Details

analyze64.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

sample13.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify275.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	13	7
1	23	6
2	35	4
3	45	4
4	54	4
5	87	4
6	156	4
7	206	4
8	219	4
9	314	4
10	644	4
11	3183	4
12	5001	4

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 3 (* y y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `*-un-lft-identity`
1×	`associate-r` `*-commutative` `add-log-exp` `unswap-sqr`

Counts

1 → 19

Calls

1 calls:

5.0ms

(* 3 (* y y))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* 3 (* y y))

simplify193.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	86	75
1	288	60
2	1042	57
3	4457	57
4	5002	57

prune30.0ms

Filtered

12 candidates to 22 candidates (-83.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	19	3	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	4	23

Merged error: 0.0b

Counts

23 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* 3 y) y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (* 3 y) y)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (* 3 y) y)

simplify57.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	95	68
1	465	57
2	2244	54
3	5001	53

prune22.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	21	4	25

Merged error: 0.0b

Counts

25 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3 (* y y))
0.3b	(* (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))))
20.3b	(sqrt (* 3 (* y y)))
20.3b	(sqrt (* 3 (* y y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
12×	`add-sqr-sqrt`
11×	`add-exp-log` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`sqrt-prod`
5×	`associate-r`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 109

Calls

4 calls:

5.0ms	(* 3 (* y y))
12.0ms	(* (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))))
4.0ms	(sqrt (* 3 (* y y)))
4.0ms	(sqrt (* 3 (* y y)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3 (* y y))
7.0ms	(* (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))))
4.0ms	(sqrt (* 3 (* y y)))
4.0ms	(sqrt (* 3 (* y y)))

simplify38.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	169	344
1	783	285
2	5001	269

prune104.0ms

Filtered

54 candidates to 121 candidates (-124.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	119	6	125

Merged error: 0b

Counts

125 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt 3) (* (sqrt 3) (* y y)))
0.3b	(* (sqrt 3) (* y y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`associate-l`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
7×	`sqrt-prod`
6×	`add-cube-cbrt` `*-un-lft-identity`
2×	`associate-r` `*-commutative` `add-log-exp` `unswap-sqr`

Counts

2 → 47

Calls

2 calls:

12.0ms	(* (sqrt 3) (* (sqrt 3) (* y y)))
6.0ms	(* (sqrt 3) (* y y))

series11.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* (sqrt 3) (* (sqrt 3) (* y y)))
5.0ms	(* (sqrt 3) (* y y))

simplify75.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	155	254
1	608	202
2	2550	196
3	5001	192

prune55.0ms

Filtered

29 candidates to 53 candidates (-82.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	53	6	59

Merged error: 0b

Counts

59 → 6

regimes226.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

analyze59.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

sample344.0ms

Algorithm

intervals

Results

227.0ms	8000×	body	80	valid
0.0ms	8×	body	80	invalid

Details

analyze64.0ms

sample13.0ms

simplify275.0ms

prune6.0ms

localize5.0ms

rewrite6.0ms

series3.0ms

simplify193.0ms

prune30.0ms

localize5.0ms

rewrite5.0ms

series3.0ms

simplify57.0ms

prune22.0ms

localize7.0ms

rewrite31.0ms

series17.0ms

simplify38.0ms

prune104.0ms

localize8.0ms

rewrite20.0ms

series11.0ms

simplify75.0ms

prune55.0ms

regimes226.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze59.0ms

sample344.0ms

Profiling