Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	16	3

prune1.0ms

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-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 46

Calls

1 calls:

7.0ms

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

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

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

simplify63.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	187	290
1	526	276
2	1771	276
3	5002	273

prune63.0ms

Filtered

49 candidates to 33 candidates (67.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	2	50

Merged error: 0b

Counts

50 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
60×	`times-frac`
52×	`exp-prod`
35×	`add-cube-cbrt`
27×	`log-pow`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`pow1` `associate-/r*` `add-log-exp`
3×	`log-prod` `flip3-+` `div-sub` `flip-+` `div-inv`
2×	`exp-diff` `associate-/l/`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `flip--` `rem-exp-log`

Counts

3 → 120

Calls

3 calls:

8.0ms	(exp (/ (- x y) (+ x y)))
10.0ms	(log (exp (/ (- x y) (+ x y))))
7.0ms	(/ (- x y) (+ x y))

series206.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(exp (/ (- x y) (+ x y)))
66.0ms	(log (exp (/ (- x y) (+ x y))))
65.0ms	(/ (- x y) (+ x y))

simplify52.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	257	670
1	645	633
2	2051	629
3	5001	623

prune194.0ms

Filtered

129 candidates to 88 candidates (68.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	129	2	131

Merged error: 0b

Counts

131 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

570×	`*-un-lft-identity`
462×	`times-frac`
386×	`add-sqr-sqrt`
268×	`sqrt-prod`
152×	`distribute-lft-out`
146×	`add-cube-cbrt`
120×	`difference-of-squares`
60×	`distribute-lft-out--`
51×	`associate-/r*`
15×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
8×	`flip3--` `flip--` `div-inv` `add-log-exp`
4×	`pow1` `cbrt-undiv` `div-exp` `associate-/l/`
3×	`flip3-+` `flip-+`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 370

Calls

4 calls:

5.0ms	(+ (sqrt x) (sqrt y))
28.0ms	(/ (+ (sqrt x) (sqrt y)) (/ (+ x y) (- (sqrt x) (sqrt y))))
6.0ms	(- (sqrt x) (sqrt y))
10.0ms	(/ (+ x y) (- (sqrt x) (sqrt y)))

series529.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (sqrt x) (sqrt y))
240.0ms	(/ (+ (sqrt x) (sqrt y)) (/ (+ x y) (- (sqrt x) (sqrt y))))
55.0ms	(- (sqrt x) (sqrt y))
191.0ms	(/ (+ x y) (- (sqrt x) (sqrt y)))

simplify127.0ms

Algorithm

egg-herbie

Counts

382 → 382

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	752	5878
1	3808	5285
2	5002	5249

prune361.0ms

Filtered

382 candidates to 144 candidates (37.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	382	0	382
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	382	2	384

Merged error: 0b

Counts

384 → 2

regimes34.0ms

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	8	5
1	8	5

end0.0ms

sample401.0ms

Algorithm

intervals

Results

236.0ms

8000×

body

valid