Details

sample11.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:

11.0ms

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

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(/ (+ 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

prune76.0ms

Filtered

48 candidates to 32 candidates (66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

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` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `associate-/l*` `add-log-exp`
3×	`log-prod` `flip3--` `flip--` `div-inv`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

3 → 117

Calls

3 calls:

18.0ms	(exp (/ (+ x y) (- x y)))
11.0ms	(/ (+ x y) (- x y))
22.0ms	(log (exp (/ (+ x y) (- x y))))

series200.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(exp (/ (+ x y) (- x y)))
62.0ms	(/ (+ x y) (- x y))
63.0ms	(log (exp (/ (+ x y) (- x y))))

simplify49.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	235	660
1	607	623
2	1640	614
3	5001	611

prune253.0ms

Filtered

126 candidates to 84 candidates (66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ 1 (/ (- x y) (+ x y))))
0.0b	(log (exp (/ 1 (/ (- x y) (+ x y)))))
0.0b	(/ 1 (/ (- x y) (+ x y)))
0.0b	(/ (- x y) (+ x y))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

454×	`times-frac`
399×	`*-un-lft-identity`
287×	`add-sqr-sqrt`
197×	`add-cube-cbrt`
166×	`exp-prod`
84×	`log-pow`
56×	`distribute-lft-out`
45×	`distribute-lft-out--` `difference-of-squares`
30×	`associate-/r*`
25×	`associate-/r/`
17×	`add-exp-log`
14×	`div-inv`
11×	`flip3-+` `add-cbrt-cube` `flip-+`
8×	`div-exp` `associate-/l*`
6×	`pow1`
5×	`add-log-exp`
4×	`cbrt-undiv`
3×	`log-prod`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`flip3--` `pow-flip` `div-sub` `rem-log-exp` `flip--` `rem-exp-log` `inv-pow`

Counts

4 → 360

Calls

4 calls:

37.0ms	(exp (/ 1 (/ (- x y) (+ x y))))
37.0ms	(log (exp (/ 1 (/ (- x y) (+ x y)))))
13.0ms	(/ 1 (/ (- x y) (+ x y)))
13.0ms	(/ (- x y) (+ x y))

series270.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(exp (/ 1 (/ (- x y) (+ x y))))
64.0ms	(log (exp (/ 1 (/ (- x y) (+ x y)))))
64.0ms	(/ 1 (/ (- x y) (+ x y)))
67.0ms	(/ (- x y) (+ x y))

simplify69.0ms

Algorithm

egg-herbie

Counts

372 → 372

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	626	2728
1	2474	2425
2	5002	2101

prune655.0ms

Filtered

372 candidates to 209 candidates (56.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt (exp (/ 1 (/ (- x y) (+ x y))))))
0.0b	(log (sqrt (exp (/ 1 (/ (- x y) (+ x y))))))
0.0b	(/ (- x y) (+ x y))
0.0b	(/ (- x y) (+ x y))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

316×	`times-frac`
296×	`*-un-lft-identity`
212×	`add-sqr-sqrt`
172×	`log-pow`
168×	`sqrt-pow1`
166×	`exp-prod`
144×	`add-cube-cbrt`
42×	`distribute-lft-out`
34×	`distribute-lft-out--` `difference-of-squares`
18×	`associate-/r/`
12×	`log-prod`
10×	`add-exp-log` `div-inv` `associate-/l*`
8×	`pow1` `flip3-+` `associate-/r*` `add-cbrt-cube` `flip-+`
6×	`sqrt-prod`
4×	`associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `pow1/2` `div-sub` `div-exp` `rem-log-exp` `clear-num` `flip--`

Counts

4 → 292

Calls

4 calls:

40.0ms	(log (sqrt (exp (/ 1 (/ (- x y) (+ x y))))))
42.0ms	(log (sqrt (exp (/ 1 (/ (- x y) (+ x y))))))
10.0ms	(/ (- x y) (+ x y))
10.0ms	(/ (- x y) (+ x y))

series425.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(log (sqrt (exp (/ 1 (/ (- x y) (+ x y))))))
144.0ms	(log (sqrt (exp (/ 1 (/ (- x y) (+ x y))))))
64.0ms	(/ (- x y) (+ x y))
60.0ms	(/ (- x y) (+ x y))

simplify55.0ms

Algorithm

egg-herbie

Counts

304 → 304

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	493	1964
1	1633	1802
2	5002	1616

prune910.0ms

Filtered

304 candidates to 202 candidates (66.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes59.0ms

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

sample255.0ms

Algorithm

intervals

Results

140.0ms

8000×

body

valid