Details

sample1.6s

Algorithm

intervals

Results

1.3s	120×	body	5120	exit
84.0ms	57×	body	1280	nan
60.0ms	258×	body	80	valid
40.0ms	42×	body	640	nan
12.0ms	18×	body	320	nan
7.0ms	16×	body	160	nan
1.0ms	4×	body	80	nan

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (18.0ms)

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

prune30.0ms

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

localize58.0ms

Local error

Found 4 expressions with local error:

7.9b	(- (- 1.0 z) 1.0)
7.9b	(- (- 1.0 z) 1.0)
7.9b	(- (- 1.0 z) 1.0)
7.9b	(- (- 1.0 z) 1.0)

rewrite52.0ms

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:

10.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 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	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

localize57.0ms

Local error

Found 4 expressions with local error:

7.9b	(- (- 1.0 z) 1.0)
7.9b	(- (- 1.0 z) 1.0)
7.9b	(- (- 1.0 z) 1.0)
7.9b	(- (- 1.0 z) 1.0)

rewrite45.0ms

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

series50.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
16.0ms	(- (- 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

prune1.8s

Filtered

212 candidates to 128 candidates (60.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	211	1	212
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	211	3	214

Merged error: 1.7b

Counts

214 → 3

localize60.0ms

Local error

Found 4 expressions with local error:

7.9b	(- (- 1.0 z) 1.0)
7.9b	(- (- 1.0 z) 1.0)
7.9b	(- (- 1.0 z) 1.0)
7.9b	(- (- 1.0 z) 1.0)

rewrite49.0ms

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)
9.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 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)

simplify116.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 3 (97.0ms)

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

prune1.9s

Filtered

212 candidates to 128 candidates (60.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	212	0	212
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	212	3	215

Merged error: 1.7b

Counts

215 → 3

regimes135.0ms

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

sample50.1s

Algorithm

intervals

Results

43.8s	4035×	body	5120	exit
2.1s	1550×	body	1280	nan
1.9s	8098×	body	80	valid
1.2s	1204×	body	640	nan
462.0ms	663×	body	320	nan
155.0ms	335×	body	160	nan
67.0ms	294×	body	80	nan
1.0ms	3×	body	160	valid