Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

303×

body

valid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	20	3
2	28	3
3	36	3
4	54	3
5	101	3
6	150	3
7	167	3
8	242	3
9	468	3
10	1547	3
11	5001	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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) x) y)
0.0b	(+ (* x y) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

6.0ms	(+ (+ (* x y) x) y)
4.0ms	(+ (* x y) x)

series44.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (+ (* x y) x) y)
30.0ms	(+ (* x y) x)

simplify58.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	143	138
1	451	129
2	1660	127
3	5001	126

prune38.0ms

Filtered

31 candidates to 21 candidates (67.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Merged error: 0b

Counts

32 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (* x y) x))
0.0b	(+ (* x y) x)
0.0b	(+ (* x y) x)
0.2b	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
14×	`sqrt-div`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
8×	`swap-sqr` `add-log-exp`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-r/` `associate-l/` `sum-log`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 94

Calls

4 calls:

4.0ms	(sqrt (+ (* x y) x))
4.0ms	(+ (* x y) x)
4.0ms	(+ (* x y) x)
12.0ms	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

series134.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sqrt (+ (* x y) x))
34.0ms	(+ (* x y) x)
30.0ms	(+ (* x y) x)
30.0ms	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

simplify212.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	218	559
1	822	500
2	4811	483
3	5002	483

prune147.0ms

Filtered

106 candidates to 59 candidates (55.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	106	3	109

Merged error: 0b

Counts

109 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x y) x) y)
0.0b	(+ (* x y) x)
0.0b	(pow (+ (+ (* x y) x) y) 3)
39.7b	(cbrt (pow (+ (+ (* x y) x) y) 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
14×	`cbrt-prod`
11×	`add-log-exp`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out`
4×	`cube-div` `flip3-+` `sum-log` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `associate-+l+` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 77

Calls

4 calls:

6.0ms	(+ (+ (* x y) x) y)
4.0ms	(+ (* x y) x)
11.0ms	(pow (+ (+ (* x y) x) y) 3)
7.0ms	(cbrt (pow (+ (+ (* x y) x) y) 3))

series96.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (+ (* x y) x) y)
35.0ms	(+ (* x y) x)
32.0ms	(pow (+ (+ (* x y) x) y) 3)
15.0ms	(cbrt (pow (+ (+ (* x y) x) y) 3))

simplify51.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	292	514
1	1352	491
2	5001	485

prune120.0ms

Filtered

89 candidates to 49 candidates (55.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	89	3	92

Merged error: 0b

Counts

92 → 3

regimes44.0ms

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	8	3
1	8	3

end0.0ms

sample308.0ms

Algorithm

intervals

Results

167.0ms	9127×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid