Details

sample21.0ms

Algorithm

intervals

Results

7.0ms	234×	body	80	valid
2.0ms	27×	body	640	valid
2.0ms	20×	body	1280	valid
1.0ms	13×	body	320	valid
0.0ms	11×	body	160	valid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 15.7b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 y))
2.0b	(+ x (* (- 1.0 x) (- 1.0 y)))

rewrite42.0ms

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:

33.0ms	(* (- 1.0 x) (- 1.0 y))
8.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

series41.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(* (- 1.0 x) (- 1.0 y))
23.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

simplify35.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (8.0ms)

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

prune92.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

44.0ms

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

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	92	109
1	334	100
2	1557	95
3	5002	95

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (+ (* x y) 1.0) 3)
2.6b	(+ (* (+ (* x y) 1.0) (+ (+ (* x y) 1.0) (* 1.0 y))) (* (* 1.0 y) (* 1.0 y)))
4.0b	(- (pow (+ (* x y) 1.0) 3) (pow (* 1.0 y) 3))
26.1b	(/ (- (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))))

rewrite381.0ms

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))
227.0ms	(/ (- (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))))

series288.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(pow (+ (* x y) 1.0) 3)
49.0ms	(+ (* (+ (* x y) 1.0) (+ (+ (* x y) 1.0) (* 1.0 y))) (* (* 1.0 y) (* 1.0 y)))
70.0ms	(- (pow (+ (* x y) 1.0) 3) (pow (* 1.0 y) 3))
126.0ms	(/ (- (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))))

simplify119.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (94.0ms)

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

prune340.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

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

sample453.0ms

Algorithm

intervals

Results

135.0ms	6972×	body	80	valid
52.0ms	822×	body	640	valid
31.0ms	397×	body	1280	valid
28.0ms	580×	body	320	valid
14.0ms	326×	body	160	valid