Details

sample19.0ms

Algorithm

intervals

Results

9.0ms	235×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	7×	body	640	valid
0.0ms	3×	body	2560	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	29	3
3	41	3
4	51	3
5	79	3
6	134	3
7	169	3
8	185	3
9	213	3
10	226	3
11	226	3

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 18

Calls

1 calls:

9.0ms

(+ x (/ (- x y) 2.0))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(+ x (/ (- x y) 2.0))

simplify100.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 4 (97.0ms)

Iter	Nodes	Cost
0	97	89
1	261	81
2	773	81
3	3727	81
4	5001	80

prune55.0ms

Filtered

21 candidates to 17 candidates (81.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	16	5	21
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	17	5	22

Merged error: 0.0b

Counts

22 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* 1.5 x) (* 0.5 y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `fma-neg` `diff-log` `prod-diff` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 16

Calls

1 calls:

4.0ms

(- (* 1.5 x) (* 0.5 y))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(- (* 1.5 x) (* 0.5 y))

simplify99.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	101	95
1	353	86
2	1096	86
3	2612	83
4	5001	83

prune32.0ms

Filtered

19 candidates to 14 candidates (73.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	23	1	24

Merged error: 0b

Counts

24 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 1.5 x (- (* 0.5 y)))

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 1.5 x (- (* 0.5 y)))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(fma 1.5 x (- (* 0.5 y)))

simplify146.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	26	58
1	54	51
2	192	51
3	760	51
4	4221	51
5	5001	51

prune24.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	1	14

Merged error: 0b

Counts

14 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	3
1	14	3
2	14	3

end0.0ms

sample365.0ms

Algorithm

intervals

Results

175.0ms	7386×	body	80	valid
21.0ms	217×	body	1280	valid
13.0ms	174×	body	640	valid
11.0ms	97×	body	2560	valid
5.0ms	80×	body	320	valid
2.0ms	48×	body	160	valid