Details

sample16.0ms

Algorithm

intervals

Results

4.0ms	226×	body	80	valid
1.0ms	17×	body	1280	valid
1.0ms	21×	body	640	valid
1.0ms	16×	body	320	valid
0.0ms	10×	body	160	valid

simplify15.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	27	9
3	68	9
4	172	9
5	373	9
6	717	9
7	1269	9
8	2315	9
9	2940	9
10	3127	9
11	3430	9
12	3853	9
13	4260	9
14	4411	9
15	4495	9
16	4519	9
done	4519	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 y))
2.9b	(+ x (* (- 1.0 x) (- 1.0 y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

17.0ms	(* (- 1.0 x) (- 1.0 y))
4.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

series45.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(* (- 1.0 x) (- 1.0 y))
23.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

simplify2.1s

Counts

55 → 55

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	101	691
1	276	649
2	1028	617
3	4539	611
done	5000	611

prune112.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y (- x 1.0)) 1.0)
0.0b	(* y (- x 1.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

5.0ms	(+ (* y (- x 1.0)) 1.0)
10.0ms	(* y (- x 1.0))

series55.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (* y (- x 1.0)) 1.0)
30.0ms	(* y (- x 1.0))

simplify1.2s

Counts

47 → 47

Iterations

Useful iterations: 3 (183.0ms)

Iter	Nodes	Cost
0	73	413
1	172	389
2	443	355
3	1507	351
done	5001	351

prune69.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) (* (- 1.0) y)) 1.0)
0.0b	(+ (* x y) (* (- 1.0) y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`distribute-lft-neg-out` `*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l-` `flip3-+` `unsub-neg` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-rgt-out` `distribute-lft-out`

Counts

2 → 30

Calls

2 calls:

13.0ms	(+ (+ (* x y) (* (- 1.0) y)) 1.0)
3.0ms	(+ (* x y) (* (- 1.0) y))

series59.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (+ (* x y) (* (- 1.0) y)) 1.0)
35.0ms	(+ (* x y) (* (- 1.0) y))

simplify1.5s

Counts

36 → 36

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	55	453
1	176	325
2	606	301
3	2380	293
done	5000	292

prune61.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample427.0ms

Algorithm

intervals

Results

138.0ms	6945×	body	80	valid
60.0ms	838×	body	640	valid
37.0ms	426×	body	1280	valid
32.0ms	595×	body	320	valid
16.0ms	377×	body	160	valid