Details

sample16.0ms

Algorithm

intervals

Results

7.0ms	304×	body	80	valid
1.0ms	13×	body	1280	valid
1.0ms	7×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	32	4
2	75	4
3	141	4
4	170	4
5	170	4

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: 0.2b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 3.0 (- 2.0 (* x 3.0)))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-l/` `-commutative` `flip--` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 44

Calls

2 calls:

5.0ms	(* 3.0 (- 2.0 (* x 3.0)))
7.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series136.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* 3.0 (- 2.0 (* x 3.0)))
82.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify36.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	198	263
1	980	222
2	5002	219

prune69.0ms

Filtered

50 candidates to 31 candidates (62.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	42	8	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	8	51

Merged error: 0.1b

Counts

51 → 8

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* x (- 6.0 (* 9.0 x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-r` `associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

3.0ms	(- 6.0 (* 9.0 x))
5.0ms	(* x (- 6.0 (* 9.0 x)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- 6.0 (* 9.0 x))
68.0ms	(* x (- 6.0 (* 9.0 x)))

simplify94.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	140	190
1	583	168
2	3082	168
3	5002	168

prune62.0ms

Filtered

42 candidates to 26 candidates (61.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	36	6	42
Fresh	4	3	7
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:

0.1b	(* (- 2.0 (* x 3.0)) x)
0.1b	(* 3.0 (* (- 2.0 (* x 3.0)) x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`associate-l`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 40

Calls

2 calls:

5.0ms	(* (- 2.0 (* x 3.0)) x)
6.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series149.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* (- 2.0 (* x 3.0)) x)
82.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify33.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	183	252
1	779	211
2	5002	205

prune61.0ms

Filtered

46 candidates to 29 candidates (63.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	47	9	56

Merged error: 0.0b

Counts

56 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- 2.0 (* x 3.0)) x)
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
0.3b	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
10×	`associate-l`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r/` `associate-l/`
5×	`associate-r`
3×	`cbrt-prod` `flip3--` `*-commutative` `flip--` `add-log-exp`
1×	`unswap-sqr`

Counts

3 → 73

Calls

3 calls:

5.0ms	(* (- 2.0 (* x 3.0)) x)
13.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
7.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series374.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* (- 2.0 (* x 3.0)) x)
168.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
137.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify49.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	304	682
1	1319	511
2	5001	461

prune103.0ms

Filtered

82 candidates to 44 candidates (53.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	4	2	6
Picked	0	1	1
Done	1	1	2
Total	84	7	91

Merged error: 0b

Counts

91 → 7

regimes20.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample417.0ms

Algorithm

intervals

Results

230.0ms	9986×	body	80	valid
32.0ms	318×	body	1280	valid
28.0ms	302×	body	640	valid
9.0ms	139×	body	320	valid
3.0ms	68×	body	160	valid