Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

343×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	70	3
3	90	3
4	97	3
5	97	3

prune1.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

7.0ms

(* (* x y) (- 1.0 y))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(* (* x y) (- 1.0 y))

simplify29.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	167	140
1	840	114
2	5002	114

prune32.0ms

Filtered

29 candidates to 15 candidates (51.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	3	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Merged error: 0.0b

Counts

30 → 4

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- 1.0 y))
5.4b	(* x (* y (- 1.0 y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

9.0ms	(* y (- 1.0 y))
7.0ms	(* x (* y (- 1.0 y)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* y (- 1.0 y))
43.0ms	(* x (* y (- 1.0 y)))

simplify31.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	198	252
1	861	214
2	5002	214

prune56.0ms

Filtered

60 candidates to 30 candidates (50.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	60	4	64

Merged error: 0.0b

Counts

64 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* x y) (sqrt (- 1.0 y)))
0.1b	(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
14×	`sqrt-div`
10×	`add-sqr-sqrt` `-un-lft-identity` `associate-r/` `sqrt-prod`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`flip3--` `flip--`
6×	`add-cube-cbrt`
4×	`frac-times`
2×	`associate-l` `associate-l/` `-commutative` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

2 → 59

Calls

2 calls:

8.0ms	(* (* x y) (sqrt (- 1.0 y)))
14.0ms	(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

series146.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(* (* x y) (sqrt (- 1.0 y)))
46.0ms	(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	351	496
1	1750	409
2	5001	393

prune85.0ms

Filtered

65 candidates to 35 candidates (53.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	65	4	69

Merged error: 0.0b

Counts

69 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (sqrt 1.0) (sqrt y))
0.1b	(* (* (* x y) (+ (sqrt 1.0) (sqrt y))) (- (sqrt 1.0) (sqrt y)))
0.1b	(* (* x y) (+ (sqrt 1.0) (sqrt y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

6.0ms	(- (sqrt 1.0) (sqrt y))
20.0ms	(* (* (* x y) (+ (sqrt 1.0) (sqrt y))) (- (sqrt 1.0) (sqrt y)))
9.0ms	(* (* x y) (+ (sqrt 1.0) (sqrt y)))

series397.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- (sqrt 1.0) (sqrt y))
268.0ms	(* (* (* x y) (+ (sqrt 1.0) (sqrt y))) (- (sqrt 1.0) (sqrt y)))
88.0ms	(* (* x y) (+ (sqrt 1.0) (sqrt y)))

simplify107.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	529	891
1	3219	697
2	5003	676

prune134.0ms

Filtered

90 candidates to 53 candidates (58.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	89	5	94

Merged error: 0b

Counts

94 → 5

regimes55.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample387.0ms

Algorithm

intervals

Results

221.0ms

10670×

body

valid