Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

286×

body

valid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	20	3
2	28	3
3	36	3
4	54	3
5	101	3
6	150	3
7	167	3
8	242	3
9	468	3
10	1547	3
11	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

14.0ms	(+ (+ (* x y) x) y)
3.0ms	(+ (* x y) x)

series45.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (+ (* x y) x) y)
30.0ms	(+ (* x y) x)

simplify52.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	143	138
1	451	129
2	1660	127
3	5001	126

prune47.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* x (- (* y (* x y)) x)) (- (* x y) x)) y)
0.1b	(* y (* x y))
2.9b	(* x (- (* y (* x y)) x))
28.1b	(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

26.0ms	(+ (/ (* x (- (* y (* x y)) x)) (- (* x y) x)) y)
6.0ms	(* y (* x y))
22.0ms	(* x (- (* y (* x y)) x))
15.0ms	(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

series277.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (/ (* x (- (* y (* x y)) x)) (- (* x y) x)) y)
16.0ms	(* y (* x y))
80.0ms	(* x (- (* y (* x y)) x))
126.0ms	(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

simplify56.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	372	641
1	1822	575
2	5001	566

prune158.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y (* x y)) x)
0.0b	(+ (* x (/ (- (* y (* x y)) x) (- (* x y) x))) y)
0.1b	(* y (* x y))
10.0b	(/ (- (* y (* x y)) x) (- (* x y) x))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `times-frac`
8×	`add-log-exp`
3×	`flip3--` `associate-l` `pow-prod-down` `prod-exp` `associate-/r` `flip--` `cbrt-unprod` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `associate-r` `clear-num` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

4 → 73

Calls

4 calls:

6.0ms	(- (* y (* x y)) x)
10.0ms	(+ (* x (/ (- (* y (* x y)) x) (- (* x y) x))) y)
6.0ms	(* y (* x y))
19.0ms	(/ (- (* y (* x y)) x) (- (* x y) x))

series135.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (* y (* x y)) x)
56.0ms	(+ (* x (/ (- (* y (* x y)) x) (- (* x y) x))) y)
17.0ms	(* y (* x y))
34.0ms	(/ (- (* y (* x y)) x) (- (* x y) x))

simplify42.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	339	646
1	1248	596
2	5002	591

prune159.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* y (* x y)) 3)
0.1b	(* y (* x y))
10.0b	(/ (- (cbrt (pow (* y (* x y)) 3)) x) (- (* x y) x))
22.0b	(cbrt (pow (* y (* x y)) 3))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`times-frac`
19×	`add-cube-cbrt`
17×	`add-exp-log` `add-cbrt-cube`
16×	`cbrt-prod`
15×	`pow1`
12×	`difference-of-squares`
7×	`associate-/l*`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
4×	`distribute-lft-out--` `add-log-exp`
3×	`pow-unpow` `pow-pow` `associate-l` `pow-exp` `associate-/r*` `rem-cube-cbrt`
2×	`cube-mult` `unpow-prod-down` `flip3--` `unpow3` `cube-prod` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow1/3` `div-sub` `div-exp` `associate-r` `clear-num` `*-commutative` `rem-cbrt-cube` `div-inv`

Counts

4 → 108

Calls

4 calls:

5.0ms	(pow (* y (* x y)) 3)
6.0ms	(* y (* x y))
29.0ms	(/ (- (cbrt (pow (* y (* x y)) 3)) x) (- (* x y) x))
2.0ms	(cbrt (pow (* y (* x y)) 3))

series140.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(pow (* y (* x y)) 3)
16.0ms	(* y (* x y))
46.0ms	(/ (- (cbrt (pow (* y (* x y)) 3)) x) (- (* x y) x))
27.0ms	(cbrt (pow (* y (* x y)) 3))

simplify57.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	411	944
1	1657	878
2	5001	866

prune253.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

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	3
1	8	3

end0.0ms

sample293.0ms

Algorithm

intervals

Results

153.0ms

9156×

body

valid