Details

sample151.0ms

Algorithm

intervals

Results

79.0ms	111×	body	1280	valid
31.0ms	78×	body	640	valid
12.0ms	265×	body	80	nan
10.0ms	41×	body	320	valid
3.0ms	19×	body	160	valid
0.0ms	7×	body	80	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	20	4
2	23	4
3	23	4

prune3.0ms

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: 58.8b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.2b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite35.0ms

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-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 87

Calls

2 calls:

17.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
11.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series176.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
141.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify136.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	354	672
1	1096	638
2	4786	623
3	5001	622

prune155.0ms

Filtered

93 candidates to 63 candidates (67.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	88	5	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	5	94

Merged error: 0.1b

Counts

94 → 5

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

24×	`prod-diff`
23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`unpow-prod-down`
8×	`fma-neg`
5×	`unpow2` `sqr-pow`
4×	`difference-of-squares`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `fma-udef` `log1p-expm1-u` `associate--r+` `distribute-lft-out--`

Counts

1 → 52

Calls

1 calls:

7.0ms

(- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))

series89.0ms

Counts

1 → 3

Calls

1 calls:

89.0ms

(- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))

simplify138.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (129.0ms)

Iter	Nodes	Cost
0	203	877
1	600	486
2	3825	462
3	5001	461

prune78.0ms

Filtered

55 candidates to 27 candidates (49.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	55	5	60

Merged error: 0.1b

Counts

60 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

6.2b	(log (- 1.0 eps))
6.2b	(log (+ 1.0 eps))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod`
8×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `log-div`
2×	`expm1-log1p-u` `rem-log-exp` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

4.0ms	(log (- 1.0 eps))
3.0ms	(log (+ 1.0 eps))

series85.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(log (- 1.0 eps))
44.0ms	(log (+ 1.0 eps))

simplify55.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	197	210
1	521	189
2	1716	182
3	5002	177

prune76.0ms

Filtered

41 candidates to 32 candidates (78.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	40	6	46

Merged error: 0.1b

Counts

46 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

6.2b	(log (+ 1.0 eps))
6.3b	(log (sqrt (- 1.0 eps)))
6.3b	(log (sqrt (- 1.0 eps)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

20×	`log-prod`
14×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`sqrt-prod`
8×	`pow1` `add-cube-cbrt`
7×	`log-pow`
6×	`add-exp-log` `log-div`
4×	`sqrt-div`
3×	`expm1-log1p-u` `rem-log-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `sqrt-pow1` `pow1/2` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 63

Calls

3 calls:

3.0ms	(log (+ 1.0 eps))
4.0ms	(log (sqrt (- 1.0 eps)))
4.0ms	(log (sqrt (- 1.0 eps)))

series204.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(log (+ 1.0 eps))
82.0ms	(log (sqrt (- 1.0 eps)))
81.0ms	(log (sqrt (- 1.0 eps)))

simplify77.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	237	434
1	630	396
2	2379	382
3	5002	373

prune146.0ms

Filtered

72 candidates to 54 candidates (75.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	72	6	78

Merged error: 0.1b

Counts

78 → 6

regimes22.0ms

Accuracy

0% (0.6b remaining)

Error of 0.8b against oracle of 0.2b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	8
1	13	8

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	3354×	body	1280	valid
624.0ms	2507×	body	640	valid
220.0ms	7999×	body	80	nan
188.0ms	1273×	body	320	valid
57.0ms	630×	body	160	valid
10.0ms	236×	body	80	valid