Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.4%	13
66.6%	0%	33.4%	14

sample10.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify101.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4975	9
1	4975	9

prune6.0ms

Filtered

1 candidates to 1 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 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- 3.0 (* x 2.0)))
0.2b	(* x (* x (- 3.0 (* x 2.0))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* x (- 3.0 (* x 2.0)))
7.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify36.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5524	490

prune54.0ms

Filtered

29 candidates to 52 candidates (-79.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	49	5	54

Merged error: 0.0b

Counts

54 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (* x 3.0)) (* 2.0 (neg (pow x 3))))
0.2b	(* x (* x 3.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `unsub-neg` `sum-log` `*-commutative` `distribute-rgt-neg-out` `flip-+`

Counts

2 → 30

Calls

2 calls:

7.0ms	(+ (* x (* x 3.0)) (* 2.0 (neg (pow x 3))))
5.0ms	(* x (* x 3.0))

series12.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* x (* x 3.0)) (* 2.0 (neg (pow x 3))))
3.0ms	(* x (* x 3.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5331	297

prune43.0ms

Filtered

22 candidates to 36 candidates (-63.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	36	5	41

Merged error: 0.0b

Counts

41 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x x) (- 3.0 (* x 2.0)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

7.0ms

(* (* x x) (- 3.0 (* x 2.0)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (* x x) (- 3.0 (* x 2.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4915	272
1	4915	272

prune26.0ms

Filtered

15 candidates to 26 candidates (-73.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	26	5	31

Merged error: 0.0b

Counts

31 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series90.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt x) (cbrt x))
21.0ms	(cbrt x)
21.0ms	(cbrt x)
22.0ms	(cbrt x)

simplify44.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5165	356

prune71.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

regimes62.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	11
1	38	11

end0.0ms

sample256.0ms

Algorithm

intervals

Results

179.0ms	8000×	body	80	valid
0.0ms	3×	body	80	invalid

Details

analyze3.0ms

sample10.0ms

simplify101.0ms

prune6.0ms

localize5.0ms

rewrite14.0ms

series13.0ms

simplify36.0ms

prune54.0ms

localize8.0ms

rewrite12.0ms

series12.0ms

simplify43.0ms

prune43.0ms

localize5.0ms

rewrite8.0ms

series7.0ms

simplify50.0ms

prune26.0ms

localize9.0ms

rewrite12.0ms

series90.0ms

simplify44.0ms

prune71.0ms

regimes62.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample256.0ms

Profiling