Details

sample39.0ms

Algorithm

intervals

Results

14.0ms	99×	body	1280	valid
9.0ms	97×	body	640	valid
4.0ms	403×	pre	80	true
2.0ms	37×	body	320	valid
2.0ms	155×	body	80	valid
0.0ms	15×	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

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: 58.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

3.9b	(- (exp x) 1.0)

rewrite5.0ms

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:

4.0ms

(- (exp x) 1.0)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify61.0ms

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

prune52.0ms

Filtered

31 candidates to 18 candidates (58.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Merged error: 0.1b

Counts

32 → 3

localize7.0ms

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))

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

prune39.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	10	6	16

Merged error: 0.1b

Counts

16 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (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))
0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
0.3b	(* (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

1.0ms	(sqrt (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))
1.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
6.0ms	(* (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

series144.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
27.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
27.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
32.0ms	(* (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

simplify39.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	179	658
1	731	573
2	5001	544

prune187.0ms

Filtered

98 candidates to 54 candidates (55.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	98	6	104

Merged error: 0.1b

Counts

104 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
0.0b	(log (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	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
1.0ms	(log (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))))

series103.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
48.0ms	(log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
28.0ms	(exp (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

simplify59.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (53.0ms)

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

prune116.0ms

Filtered

50 candidates to 34 candidates (68.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	2	2
Picked	1	0	1
Done	0	3	3
Total	50	6	56

Merged error: 0.1b

Counts

56 → 6

regimes66.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

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

472.0ms	3350×	body	1280	valid
215.0ms	2515×	body	640	valid
106.0ms	12042×	pre	80	true
70.0ms	1298×	body	320	valid
49.0ms	4233×	body	80	valid
21.0ms	646×	body	160	valid