Details

sample1.4s

Algorithm

intervals

Results

1.1s	108×	body	10240	exit
49.0ms	258×	body	80	valid
46.0ms	40×	body	1280	nan
30.0ms	37×	body	640	nan
10.0ms	17×	body	320	nan
6.0ms	15×	body	160	nan
3.0ms	15×	body	80	nan

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	148	63
1	619	63
2	4284	62
3	5001	62

prune32.0ms

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: 1.7b

Counts

2 → 2

localize61.0ms

Local error

Found 4 expressions with local error:

5.5b	(- (- 1.0 z) 1.0)
5.5b	(- (- 1.0 z) 1.0)
5.5b	(- (- 1.0 z) 1.0)
5.5b	(- (- 1.0 z) 1.0)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
96×	`prod-diff`
64×	`add-cube-cbrt`
44×	`associate--l+`
28×	`distribute-lft-out--`
24×	`add-log-exp`
20×	`fma-neg` `difference-of-squares`
12×	`diff-log`
8×	`sub-neg`
4×	`pow1` `add-exp-log` `associate--l-` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

4 → 200

Calls

4 calls:

9.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 1.0 z) 1.0)
8.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 1.0 z) 1.0)

series242.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
207.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)

simplify117.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	168	1460
1	532	756
2	2706	528
3	5002	460

prune1.6s

Filtered

212 candidates to 128 candidates (60.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	212	0	212
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	212	2	214

Merged error: 1.7b

Counts

214 → 2

localize67.0ms

Local error

Found 4 expressions with local error:

5.5b	(- (- 1.0 z) 1.0)
5.5b	(- (- 1.0 z) 1.0)
5.5b	(- (- 1.0 z) 1.0)
5.5b	(- (- 1.0 z) 1.0)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
96×	`prod-diff`
64×	`add-cube-cbrt`
44×	`associate--l+`
28×	`distribute-lft-out--`
24×	`add-log-exp`
20×	`fma-neg` `difference-of-squares`
12×	`diff-log`
8×	`sub-neg`
4×	`pow1` `add-exp-log` `associate--l-` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

4 → 200

Calls

4 calls:

15.0ms	(- (- 1.0 z) 1.0)
15.0ms	(- (- 1.0 z) 1.0)
15.0ms	(- (- 1.0 z) 1.0)
16.0ms	(- (- 1.0 z) 1.0)

series45.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)

simplify111.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	168	1460
1	532	756
2	2706	528
3	5002	460

prune1.6s

Filtered

212 candidates to 128 candidates (60.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	211	1	212
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	212	2	214

Merged error: 1.7b

Counts

214 → 2

localize65.0ms

Local error

Found 4 expressions with local error:

5.5b	(- (- 1.0 z) 1.0)
5.5b	(- (- 1.0 z) 1.0)
5.5b	(- (- 1.0 z) 1.0)
5.5b	(+ 1.0 (- (- z) 1.0))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
102×	`prod-diff`
99×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
33×	`associate--l+`
32×	`associate-+r+`
27×	`add-log-exp`
23×	`distribute-lft-out--`
15×	`fma-neg` `difference-of-squares`
11×	`diff-log`
10×	`distribute-rgt-neg-in`
9×	`distribute-lft-neg-in`
7×	`sub-neg`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`associate--l-` `neg-mul-1` `flip3--` `fma-def` `sum-log` `flip--` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `flip3-+` `neg-log` `flip-+`

Counts

4 → 204

Calls

4 calls:

14.0ms	(- (- 1.0 z) 1.0)
8.0ms	(- (- 1.0 z) 1.0)
8.0ms	(- (- 1.0 z) 1.0)
10.0ms	(+ 1.0 (- (- z) 1.0))

series47.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
12.0ms	(+ 1.0 (- (- z) 1.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	363	1421
1	1176	724
2	5002	479

prune1.7s

Filtered

216 candidates to 121 candidates (56.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	216	0	216
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	216	2	218

Merged error: 1.7b

Counts

218 → 2

regimes105.0ms

Accuracy

0% (0.0b remaining)

Error of 1.8b against oracle of 1.8b and baseline of 1.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	63
1	92	63
2	92	63

end0.0ms

sample46.1s

Algorithm

intervals

Results

41.0s	3898×	body	10240	exit
1.7s	1511×	body	1280	nan
1.5s	8087×	body	80	valid
958.0ms	1214×	body	640	nan
330.0ms	597×	body	320	nan
111.0ms	303×	body	160	nan
59.0ms	301×	body	80	nan
0.0ms	1×	body	160	valid