Details

sample1.4s

Algorithm

intervals

Results

1.2s	112×	body	10240	exit
61.0ms	262×	body	80	valid
56.0ms	48×	body	1280	nan
27.0ms	36×	body	640	nan
14.0ms	25×	body	320	nan
4.0ms	10×	body	160	nan
2.0ms	11×	body	80	nan

simplify110.0ms

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

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize51.0ms

Local error

Found 4 expressions with local error:

6.4b	(- (- 1.0 z) 1.0)
6.4b	(- (- 1.0 z) 1.0)
6.4b	(- (- 1.0 z) 1.0)
6.4b	(- (- 1.0 z) 1.0)

rewrite182.0ms

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:

41.0ms	(- (- 1.0 z) 1.0)
43.0ms	(- (- 1.0 z) 1.0)
43.0ms	(- (- 1.0 z) 1.0)
45.0ms	(- (- 1.0 z) 1.0)

series52.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
16.0ms	(- (- 1.0 z) 1.0)

simplify109.0ms

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

prune1.9s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.8b

localize57.0ms

Local error

Found 4 expressions with local error:

6.4b	(- (- 1.0 z) 1.0)
6.4b	(- (- 1.0 z) 1.0)
6.4b	(- (- 1.0 z) 1.0)
6.4b	(- (- 1.0 z) 1.0)

rewrite183.0ms

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:

43.0ms	(- (- 1.0 z) 1.0)
44.0ms	(- (- 1.0 z) 1.0)
42.0ms	(- (- 1.0 z) 1.0)
45.0ms	(- (- 1.0 z) 1.0)

series47.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify112.0ms

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

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.8b

localize66.0ms

Local error

Found 4 expressions with local error:

6.4b	(- (- 1.0 z) 1.0)
6.4b	(- (- 1.0 z) 1.0)
6.4b	(- (- 1.0 z) 1.0)
6.4b	(- (- 1.0 z) 1.0)

rewrite181.0ms

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:

41.0ms	(- (- 1.0 z) 1.0)
42.0ms	(- (- 1.0 z) 1.0)
42.0ms	(- (- 1.0 z) 1.0)
47.0ms	(- (- 1.0 z) 1.0)

series51.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
16.0ms	(- (- 1.0 z) 1.0)

simplify109.0ms

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

prune2.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.8b

localize64.0ms

Local error

Found 4 expressions with local error:

6.4b	(- (- 1.0 z) 1.0)
6.4b	(- (- 1.0 z) 1.0)
6.4b	(- (- 1.0 z) 1.0)
6.4b	(fma (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))) (cbrt (- 1.0 z)) (- 1.0))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

88×	`*-un-lft-identity`
79×	`add-sqr-sqrt`
72×	`prod-diff`
49×	`add-cube-cbrt`
33×	`associate--l+`
21×	`distribute-lft-out--`
19×	`add-log-exp`
15×	`fma-neg` `difference-of-squares`
9×	`diff-log`
6×	`sub-neg`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`associate--l-` `flip3--` `flip--`
1×	`fma-udef`

Counts

4 → 160

Calls

4 calls:

42.0ms	(- (- 1.0 z) 1.0)
43.0ms	(- (- 1.0 z) 1.0)
47.0ms	(- (- 1.0 z) 1.0)
0.0ms	(fma (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))) (cbrt (- 1.0 z)) (- 1.0))

series509.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
473.0ms	(fma (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))) (cbrt (- 1.0 z)) (- 1.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	317	1271
1	1205	679
2	5001	404

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.8b

regimes191.0ms

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

sample46.7s

Algorithm

intervals

Results

41.4s	3909×	body	10240	exit
1.7s	1497×	body	1280	nan
1.6s	8080×	body	80	valid
983.0ms	1273×	body	640	nan
338.0ms	609×	body	320	nan
122.0ms	332×	body	160	nan
50.0ms	275×	body	80	nan
0.0ms	1×	body	160	valid