Details

sample22.0ms

Algorithm

intervals

Results

8.0ms	301×	body	80	valid
1.0ms	12×	body	320	valid
0.0ms	5×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	6
1	48	6
2	160	6
3	421	6
4	984	6
5	1956	6
6	3390	6
7	5001	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.2b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

17.0ms	(- (/ 2.0 3.0) z)
13.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
70.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series111.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(- (/ 2.0 3.0) z)
56.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
38.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify51.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	397	528
1	1724	486
2	5003	486

prune151.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.1b	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

18.0ms	(- (/ 2.0 3.0) z)
15.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
48.0ms	(* 6.0 (- (/ 2.0 3.0) z))
68.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (/ 2.0 3.0) z)
54.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
36.0ms	(* 6.0 (- (/ 2.0 3.0) z))
37.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	437	708
1	1830	652
2	5001	652

prune189.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) (+ (/ 2.0 3.0) (- z))))
0.0b	(+ (/ 2.0 3.0) (- z))
0.2b	(* (* (- y x) 6.0) (+ (/ 2.0 3.0) (- z)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`add-log-exp`
8×	`pow1` `add-exp-log` `associate-*l/` `add-cbrt-cube`
5×	`flip3-+` `associate-r` `flip-+`
4×	`add-sqr-sqrt` `frac-times` `add-cube-cbrt` `distribute-lft-out`
3×	`flip3--` `pow-prod-down` `prod-exp` `sum-log` `flip--` `cbrt-unprod`
2×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-rgt-neg-in` `distribute-lft-in` `associate-*r/`
1×	`neg-sub0` `associate-+r-` `associate-l` `unsub-neg` `neg-log` `*-commutative`

Counts

3 → 60

Calls

3 calls:

11.0ms	(+ x (* (* (- y x) 6.0) (+ (/ 2.0 3.0) (- z))))
20.0ms	(+ (/ 2.0 3.0) (- z))
80.0ms	(* (* (- y x) 6.0) (+ (/ 2.0 3.0) (- z)))

series107.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ x (* (* (- y x) 6.0) (+ (/ 2.0 3.0) (- z))))
16.0ms	(+ (/ 2.0 3.0) (- z))
37.0ms	(* (* (- y x) 6.0) (+ (/ 2.0 3.0) (- z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	422	540
1	2166	478
2	5001	474

prune136.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 6.0 (* x z)) (* 4.0 y))
0.0b	(- (+ (* 6.0 (* x z)) (* 4.0 y)) (* 3.0 x))
0.2b	(* 6.0 (* x z))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate-r` `associate--l+` `*-commutative` `flip--` `flip-+`

Counts

3 → 43

Calls

3 calls:

15.0ms	(+ (* 6.0 (* x z)) (* 4.0 y))
94.0ms	(- (+ (* 6.0 (* x z)) (* 4.0 y)) (* 3.0 x))
16.0ms	(* 6.0 (* x z))

series93.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* 6.0 (* x z)) (* 4.0 y))
40.0ms	(- (+ (* 6.0 (* x z)) (* 4.0 y)) (* 3.0 x))
18.0ms	(* 6.0 (* x z))

simplify122.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	234	309
1	891	286
2	3894	278
3	5002	278

prune88.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes122.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample610.0ms

Algorithm

intervals

Results

259.0ms	9447×	body	80	valid
25.0ms	267×	body	640	valid
19.0ms	151×	body	1280	valid
17.0ms	207×	body	320	valid
5.0ms	106×	body	160	valid