Details

sample14.0ms

Algorithm

intervals

Results

5.0ms	235×	body	80	valid
0.0ms	6×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	3×	body	2560	valid
0.0ms	5×	body	320	valid
0.0ms	2×	body	160	valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

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:

10.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify140.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 4 (135.0ms)

Iter	Nodes	Cost
0	92	89
1	241	81
2	697	81
3	3396	81
4	5001	80

prune42.0ms

Filtered

21 candidates to 17 candidates (81.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	16	5	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	6	22

Merged error: 0.0b

Counts

22 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

144×	`prod-diff`
138×	`add-sqr-sqrt`
84×	`*-un-lft-identity`
79×	`associate-l`
76×	`add-cube-cbrt`
75×	`associate-r`
29×	`unswap-sqr`
25×	`*-commutative`
12×	`fma-neg`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 178

Calls

1 calls:

20.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify104.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	512	2497
1	1318	1647
2	5001	1443

prune93.0ms

Filtered

181 candidates to 39 candidates (21.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	4	0	4
Picked	1	0	1
Done	1	0	1
Total	186	1	187

Merged error: 0b

Counts

187 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (* 1.5 1) x (- (* y 0.5)))

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 1) x (- (* y 0.5)))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(fma (* 1.5 1) x (- (* y 0.5)))

simplify82.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (78.0ms)

Iter	Nodes	Cost
0	38	70
1	85	60
2	245	59
3	977	59
4	5001	58

prune27.0ms

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

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	4
1	21	4
2	21	4

end0.0ms

sample324.0ms

Algorithm

intervals

Results

146.0ms	7355×	body	80	valid
20.0ms	253×	body	1280	valid
10.0ms	154×	body	640	valid
9.0ms	90×	body	2560	valid
6.0ms	55×	body	160	valid
5.0ms	94×	body	320	valid