Details

sample46.0ms

Algorithm

intervals

Results

16.0ms	101×	body	1280	valid
8.0ms	86×	body	640	valid
5.0ms	136×	body	80	valid
4.0ms	384×	pre	80	true
3.0ms	42×	body	320	valid
1.0ms	19×	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: 58.1b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

4.8b	(- (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:

5.0ms

(- (exp x) 1.0)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify62.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (59.0ms)

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

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	2	32

Merged error: 0.0b

Counts

32 → 2

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))

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

prune34.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
0.6b	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.6b	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.6b	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

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

series251.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
62.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
59.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
62.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))

simplify170.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	268	1098
1	922	1018
2	4660	940
3	5001	940

prune267.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	92	4	96

Merged error: 0.0b

Counts

96 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.6b	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.6b	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.6b	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
1.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
1.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
1.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
60.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
64.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
63.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	125	672
1	313	628
2	1164	620
3	5001	620

prune255.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	64	4	68

Merged error: 0.0b

Counts

68 → 4

regimes57.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b 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

sample1.2s

Algorithm

intervals

Results

544.0ms	3450×	body	1280	valid
247.0ms	2559×	body	640	valid
125.0ms	11873×	pre	80	true
74.0ms	1196×	body	320	valid
56.0ms	4043×	body	80	valid
24.0ms	625×	body	160	valid