Details

sample38.0ms

Algorithm

intervals

Results

16.0ms	118×	body	1280	valid
7.0ms	80×	body	640	valid
3.0ms	401×	pre	80	true
2.0ms	36×	body	320	valid
2.0ms	149×	body	80	valid
1.0ms	18×	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 (100.0%)

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: 58.9b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

4.5b	(- (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)

simplify59.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	137	205
1	379	130
2	1905	120
3	5001	90

prune44.0ms

Filtered

31 candidates to 18 candidates (41.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	1	32

Merged error: 0.0b

Counts

32 → 1

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))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(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	44	74
1	146	65
2	903	65
3	5001	65

prune30.0ms

Filtered

13 candidates to 10 candidates (23.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	3	14

Merged error: 0.0b

Counts

14 → 3

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	(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))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

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))))

series88.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(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))
28.0ms	(* (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))))

simplify203.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	126	537
1	544	466
2	4400	440
3	5001	440

prune127.0ms

Filtered

80 candidates to 41 candidates (48.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	80	3	83

Merged error: 0.0b

Counts

83 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
0.3b	(cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
0.3b	(cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
0.5b	(pow (cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) 4)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`sqrt-prod`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

2.0ms	(cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
2.0ms	(cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
2.0ms	(cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
3.0ms	(pow (cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) 4)

series287.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
67.0ms	(cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
66.0ms	(cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
87.0ms	(pow (cbrt (sqrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) 4)

simplify145.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (133.0ms)

Iter	Nodes	Cost
0	299	1020
1	958	953
2	4044	906
3	5001	868

prune259.0ms

Filtered

86 candidates to 65 candidates (24.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	86	3	89

Merged error: 0.0b

Counts

89 → 3

regimes19.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b 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

501.0ms	3548×	body	1280	valid
203.0ms	2452×	body	640	valid
103.0ms	12092×	pre	80	true
62.0ms	1227×	body	320	valid
47.0ms	4265×	body	80	valid
19.0ms	600×	body	160	valid