Details

sample35.0ms

Algorithm

intervals

Results

20.0ms	316×	body	80	valid
2.0ms	11×	body	320	valid
1.0ms	5×	body	640	valid
1.0ms	2×	body	1280	valid
0.0ms	3×	body	160	valid

simplify113.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

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:

11.0ms	(- (/ 2.0 3.0) z)
10.0ms	(* (- y x) 6.0)
6.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
39.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series154.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (/ 2.0 3.0) z)
29.0ms	(* (- y x) 6.0)
63.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
42.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify54.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (11.0ms)

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

prune206.0ms

Pruning

10 alts after pruning (10 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)))

rewrite94.0ms

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:

11.0ms	(- (/ 2.0 3.0) z)
7.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
33.0ms	(* 6.0 (- (/ 2.0 3.0) z))
38.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series169.0ms

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))))
37.0ms	(* 6.0 (- (/ 2.0 3.0) z))
49.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (11.0ms)

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

prune209.0ms

Pruning

9 alts after pruning (8 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)))
0.0b	(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (* (- y x) 6.0) (- z)))
0.3b	(* (* (- y x) 6.0) (- z))
0.4b	(* (/ 2.0 3.0) (* (- y x) 6.0))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

3.0ms	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
13.0ms	(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (* (- y x) 6.0) (- z)))
17.0ms	(* (* (- y x) 6.0) (- z))
22.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

series166.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
61.0ms	(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (* (- y x) 6.0) (- z)))
35.0ms	(* (* (- y x) 6.0) (- z))
30.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify82.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	644	890
1	3130	803
2	5002	800

prune249.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 4.0 y) (* 3.0 x))
0.0b	(* (- y x) 6.0)
0.0b	(+ (- (* 4.0 y) (* 3.0 x)) (* (* (- y x) 6.0) (- z)))
0.3b	(* (* (- y x) 6.0) (- z))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

2.0ms	(- (* 4.0 y) (* 3.0 x))
11.0ms	(* (- y x) 6.0)
14.0ms	(+ (- (* 4.0 y) (* 3.0 x)) (* (* (- y x) 6.0) (- z)))
17.0ms	(* (* (- y x) 6.0) (- z))

series167.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* 4.0 y) (* 3.0 x))
30.0ms	(* (- y x) 6.0)
64.0ms	(+ (- (* 4.0 y) (* 3.0 x)) (* (* (- y x) 6.0) (- z)))
36.0ms	(* (* (- y x) 6.0) (- z))

simplify69.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	495	654
1	2372	606
2	5001	603

prune213.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes116.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample965.0ms

Algorithm

intervals

Results

584.0ms	9397×	body	80	valid
59.0ms	258×	body	640	valid
49.0ms	169×	body	1280	valid
30.0ms	173×	body	320	valid
14.0ms	119×	body	160	valid