Details

sample95.0ms

Algorithm

intervals

Results

49.0ms	106×	body	1280	valid
20.0ms	80×	body	640	valid
7.0ms	244×	body	80	nan
5.0ms	35×	body	320	valid
3.0ms	28×	body	160	valid
0.0ms	7×	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

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

rewrite20.0ms

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:

7.0ms	(/ (+ 1.0 x) (- 1.0 x))
8.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series168.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (+ 1.0 x) (- 1.0 x))
131.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify123.0ms

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 (65.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	99	5	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	5	105

Merged error: 0.1b

Counts

105 → 5

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

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:

24.0ms

(* 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)))

simplify63.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	567	700
1	2430	577
2	5001	576

prune270.0ms

Filtered

133 candidates to 82 candidates (61.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	133	5	138

Merged error: 0.1b

Counts

138 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

73×	`*-un-lft-identity`
62×	`add-sqr-sqrt`
50×	`log-prod`
45×	`times-frac`
38×	`add-cube-cbrt`
26×	`log-div`
21×	`associate-+r+`
15×	`associate-/r*`
14×	`add-exp-log`
12×	`pow1` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
11×	`associate-+r-`
9×	`log-rec`
8×	`log-pow` `add-log-exp`
6×	`clear-num` `associate-/r/` `add-cbrt-cube` `distribute-lft-out`
5×	`rem-log-exp`
4×	`associate-+l+` `div-exp` `sum-log`
3×	`flip3--` `frac-2neg` `flip3-+` `unsub-neg` `flip--` `flip-+` `div-inv`
2×	`associate-+l-` `rec-exp` `pow-flip` `1-exp` `inv-pow`
1×	`cbrt-undiv` `+-commutative`

Counts

4 → 167

Calls

4 calls:

15.0ms	(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
5.0ms	(/ 1 (- 1.0 x))
6.0ms	(log (/ 1 (- 1.0 x)))
3.0ms	(log (+ 1.0 x))

series315.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
27.0ms	(/ 1 (- 1.0 x))
68.0ms	(log (/ 1 (- 1.0 x)))
42.0ms	(log (+ 1.0 x))

simplify47.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	494	1066
1	1560	945
2	5001	827

prune217.0ms

Filtered

179 candidates to 101 candidates (56.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	175	4	179
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	177	7	184

Merged error: 0.1b

Counts

184 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (+ 1.0 x)) (log (sqrt (- 1.0 x))))
7.5b	(log (+ 1.0 x))
7.5b	(log (sqrt (- 1.0 x)))
7.5b	(log (sqrt (- 1.0 x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

32×	`log-prod`
26×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
15×	`sqrt-prod`
13×	`pow1`
12×	`add-cube-cbrt`
11×	`log-pow`
10×	`log-div`
8×	`associate--r+` `add-log-exp`
7×	`add-exp-log` `distribute-lft-out--`
6×	`sqrt-div`
4×	`flip3--` `diff-log` `associate--l+` `add-cbrt-cube` `flip--` `difference-of-squares`
3×	`rem-log-exp`
2×	`associate--l-` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg`

Counts

4 → 93

Calls

4 calls:

10.0ms	(- (log (+ 1.0 x)) (log (sqrt (- 1.0 x))))
3.0ms	(log (+ 1.0 x))
4.0ms	(log (sqrt (- 1.0 x)))
4.0ms	(log (sqrt (- 1.0 x)))

series362.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(- (log (+ 1.0 x)) (log (sqrt (- 1.0 x))))
44.0ms	(log (+ 1.0 x))
82.0ms	(log (sqrt (- 1.0 x)))
84.0ms	(log (sqrt (- 1.0 x)))

simplify88.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	346	730
1	888	695
2	3223	670
3	5002	656

prune185.0ms

Filtered

105 candidates to 73 candidates (69.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	105	7	112

Merged error: 0.1b

Counts

112 → 7

regimes30.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.1b 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

sample2.9s

Algorithm

intervals

Results

1.5s	3331×	body	1280	valid
655.0ms	2533×	body	640	valid
227.0ms	7849×	body	80	nan
195.0ms	1259×	body	320	valid
63.0ms	671×	body	160	valid
9.0ms	206×	body	80	valid