Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

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)))

rewrite46.0ms

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:

43.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify112.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (23.0ms)

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

prune103.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

127×	`*-un-lft-identity`
64×	`times-frac`
59×	`add-sqr-sqrt`
41×	`distribute-lft-out--`
27×	`add-cube-cbrt`
14×	`distribute-lft-out` `difference-of-squares`
12×	`associate-/r*`
8×	`associate-/r/`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`div-inv`
3×	`pow1` `distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `sub-div`

Counts

3 → 116

Calls

3 calls:

211.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
30.0ms	(/ y (- 2.0 (+ x y)))
32.0ms	(/ x (- 2.0 (+ x y)))

series138.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
42.0ms	(/ y (- 2.0 (+ x y)))
40.0ms	(/ x (- 2.0 (+ x y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	377	899
1	1162	864
2	5001	858

prune225.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite46.0ms

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:

41.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify112.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (23.0ms)

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

prune100.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (/ x (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
0.0b	(/ y (- 2.0 (+ x y)))
8.1b	(* (/ x (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
13.6b	(/ x (- (* 2.0 2.0) (* (+ x y) (+ x y))))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
43×	`times-frac`
33×	`add-cube-cbrt`
18×	`associate-l`
13×	`add-exp-log` `add-cbrt-cube`
11×	`difference-of-squares`
10×	`associate-/r*`
8×	`distribute-lft-out--`
7×	`associate-/r/` `distribute-lft-out`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`associate-r/` `associate-r*` `frac-sub` `flip--` `flip-+`
4×	`frac-times` `flip3--` `flip3-+`
3×	`cbrt-undiv` `div-exp` `div-inv`
2×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-*l/` `prod-exp` `associate--l+` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `distribute-rgt-out--` `diff-log` `pow-prod-down` `*-commutative` `sub-div`

Counts

4 → 140

Calls

4 calls:

62.0ms	(- (* (/ x (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
30.0ms	(/ y (- 2.0 (+ x y)))
93.0ms	(* (/ x (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
14.0ms	(/ x (- (* 2.0 2.0) (* (+ x y) (+ x y))))

series322.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(- (* (/ x (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
39.0ms	(/ y (- 2.0 (+ x y)))
75.0ms	(* (/ x (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
67.0ms	(/ x (- (* 2.0 2.0) (* (+ x y) (+ x y))))

simplify100.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	762	1605
1	3511	1478
2	5001	1476

prune357.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes49.0ms

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

sample338.0ms

Algorithm

intervals

Results

170.0ms	7997×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid