Details

sample250.0ms

Algorithm

intervals

Results

4.0ms	70×	body	1280	valid
3.0ms	157×	body	80	valid
3.0ms	58×	body	640	valid
1.0ms	27×	body	320	valid
0.0ms	11×	body	160	valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	40	4
2	123	4
3	279	4
4	490	4
5	713	4
6	1046	4
7	2001	4
8	3844	4
9	5001	4

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 38.8b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
3.3b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

123×	`*-un-lft-identity`
66×	`add-sqr-sqrt`
60×	`prod-diff`
46×	`add-cube-cbrt`
31×	`swap-sqr` `distribute-lft-out`
22×	`associate-l`
20×	`fma-neg` `associate-r`
9×	`pow1`
6×	`flip3-+` `*-commutative` `flip-+` `unswap-sqr`
5×	`difference-of-squares`
4×	`add-exp-log` `+-commutative` `distribute-rgt-in` `frac-times` `distribute-lft-in` `associate--l+` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-out--`
2×	`expm1-log1p-u` `associate-r/` `associate-l/` `log1p-expm1-u`
1×	`pow2` `sub-neg` `flip3--` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `pow-prod-up` `flip--` `cbrt-unprod`

Counts

2 → 150

Calls

2 calls:

8.0ms	(* (+ x 1.0) (+ x 1.0))
19.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series90.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (+ x 1.0) (+ x 1.0))
74.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify63.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	374	1276
1	1559	776
2	5003	743

prune116.0ms

Filtered

156 candidates to 56 candidates (35.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	154	2	156
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	155	2	157

Merged error: 0b

Counts

157 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x 2.0 (pow x 2))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma x 2.0 (pow x 2))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(fma x 2.0 (pow x 2))

simplify47.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	24	43
1	67	38
2	263	38
3	1043	38
4	5001	38

prune23.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0b

Counts

15 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (fma 2.0 x 1.0))
3.3b	(- (fma x x (fma 2.0 x 1.0)) 1.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `prod-diff`
4×	`add-log-exp`
3×	`fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 39

Calls

2 calls:

1.0ms	(fma x x (fma 2.0 x 1.0))
4.0ms	(- (fma x x (fma 2.0 x 1.0)) 1.0)

series104.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(fma x x (fma 2.0 x 1.0))
81.0ms	(- (fma x x (fma 2.0 x 1.0)) 1.0)

simplify108.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	136	287
1	477	205
2	3620	186
3	5001	163

prune64.0ms

Filtered

45 candidates to 30 candidates (66.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	45	2	47

Merged error: 0b

Counts

47 → 2

regimes12.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	2

end0.0ms

sample466.0ms

Algorithm

intervals

Results

145.0ms	2312×	body	1280	valid
85.0ms	1634×	body	640	valid
79.0ms	5303×	body	80	valid
34.0ms	848×	body	320	valid
12.0ms	470×	body	160	valid