Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

324×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	3
1	28	3
2	46	3
3	47	3
4	47	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: 0.5b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (* x 3.0) y) y)
0.5b	(* (* x 3.0) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

2 → 43

Calls

2 calls:

7.0ms	(* (* (* x 3.0) y) y)
6.0ms	(* (* x 3.0) y)

series62.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* (* (* x 3.0) y) y)
22.0ms	(* (* x 3.0) y)

simplify47.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	174	202
1	1038	159
2	5002	159

prune75.0ms

Filtered

49 candidates to 28 candidates (57.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	43	6	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	7	50

Merged error: 0.0b

Counts

50 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x (* 3.0 y))
0.2b	(* (* x (* 3.0 y)) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

2 → 43

Calls

2 calls:

5.0ms	(* x (* 3.0 y))
7.0ms	(* (* x (* 3.0 y)) y)

series60.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(* x (* 3.0 y))
39.0ms	(* (* x (* 3.0 y)) y)

simplify41.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	175	202
1	893	159
2	5001	159

prune60.0ms

Filtered

49 candidates to 25 candidates (51.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	48	8	56

Merged error: 0.0b

Counts

56 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* x 3.0) y)
20.1b	(cbrt (* (* (* x 3.0) y) y))
20.1b	(cbrt (* (* (* x 3.0) y) y))
20.1b	(cbrt (* (* (* x 3.0) y) y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

5.0ms	(* (* x 3.0) y)
5.0ms	(cbrt (* (* (* x 3.0) y) y))
5.0ms	(cbrt (* (* (* x 3.0) y) y))
5.0ms	(cbrt (* (* (* x 3.0) y) y))

series408.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* x 3.0) y)
131.0ms	(cbrt (* (* (* x 3.0) y) y))
133.0ms	(cbrt (* (* (* x 3.0) y) y))
123.0ms	(cbrt (* (* (* x 3.0) y) y))

simplify81.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	190	351
1	691	309
2	2875	279
3	5002	279

prune172.0ms

Filtered

65 candidates to 54 candidates (83.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	64	9	73

Merged error: 0.0b

Counts

73 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

11.0b	(cbrt (* (* x 3.0) y))
20.1b	(cbrt (* (* (* x 3.0) y) y))
20.1b	(cbrt (* (* (* x 3.0) y) y))
20.1b	(cbrt (* (* (* (cbrt (* (* x 3.0) y)) (cbrt (* (* x 3.0) y))) (cbrt (* (* x 3.0) y))) y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

4.0ms	(cbrt (* (* x 3.0) y))
6.0ms	(cbrt (* (* (* x 3.0) y) y))
5.0ms	(cbrt (* (* (* x 3.0) y) y))
15.0ms	(cbrt (* (* (* (cbrt (* (* x 3.0) y)) (cbrt (* (* x 3.0) y))) (cbrt (* (* x 3.0) y))) y))

series525.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(cbrt (* (* x 3.0) y))
135.0ms	(cbrt (* (* (* x 3.0) y) y))
132.0ms	(cbrt (* (* (* x 3.0) y) y))
147.0ms	(cbrt (* (* (* (cbrt (* (* x 3.0) y)) (cbrt (* (* x 3.0) y))) (cbrt (* (* x 3.0) y))) y))

simplify77.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	175	468
1	356	416
2	840	279
3	2219	279
4	5002	279

prune186.0ms

Filtered

56 candidates to 52 candidates (92.9%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	56	9	65

Merged error: 0.0b

Counts

65 → 9

regimes176.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample405.0ms

Algorithm

intervals

Results

238.0ms

10733×

body

valid