Details

sample0.0hr

Algorithm

intervals

Results

0.0hr

425×

body

valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	6	3
1	6	3

prune0.0hr

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.0b

Counts

2 → 1

localize0.0hr

Local error

Found 1 expressions with local error:

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

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

0.0hr

(+ (* x x) (* y y))

series0.0hr

Counts

1 → 3

Calls

1 calls:

0.0hr

(+ (* x x) (* y y))

simplify0.0hr

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (0.0hr)

Iter	Nodes	Cost
0	101	77
1	465	66
2	1240	66
3	5001	66

prune0.0hr

Filtered

14 candidates to 11 candidates (21.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize0.0hr

Local error

Found 3 expressions with local error:

0.0b	(+ (pow x 2) (pow y 2))
0.2b	(pow (+ (pow x 2) (pow y 2)) 3)
35.5b	(cbrt (pow (+ (pow x 2) (pow y 2)) 3))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
20×	`unpow-prod-down`
16×	`cbrt-prod`
10×	`cube-prod` `distribute-lft-out`
9×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 69

Calls

3 calls:

0.0hr	(+ (pow x 2) (pow y 2))
0.0hr	(pow (+ (pow x 2) (pow y 2)) 3)
0.0hr	(cbrt (pow (+ (pow x 2) (pow y 2)) 3))

series0.0hr

Counts

3 → 9

Calls

3 calls:

0.0hr	(+ (pow x 2) (pow y 2))
0.0hr	(pow (+ (pow x 2) (pow y 2)) 3)
0.0hr	(cbrt (pow (+ (pow x 2) (pow y 2)) 3))

simplify0.0hr

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	223	451
1	1200	423
2	5001	415

prune0.0hr

Filtered

78 candidates to 40 candidates (48.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	78	3	81

Merged error: 0.0b

Counts

81 → 3

localize0.0hr

Local error

Found 4 expressions with local error:

1.2b	(- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))
2.1b	(- (* (* x x) (* y y)) (pow x 4))
7.9b	(* (* x x) (* y y))
41.7b	(/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
35×	`times-frac`
32×	`pow1`
21×	`difference-of-squares`
18×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
14×	`pow-prod-down`
11×	`add-log-exp`
8×	`prod-exp` `sum-cubes` `cbrt-unprod` `distribute-lft-out`
7×	`unpow-prod-down` `associate-/r*` `distribute-lft-out--` `sqr-pow`
5×	`associate-/l*`
4×	`pow-plus` `diff-log` `pow-prod-up`
3×	`sub-neg` `flip3--` `flip--`
2×	`pow2` `associate-/r/` `pow-sqr` `associate-/l/` `associate--r+`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `associate-r` `associate-l` `clear-num` `*-commutative` `flip-+` `div-inv` `associate--r-` `unswap-sqr`

Counts

4 → 124

Calls

4 calls:

0.0hr	(- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))
0.0hr	(- (* (* x x) (* y y)) (pow x 4))
0.0hr	(* (* x x) (* y y))
0.0hr	(/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))
0.0hr	(- (* (* x x) (* y y)) (pow x 4))
0.0hr	(* (* x x) (* y y))
0.0hr	(/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))

simplify0.0hr

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	456	1889
1	2371	1790
2	5001	1762

prune0.0hr

Filtered

136 candidates to 81 candidates (40.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	136	3	139

Merged error: 0.0b

Counts

139 → 3

regimes0.0hr

Accuracy

0% (0.0b remaining)

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

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	6	3
1	6	3

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr

14272×

body

valid

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

Profiling