Details

sample35.0ms

Algorithm

intervals

Results

13.0ms	242×	body	80	valid
2.0ms	8×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid

simplify397.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	8	11
1	20	11
2	66	11
3	206	9
4	392	9
5	428	9
done	428	9

prune8.0ms

Pruning

1 alts after pruning (1 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))))

rewrite31.0ms

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:

30.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify1.3s

Counts

17 → 17

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	38	232
1	112	221
2	399	203
3	2286	203
done	5002	203

prune43.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

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:

18.0ms

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

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify1.5s

Counts

16 → 16

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	34	225
1	113	212
2	434	194
3	2088	194
done	5002	194

prune51.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z (* 2 y)) (+ z (* 2 y)))
0.1b	(* 9 (* x x))
6.4b	(- (* 9 (* x x)) (* (+ z (* 2 y)) (+ z (* 2 y))))
34.8b	(/ (- (* 9 (* x x)) (* (+ z (* 2 y)) (+ z (* 2 y)))) (- (* 3 x) (+ z (* 2 y))))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`pow1`
13×	`add-exp-log` `add-cbrt-cube`
9×	`times-frac`
6×	`flip3-+` `associate-l` `flip-+` `add-log-exp`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`flip3--` `swap-sqr` `associate-/r` `flip--` `associate-/l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `associate-/r/` `*-commutative` `associate-/l/` `associate--r+` `unswap-sqr`
1×	`cbrt-undiv` `pow2` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `div-sub` `div-exp` `clear-num` `pow-sqr` `pow-prod-up` `div-inv`

Counts

4 → 100

Calls

4 calls:

38.0ms	(* (+ z (* 2 y)) (+ z (* 2 y)))
21.0ms	(* 9 (* x x))
34.0ms	(- (* 9 (* x x)) (* (+ z (* 2 y)) (+ z (* 2 y))))
93.0ms	(/ (- (* 9 (* x x)) (* (+ z (* 2 y)) (+ z (* 2 y)))) (- (* 3 x) (+ z (* 2 y))))

series308.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (+ z (* 2 y)) (+ z (* 2 y)))
49.0ms	(* 9 (* x x))
111.0ms	(- (* 9 (* x x)) (* (+ z (* 2 y)) (+ z (* 2 y))))
117.0ms	(/ (- (* 9 (* x x)) (* (+ z (* 2 y)) (+ z (* 2 y)))) (- (* 3 x) (+ z (* 2 y))))

simplify3.2s

Counts

112 → 112

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	176	2644
1	592	2451
2	4611	2209
done	5000	2140

prune420.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes69.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample826.0ms

Algorithm

intervals

Results

421.0ms	7445×	body	80	valid
31.0ms	175×	body	1280	valid
25.0ms	179×	body	640	valid
13.0ms	123×	body	320	valid
8.0ms	60×	body	160	valid
6.0ms	31×	body	2560	valid