Details

sample11.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
2.0ms	256×	pre	80	true

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	4	9
1	13	7
2	26	7
3	39	7
4	57	7
5	112	7
6	206	7
7	580	7
8	1868	7
done	5000	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

7.0ms	(+ (* x (* x x)) (* x x))
6.0ms	(* x (* x x))

series103.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(+ (* x (* x x)) (* x x))
39.0ms	(* x (* x x))

simplify1.9s

Counts

43 → 43

Iterations

Useful iterations: 3 (509.0ms)

Iter	Nodes	Cost
0	57	384
1	139	260
2	466	227
3	2198	225
done	5000	225

prune63.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x 1) (* x x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

13.0ms

(* (+ x 1) (* x x))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(* (+ x 1) (* x x))

simplify2.4s

Counts

25 → 25

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	43	249
1	122	232
2	399	200
3	1607	197
done	5000	196

prune40.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (pow x 2) 1) x)
0.0b	(* (pow x 4) (- (+ (pow x 2) 1) x))
0.1b	(pow (pow x 3) 3)
51.0b	(/ (+ (pow x 6) (pow (pow x 3) 3)) (* (pow x 4) (- (+ (pow x 2) 1) x)))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`unpow-prod-down`
21×	`add-exp-log`
18×	`cube-prod`
16×	`add-cube-cbrt`
12×	`add-cbrt-cube`
9×	`add-log-exp`
7×	`associate-l`
6×	`associate-r` `pow-exp` `prod-exp`
5×	`sqr-pow`
4×	`pow1` `pow-to-exp` `times-frac` `associate-r/` `div-exp` `distribute-lft-out` `associate-/l` `distribute-lft-out--`
3×	`distribute-rgt-in` `cube-mult` `sub-neg` `pow-unpow` `flip3--` `distribute-lft-in` `unpow3` `associate--l+` `flip--` `unswap-sqr`
2×	`cbrt-undiv` `diff-log` `associate-/r/` `cbrt-unprod` `associate-/l/` `difference-of-squares`
1×	`pow-pow` `frac-2neg` `flip3-+` `clear-num` `associate-/r` `sum-log` `-commutative` `flip-+` `div-inv` `rem-cube-cbrt`

Counts

4 → 125

Calls

4 calls:

46.0ms	(- (+ (pow x 2) 1) x)
90.0ms	(* (pow x 4) (- (+ (pow x 2) 1) x))
3.0ms	(pow (pow x 3) 3)
89.0ms	(/ (+ (pow x 6) (pow (pow x 3) 3)) (* (pow x 4) (- (+ (pow x 2) 1) x)))

series315.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (+ (pow x 2) 1) x)
30.0ms	(* (pow x 4) (- (+ (pow x 2) 1) x))
54.0ms	(pow (pow x 3) 3)
217.0ms	(/ (+ (pow x 6) (pow (pow x 3) 3)) (* (pow x 4) (- (+ (pow x 2) 1) x)))

simplify1.0s

Counts

137 → 137

Iterations

Useful iterations: 2 (324.0ms)

Iter	Nodes	Cost
0	175	2070
1	457	1862
2	1908	1677
done	5000	1677

prune297.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

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	5	7
1	9	7
done	9	7

end0.0ms

sample274.0ms

Algorithm

intervals

Results

112.0ms	8000×	body	80	valid
71.0ms	8000×	pre	80	true