Details

analyze64.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
54.6%	42.1%	3.2%	7
63.2%	30.4%	6.3%	8
69.9%	21.5%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
82%	7%	11%	12
83.9%	4.4%	11.8%	13
84.7%	3.5%	11.8%	14

sample18.0ms

Algorithm

intervals

Results

4.0ms	179×	body	80	valid
3.0ms	34×	body	640	valid
2.0ms	25×	body	320	valid
1.0ms	7×	body	1280	valid
0.0ms	11×	body	160	valid
0.0ms	1×	body	80	invalid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	1642	9
1	1642	9

prune3.0ms

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: 18.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 y))
3.6b	(+ x (* (- 1.0 x) (- 1.0 y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `frac-times` `add-cube-cbrt` `sub-neg` `add-cbrt-cube` `add-log-exp`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

8.0ms	(* (- 1.0 x) (- 1.0 y))
4.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* (- 1.0 x) (- 1.0 y))
5.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4927	573
1	4927	573

prune95.0ms

Filtered

39 candidates to 51 candidates (-30.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	3	52

Merged error: 0b

Counts

52 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x 1.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-r*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

6.0ms

(* y (- x 1.0))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* y (- x 1.0))

simplify36.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5129	172

prune32.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	28	2	30

Merged error: 0b

Counts

30 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* y x) (* y (neg 1.0)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `distribute-rgt-neg-out` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

4.0ms

(+ (* y x) (* y (neg 1.0)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(+ (* y x) (* y (neg 1.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5164	116

prune20.0ms

Filtered

11 candidates to 16 candidates (-45.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	16	2	18

Merged error: 0b

Counts

18 → 2

regimes61.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	9
1	67	9

end0.0ms

sample471.0ms

Algorithm

intervals

Results

151.0ms	5769×	body	80	valid
82.0ms	887×	body	640	valid
45.0ms	406×	body	1280	valid
41.0ms	580×	body	320	valid
17.0ms	358×	body	160	valid
2.0ms	81×	body	80	invalid

Details

analyze64.0ms

sample18.0ms

simplify90.0ms

prune3.0ms

localize5.0ms

rewrite17.0ms

series9.0ms

simplify55.0ms

prune95.0ms

localize4.0ms

rewrite7.0ms

series5.0ms

simplify36.0ms

prune32.0ms

localize6.0ms

rewrite6.0ms

series5.0ms

simplify47.0ms

prune20.0ms

regimes61.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample471.0ms

Profiling