Details

sample17.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	4
1	28	4
2	43	4
3	56	4
4	72	4
5	133	4
6	214	4
7	265	4
8	297	4
9	297	4

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (- 2.0 (+ x y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
30×	`times-frac`
19×	`distribute-lft-out--`
14×	`add-cube-cbrt`
13×	`difference-of-squares`
6×	`associate-/r*` `distribute-lft-out`
5×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 58

Calls

1 calls:

22.0ms

(/ (- x y) (- 2.0 (+ x y)))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(/ (- x y) (- 2.0 (+ x y)))

simplify120.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	275	489
1	853	468
2	4118	466
3	5002	466

prune103.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 2.0 (+ x y)) (- x y))
0.1b	(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

292×	`*-un-lft-identity`
258×	`times-frac`
214×	`add-sqr-sqrt`
100×	`add-cube-cbrt`
83×	`distribute-lft-out--`
57×	`difference-of-squares`
41×	`associate-/r*`
26×	`distribute-lft-out`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube` `associate-/l*`
8×	`div-exp`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

2 → 226

Calls

2 calls:

24.0ms	(/ (- 2.0 (+ x y)) (- x y))
28.0ms	(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(/ (- 2.0 (+ x y)) (- x y))
50.0ms	(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	645	2314
1	3102	2113
2	5001	1926

prune237.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
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 → 101

Calls

4 calls:

23.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
2.0ms	(cbrt (- x y))
2.0ms	(cbrt (- x y))
2.0ms	(cbrt (- x y))

series565.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
150.0ms	(cbrt (- x y))
151.0ms	(cbrt (- x y))
142.0ms	(cbrt (- x y))

simplify155.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (147.0ms)

Iter	Nodes	Cost
0	261	760
1	912	723
2	4506	670
3	5001	660

prune263.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
28.8b	(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
41×	`times-frac`
30×	`associate-l`
29×	`add-cube-cbrt`
20×	`difference-of-squares`
12×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-r` `distribute-lft-out` `distribute-lft-out--`
8×	`flip3-+` `flip-+`
6×	`frac-times` `swap-sqr`
5×	`associate-/l*`
4×	`associate-r/` `associate-/r` `associate-/r/`
3×	`flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `associate-/l/`
1×	`pow2` `frac-2neg` `pow-plus` `div-sub` `clear-num` `pow-sqr` `pow-prod-up`

Counts

3 → 139

Calls

3 calls:

16.0ms	(* (+ x y) (+ x y))
50.0ms	(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
15.0ms	(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

series177.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* (+ x y) (+ x y))
88.0ms	(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
70.0ms	(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

simplify115.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	806	1462
1	4213	1347
2	5001	1343

prune273.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes52.0ms

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	4
1	8	4

end0.0ms

sample466.0ms

Algorithm

intervals

Results

337.0ms	7998×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid