Details

sample99.0ms

Algorithm

intervals

Results

51.0ms	111×	body	1280	valid
20.0ms	82×	body	640	valid
8.0ms	273×	body	80	nan
5.0ms	36×	body	320	valid
2.0ms	20×	body	160	valid
0.0ms	7×	body	80	valid

simplify18.0ms

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	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: 58.4b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.5b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite21.0ms

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))
9.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series162.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (+ 1.0 x) (- 1.0 x))
131.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify129.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	357	782
1	1141	735
2	4719	717
3	5001	717

prune231.0ms

Filtered

108 candidates to 72 candidates (66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	0	0	0
Picked	0	1	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)))

rewrite36.0ms

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:

28.0ms

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

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify61.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	571	710
1	2436	587
2	5001	586

prune371.0ms

Filtered

135 candidates to 84 candidates (62.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	135	5	140

Merged error: 0.1b

Counts

140 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 x)) (log (- 1.0 x)))
5.5b	(log (- 1.0 x))
5.6b	(log (+ 1.0 x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`pow1` `log-prod`
16×	`add-cube-cbrt` `prod-diff`
15×	`log-pow`
8×	`log-div`
7×	`add-log-exp`
6×	`distribute-lft-out--`
5×	`add-exp-log` `associate--r+`
4×	`fma-neg` `diff-log` `associate--l+`
3×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `difference-of-squares`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg`

Counts

3 → 90

Calls

3 calls:

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

series350.0ms

Counts

3 → 9

Calls

3 calls:

260.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
48.0ms	(log (- 1.0 x))
42.0ms	(log (+ 1.0 x))

simplify129.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	374	839
1	1086	641
2	4583	628
3	5001	607

prune179.0ms

Filtered

99 candidates to 63 candidates (63.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	1	2
Picked	1	0	1
Done	1	1	2
Total	101	3	104

Merged error: 0b

Counts

104 → 3

localize16.0ms

Local error

Found 1 expressions with local error:

0.1b	(* 2/5 (/ (pow x 5) (pow 1.0 5)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt` `times-frac`
54×	`unpow-prod-down`
53×	`associate-r`
36×	`*-un-lft-identity`
35×	`add-cube-cbrt`
24×	`add-exp-log`
22×	`sqr-pow`
17×	`associate-*r/`
10×	`prod-exp` `unswap-sqr`
9×	`div-exp`
8×	`associate-/l*`
7×	`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 → 108

Calls

1 calls:

22.0ms

(* 2/5 (/ (pow x 5) (pow 1.0 5)))

series103.0ms

Counts

1 → 3

Calls

1 calls:

103.0ms

(* 2/5 (/ (pow x 5) (pow 1.0 5)))

simplify59.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	475	619
1	2232	601
2	5002	601

prune373.0ms

Filtered

111 candidates to 74 candidates (66.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	111	3	114

Merged error: 0b

Counts

114 → 3

regimes65.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	11
1	20	11

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	3432×	body	1280	valid
605.0ms	2429×	body	640	valid
226.0ms	7716×	body	80	nan
183.0ms	1243×	body	320	valid
63.0ms	693×	body	160	valid
8.0ms	203×	body	80	valid