Details

sample17.0ms

Algorithm

intervals

Results

4.0ms	244×	body	80	valid
1.0ms	22×	body	640	valid
1.0ms	13×	body	1280	valid
1.0ms	15×	body	320	valid
0.0ms	10×	body	160	valid

simplify80.0ms

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: 13.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 y))
2.6b	(+ x (* (- 1.0 x) (- 1.0 y)))

rewrite44.0ms

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:

35.0ms	(* (- 1.0 x) (- 1.0 y))
8.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

series49.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(* (- 1.0 x) (- 1.0 y))
27.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

simplify34.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (8.0ms)

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

prune95.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite47.0ms

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:

46.0ms

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

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify48.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (13.0ms)

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

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x 1.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

21.0ms

(* y (- x 1.0))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* y (- x 1.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	112	98
1	462	88
2	1883	88
3	5002	88

prune43.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (+ (* x y) 1.0) (+ (* x y) 1.0))
5.1b	(- (* (+ (* x y) 1.0) (+ (* x y) 1.0)) (* (* 1.0 y) (* 1.0 y)))
17.1b	(/ (- (* (+ (* x y) 1.0) (+ (* x y) 1.0)) (* (* 1.0 y) (* 1.0 y))) (+ (* y (+ x 1.0)) 1.0))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
10×	`pow1`
7×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
5×	`add-log-exp` `difference-of-squares`
4×	`frac-times` `associate-/l*`
3×	`swap-sqr` `associate-r` `associate-l` `associate-/r*`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `pow2` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 86

Calls

3 calls:

46.0ms	(* (+ (* x y) 1.0) (+ (* x y) 1.0))
38.0ms	(- (* (+ (* x y) 1.0) (+ (* x y) 1.0)) (* (* 1.0 y) (* 1.0 y)))
85.0ms	(/ (- (* (+ (* x y) 1.0) (+ (* x y) 1.0)) (* (* 1.0 y) (* 1.0 y))) (+ (* y (+ x 1.0)) 1.0))

series155.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* (+ (* x y) 1.0) (+ (* x y) 1.0))
39.0ms	(- (* (+ (* x y) 1.0) (+ (* x y) 1.0)) (* (* 1.0 y) (* 1.0 y)))
78.0ms	(/ (- (* (+ (* x y) 1.0) (+ (* x y) 1.0)) (* (* 1.0 y) (* 1.0 y))) (+ (* y (+ x 1.0)) 1.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	481	1239
1	2414	1121
2	5002	1082

prune198.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 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

sample451.0ms

Algorithm

intervals

Results

133.0ms	7030×	body	80	valid
55.0ms	824×	body	640	valid
35.0ms	404×	body	1280	valid
25.0ms	525×	body	320	valid
12.0ms	356×	body	160	valid