Details

sample36.0ms

Algorithm

intervals

Results

16.0ms	117×	body	1280	valid
5.0ms	57×	body	640	valid
3.0ms	362×	pre	80	true
3.0ms	48×	body	320	valid
1.0ms	113×	body	80	valid
1.0ms	27×	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: 58.4b

localize3.0ms

Local error

Found 1 expressions with local error:

8.7b	(- (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)

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(- (exp x) 1.0)

simplify60.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (57.0ms)

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

prune57.0ms

Filtered

31 candidates to 18 candidates (58.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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:

0.0ms

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

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify33.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

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

prune40.0ms

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 2 expressions with local error:

0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
3.1b	(exp (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

0.0ms	(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))))

series52.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
26.0ms	(exp (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

simplify41.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	79	197
1	205	179
2	1034	170
3	5001	164

prune81.0ms

Filtered

33 candidates to 22 candidates (66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
3.3b	(pow E (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `pow-unpow`
3×	`unpow-prod-up` `add-exp-log` `unpow-prod-down` `log-prod`
2×	`expm1-log1p-u` `pow-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `log-pow` `fma-udef` `sqr-pow`

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
2.0ms	(pow E (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

series95.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
69.0ms	(pow E (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

simplify79.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	193	333
1	569	317
2	2627	300
3	5003	266

prune101.0ms

Filtered

40 candidates to 29 candidates (72.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes85.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

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

482.0ms	3392×	body	1280	valid
216.0ms	2513×	body	640	valid
95.0ms	11961×	pre	80	true
67.0ms	1281×	body	320	valid
48.0ms	4144×	body	80	valid
23.0ms	631×	body	160	valid