Details

sample21.0ms

Algorithm

intervals

Results

8.0ms	281×	body	80	valid
1.0ms	9×	body	640	valid
1.0ms	8×	body	320	valid
1.0ms	4×	body	1280	valid
0.0ms	6×	body	160	valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize13.0ms

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	(* (- y x) 6.0)
0.6b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

7.0ms	(- (/ 2.0 3.0) z)
5.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
6.0ms	(* (- y x) 6.0)
14.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series162.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (/ 2.0 3.0) z)
65.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
34.0ms	(* (- y x) 6.0)
44.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify57.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	435	616
1	2060	564
2	5001	564

prune214.0ms

Pruning

9 alts after pruning (9 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)))

rewrite41.0ms

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:

8.0ms	(- (/ 2.0 3.0) z)
5.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
10.0ms	(* 6.0 (- (/ 2.0 3.0) z))
15.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series173.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (/ 2.0 3.0) z)
65.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
39.0ms	(* 6.0 (- (/ 2.0 3.0) z))
50.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (13.0ms)

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

prune220.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

4.0ms	(+ x (* (* (/ 2.0 3.0) 6.0) (- y x)))
8.0ms	(+ (+ x (* (* (/ 2.0 3.0) 6.0) (- y x))) (* (* 6.0 (- z)) (- y x)))
8.0ms	(* (* 6.0 (- z)) (- y x))

series159.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ x (* (* (/ 2.0 3.0) 6.0) (- y x)))
67.0ms	(+ (+ x (* (* (/ 2.0 3.0) 6.0) (- y x))) (* (* 6.0 (- z)) (- y x)))
47.0ms	(* (* 6.0 (- z)) (- y x))

simplify70.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	465	717
1	2241	668
2	5001	658

prune184.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

3.0ms	(- (* 4.0 y) (* 3.0 x))
8.0ms	(+ (- (* 4.0 y) (* 3.0 x)) (* (* 6.0 (- z)) (- y x)))
8.0ms	(* (* 6.0 (- z)) (- y x))

series154.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- (* 4.0 y) (* 3.0 x))
64.0ms	(+ (- (* 4.0 y) (* 3.0 x)) (* (* 6.0 (- z)) (- y x)))
51.0ms	(* (* 6.0 (- z)) (- y x))

simplify67.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	450	605
1	2125	565
2	5001	555

prune163.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify8.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	11
1	43	11
2	57	11
3	72	11
4	117	11
5	160	11
6	179	11
7	189	11
8	209	11
9	213	11
10	218	11
11	223	11
12	230	11
13	230	11

end0.0ms

sample552.0ms

Algorithm

intervals

Results

278.0ms	9457×	body	80	valid
26.0ms	256×	body	640	valid
21.0ms	151×	body	1280	valid
14.0ms	186×	body	320	valid
7.0ms	134×	body	160	valid

Iter	Nodes	Cost
0	29	11
1	43	11
2	57	11
3	72	11
4	117	11
5	160	11
6	179	11
7	189	11
8	209	11
9	213	11
10	218	11
11	223	11
12	230	11
13	230	11

Iter	Nodes	Cost
0	29	11
1	43	11
2	57	11
3	72	11
4	117	11
5	160	11
6	179	11
7	189	11
8	209	11
9	213	11
10	218	11
11	223	11
12	230	11
13	230	11

Iter	Nodes	Cost
0	29	11
1	43	11
2	57	11
3	72	11
4	117	11
5	160	11
6	179	11
7	189	11
8	209	11
9	213	11
10	218	11
11	223	11
12	230	11
13	230	11