Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

294×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	8	2
2	8	2

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

7.0ms

(- (* x y) x)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(- (* x y) x)

simplify187.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	60	59
1	169	52
2	519	51
3	1340	51
4	4984	51
5	5001	51

prune21.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) x)
0.1b	(* y (* x y))
1.7b	(* x (- (* y (* x y)) x))
25.7b	(/ (* x (- (* y (* x y)) x)) (+ (* x y) x))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-r/` `associate-r*` `pow-prod-down`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `div-exp` `associate-/r/` `*-commutative` `flip--` `flip-+` `associate-/l/`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

7.0ms	(+ (* x y) x)
15.0ms	(* y (* x y))
59.0ms	(* x (- (* y (* x y)) x))
45.0ms	(/ (* x (- (* y (* x y)) x)) (+ (* x y) x))

series224.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* x y) x)
20.0ms	(* y (* x y))
69.0ms	(* x (- (* y (* x y)) x))
109.0ms	(/ (* x (- (* y (* x y)) x)) (+ (* x y) x))

simplify55.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	331	544
1	1728	466
2	5002	457

prune142.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (/ (- (* y (* x y)) x) (+ (* x y) x)))
0.0b	(+ (* x y) x)
0.1b	(* y (* x y))
7.8b	(/ (- (* y (* x y)) x) (+ (* x y) x))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
16×	`add-exp-log` `associate-r` `add-cbrt-cube`
11×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `associate-/r/`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`cbrt-undiv` `div-exp` `*-commutative` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `div-sub` `associate-*r/` `clear-num` `sum-log` `flip--`

Counts

4 → 95

Calls

4 calls:

63.0ms	(* x (/ (- (* y (* x y)) x) (+ (* x y) x)))
7.0ms	(+ (* x y) x)
15.0ms	(* y (* x y))
48.0ms	(/ (- (* y (* x y)) x) (+ (* x y) x))

series178.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* x (/ (- (* y (* x y)) x) (+ (* x y) x)))
25.0ms	(+ (* x y) x)
18.0ms	(* y (* x y))
29.0ms	(/ (- (* y (* x y)) x) (+ (* x y) x))

simplify52.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	368	812
1	1832	724
2	5002	714

prune175.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (- y 1))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`associate-r`
6×	`*-un-lft-identity`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `difference-of-squares`
1×	`flip3--` `difference-of-sqr-1` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `unswap-sqr`

Counts

1 → 28

Calls

1 calls:

19.0ms

(* x (- y 1))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* x (- y 1))

simplify39.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	119	98
1	467	87
2	1595	87
3	5001	87

prune33.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

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	2
1	8	2

end0.0ms

sample297.0ms

Algorithm

intervals

Results

117.0ms

9115×

body

valid