Details

analyze11.0ms

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
25%	74.9%	0.1%	6
93.7%	6.2%	0.1%	7
96.8%	3.1%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

sample24.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5027	19

prune6.0ms

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: 33.3b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
2.4b	(- (* x x) (* (* y 4.0) y))
32.6b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite18.0ms

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 → 54

Calls

3 calls:

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

series27.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ (* x x) (* (* y 4.0) y))
8.0ms	(- (* x x) (* (* y 4.0) y))
12.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify68.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4943	1204
1	4943	1204

prune98.0ms

Filtered

52 candidates to 63 candidates (-21.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	4	64

Merged error: 0.7b

Counts

64 → 4

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune7.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Merged error: 0.7b

Counts

4 → 4

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune6.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Merged error: 0.7b

Counts

4 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

31.1b	(sqrt (+ (* x x) (* y (* y 4.0))))
32.0b	(cbrt (- (* x x) (* y (* y 4.0))))
32.0b	(cbrt (- (* x x) (* y (* y 4.0))))
32.0b	(cbrt (- (* x x) (* y (* y 4.0))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `pow1/3` `sqrt-prod` `flip--`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`

Counts

4 → 54

Calls

4 calls:

7.0ms	(sqrt (+ (* x x) (* y (* y 4.0))))
8.0ms	(cbrt (- (* x x) (* y (* y 4.0))))
7.0ms	(cbrt (- (* x x) (* y (* y 4.0))))
7.0ms	(cbrt (- (* x x) (* y (* y 4.0))))

series81.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sqrt (+ (* x x) (* y (* y 4.0))))
25.0ms	(cbrt (- (* x x) (* y (* y 4.0))))
24.0ms	(cbrt (- (* x x) (* y (* y 4.0))))
23.0ms	(cbrt (- (* x x) (* y (* y 4.0))))

simplify68.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4909	906
1	4909	906

prune183.0ms

Filtered

54 candidates to 66 candidates (-22.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	66	4	70

Merged error: 0.7b

Counts

70 → 4

regimes286.0ms

Accuracy

60.7% (12.3b remaining)

Error of 12.6b against oracle of 0.3b and baseline of 31.6b

bsearch55.0ms

Steps

Iters	Range		Point
9	3.974497318305399e+81	7.481432506803208e+90	1.4268480644529162e+90
7	6.26725726488056e-86	2.3964664265011327e-84	9.049663672656093e-85
7	-8.88951435654446e-138	-3.3439305898114224e-139	-6.449241694858416e-139
10	-4.005103406245598e+79	-5.276567909069494e+60	-1.8962936310719086e+79

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	57
1	62	57

end0.0ms

sample485.0ms

Algorithm

intervals

Results

361.0ms

8000×

body

valid

Details

analyze11.0ms

sample24.0ms

simplify53.0ms

prune6.0ms

localize8.0ms

rewrite18.0ms

series27.0ms

simplify68.0ms

prune98.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune7.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune6.0ms

localize14.0ms

rewrite30.0ms

series81.0ms

simplify68.0ms

prune183.0ms

regimes286.0ms

bsearch55.0ms

simplify2.0ms

end0.0ms

sample485.0ms

Profiling