Details

sample1.4s

Algorithm

intervals

Results

1.1s	108×	body	10240	exit
65.0ms	258×	body	80	valid
52.0ms	46×	body	1280	nan
33.0ms	43×	body	640	nan
11.0ms	20×	body	320	nan
6.0ms	16×	body	160	nan
2.0ms	12×	body	80	nan

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (19.0ms)

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

localize56.0ms

Local error

Found 4 expressions with local error:

4.7b	(- (- 1.0 z) 1.0)
4.7b	(- (- 1.0 z) 1.0)
4.7b	(- (- 1.0 z) 1.0)
4.7b	(- (- 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:

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)

series43.0ms

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 (100.0ms)

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	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

localize63.0ms

Local error

Found 4 expressions with local error:

4.7b	(- (- 1.0 z) 1.0)
4.7b	(- (- 1.0 z) 1.0)
4.7b	(- (- 1.0 z) 1.0)
4.7b	(- (- 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)

simplify114.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 3 (100.0ms)

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

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	210	2	212
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	211	3	214

Merged error: 1.8b

Counts

214 → 3

localize64.0ms

Local error

Found 4 expressions with local error:

4.7b	(- (- 1.0 z) 1.0)
4.7b	(- (- 1.0 z) 1.0)
4.7b	(- (- 1.0 z) 1.0)
4.8b	(- 1.0 (+ z 1.0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

107×	`*-un-lft-identity`
89×	`add-sqr-sqrt`
84×	`prod-diff`
57×	`add-cube-cbrt`
33×	`associate--l+`
24×	`add-log-exp`
23×	`distribute-lft-out--`
18×	`fma-neg`
16×	`difference-of-squares`
11×	`diff-log`
7×	`sub-neg`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out`
3×	`associate--l-`
1×	`sum-log` `associate--r+`

Counts

4 → 184

Calls

4 calls:

14.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 1.0 z) 1.0)
7.0ms	(- 1.0 (+ z 1.0))

series44.0ms

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))

simplify49.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	271	1346
1	998	718
2	5002	509

prune1.8s

Filtered

196 candidates to 116 candidates (59.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	195	1	196
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	196	3	199

Merged error: 1.8b

Counts

199 → 3

localize63.0ms

Local error

Found 4 expressions with local error:

4.7b	(- (- 1.0 z) 1.0)
4.7b	(- (- 1.0 z) 1.0)
4.7b	(- (- 1.0 z) 1.0)
4.7b	(- (- 1.0 z) 1.0)

rewrite46.0ms

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)

series48.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (- 1.0 z) 1.0)
10.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
16.0ms	(- (- 1.0 z) 1.0)

simplify112.0ms

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

prune1.8s

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: 1.8b

Counts

215 → 3

regimes128.0ms

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 (1.0ms)

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

end0.0ms

sample46.0s

Algorithm

intervals

Results

40.8s	3870×	body	10240	exit
1.8s	1546×	body	1280	nan
1.5s	8101×	body	80	valid
1.0s	1292×	body	640	nan
355.0ms	631×	body	320	nan
118.0ms	316×	body	160	nan
60.0ms	314×	body	80	nan
0.0ms	1×	body	160	valid