune448.0ms

Filtered

184 candidates to 122 candidates (66.3%)

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))))

rewrite41.0ms

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×	`flip3--` `log-pow` `flip--` `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 → 168

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))))

series381.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (+ 1.0 x) (- 1.0 x))
37.0ms	(/ (+ 1.0 x) (- 1.0 x))
121.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
191.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

simplify50.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	470	1467
1	1480	1389
2	5001	1323

prune390.0ms

Filtered

180 candidates to 119 candidates (66.1%)

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	20	12
1	20	12

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	3390×	body	1280	valid
631.0ms	2537×	body	640	valid
221.0ms	7907×	body	80	nan
176.0ms	1168×	body	320	valid
65.0ms	684×	body	160	valid
9.0ms	221×	body	80	valid