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
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
64%	31.2%	4.8%	8
70.2%	21.9%	7.9%	9
75.7%	15.2%	9.1%	10
78.8%	10.5%	10.6%	11
81.6%	7.5%	10.9%	12
83.1%	5.2%	11.7%	13
84.5%	3.7%	11.8%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	10
1	45	10

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

6.0ms	(+ (+ (* x y) x) y)
4.0ms	(+ (* x y) x)

series9.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (+ (* x y) x) y)
5.0ms	(+ (* x y) x)

simplify71.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4980	394
1	4980	394

prune27.0ms

Filtered

23 candidates to 31 candidates (-34.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Merged error: 0.0b

Counts

32 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (* y y)) x)
3.8b	(* x (- (* x (* y y)) x))
8.3b	(* x (* y y))
32.4b	(/ (* x (- (* x (* y y)) x)) (- (* x y) x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt`
11×	`pow1`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`flip3--` `associate-r/` `associate-r*` `pow-prod-down` `flip--`
3×	`sub-neg` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `diff-log` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 77

Calls

4 calls:

6.0ms	(- (* x (* y y)) x)
9.0ms	(* x (- (* x (* y y)) x))
5.0ms	(* x (* y y))
13.0ms	(/ (* x (- (* x (* y y)) x)) (- (* x y) x))

series52.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* x (* y y)) x)
14.0ms	(* x (- (* x (* y y)) x))
7.0ms	(* x (* y y))
21.0ms	(/ (* x (- (* x (* y y)) x)) (- (* x y) x))

simplify59.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5896	1319

prune70.0ms

Filtered

60 candidates to 89 candidates (-48.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	88	3	91

Merged error: 0b

Counts

91 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) x)
0.0b	(- (* x (* y y)) x)
8.3b	(* x (* y y))
11.8b	(/ (- (* x (* y y)) x) (- (* x y) x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `times-frac`
8×	`add-log-exp`
4×	`flip3--` `flip--`
3×	`associate-l` `pow-prod-down` `prod-exp` `associate-/r` `cbrt-unprod` `associate-/l`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `associate-r` `clear-num` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

4.0ms	(- (* x y) x)
6.0ms	(- (* x (* y y)) x)
5.0ms	(* x (* y y))
11.0ms	(/ (- (* x (* y y)) x) (- (* x y) x))

series40.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* x y) x)
10.0ms	(- (* x (* y y)) x)
9.0ms	(* x (* y y))
17.0ms	(/ (- (* x (* y y)) x) (- (* x y) x))

simplify67.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5282	1419

prune73.0ms

Filtered

62 candidates to 85 candidates (-37.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	85	3	88

Merged error: 0b

Counts

88 → 3

regimes96.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms

sample277.0ms

Algorithm

intervals

Results

159.0ms	7998×	body	80	valid
1.0ms	76×	body	80	invalid
0.0ms	2×	body	640	valid

Details

analyze64.0ms

sample12.0ms

simplify8.0ms

prune7.0ms

localize4.0ms

rewrite11.0ms

series9.0ms

simplify71.0ms

prune27.0ms

localize11.0ms

rewrite35.0ms

series52.0ms

simplify59.0ms

prune70.0ms

localize10.0ms

rewrite28.0ms

series40.0ms

simplify67.0ms

prune73.0ms

regimes96.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample277.0ms

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