Details

analyze278.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

sample16.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	23×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	120	7
1	120	7

prune3.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ z 1.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

10.0ms

(* (+ x y) (+ z 1.0))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (+ x y) (+ z 1.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5082	368

prune53.0ms

Filtered

24 candidates to 33 candidates (-37.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Merged error: 0b

Counts

34 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (+ x y) z) (* (+ x y) 1.0))
0.0b	(* (+ x y) z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*l/`
6×	`add-sqr-sqrt` `*-un-lft-identity` `flip3-+` `flip-+`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `frac-add` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

7.0ms	(+ (* (+ x y) z) (* (+ x y) 1.0))
5.0ms	(* (+ x y) z)

series15.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* (+ x y) z) (* (+ x y) 1.0))
6.0ms	(* (+ x y) z)

simplify50.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4908	461
1	4908	461

prune51.0ms

Filtered

31 candidates to 43 candidates (-38.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	43	3	46

Merged error: 0b

Counts

46 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ z 1.0))
0.0b	(sqrt (* (+ x y) (+ z 1.0)))
0.0b	(sqrt (* (+ x y) (+ z 1.0)))
0.2b	(* (sqrt (* (+ x y) (+ z 1.0))) (sqrt (* (+ x y) (+ z 1.0))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

160×	`sqrt-div`
148×	`frac-times`
126×	`flip3-+` `flip-+`
61×	`pow1`
50×	`associate-r/` `associate-l/`
32×	`sqrt-pow1`
23×	`pow-prod-down`
14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`sqrt-prod` `pow-sqr`
4×	`swap-sqr` `add-log-exp`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 197

Calls

4 calls:

8.0ms	(* (+ x y) (+ z 1.0))
8.0ms	(sqrt (* (+ x y) (+ z 1.0)))
6.0ms	(sqrt (* (+ x y) (+ z 1.0)))
18.0ms	(* (sqrt (* (+ x y) (+ z 1.0))) (sqrt (* (+ x y) (+ z 1.0))))

series94.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (+ x y) (+ z 1.0))
23.0ms	(sqrt (* (+ x y) (+ z 1.0)))
27.0ms	(sqrt (* (+ x y) (+ z 1.0)))
37.0ms	(* (sqrt (* (+ x y) (+ z 1.0))) (sqrt (* (+ x y) (+ z 1.0))))

simplify79.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4968	4839
1	4968	4839

prune321.0ms

Filtered

130 candidates to 209 candidates (-60.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	209	3	212

Merged error: 0b

Counts

212 → 3

regimes263.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	30	7

end0.0ms

sample384.0ms

Algorithm

intervals

Results

193.0ms	7995×	body	80	valid
14.0ms	615×	body	80	invalid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid

Details

analyze278.0ms

sample16.0ms

simplify5.0ms

prune3.0ms

localize5.0ms

rewrite11.0ms

series7.0ms

simplify44.0ms

prune53.0ms

localize6.0ms

rewrite14.0ms

series15.0ms

simplify50.0ms

prune51.0ms

localize7.0ms

rewrite52.0ms

series94.0ms

simplify79.0ms

prune321.0ms

regimes263.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample384.0ms

Profiling