Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	9
1	36	9
2	68	9
3	117	9
4	174	9
5	195	9
6	197	9
7	197	9

prune2.0ms

Filtered

1 candidates to 0 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: 30.9b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
3.0b	(- (* x x) (* (* y 4.0) y))
30.2b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 55

Calls

3 calls:

4.0ms	(+ (* x x) (* (* y 4.0) y))
3.0ms	(- (* x x) (* (* y 4.0) y))
8.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series135.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* x x) (* (* y 4.0) y))
41.0ms	(- (* x x) (* (* y 4.0) y))
60.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify35.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	234	680
1	1007	622
2	5001	620

prune116.0ms

Filtered

64 candidates to 49 candidates (76.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	5	65

Merged error: 0.2b

Counts

65 → 5

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	1	1
Total	5	5

Merged error: 0.2b

Counts

5 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

3.0b	(- (* x x) (* (* y 4.0) y))
30.2b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
30.2b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
30.2b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
6×	`associate-/r/` `associate-/l/` `add-log-exp`
4×	`pow1` `flip3--` `flip--`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`sub-neg` `diff-log`

Counts

4 → 108

Calls

4 calls:

6.0ms	(- (* x x) (* (* y 4.0) y))
8.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
9.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
8.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* x x) (* (* y 4.0) y))
58.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
59.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
57.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify184.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	221	1543
1	964	1419
2	4814	1416
3	5001	1416

prune340.0ms

Filtered

120 candidates to 97 candidates (80.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	120	5	125

Merged error: 0.2b

Counts

125 → 5

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	3	3
Total	5	5

Merged error: 0.2b

Counts

5 → 5

regimes150.0ms

Accuracy

61.1% (12.1b remaining)

Error of 12.5b against oracle of 0.3b and baseline of 31.5b

bsearch123.0ms

Steps

Iters	Range		Point
10	3.2351134818706724e+46	9.517445069538902e+62	9.297535170302716e+62
8	3.080416340805835e-133	1.413974522623055e-130	2.1784374534418983e-131
8	-1.8650228634739456e-109	-1.6807914009172347e-112	-6.324179611057156e-110
5	-2.1804788916246727e+94	-8.504827414387646e+93	-2.1469124341159173e+94

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	41
1	32	41

end0.0ms

sample420.0ms

Algorithm

intervals

Results

271.0ms

8000×

body

valid

Details

sample15.0ms

simplify17.0ms

prune2.0ms

localize8.0ms

rewrite16.0ms

series135.0ms

simplify35.0ms

prune116.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune5.0ms

localize12.0ms

rewrite33.0ms

series213.0ms

simplify184.0ms

prune340.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes150.0ms

bsearch123.0ms

simplify3.0ms

end0.0ms

sample420.0ms

Profiling