Details

sample33.0ms

Algorithm

intervals

Results

18.0ms	291×	body	80	valid
1.0ms	6×	body	320	valid
1.0ms	3×	body	1280	valid
1.0ms	3×	body	640	valid
0.0ms	4×	body	160	valid

simplify115.0ms

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: 0.3b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b	(- (/ 2.0 3.0) z)
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite64.0ms

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:

10.0ms	(* (- y x) 6.0)
5.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
10.0ms	(- (/ 2.0 3.0) z)
36.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series161.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (- y x) 6.0)
65.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
18.0ms	(- (/ 2.0 3.0) z)
47.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify58.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (13.0ms)

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

prune200.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

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:

6.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
10.0ms	(- (/ 2.0 3.0) z)
30.0ms	(* 6.0 (- (/ 2.0 3.0) z))
34.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series172.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
18.0ms	(- (/ 2.0 3.0) z)
39.0ms	(* 6.0 (- (/ 2.0 3.0) z))
48.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (12.0ms)

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

prune208.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (- z) (* (- y x) 6.0)))
0.0b	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
0.2b	(* (- z) (* (- y x) 6.0))
0.4b	(* (/ 2.0 3.0) (* (- y x) 6.0))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

23×	`associate-l`
21×	`add-exp-log` `add-cbrt-cube`
14×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`associate-*l/` `add-log-exp`
9×	`times-frac` `prod-exp` `cbrt-unprod`
8×	`associate-*r/`
6×	`pow-prod-down`
5×	`flip3--` `flip--`
4×	`flip3-+` `frac-add` `sum-log` `flip-+`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`cbrt-undiv` `+-commutative` `frac-times` `div-exp` `associate-r` `*-commutative`
1×	`neg-mul-1` `associate-+l+` `unsub-neg` `div-inv`

Counts

4 → 95

Calls

4 calls:

12.0ms	(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (- z) (* (- y x) 6.0)))
3.0ms	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
14.0ms	(* (- z) (* (- y x) 6.0))
20.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

series179.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (- z) (* (- y x) 6.0)))
36.0ms	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
49.0ms	(* (- z) (* (- y x) 6.0))
29.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	624	886
1	2696	794
2	5003	794

prune243.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

9.0ms	(* (- y x) 6.0)
13.0ms	(+ (- (* 4.0 y) (* 3.0 x)) (* (- z) (* (- y x) 6.0)))
14.0ms	(* (- z) (* (- y x) 6.0))

series137.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (- y x) 6.0)
63.0ms	(+ (- (* 4.0 y) (* 3.0 x)) (* (- z) (* (- y x) 6.0)))
46.0ms	(* (- z) (* (- y x) 6.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	469	582
1	2181	533
2	5003	532

prune367.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes104.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	8
1	25	8
2	32	8
3	32	8

end0.0ms

sample936.0ms

Algorithm

intervals

Results

572.0ms	9495×	body	80	valid
58.0ms	258×	body	640	valid
42.0ms	140×	body	1280	valid
37.0ms	216×	body	320	valid
13.0ms	95×	body	160	valid