Details

sample62.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 81.280506%

Space saved by search: 81.280506%

Guaranteed chance to sample good point: 0%

Results

17.0ms	256×	body	80	valid
14.0ms	256×	pre	80	true

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	7
1	48	7
2	104	7
3	196	7
4	359	7
5	686	7
6	1343	7
7	5001	7

prune3.0ms

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: 18.8b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- x y) (+ x y))
0.0b	(+ (* x x) (* y y))
18.6b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3-+` `flip-+` `associate-/l/`
7×	`add-cube-cbrt`
6×	`flip3--` `flip--`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-r/` `associate-r` `associate-l/`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 73

Calls

3 calls:

9.0ms	(* (- x y) (+ x y))
3.0ms	(+ (* x x) (* y y))
12.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series23.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* (- x y) (+ x y))
6.0ms	(+ (* x x) (* y y))
11.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	419	577
1	2448	504
2	5003	497

prune93.0ms

Filtered

62 candidates to 82 candidates (-32.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	4	83

Merged error: 0.3b

Counts

83 → 4

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

prune6.0ms

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: 0.3b

Counts

4 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3)))
0.1b	(* (* (+ (* y (- y x)) (pow x 2)) (+ x y)) (+ (* x x) (* y y)))
0.2b	(* (+ (* y (- y x)) (pow x 2)) (+ x y))
41.8b	(/ (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (* (+ (* y (- y x)) (pow x 2)) (+ x y)) (+ (* x x) (* y y))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

68×	`frac-times`
66×	`flip3-+` `flip-+`
34×	`add-exp-log` `associate-*l/` `add-cbrt-cube`
26×	`associate-/r/`
22×	`associate-*r/`
21×	`*-un-lft-identity`
16×	`associate-r`
14×	`prod-exp` `cbrt-unprod`
13×	`pow1` `add-sqr-sqrt`
9×	`add-cube-cbrt`
8×	`associate-l` `associate-/l/`
6×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `distribute-lft-out`
5×	`pow-prod-down`
4×	`unpow-prod-down` `cube-prod` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `*-commutative`
2×	`unswap-sqr`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `sum-cubes` `div-inv` `associate-/l` `difference-of-squares`

Counts

4 → 169

Calls

4 calls:

17.0ms	(* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3)))
17.0ms	(* (* (+ (* y (- y x)) (pow x 2)) (+ x y)) (+ (* x x) (* y y)))
13.0ms	(* (+ (* y (- y x)) (pow x 2)) (+ x y))
33.0ms	(/ (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (* (+ (* y (- y x)) (pow x 2)) (+ x y)) (+ (* x x) (* y y))))

series77.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3)))
23.0ms	(* (* (+ (* y (- y x)) (pow x 2)) (+ x y)) (+ (* x x) (* y y)))
13.0ms	(* (+ (* y (- y x)) (pow x 2)) (+ x y))
25.0ms	(/ (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (* (+ (* y (- y x)) (pow x 2)) (+ x y)) (+ (* x x) (* y y))))

simplify62.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1264	3121
1	5003	2862

prune447.0ms

Filtered

145 candidates to 181 candidates (-24.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	181	4	185

Merged error: 0.3b

Counts

185 → 4

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

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Merged error: 0.3b

Counts

4 → 4

regimes169.0ms

Accuracy

77.5% (4.4b remaining)

Error of 4.8b against oracle of 0.4b and baseline of 20.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	14
1	16	14

end0.0ms

sample580.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 81.280506%

Space saved by search: 81.280506%

Guaranteed chance to sample good point: 0%

Results

297.0ms	8000×	body	80	valid
147.0ms	8000×	pre	80	true

Details

sample62.0ms

simplify79.0ms

prune3.0ms

localize8.0ms

rewrite26.0ms

series23.0ms

simplify65.0ms

prune93.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune6.0ms

localize23.0ms

rewrite92.0ms

series77.0ms

simplify62.0ms

prune447.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes169.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample580.0ms

Profiling