Details

sample96.0ms

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

simplify17.0ms

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

rewrite25.0ms

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×	`expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `log-pow`

Counts

2 → 102

Calls

2 calls:

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

series163.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (+ 1.0 x) (- 1.0 x))
125.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify124.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	355	782
1	1127	735
2	4656	717
3	5001	717

prune199.0ms

Filtered

108 candidates to 72 candidates (66.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	5	109

Merged error: 0.1b

Counts

109 → 5

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

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` `expm1-log1p-u` `frac-2neg` `pow-prod-down` `*-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 132

Calls

1 calls:

27.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify59.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	571	710
1	2436	587
2	5002	586

prune311.0ms

Filtered

135 candidates to 84 candidates (62.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	135	5	140

Merged error: 0.1b

Counts

140 → 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))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
63×	`add-sqr-sqrt`
50×	`log-prod`
45×	`times-frac`
39×	`add-cube-cbrt`
26×	`log-div`
21×	`associate-+r+`
15×	`associate-/r*`
14×	`add-exp-log`
13×	`pow1`
12×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
11×	`associate-+r-`
9×	`log-rec` `log-pow`
8×	`add-log-exp`
6×	`clear-num` `associate-/r/` `add-cbrt-cube` `distribute-lft-out`
5×	`rem-log-exp`
4×	`expm1-log1p-u` `associate-+l+` `fma-def` `div-exp` `sum-log` `log1p-expm1-u`
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 → 179

Calls

4 calls:

18.0ms	(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
6.0ms	(/ 1 (- 1.0 x))
6.0ms	(log (/ 1 (- 1.0 x)))
3.0ms	(log (+ 1.0 x))

series329.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
24.0ms	(/ 1 (- 1.0 x))
70.0ms	(log (/ 1 (- 1.0 x)))
42.0ms	(log (+ 1.0 x))

simplify52.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	524	1088
1	1664	964
2	5001	849

prune254.0ms

Filtered

191 candidates to 112 candidates (58.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	187	4	191
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	189	7	196

Merged error: 0.1b

Counts

196 → 7

localize12.0ms

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)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
32×	`log-prod`
31×	`add-sqr-sqrt`
30×	`log-pow`
28×	`pow1`
24×	`prod-diff`
23×	`add-cube-cbrt`
15×	`sqrt-prod`
10×	`log-div`
8×	`associate--r+` `add-log-exp`
7×	`add-exp-log` `distribute-lft-out--`
6×	`sqrt-pow1` `pow1/2` `sqrt-div`
4×	`expm1-log1p-u` `flip3--` `fma-neg` `diff-log` `associate--l+` `add-cbrt-cube` `flip--` `log1p-expm1-u` `difference-of-squares`
3×	`rem-log-exp`
2×	`associate--l-` `flip3-+` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg`

Counts

4 → 129

Calls

4 calls:

12.0ms	(- (log (+ 1.0 x)) (log (sqrt (- 1.0 x))))
3.0ms	(log (+ 1.0 x))
5.0ms	(log (sqrt (- 1.0 x)))
5.0ms	(log (sqrt (- 1.0 x)))

series389.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(- (log (+ 1.0 x)) (log (sqrt (- 1.0 x))))
42.0ms	(log (+ 1.0 x))
94.0ms	(log (sqrt (- 1.0 x)))
90.0ms	(log (sqrt (- 1.0 x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	448	1353
1	1263	1075
2	5002	1038

prune236.0ms

Filtered

141 candidates to 88 candidates (62.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	141	7	148

Merged error: 0.1b

Counts

148 → 7

regimes33.0ms

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	16	11
1	16	11

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	3331×	body	1280	valid
631.0ms	2533×	body	640	valid
229.0ms	7849×	body	80	nan
187.0ms	1259×	body	320	valid
62.0ms	671×	body	160	valid
9.0ms	206×	body	80	valid