Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

348×

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

localize7.0ms

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))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify43.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (38.0ms)

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

prune48.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x y) 1.0) (* (* x y) (- y)))
0.2b	(* (* x y) (- y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `neg-mul-1` `fma-def` `flip3-+` `associate-l` `unsub-neg` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 45

Calls

2 calls:

5.0ms	(+ (* (* x y) 1.0) (* (* x y) (- y)))
6.0ms	(* (* x y) (- y))

series108.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(+ (* (* x y) 1.0) (* (* x y) (- y)))
33.0ms	(* (* x y) (- y))

simplify58.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	252	263
1	1522	222
2	5002	217

prune74.0ms

Filtered

51 candidates to 36 candidates (70.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	51	5	56

Merged error: 0.0b

Counts

56 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`pow1` `add-exp-log`
15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `distribute-lft-out--` `difference-of-squares`
2×	`associate-*l/`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 83

Calls

4 calls:

14.0ms	(* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))

series482.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
92.0ms	(cbrt (- 1.0 y))
86.0ms	(cbrt (- 1.0 y))
87.0ms	(cbrt (- 1.0 y))

simplify45.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	433	751
1	1449	680
2	5002	664

prune341.0ms

Filtered

95 candidates to 74 candidates (77.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	93	7	100

Merged error: 0.0b

Counts

100 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))

series333.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(cbrt (- 1.0 y))
85.0ms	(cbrt (- 1.0 y))
82.0ms	(cbrt (- 1.0 y))
84.0ms	(cbrt (- 1.0 y))

simplify57.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	191	536
1	500	516
2	1627	500
3	5002	472

prune363.0ms

Filtered

80 candidates to 72 candidates (90.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	80	7	87

Merged error: 0.0b

Counts

87 → 7

regimes61.0ms

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	14	6
1	18	6
2	24	6
3	24	6

end0.0ms

sample349.0ms

Algorithm

intervals

Results

192.0ms

10554×

body

valid