Details

sample21.0ms

Algorithm

intervals

Results

7.0ms	243×	body	80	valid
1.0ms	5×	body	1280	valid
0.0ms	6×	body	320	valid
0.0ms	2×	body	640	valid

simplify307.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (26.0ms)

Iter	Nodes	Cost
0	8	11
1	20	11
2	61	11
3	145	9
4	224	9
5	229	9
done	229	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (+ z (* 2 (+ x y))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`*-un-lft-identity` `sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

31.0ms

(+ x (+ z (* 2 (+ x y))))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(+ x (+ z (* 2 (+ x y))))

simplify1.3s

Counts

17 → 17

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	38	232
1	111	221
2	385	203
3	1904	203
done	5000	203

prune58.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ x z) (* 2 (+ x y)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `frac-add`
3×	`sum-log`
2×	`associate-+r+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube`

Counts

1 → 19

Calls

1 calls:

72.0ms

(+ (+ x z) (* 2 (+ x y)))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(+ (+ x z) (* 2 (+ x y)))

simplify768.0ms

Counts

22 → 22

Iterations

Useful iterations: done (766.0ms)

Iter	Nodes	Cost
0	78	433
1	257	406
2	1028	388
done	5000	376

prune83.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 3 x) (+ z (* 2 y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

17.0ms

(+ (* 3 x) (+ z (* 2 y)))

series30.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(+ (* 3 x) (+ z (* 2 y)))

simplify1.4s

Counts

16 → 16

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	34	225
1	113	212
2	426	194
3	1766	194
done	5000	194

prune78.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z (* 2 (+ x y))) (+ z (* 2 (+ x y))))
0.0b	(- x (+ z (* 2 (+ x y))))
14.3b	(- (* x x) (* (+ z (* 2 (+ x y))) (+ z (* 2 (+ x y)))))
34.1b	(/ (- (* x x) (* (+ z (* 2 (+ x y))) (+ z (* 2 (+ x y))))) (- x (+ z (* 2 (+ x y)))))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
20×	`times-frac`
19×	`add-cube-cbrt`
13×	`difference-of-squares`
11×	`pow1` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `distribute-lft-out--`
5×	`associate-/r*`
4×	`frac-times` `flip3--` `flip--` `associate-/l*`
3×	`diff-log` `swap-sqr` `associate-r` `associate-l` `associate--r+`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

32.0ms	(* (+ z (* 2 (+ x y))) (+ z (* 2 (+ x y))))
15.0ms	(- x (+ z (* 2 (+ x y))))
9.0ms	(- (* x x) (* (+ z (* 2 (+ x y))) (+ z (* 2 (+ x y)))))
65.0ms	(/ (- (* x x) (* (+ z (* 2 (+ x y))) (+ z (* 2 (+ x y))))) (- x (+ z (* 2 (+ x y)))))

series498.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (+ z (* 2 (+ x y))) (+ z (* 2 (+ x y))))
40.0ms	(- x (+ z (* 2 (+ x y))))
198.0ms	(- (* x x) (* (+ z (* 2 (+ x y))) (+ z (* 2 (+ x y)))))
150.0ms	(/ (- (* x x) (* (+ z (* 2 (+ x y))) (+ z (* 2 (+ x y))))) (- x (+ z (* 2 (+ x y)))))

simplify2.1s

Counts

124 → 124

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	193	3732
1	547	3380
2	2238	2877
done	5002	2533

prune379.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes156.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample839.0ms

Algorithm

intervals

Results

428.0ms	7405×	body	80	valid
29.0ms	170×	body	1280	valid
27.0ms	199×	body	640	valid
13.0ms	129×	body	320	valid
11.0ms	42×	body	2560	valid
5.0ms	66×	body	160	valid