Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	240×	body	80	valid
1.0ms	6×	body	640	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	2560	valid
0.0ms	4×	body	160	valid
0.0ms	1×	body	320	valid

simplify332.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	64	4
2	203	4
3	327	4
4	339	4
5	345	4
6	413	4
7	516	4
8	561	4
9	700	4
10	909	4
11	1271	4
12	3907	4
13	5001	4

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 2 (+ x y)) (+ x z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `frac-add`
3×	`sum-log`
2×	`associate-+l+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube`

Counts

1 → 19

Calls

1 calls:

9.0ms

(+ (* 2 (+ x y)) (+ x z))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(+ (* 2 (+ x y)) (+ x z))

simplify40.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	275	199
1	1174	190
2	5001	185

prune102.0ms

Filtered

22 candidates to 17 candidates (77.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	17	5	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	6	23

Merged error: 0.0b

Counts

23 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 2 (+ x y)) x)
0.0b	(+ (+ (* 2 (+ x y)) x) z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
3×	`associate-+l+`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

6.0ms	(+ (* 2 (+ x y)) x)
9.0ms	(+ (+ (* 2 (+ x y)) x) z)

series62.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* 2 (+ x y)) x)
24.0ms	(+ (+ (* 2 (+ x y)) x) z)

simplify81.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	165	183
1	588	174
2	2960	170
3	5001	170

prune108.0ms

Filtered

33 candidates to 22 candidates (66.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	35	4	39

Merged error: 0.0b

Counts

39 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2 (+ x y)) x)
0.0b	(+ (/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)) (- (* 2 (+ x y)) x)) z)
11.9b	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
27.8b	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)) (- (* 2 (+ x y)) x))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
10×	`add-log-exp`
6×	`add-exp-log` `associate--l+` `add-cbrt-cube`
5×	`distribute-rgt-in` `distribute-lft-in` `difference-of-squares`
4×	`pow1` `flip3--` `flip--` `associate-/l*`
3×	`associate-/r*`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 80

Calls

4 calls:

6.0ms	(- (* 2 (+ x y)) x)
21.0ms	(+ (/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)) (- (* 2 (+ x y)) x)) z)
16.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
20.0ms	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)) (- (* 2 (+ x y)) x))

series234.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (* 2 (+ x y)) x)
81.0ms	(+ (/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)) (- (* 2 (+ x y)) x)) z)
31.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
96.0ms	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)) (- (* 2 (+ x y)) x))

simplify66.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	396	1106
1	1722	960
2	5002	920

prune388.0ms

Filtered

92 candidates to 75 candidates (81.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	88	4	92
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	90	6	96

Merged error: 0.0b

Counts

96 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

11.9b	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
11.9b	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
27.8b	(sqrt (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)))
27.8b	(sqrt (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

8×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in` `associate--l+` `sqrt-prod` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--` `difference-of-squares`
2×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 66

Calls

4 calls:

12.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
15.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
12.0ms	(sqrt (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)))
13.0ms	(sqrt (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)))

series620.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
32.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
281.0ms	(sqrt (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)))
276.0ms	(sqrt (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	189	804
1	731	736
2	5001	720

prune373.0ms

Filtered

78 candidates to 66 candidates (84.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	78	6	84

Merged error: 0.0b

Counts

84 → 6

regimes200.0ms

Accuracy

0% (0.0b 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	12	4
1	12	4

end0.0ms

sample545.0ms

Algorithm

intervals

Results

207.0ms	7415×	body	80	valid
23.0ms	184×	body	1280	valid
17.0ms	171×	body	640	valid
9.0ms	124×	body	320	valid
8.0ms	35×	body	2560	valid
4.0ms	82×	body	160	valid

Details

sample22.0ms

simplify332.0ms

prune9.0ms

localize7.0ms

rewrite10.0ms

series30.0ms

simplify40.0ms

prune102.0ms

localize7.0ms

rewrite16.0ms

series62.0ms

simplify81.0ms

prune108.0ms

localize12.0ms

rewrite65.0ms

series234.0ms

simplify66.0ms

prune388.0ms

localize15.0ms

rewrite55.0ms

series620.0ms

simplify47.0ms

prune373.0ms

regimes200.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample545.0ms

Profiling