Details

sample21.0ms

Algorithm

intervals

Results

13.0ms

291×

body

valid

simplify117.0ms

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

localize5.0ms

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:

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

series45.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (+ (* x y) x) y)
30.0ms	(+ (* x y) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (50.0ms)

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

prune50.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y (* x y)) x)
0.1b	(* y (* x y))
2.5b	(* x (- (* y (* x y)) x))
27.2b	(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

rewrite50.0ms

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×	`flip3--` `associate-r/` `associate-r*` `pow-prod-down` `flip--`
3×	`sub-neg` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `associate-/r/` `*-commutative` `associate-/l/`
1×	`frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

6.0ms	(- (* y (* x y)) x)
6.0ms	(* y (* x y))
22.0ms	(* x (- (* y (* x y)) x))
14.0ms	(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

series257.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (* y (* x y)) x)
17.0ms	(* y (* x y))
82.0ms	(* x (- (* y (* x y)) x))
130.0ms	(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

simplify55.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	313	567
1	1642	488
2	5001	479

prune167.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (* x y))
0.2b	(/ 1 (/ (- (* x y) x) (* x (- (* y (* x y)) x))))
2.5b	(* x (- (* y (* x y)) x))
27.2b	(/ (- (* x y) x) (* x (- (* y (* x y)) x)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
37×	`add-exp-log`
29×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-cbrt-cube`
14×	`div-exp`
12×	`pow1` `associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
8×	`prod-exp`
7×	`cbrt-undiv` `flip3--` `flip--`
6×	`associate-l` `cbrt-unprod` `div-inv` `associate-/l*`
4×	`associate-r` `pow-prod-down` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num` `*-commutative` `associate-/l/`
1×	`pow-flip` `div-sub` `inv-pow` `unswap-sqr`

Counts

4 → 132

Calls

4 calls:

6.0ms	(* y (* x y))
22.0ms	(/ 1 (/ (- (* x y) x) (* x (- (* y (* x y)) x))))
22.0ms	(* x (- (* y (* x y)) x))
18.0ms	(/ (- (* x y) x) (* x (- (* y (* x y)) x)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* y (* x y))
129.0ms	(/ 1 (/ (- (* x y) x) (* x (- (* y (* x y)) x))))
81.0ms	(* x (- (* y (* x y)) x))
84.0ms	(/ (- (* x y) x) (* x (- (* y (* x y)) x)))

simplify80.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	524	1350
1	2870	1183
2	5002	1127

prune250.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

4.2b	(- (* (pow y 3) (* (* x y) x)) (pow x 2))
9.5b	(* (pow y 3) (* (* x y) x))
27.2b	(/ (* x (/ (- (* (pow y 3) (* (* x y) x)) (pow x 2)) (+ (* y (* x y)) x))) (- (* x y) x))
34.2b	(/ (- (* (pow y 3) (* (* x y) x)) (pow x 2)) (+ (* y (* x y)) x))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
24×	`add-cbrt-cube`
20×	`prod-exp`
17×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac` `associate-l`
8×	`cbrt-unprod`
6×	`associate-/r*` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-/r/` `associate-/l*`
3×	`pow-to-exp` `unpow-prod-down` `flip3--` `cube-prod` `pow-exp` `flip--` `associate-/l/`
2×	`frac-2neg` `clear-num` `div-inv`
1×	`cube-mult` `sub-neg` `flip3-+` `diff-log` `unpow3` `div-sub` `associate-r/` `associate-r` `-commutative` `flip-+` `sqr-pow`

Counts

4 → 103

Calls

4 calls:

18.0ms	(- (* (pow y 3) (* (* x y) x)) (pow x 2))
19.0ms	(* (pow y 3) (* (* x y) x))
27.0ms	(/ (* x (/ (- (* (pow y 3) (* (* x y) x)) (pow x 2)) (+ (* y (* x y)) x))) (- (* x y) x))
63.0ms	(/ (- (* (pow y 3) (* (* x y) x)) (pow x 2)) (+ (* y (* x y)) x))

series374.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (* (pow y 3) (* (* x y) x)) (pow x 2))
34.0ms	(* (pow y 3) (* (* x y) x))
222.0ms	(/ (* x (/ (- (* (pow y 3) (* (* x y) x)) (pow x 2)) (+ (* y (* x y)) x))) (- (* x y) x))
63.0ms	(/ (- (* (pow y 3) (* (* x y) x)) (pow x 2)) (+ (* y (* x y)) x))

simplify92.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	570	1359
1	3055	1150
2	5001	1109

prune307.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes47.0ms

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

sample479.0ms

Algorithm

intervals

Results

320.0ms	9177×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid