Details

sample38.0ms

Algorithm

intervals

Results

16.0ms	112×	body	1280	valid
6.0ms	71×	body	640	valid
4.0ms	392×	pre	80	true
2.0ms	38×	body	320	valid
2.0ms	143×	body	80	valid
1.0ms	28×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	7	2
2	7	2

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.0b

localize3.0ms

Local error

Found 1 expressions with local error:

6.9b	(- (exp x) 1.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

5.0ms

(- (exp x) 1.0)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify63.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	140	205
1	403	130
2	2063	120
3	5003	90

prune60.0ms

Filtered

31 candidates to 18 candidates (58.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

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 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

simplify36.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	45	74
1	152	65
2	948	65
3	5001	65

prune41.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
2.9b	(exp (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `exp-prod`
3×	`expm1-log1p-u` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `fma-udef` `rem-exp-log`

Counts

3 → 41

Calls

3 calls:

1.0ms	(log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
1.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
2.0ms	(exp (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

series98.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
29.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
27.0ms	(exp (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

simplify61.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	149	335
1	435	297
2	1952	287
3	5001	278

prune127.0ms

Filtered

50 candidates to 36 candidates (72.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/24 (pow x 2) (fma 1/2 x (log x)))
3.0b	(exp (fma 1/24 (pow x 2) (fma 1/2 x (log x))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

1.0ms	(fma 1/24 (pow x 2) (fma 1/2 x (log x)))
2.0ms	(exp (fma 1/24 (pow x 2) (fma 1/2 x (log x))))

series51.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(fma 1/24 (pow x 2) (fma 1/2 x (log x)))
20.0ms	(exp (fma 1/24 (pow x 2) (fma 1/2 x (log x))))

simplify42.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	108	189
1	302	166
2	1548	166
3	5001	159

prune70.0ms

Filtered

30 candidates to 23 candidates (76.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes69.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4

end0.0ms

sample1.1s

Algorithm

intervals

Results

483.0ms	3450×	body	1280	valid
207.0ms	2448×	body	640	valid
101.0ms	11944×	pre	80	true
65.0ms	1303×	body	320	valid
46.0ms	4135×	body	80	valid
19.0ms	608×	body	160	valid