Details

sample23.0ms

Algorithm

intervals

Results

10.0ms	314×	body	80	valid
1.0ms	11×	body	640	valid
1.0ms	7×	body	1280	valid
0.0ms	3×	body	320	valid

simplify112.0ms

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

localize10.0ms

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

rewrite36.0ms

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)
4.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
6.0ms	(* (- y x) 6.0)
16.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series151.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (/ 2.0 3.0) z)
58.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
31.0ms	(* (- y x) 6.0)
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

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)))

rewrite37.0ms

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:

7.0ms	(- (/ 2.0 3.0) z)
5.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
9.0ms	(* 6.0 (- (/ 2.0 3.0) z))
13.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (/ 2.0 3.0) z)
59.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
36.0ms	(* 6.0 (- (/ 2.0 3.0) z))
43.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (10.0ms)

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

prune218.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))) (* (* (- z) 6.0) (- y x)))
0.3b	(* (* (- z) 6.0) (- y x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `associate-+r+` `add-cbrt-cube`
6×	`distribute-lft-neg-out` `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×	`flip3--` `pow-prod-down` `prod-exp` `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:

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

series146.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ x (* (* (/ 2.0 3.0) 6.0) (- y x)))
64.0ms	(+ (+ x (* (* (/ 2.0 3.0) 6.0) (- y x))) (* (* (- z) 6.0) (- y x)))
45.0ms	(* (* (- z) 6.0) (- y x))

simplify64.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	461	716
1	2235	664
2	5001	653

prune191.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

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

series163.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (+ x (* y (* (/ 2.0 3.0) 6.0))) (* (- x) (* (/ 2.0 3.0) 6.0)))
73.0ms	(+ (+ (+ x (* y (* (/ 2.0 3.0) 6.0))) (* (- x) (* (/ 2.0 3.0) 6.0))) (* (* (- z) 6.0) (- y x)))
48.0ms	(* (* (- z) 6.0) (- y x))

simplify101.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	655	1265
1	3363	1176
2	5001	1165

prune239.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes168.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	14
1	48	14
2	65	14
3	85	14
4	137	14
5	155	14
6	179	14
7	200	14
8	208	14
9	217	14
10	217	14

end0.0ms

sample570.0ms

Algorithm

intervals

Results

287.0ms	9436×	body	80	valid
30.0ms	271×	body	640	valid
26.0ms	170×	body	1280	valid
16.0ms	194×	body	320	valid
5.0ms	95×	body	160	valid

Iter	Nodes	Cost
0	30	14
1	48	14
2	65	14
3	85	14
4	137	14
5	155	14
6	179	14
7	200	14
8	208	14
9	217	14
10	217	14

Iter	Nodes	Cost
0	30	14
1	48	14
2	65	14
3	85	14
4	137	14
5	155	14
6	179	14
7	200	14
8	208	14
9	217	14
10	217	14

Iter	Nodes	Cost
0	30	14
1	48	14
2	65	14
3	85	14
4	137	14
5	155	14
6	179	14
7	200	14
8	208	14
9	217	14
10	217	14