Details

sample25.0ms

Algorithm

intervals

Results

8.0ms	307×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	6×	body	160	valid
0.0ms	4×	body	320	valid

simplify108.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* (- y x) 6.0)
0.1b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.5b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite129.0ms

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:

17.0ms	(- (/ 2.0 3.0) z)
22.0ms	(* (- y x) 6.0)
12.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
74.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series167.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ 2.0 3.0) z)
30.0ms	(* (- y x) 6.0)
68.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
46.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify53.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (11.0ms)

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

prune212.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
0.5b	(* (/ 2.0 3.0) (* (- y x) 6.0))
0.5b	(* (* (- y x) 6.0) (- z))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
20×	`add-sqr-sqrt`
19×	`associate-l`
18×	`*-un-lft-identity`
16×	`pow1` `add-cube-cbrt`
14×	`associate-r`
11×	`associate-*l/`
10×	`prod-exp` `cbrt-unprod`
9×	`times-frac`
7×	`pow-prod-down`
6×	`add-log-exp`
4×	`flip3--` `flip--`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `*-commutative`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp`
1×	`+-commutative` `neg-mul-1` `flip3-+` `sum-log` `distribute-rgt-neg-out` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

21.0ms	(* (- y x) 6.0)
9.0ms	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
44.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))
39.0ms	(* (* (- y x) 6.0) (- z))

series142.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (- y x) 6.0)
43.0ms	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
32.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))
37.0ms	(* (* (- y x) 6.0) (- z))

simplify65.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	522	590
1	2823	509
2	5003	507

prune240.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.1b	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.6b	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite154.0ms

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:

18.0ms	(- (/ 2.0 3.0) z)
49.0ms	(* 6.0 (- (/ 2.0 3.0) z))
15.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
69.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series175.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (/ 2.0 3.0) z)
43.0ms	(* 6.0 (- (/ 2.0 3.0) z))
64.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
49.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (10.0ms)

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

prune215.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 4.0 (* 6.0 z))
0.1b	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
0.6b	(* (- y x) (- 4.0 (* 6.0 z)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

5.0ms	(- 4.0 (* 6.0 z))
9.0ms	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
38.0ms	(* (- y x) (- 4.0 (* 6.0 z)))

series152.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- 4.0 (* 6.0 z))
68.0ms	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
49.0ms	(* (- y x) (- 4.0 (* 6.0 z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	315	441
1	1286	414
2	5003	414

prune198.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes145.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	10
1	25	10
2	32	10
3	32	10

end0.0ms

sample616.0ms

Algorithm

intervals

Results

262.0ms	9368×	body	80	valid
26.0ms	262×	body	640	valid
21.0ms	161×	body	1280	valid
17.0ms	203×	body	320	valid
5.0ms	102×	body	160	valid