Details

sample17.0ms

Algorithm

intervals

Results

4.0ms	213×	body	80	valid
1.0ms	19×	body	1280	valid
1.0ms	22×	body	640	valid
1.0ms	25×	body	320	valid
0.0ms	15×	body	160	valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	27	4
2	78	4
3	245	4
4	634	4
5	1081	4
6	2442	4
7	4046	4
8	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 y))
4.0b	(+ x (* (- 1.0 x) (- 1.0 y)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `frac-times` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

37.0ms	(* (- 1.0 x) (- 1.0 y))
8.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

series40.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* (- 1.0 x) (- 1.0 y))
21.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

simplify37.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	276	312
1	1146	296
2	5001	296

prune102.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) 1.0)
0.0b	(- (+ (* x y) 1.0) (* 1.0 y))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

7.0ms	(+ (* x y) 1.0)
46.0ms	(- (+ (* x y) 1.0) (* 1.0 y))

series42.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (* x y) 1.0)
20.0ms	(- (+ (* x y) 1.0) (* 1.0 y))

simplify55.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	140	161
1	484	152
2	1889	146
3	5002	146

prune53.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y (- x 1.0)) 1.0)
0.0b	(* y (- x 1.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

12.0ms	(+ (* y (- x 1.0)) 1.0)
19.0ms	(* y (- x 1.0))

series47.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (* y (- x 1.0)) 1.0)
26.0ms	(* y (- x 1.0))

simplify81.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	173	186
1	708	167
2	3215	165
3	5002	165

prune71.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (+ (* x y) 1.0) 3)
1.6b	(+ (* (+ (* x y) 1.0) (+ (+ (* x y) 1.0) (* 1.0 y))) (* (* 1.0 y) (* 1.0 y)))
4.3b	(- (pow (+ (* x y) 1.0) 3) (pow (* 1.0 y) 3))
20.9b	(/ (- (pow (+ (* x y) 1.0) 3) (pow (* 1.0 y) 3)) (+ (* (+ (* x y) 1.0) (+ (+ (* x y) 1.0) (* 1.0 y))) (* (* 1.0 y) (* 1.0 y))))

rewrite385.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
40×	`difference-of-squares`
39×	`times-frac`
35×	`*-un-lft-identity`
31×	`sqr-pow`
25×	`add-cube-cbrt`
13×	`unpow-prod-down` `cube-prod` `associate-/l*`
8×	`add-log-exp`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `difference-cubes` `distribute-lft-out--`
3×	`pow-unpow` `flip3-+` `associate-/r*` `flip-+`
2×	`cube-div` `associate-+l+` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `pow-pow` `frac-2neg` `distribute-lft-in` `diff-log` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `sum-log` `div-inv` `rem-cube-cbrt`

Counts

4 → 132

Calls

4 calls:

11.0ms	(pow (+ (* x y) 1.0) 3)
50.0ms	(+ (* (+ (* x y) 1.0) (+ (+ (* x y) 1.0) (* 1.0 y))) (* (* 1.0 y) (* 1.0 y)))
88.0ms	(- (pow (+ (* x y) 1.0) 3) (pow (* 1.0 y) 3))
230.0ms	(/ (- (pow (+ (* x y) 1.0) 3) (pow (* 1.0 y) 3)) (+ (* (+ (* x y) 1.0) (+ (+ (* x y) 1.0) (* 1.0 y))) (* (* 1.0 y) (* 1.0 y))))

series479.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(pow (+ (* x y) 1.0) 3)
48.0ms	(+ (* (+ (* x y) 1.0) (+ (+ (* x y) 1.0) (* 1.0 y))) (* (* 1.0 y) (* 1.0 y)))
258.0ms	(- (pow (+ (* x y) 1.0) 3) (pow (* 1.0 y) 3))
127.0ms	(/ (- (pow (+ (* x y) 1.0) 3) (pow (* 1.0 y) 3)) (+ (* (+ (* x y) 1.0) (+ (+ (* x y) 1.0) (* 1.0 y))) (* (* 1.0 y) (* 1.0 y))))

simplify120.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	636	2965
1	2986	2815
2	5002	2757

prune363.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes23.0ms

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

sample446.0ms

Algorithm

intervals

Results

126.0ms	6894×	body	80	valid
51.0ms	840×	body	640	valid
39.0ms	433×	body	1280	valid
28.0ms	600×	body	320	valid
11.0ms	348×	body	160	valid