Details

sample17.0ms

Algorithm

intervals

Results

10.0ms

282×

body

valid

simplify113.0ms

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)

rewrite16.0ms

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:

13.0ms	(+ (+ (* x y) x) y)
3.0ms	(+ (* x y) x)

series48.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (+ (* x y) x) y)
34.0ms	(+ (* x y) x)

simplify50.0ms

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))
1.9b	(* x (- (* y (* x y)) x))
28.4b	(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

rewrite72.0ms

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:

29.0ms	(+ (/ (* x (- (* y (* x y)) x)) (- (* x y) x)) y)
5.0ms	(* y (* x y))
21.0ms	(* x (- (* y (* x y)) x))
14.0ms	(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

series279.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ (/ (* x (- (* y (* x y)) x)) (- (* x y) x)) y)
16.0ms	(* y (* x y))
81.0ms	(* x (- (* y (* x y)) x))
125.0ms	(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

simplify57.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (49.0ms)

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

prune169.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (* x y) x))
0.6b	(cbrt (- (* x y) x))
2.5b	(/ (- (* y (* x y)) x) (cbrt (- (* x y) x)))
7.6b	(* (/ x (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))) (/ (- (* y (* x y)) x) (cbrt (- (* x y) x))))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
46×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
29×	`cbrt-prod`
27×	`add-exp-log`
24×	`associate-r`
20×	`cbrt-div`
19×	`add-cbrt-cube`
15×	`associate-l`
12×	`associate-/r/`
11×	`flip3--` `flip--`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
6×	`pow1` `associate-/r*` `unswap-sqr`
5×	`frac-times`
4×	`add-log-exp`
3×	`associate-r/` `associate-l/` `div-inv` `associate-/l*`
2×	`pow1/3` `associate-/l/`
1×	`frac-2neg` `div-sub` `pow-prod-down` `clear-num` `*-commutative`

Counts

4 → 139

Calls

4 calls:

2.0ms	(cbrt (- (* x y) x))
2.0ms	(cbrt (- (* x y) x))
21.0ms	(/ (- (* y (* x y)) x) (cbrt (- (* x y) x)))
77.0ms	(* (/ x (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))) (/ (- (* y (* x y)) x) (cbrt (- (* x y) x))))

series330.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(cbrt (- (* x y) x))
71.0ms	(cbrt (- (* x y) x))
68.0ms	(/ (- (* y (* x y)) x) (cbrt (- (* x y) x)))
124.0ms	(* (/ x (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))) (/ (- (* y (* x y)) x) (cbrt (- (* x y) x))))

simplify92.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	791	2407
1	3428	2173
2	5002	2081

prune448.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

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

sample474.0ms

Algorithm

intervals

Results

330.0ms	9146×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid