Details

sample67.0ms

Algorithm

intervals

Results

43.0ms	235×	body	10240	exit
6.0ms	207×	body	80	valid
3.0ms	20×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	14×	body	160	valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	21	9
1	52	9
2	113	9
3	240	8
4	1625	8
5	5001	8

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 12.3b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ wj 1))
0.0b	(/ x (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
4.5b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

231×	`*-un-lft-identity`
175×	`times-frac`
129×	`add-sqr-sqrt`
124×	`add-cube-cbrt`
72×	`prod-diff`
52×	`distribute-lft-out`
24×	`associate-/l*`
20×	`associate-/r/`
13×	`add-cbrt-cube`
11×	`add-exp-log` `flip3-+` `associate-/r*` `flip-+` `div-inv`
9×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u`
3×	`frac-2neg` `clear-num`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `associate-/l/`

Counts

4 → 260

Calls

4 calls:

5.0ms	(/ wj (+ wj 1))
5.0ms	(/ x (+ wj 1))
13.0ms	(/ (/ x (+ wj 1)) (exp wj))
33.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series144.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ wj (+ wj 1))
23.0ms	(/ x (+ wj 1))
39.0ms	(/ (/ x (+ wj 1)) (exp wj))
59.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify125.0ms

Algorithm

egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	1015	4090
1	4555	3249
2	5001	3243

prune460.0ms

Filtered

272 candidates to 165 candidates (60.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	265	7	272
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	267	7	274

Merged error: 0.2b

Counts

274 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (pow wj 2))
0.0b	(* 2 (* wj x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`fma-def` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 37

Calls

2 calls:

5.0ms	(+ x (pow wj 2))
5.0ms	(* 2 (* wj x))

series51.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ x (pow wj 2))
22.0ms	(* 2 (* wj x))

simplify71.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	156	135
1	573	114
2	2454	114
3	5002	112

prune89.0ms

Filtered

43 candidates to 30 candidates (69.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	42	8	50

Merged error: 0.2b

Counts

50 → 8

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2 (* wj x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

5.0ms

(* 2 (* wj x))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(* 2 (* wj x))

simplify80.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	88	77
1	320	62
2	1237	62
3	3448	62
4	5001	62

prune49.0ms

Filtered

23 candidates to 13 candidates (56.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	23	8	31

Merged error: 0.2b

Counts

31 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ wj 1))
0.0b	(/ x (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
5.6b	(- wj (/ wj (+ wj 1)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

176×	`*-un-lft-identity`
163×	`times-frac`
121×	`add-sqr-sqrt`
116×	`add-cube-cbrt`
54×	`prod-diff`
29×	`distribute-lft-out`
24×	`associate-/l*`
18×	`associate-/r/`
13×	`add-cbrt-cube`
11×	`add-exp-log` `associate-/r*`
10×	`div-inv`
9×	`flip3-+` `flip-+`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `fma-neg` `clear-num`
2×	`difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 236

Calls

4 calls:

5.0ms	(/ wj (+ wj 1))
5.0ms	(/ x (+ wj 1))
9.0ms	(/ (/ x (+ wj 1)) (exp wj))
11.0ms	(- wj (/ wj (+ wj 1)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ wj (+ wj 1))
22.0ms	(/ x (+ wj 1))
39.0ms	(/ (/ x (+ wj 1)) (exp wj))
30.0ms	(- wj (/ wj (+ wj 1)))

simplify107.0ms

Algorithm

egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	918	2831
1	4079	2182
2	5001	2179

prune428.0ms

Filtered

248 candidates to 162 candidates (65.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	247	1	248
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	251	5	256

Merged error: 0.1b

Counts

256 → 5

regimes62.0ms

Accuracy

76.5% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.2b

bsearch38.0ms

Steps

Iters	Range		Point
9	1.8364001780596707e-08	0.001857967628030483	0.00013145565373278193

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	19
1	27	19

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.4s	7613×	body	10240	exit
193.0ms	6250×	body	80	valid
70.0ms	469×	body	640	valid
70.0ms	784×	body	320	valid
34.0ms	574×	body	160	valid