Details

sample20.0ms

Algorithm

intervals

Results

8.0ms	293×	body	80	valid
1.0ms	6×	body	640	valid
1.0ms	7×	body	320	valid
0.0ms	3×	body	1280	valid
0.0ms	4×	body	160	valid

simplify115.0ms

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

rewrite72.0ms

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)
6.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
11.0ms	(* (- y x) 6.0)
41.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series369.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ 2.0 3.0) z)
62.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
240.0ms	(* (- y x) 6.0)
44.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify56.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (12.0ms)

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

prune202.0ms

Pruning

8 alts after pruning (8 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)))

rewrite91.0ms

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))))
32.0ms	(* 6.0 (- (/ 2.0 3.0) z))
38.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series159.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (/ 2.0 3.0) z)
61.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
39.0ms	(* 6.0 (- (/ 2.0 3.0) z))
42.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (11.0ms)

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

prune202.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

17.0ms	(+ (* (- y x) (* (/ 2.0 3.0) 6.0)) (* (- y x) (* (- z) 6.0)))
35.0ms	(+ x (+ (* (- y x) (* (/ 2.0 3.0) 6.0)) (* (- y x) (* (- z) 6.0))))
16.0ms	(* (- y x) (* (- z) 6.0))

series160.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(+ (* (- y x) (* (/ 2.0 3.0) 6.0)) (* (- y x) (* (- z) 6.0)))
65.0ms	(+ x (+ (* (- y x) (* (/ 2.0 3.0) 6.0)) (* (- y x) (* (- z) 6.0))))
32.0ms	(* (- y x) (* (- z) 6.0))

simplify89.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	607	804
1	2925	722
2	5001	718

prune199.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
25×	`add-exp-log` `add-cbrt-cube`
24×	`associate-l`
22×	`*-un-lft-identity`
18×	`pow1` `add-cube-cbrt`
17×	`associate-r`
13×	`associate-*l/`
11×	`prod-exp` `cbrt-unprod`
9×	`times-frac`
8×	`pow-prod-down`
5×	`flip3--` `flip--`
4×	`*-commutative` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`neg-mul-1` `distribute-rgt-neg-out` `div-inv`

Counts

4 → 109

Calls

4 calls:

11.0ms	(* (- y x) 6.0)
11.0ms	(* (- y x) 6.0)
18.0ms	(* (* (- y x) 6.0) (- z))
20.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

series121.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (- y x) 6.0)
31.0ms	(* (- y x) 6.0)
31.0ms	(* (* (- y x) 6.0) (- z))
30.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	466	577
1	2582	488
2	5003	488

prune256.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes144.0ms

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	23	10
1	31	10
2	35	10
3	35	10

end0.0ms

sample532.0ms

Algorithm

intervals

Results

264.0ms	9384×	body	80	valid
26.0ms	261×	body	640	valid
19.0ms	151×	body	1280	valid
16.0ms	208×	body	320	valid
7.0ms	131×	body	160	valid