Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

355×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	74	3
3	112	3
4	123	3
5	127	3
6	127	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))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

18×	`prod-diff`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 46

Calls

1 calls:

8.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	292	436
1	1402	284
2	5001	272

prune49.0ms

Filtered

49 candidates to 19 candidates (38.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	5	50

Merged error: 0.0b

Counts

50 → 5

localize14.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`associate-*l/`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `flip3-+` `associate-l` `*-commutative` `flip-+` `log1p-expm1-u` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

11.0ms

(* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)

simplify34.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	188	204
1	1005	133
2	5002	126

prune57.0ms

Filtered

25 candidates to 18 candidates (72.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	25	5	30

Merged error: 0.0b

Counts

30 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- 1.0 y))
4.3b	(* x (* y (- 1.0 y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
45×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
41×	`add-cube-cbrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`sub-neg` `associate-r/` `associate-r` `associate-l*`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 112

Calls

2 calls:

10.0ms	(* y (- 1.0 y))
9.0ms	(* x (* y (- 1.0 y)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* y (- 1.0 y))
42.0ms	(* x (* y (- 1.0 y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	396	1094
1	1575	666
2	5002	648

prune81.0ms

Filtered

118 candidates to 42 candidates (35.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	117	6	123

Merged error: 0b

Counts

123 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-sqr-sqrt` `sqrt-prod`
18×	`add-exp-log` `*-un-lft-identity` `sqrt-div` `add-cbrt-cube`
16×	`associate-r`
10×	`add-cube-cbrt` `associate-*r/`
9×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 101

Calls

4 calls:

8.0ms	(sqrt (- 1.0 y))
8.0ms	(sqrt (- 1.0 y))
152.0ms	(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
8.0ms	(* (* x y) (sqrt (- 1.0 y)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt (- 1.0 y))
35.0ms	(sqrt (- 1.0 y))
45.0ms	(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
155.0ms	(* (* x y) (sqrt (- 1.0 y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	415	730
1	1956	629
2	5001	605

prune176.0ms

Filtered

113 candidates to 73 candidates (64.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	113	6	119

Merged error: 0b

Counts

119 → 6

regimes66.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	12
1	27	12
2	27	12

end0.0ms

sample423.0ms

Algorithm

intervals

Results

246.0ms

10740×

body

valid