Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

329×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	18	3

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: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) (* z t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
4×	`associate-l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 20

Calls

1 calls:

13.0ms

(- (* x y) (* z t))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(- (* x y) (* z t))

simplify84.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	119	138
1	323	131
2	933	131
3	2174	131
4	5002	131

prune50.0ms

Filtered

23 candidates to 17 candidates (73.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Merged error: 0.0b

Counts

24 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))
1.4b	(- (pow (* x y) 3) (pow (* z t) 3))
2.7b	(* (* z t) (+ (* z t) (* x y)))
36.6b	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))

rewrite388.0ms

Algorithm

rewrite-expression-head

Rules

1738×	`*-un-lft-identity`
1359×	`associate-l`
1265×	`add-sqr-sqrt`
720×	`times-frac`
562×	`distribute-lft-out`
560×	`unpow-prod-down` `cube-prod`
504×	`difference-of-squares`
340×	`unswap-sqr`
238×	`distribute-lft-out--`
168×	`sqr-pow`
82×	`add-cube-cbrt`
60×	`associate-/l*`
56×	`difference-cubes` `pow-unpow`
12×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
9×	`pow1`
8×	`add-log-exp`
5×	`+-commutative`
4×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
3×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`flip3--` `associate-r/` `associate-/r/` `-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 943

Calls

4 calls:

70.0ms	(+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))
47.0ms	(- (pow (* x y) 3) (pow (* z t) 3))
20.0ms	(* (* z t) (+ (* z t) (* x y)))
140.0ms	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))

series482.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))
203.0ms	(- (pow (* x y) 3) (pow (* z t) 3))
53.0ms	(* (* z t) (+ (* z t) (* x y)))
139.0ms	(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))

simplify343.0ms

Algorithm

egg-herbie

Counts

955 → 955

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	987	20399
1	4955	19625
2	5001	19625

prune734.0ms

Filtered

955 candidates to 173 candidates (18.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	954	1	955
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	955	2	957

Merged error: 0.0b

Counts

957 → 2

localize28.0ms

Local error

Found 4 expressions with local error:

24.5b	(cbrt (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))
34.5b	(cbrt (- (pow (* x y) 3) (pow (* z t) 3)))
34.5b	(cbrt (- (pow (* x y) 3) (pow (* z t) 3)))
34.5b	(cbrt (- (pow (* x y) 3) (pow (* z t) 3)))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

260×	`add-sqr-sqrt`
192×	`cbrt-prod`
140×	`*-un-lft-identity`
120×	`unpow-prod-down` `cube-prod`
108×	`difference-of-squares`
72×	`unswap-sqr`
66×	`associate-l`
51×	`distribute-lft-out--`
36×	`sqr-pow`
12×	`difference-cubes` `pow-unpow`
9×	`distribute-lft-out`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--`
1×	`flip3-+` `flip-+`

Counts

4 → 232

Calls

4 calls:

69.0ms	(cbrt (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))
48.0ms	(cbrt (- (pow (* x y) 3) (pow (* z t) 3)))
45.0ms	(cbrt (- (pow (* x y) 3) (pow (* z t) 3)))
49.0ms	(cbrt (- (pow (* x y) 3) (pow (* z t) 3)))

series457.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))
102.0ms	(cbrt (- (pow (* x y) 3) (pow (* z t) 3)))
102.0ms	(cbrt (- (pow (* x y) 3) (pow (* z t) 3)))
104.0ms	(cbrt (- (pow (* x y) 3) (pow (* z t) 3)))

simplify105.0ms

Algorithm

egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	571	3191
1	1959	3123
2	5001	2943

prune516.0ms

Filtered

244 candidates to 87 candidates (35.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	244	2	246

Merged error: 0.0b

Counts

246 → 2

regimes121.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample486.0ms

Algorithm

intervals

Results

235.0ms

10283×

body

valid