Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	9	3
2	9	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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

7.0ms

(/ (+ x y) (- x y))

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(/ (+ x y) (- x y))

simplify44.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	169	288
1	510	274
2	1435	270
3	5001	270

prune70.0ms

Filtered

48 candidates to 32 candidates (66.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	4	49

Merged error: 0b

Counts

49 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))
0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
35×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`pow1/3` `swap-sqr`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `flip3-+` `flip-+` `distribute-lft-out`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

3.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))
5.0ms	(cbrt (- x y))
10.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))

series608.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (- x y))
161.0ms	(cbrt (- x y))
142.0ms	(cbrt (- x y))
155.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))

simplify151.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 3 (143.0ms)

Iter	Nodes	Cost
0	291	731
1	978	694
2	4525	641
3	5001	631

prune240.0ms

Filtered

110 candidates to 78 candidates (70.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	110	4	114

Merged error: 0b

Counts

114 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
10.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))

series584.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (+ x y))
165.0ms	(cbrt (+ x y))
122.0ms	(cbrt (+ x y))
161.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))

simplify137.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (129.0ms)

Iter	Nodes	Cost
0	246	671
1	888	634
2	4196	584
3	5001	580

prune191.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	107	4	111

Merged error: 0b

Counts

111 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt x) (sqrt y))
0.1b	(* (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))))
0.1b	(/ 1 (+ (sqrt x) (sqrt y)))
0.1b	(/ (+ x y) (- (sqrt x) (sqrt y)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

160×	`*-un-lft-identity`
141×	`add-sqr-sqrt`
109×	`times-frac`
70×	`sqrt-prod`
52×	`add-cube-cbrt`
42×	`associate-r`
36×	`difference-of-squares`
35×	`distribute-lft-out`
32×	`add-exp-log`
21×	`associate-l`
20×	`add-cbrt-cube`
18×	`distribute-lft-out--`
14×	`associate-/r*`
11×	`div-exp`
8×	`prod-exp` `associate-/r/`
7×	`pow1` `associate-/l*`
6×	`cbrt-undiv` `add-log-exp` `unswap-sqr`
4×	`flip3-+` `cbrt-unprod` `flip-+` `div-inv`
3×	`rec-exp` `1-exp`
2×	`flip3--` `frac-2neg` `clear-num` `flip--` `associate-/l/`
1×	`+-commutative` `frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `sum-log` `*-commutative` `inv-pow`

Counts

4 → 212

Calls

4 calls:

5.0ms	(+ (sqrt x) (sqrt y))
34.0ms	(* (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))))
7.0ms	(/ 1 (+ (sqrt x) (sqrt y)))
10.0ms	(/ (+ x y) (- (sqrt x) (sqrt y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (sqrt x) (sqrt y))
820.0ms	(* (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))))
67.0ms	(/ 1 (+ (sqrt x) (sqrt y)))
185.0ms	(/ (+ x y) (- (sqrt x) (sqrt y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	667	2275
1	3520	1955
2	5001	1815

prune293.0ms

Filtered

224 candidates to 116 candidates (51.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	224	0	224
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	224	4	228

Merged error: 0b

Counts

228 → 4

regimes48.0ms

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	6	3
1	6	3

end0.0ms

sample292.0ms

Algorithm

intervals

Results

171.0ms

8000×

body

valid