Details

sample81.0ms

Algorithm

intervals

Results

43.0ms	109×	body	1280	valid
17.0ms	83×	body	640	valid
5.0ms	227×	body	80	nan
4.0ms	36×	body	320	valid
1.0ms	14×	body	160	valid
0.0ms	14×	body	80	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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: 57.2b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite17.0ms

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:

8.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series178.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
145.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify137.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (128.0ms)

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

prune168.0ms

Filtered

93 candidates to 63 candidates (67.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	6	94

Merged error: 0.2b

Counts

94 → 6

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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))

series97.0ms

Counts

1 → 3

Calls

1 calls:

97.0ms

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

simplify135.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (126.0ms)

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

prune91.0ms

Filtered

55 candidates to 27 candidates (49.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	53	8	61

Merged error: 0.2b

Counts

61 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))) (cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))))
0.6b	(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))
0.6b	(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))
0.6b	(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
64×	`cbrt-prod`
35×	`*-un-lft-identity`
28×	`difference-of-squares`
18×	`cbrt-div`
15×	`add-cube-cbrt`
13×	`swap-sqr`
11×	`pow1` `associate-r` `associate-l`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
7×	`unpow-prod-down` `unpow2` `sqr-pow`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 127

Calls

4 calls:

16.0ms	(* (cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))) (cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))))
5.0ms	(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))
5.0ms	(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))
5.0ms	(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))

series1.2s

Counts

4 → 12

Calls

4 calls:

307.0ms	(* (cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))) (cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))))
288.0ms	(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))
292.0ms	(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))
290.0ms	(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))

simplify120.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	248	1917
1	810	1797
2	3651	1667
3	5002	1659

prune372.0ms

Filtered

139 candidates to 96 candidates (69.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	137	2	139
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	139	8	147

Merged error: 0.1b

Counts

147 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))
0.6b	(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))
0.6b	(pow (cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))) 6)
32.0b	(pow (pow (cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))) 6) 1/3)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

41×	`unpow-prod-down`
37×	`add-sqr-sqrt`
32×	`cbrt-prod`
21×	`*-un-lft-identity`
16×	`difference-of-squares`
13×	`add-cube-cbrt`
7×	`add-exp-log` `sqr-pow`
6×	`pow-unpow`
5×	`pow1` `pow-exp`
4×	`expm1-log1p-u` `cbrt-div` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--` `unpow2` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `pow1/3`
2×	`flip3--` `flip--`
1×	`unpow1/3`

Counts

4 → 102

Calls

4 calls:

5.0ms	(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))
5.0ms	(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))
11.0ms	(pow (cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))) 6)
9.0ms	(pow (pow (cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))) 6) 1/3)

series1.5s

Counts

4 → 12

Calls

4 calls:

294.0ms	(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))
289.0ms	(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))
362.0ms	(pow (cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))) 6)
520.0ms	(pow (pow (cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))) 6) 1/3)

simplify50.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	366	1203
1	1165	1113
2	5002	1015

prune286.0ms

Filtered

114 candidates to 68 candidates (59.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	112	10	122

Merged error: 0.1b

Counts

122 → 10

regimes136.0ms

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	13	8
1	13	8

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	3416×	body	1280	valid
539.0ms	2485×	body	640	valid
166.0ms	7846×	body	80	nan
158.0ms	1251×	body	320	valid
48.0ms	641×	body	160	valid
7.0ms	207×	body	80	valid