Details

sample20.0ms

Algorithm

intervals

Results

5.0ms	210×	body	80	valid
3.0ms	16×	body	160	valid
2.0ms	28×	body	640	valid
1.0ms	15×	body	1280	valid
1.0ms	16×	body	320	valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	13	4
1	29	3
2	84	3
3	281	3
4	786	3
5	1465	3
6	3536	3
7	5002	3

prune5.0ms

Filtered

1 candidates to 1 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: 16.9b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

3.3b	(fma (- 1.0 y) (- 1.0 x) 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 (- 1.0 y) (- 1.0 x) x)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(fma (- 1.0 y) (- 1.0 x) x)

simplify42.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	35	63
1	84	53
2	298	53
3	1476	50
4	5001	50

prune28.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	13	2	15

Merged error: 0b

Counts

15 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma y (- x 1.0) 1.0)

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 y (- x 1.0) 1.0)

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(fma y (- x 1.0) 1.0)

simplify40.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	32	50
1	67	39
2	280	39
3	1533	39
4	5002	39

prune19.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0b

Counts

15 → 2

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma y (- x 1.0) 1.0)
0.0b	(sqrt (fma y (- x 1.0) 1.0))
0.0b	(sqrt (fma y (- x 1.0) 1.0))
0.2b	(* (sqrt (fma y (- x 1.0) 1.0)) (sqrt (fma y (- x 1.0) 1.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`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×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma y (- x 1.0) 1.0)
1.0ms	(sqrt (fma y (- x 1.0) 1.0))
1.0ms	(sqrt (fma y (- x 1.0) 1.0))
6.0ms	(* (sqrt (fma y (- x 1.0) 1.0)) (sqrt (fma y (- x 1.0) 1.0)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(fma y (- x 1.0) 1.0)
73.0ms	(sqrt (fma y (- x 1.0) 1.0))
73.0ms	(sqrt (fma y (- x 1.0) 1.0))
22.0ms	(* (sqrt (fma y (- x 1.0) 1.0)) (sqrt (fma y (- x 1.0) 1.0)))

simplify144.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (135.0ms)

Iter	Nodes	Cost
0	176	477
1	596	413
2	3623	395
3	5001	384

prune132.0ms

Filtered

103 candidates to 60 candidates (58.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	103	2	105

Merged error: 0b

Counts

105 → 2

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	2

end0.0ms

sample472.0ms

Algorithm

intervals

Results

165.0ms	6967×	body	80	valid
69.0ms	811×	body	640	valid
44.0ms	399×	body	1280	valid
35.0ms	555×	body	320	valid
17.0ms	385×	body	160	valid