Details

sample1.5s

Algorithm

intervals

Results

1.2s	105×	body	10240	exit
104.0ms	259×	body	80	valid
80.0ms	47×	body	1280	nan
57.0ms	44×	body	640	nan
13.0ms	14×	body	320	nan
7.0ms	18×	body	80	nan
4.0ms	7×	body	160	nan
2.0ms	5×	body	80	overflowed

simplify111.0ms

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

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize53.0ms

Local error

Found 4 expressions with local error:

8.0b	(- (- 1.0 z) 1.0)
8.0b	(- (- 1.0 z) 1.0)
8.0b	(- (- 1.0 z) 1.0)
8.0b	(- (- 1.0 z) 1.0)

rewrite99.0ms

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:

22.0ms	(- (- 1.0 z) 1.0)
21.0ms	(- (- 1.0 z) 1.0)
21.0ms	(- (- 1.0 z) 1.0)
24.0ms	(- (- 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)
12.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)

simplify110.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 3 (98.0ms)

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

prune1.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.8b

localize52.0ms

Local error

Found 4 expressions with local error:

8.0b	(- (- 1.0 z) 1.0)
8.0b	(- (- 1.0 z) 1.0)
8.0b	(- (- 1.0 z) 1.0)
8.0b	(- (- 1.0 z) 1.0)

rewrite100.0ms

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:

23.0ms	(- (- 1.0 z) 1.0)
22.0ms	(- (- 1.0 z) 1.0)
22.0ms	(- (- 1.0 z) 1.0)
24.0ms	(- (- 1.0 z) 1.0)

series48.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
13.0ms	(- (- 1.0 z) 1.0)

simplify113.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 3 (95.0ms)

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

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.7b

localize65.0ms

Local error

Found 4 expressions with local error:

8.0b	(- (- 1.0 z) 1.0)
8.0b	(- (- 1.0 z) 1.0)
8.0b	(- (- 1.0 z) 1.0)
8.0b	(- (- 1.0 z) 1.0)

rewrite103.0ms

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:

23.0ms	(- (- 1.0 z) 1.0)
22.0ms	(- (- 1.0 z) 1.0)
22.0ms	(- (- 1.0 z) 1.0)
27.0ms	(- (- 1.0 z) 1.0)

series46.0ms

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)

simplify107.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 3 (94.0ms)

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

prune2.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 1.7b

localize67.0ms

Local error

Found 4 expressions with local error:

8.0b	(- (- 1.0 z) 1.0)
8.0b	(- (- 1.0 z) 1.0)
8.0b	(- (- 1.0 z) 1.0)
8.0b	(- (- 1.0 z) 1.0)

rewrite103.0ms

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:

21.0ms	(- (- 1.0 z) 1.0)
22.0ms	(- (- 1.0 z) 1.0)
27.0ms	(- (- 1.0 z) 1.0)
22.0ms	(- (- 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)
13.0ms	(- (- 1.0 z) 1.0)

simplify112.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 3 (98.0ms)

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

prune2.1s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 1.7b

regimes168.0ms

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

sample51.2s

Algorithm

intervals

Results

42.3s	3670×	body	10240	exit
3.4s	8093×	body	80	valid
2.5s	1462×	body	1280	nan
1.5s	1205×	body	640	nan
527.0ms	549×	body	320	nan
219.0ms	326×	body	160	nan
115.0ms	278×	body	80	nan
37.0ms	75×	body	80	overflowed