Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

257×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	10	2
2	12	2
3	13	2
4	13	2

prune1.0ms

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)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity` `add-log-exp`
3×	`sum-log` `distribute-lft-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

8.0ms

(+ (+ x y) x)

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(+ (+ x y) x)

simplify98.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	82	65
1	241	60
2	854	58
3	4535	53
4	5002	53

prune25.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x y) x)
0.0b	(+ (+ x y) x)
0.3b	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
38×	`sqrt-prod`
30×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`pow1`
16×	`swap-sqr`
13×	`add-log-exp`
12×	`sqrt-div`
11×	`add-cube-cbrt`
8×	`sqrt-pow1` `flip3-+` `pow1/2` `associate-r` `associate-l` `flip-+`
6×	`sum-log`
5×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-+l+` `associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 99

Calls

3 calls:

6.0ms	(+ (+ x y) x)
6.0ms	(+ (+ x y) x)
18.0ms	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

series81.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (+ x y) x)
21.0ms	(+ (+ x y) x)
35.0ms	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

simplify38.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	204	509
1	838	459
2	5001	444

prune131.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
0.6b	(cbrt (+ (+ x y) x))
0.6b	(cbrt (+ (+ x y) x))
0.6b	(cbrt (+ (+ x y) x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`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 → 105

Calls

4 calls:

18.0ms	(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
5.0ms	(cbrt (+ (+ x y) x))
5.0ms	(cbrt (+ (+ x y) x))
5.0ms	(cbrt (+ (+ x y) x))

series827.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
199.0ms	(cbrt (+ (+ x y) x))
195.0ms	(cbrt (+ (+ x y) x))
196.0ms	(cbrt (+ (+ x y) x))

simplify44.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	280	982
1	1048	931
2	5001	832

prune318.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.3b	(- x (+ x y))
1.8b	(+ (* x (- x (+ x y))) (* (+ x y) (+ x y)))
1.8b	(+ (pow (+ x y) 3) (pow x 3))
42.3b	(/ (+ (pow (+ x y) 3) (pow x 3)) (+ (* x (- x (+ x y))) (* (+ x y) (+ x y))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

137×	`*-un-lft-identity`
66×	`distribute-lft-out`
40×	`unpow-prod-down` `cube-prod` `associate-*r/`
39×	`times-frac`
32×	`frac-add`
28×	`flip3-+` `flip-+`
24×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
18×	`associate-/r/`
17×	`flip3--` `flip--`
16×	`frac-times`
13×	`associate-/l*` `add-log-exp`
8×	`associate-*l/`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sum-cubes`
4×	`pow1` `associate-+l+`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-/r*` `sum-log`
2×	`+-commutative` `associate-+r+` `diff-log` `associate-/l/` `distribute-lft-out--`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate--r+` `difference-of-squares`

Counts

4 → 158

Calls

4 calls:

6.0ms	(- x (+ x y))
11.0ms	(+ (* x (- x (+ x y))) (* (+ x y) (+ x y)))
13.0ms	(+ (pow (+ x y) 3) (pow x 3))
30.0ms	(/ (+ (pow (+ x y) 3) (pow x 3)) (+ (* x (- x (+ x y))) (* (+ x y) (+ x y))))

series211.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- x (+ x y))
18.0ms	(+ (* x (- x (+ x y))) (* (+ x y) (+ x y)))
56.0ms	(+ (pow (+ x y) 3) (pow x 3))
123.0ms	(/ (+ (pow (+ x y) 3) (pow x 3)) (+ (* x (- x (+ x y))) (* (+ x y) (+ x y))))

simplify100.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	675	2820
1	3528	2707
2	5002	2696

prune363.0ms

Pruning

5 alts after pruning (1 fresh and 4 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	2
1	6	2

end0.0ms

sample236.0ms

Algorithm

intervals

Results

119.0ms

8006×

body

valid