Details

sample23.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	4	9
1	13	7
2	26	7
3	41	7
4	59	7
5	92	7
6	183	7
7	524	7
8	2128	7
done	5000	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (* x x)) (* x x))
0.1b	(* x (* x x))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `pow2` `distribute-lft1-in` `flip3-+` `pow-plus` `cube-unmult` `associate-r` `sum-log` `pow-sqr` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

22.0ms	(+ (* x (* x x)) (* x x))
41.0ms	(* x (* x x))

series153.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(+ (* x (* x x)) (* x x))
46.0ms	(* x (* x x))

simplify2.2s

Counts

43 → 43

Iterations

Useful iterations: 3 (470.0ms)

Iter	Nodes	Cost
0	57	384
1	135	260
2	436	227
3	1620	225
done	5000	225

prune60.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ (* x x) x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `associate-r`
4×	`*-un-lft-identity`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-rgt-out` `distribute-lft-in` `distribute-lft1-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

28.0ms

(* x (+ (* x x) x))

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

(* x (+ (* x x) x))

simplify2.6s

Counts

27 → 27

Iterations

Useful iterations: 3 (558.0ms)

Iter	Nodes	Cost
0	44	255
1	123	244
2	420	214
3	1575	211
done	5001	211

prune41.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x)))
0.7b	(cbrt (+ (* x x) x))
0.7b	(cbrt (+ (* x x) x))
0.7b	(cbrt (+ (* x x) x))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
23×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`swap-sqr` `associate-r` `associate-l`
7×	`distribute-rgt-out` `distribute-lft1-in`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

64.0ms	(* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x)))
6.0ms	(cbrt (+ (* x x) x))
6.0ms	(cbrt (+ (* x x) x))
6.0ms	(cbrt (+ (* x x) x))

series183.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x)))
49.0ms	(cbrt (+ (* x x) x))
37.0ms	(cbrt (+ (* x x) x))
40.0ms	(cbrt (+ (* x x) x))

simplify3.2s

Counts

111 → 111

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	132	1780
1	282	1586
2	713	1482
3	1570	1377
4	4134	1369
done	5000	1324

prune365.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (pow x 6) (pow x 4))
44.7b	(/ (- (pow x 6) (pow x 4)) (- (pow x 3) (pow x 2)))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

607×	`add-sqr-sqrt`
440×	`difference-of-squares`
286×	`times-frac`
256×	`unpow-prod-down` `sqr-pow`
115×	`*-un-lft-identity`
84×	`unpow2`
56×	`cube-prod`
52×	`distribute-lft-out--`
39×	`add-cube-cbrt`
22×	`associate-/r*`
14×	`cube-mult` `distribute-rgt-out--` `unpow3`
13×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--`
2×	`pow1` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 360

Calls

2 calls:

20.0ms	(- (pow x 6) (pow x 4))
169.0ms	(/ (- (pow x 6) (pow x 4)) (- (pow x 3) (pow x 2)))

series342.0ms

Counts

2 → 6

Calls

2 calls:

128.0ms	(- (pow x 6) (pow x 4))
214.0ms	(/ (- (pow x 6) (pow x 4)) (- (pow x 3) (pow x 2)))

simplify1.6s

Counts

366 → 366

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	535	11507
1	1126	10421
2	2197	9305
done	5002	9011

prune485.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes12.0ms

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	4	7
1	6	7
done	6	7

end0.0ms

sample472.0ms

Algorithm

intervals

Results

166.0ms	8000×	body	80	valid
107.0ms	8000×	pre	80	true