Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

355×

body

valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	3
1	26	3
2	44	3
3	49	3
4	49	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: 9.4b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* x 3.0) x)
9.1b	(* (* (* x 3.0) x) 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:

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

series51.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (* x 3.0) x)
25.0ms	(* (* (* x 3.0) x) y)

simplify49.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	172	202
1	912	159
2	5002	159

prune79.0ms

Filtered

49 candidates to 25 candidates (51.0%)

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: 0.1b

Counts

50 → 10

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (* x 3.0) (* x y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l` `-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 24

Calls

1 calls:

7.0ms

(* (* x 3.0) (* x y))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* (* x 3.0) (* x y))

simplify135.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	137	133
1	626	98
2	3473	98
3	5001	98

prune40.0ms

Filtered

27 candidates to 11 candidates (40.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	28	9	37

Merged error: 0.0b

Counts

37 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

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

series46.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(* x (* 3.0 (* x y)))
22.0ms	(* 3.0 (* x y))

simplify140.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	158	200
1	663	157
2	3700	157
3	5001	157

prune70.0ms

Filtered

49 candidates to 26 candidates (53.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	48	10	58

Merged error: 0.0b

Counts

58 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(* x (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y))))
0.2b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y)))
0.3b	(* (cbrt 3.0) (* x y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

58×	`pow1` `add-exp-log`
40×	`pow-prod-down` `prod-exp` `cbrt-unprod`
36×	`add-cbrt-cube`
10×	`associate-l`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`cbrt-prod` `expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

3 → 88

Calls

3 calls:

15.0ms	(* x (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y))))
16.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y)))
6.0ms	(* (cbrt 3.0) (* x y))

series207.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(* x (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y))))
77.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y)))
50.0ms	(* (cbrt 3.0) (* x y))

simplify69.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	297	795
1	1342	561
2	5001	470

prune113.0ms

Filtered

97 candidates to 44 candidates (45.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	2	4	6
Picked	1	0	1
Done	1	2	3
Total	99	8	107

Merged error: 0.0b

Counts

107 → 8

regimes93.0ms

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

sample430.0ms

Algorithm

intervals

Results

251.0ms

10725×

body

valid