Details

sample1.5s

Algorithm

intervals

Results

1.3s	121×	body	10240	exit
53.0ms	46×	body	1280	nan
49.0ms	260×	body	80	valid
44.0ms	52×	body	640	nan
15.0ms	26×	body	320	nan
6.0ms	16×	body	160	nan
1.0ms	8×	body	80	nan

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (20.0ms)

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

prune35.0ms

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: 1.8b

Counts

2 → 2

localize52.0ms

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)

rewrite47.0ms

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

series46.0ms

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)

simplify124.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 3 (105.0ms)

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

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: 1.8b

Counts

214 → 2

localize56.0ms

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)

rewrite48.0ms

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:

14.0ms	(- (- 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)

simplify121.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 3 (107.0ms)

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

prune1.7s

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

localize62.0ms

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)

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:

14.0ms	(- (- 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)
11.0ms	(- (- 1.0 z) 1.0)

simplify121.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 3 (107.0ms)

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

2 alts after pruning (0 fresh and 2 done)

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

Merged error: 1.7b

Counts

214 → 2

regimes103.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample44.9s

Algorithm

intervals

Results

39.8s	3767×	body	10240	exit
1.6s	1356×	body	1280	nan
1.5s	8092×	body	80	valid
993.0ms	1235×	body	640	nan
355.0ms	619×	body	320	nan
120.0ms	311×	body	160	nan
50.0ms	265×	body	80	nan
0.0ms	1×	body	160	valid