Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

327×

body

valid

simplify15.0ms

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: 0.3b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (* x 3.0) y) y)
0.2b	(* (* 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)
5.0ms	(* (* x 3.0) y)

series67.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* (* (* x 3.0) y) y)
24.0ms	(* (* x 3.0) y)

simplify50.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (11.0ms)

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

prune84.0ms

Filtered

49 candidates to 28 candidates (57.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	40	9	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	10	50

Merged error: 0.0b

Counts

50 → 10

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* x (* 3.0 y)) y)
0.3b	(* 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`
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:

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

series66.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* (* x (* 3.0 y)) y)
27.0ms	(* x (* 3.0 y))

simplify46.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	175	202
1	893	159
2	5002	159

prune69.0ms

Filtered

49 candidates to 25 candidates (51.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	50	9	59

Merged error: 0.0b

Counts

59 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* x 3.0) y)) (cbrt (* (* x 3.0) y)))
10.8b	(cbrt (* (* x 3.0) y))
10.8b	(cbrt (* (* x 3.0) y))
10.8b	(cbrt (* (* x 3.0) y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

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

series502.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (* (* x 3.0) y)) (cbrt (* (* x 3.0) y)))
116.0ms	(cbrt (* (* x 3.0) y))
111.0ms	(cbrt (* (* x 3.0) y))
114.0ms	(cbrt (* (* x 3.0) y))

simplify121.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (114.0ms)

Iter	Nodes	Cost
0	214	479
1	740	428
2	3499	371
3	5001	364

prune198.0ms

Filtered

78 candidates to 64 candidates (82.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	78	9	87

Merged error: 0.0b

Counts

87 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* x 3.0))
0.7b	(cbrt y)
10.8b	(cbrt (* (* x 3.0) y))
10.8b	(cbrt (* (* x 3.0) y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 46

Calls

4 calls:

2.0ms	(cbrt (* x 3.0))
1.0ms	(cbrt y)
4.0ms	(cbrt (* (* x 3.0) y))
5.0ms	(cbrt (* (* x 3.0) y))

series651.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(cbrt (* x 3.0))
200.0ms	(cbrt y)
112.0ms	(cbrt (* (* x 3.0) y))
115.0ms	(cbrt (* (* x 3.0) y))

simplify86.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 4 (81.0ms)

Iter	Nodes	Cost
0	151	243
1	291	221
2	787	201
3	2726	201
4	5001	199

prune186.0ms

Filtered

58 candidates to 52 candidates (89.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	58	9	67

Merged error: 0.0b

Counts

67 → 9

regimes148.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample397.0ms

Algorithm

intervals

Results

234.0ms

10628×

body

valid