Details

sample26.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
6.0ms	256×	pre	80	true

simplify951.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2004
8	2004
7	1183
6	419
5	157
4	80
3	43
2	26
1	13
0	4

prune3.0ms

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))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`insert-posit16`
1×	`pow2` `+-commutative` `sum-log` `distribute-lft1-in` `flip3-+` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

18.0ms	(+ (* x (* x x)) (* x x))
21.0ms	(* x (* x x))

series118.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(+ (* x (* x x)) (* x x))
34.0ms	(* x (* x x))

simplify987.0ms

Counts

45 → 45

Iterations

Iter	Nodes
done	2031
3	2031
2	508
1	155
0	59

prune246.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `associate-r`
4×	`*-un-lft-identity`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft1-in` `flip3-+` `distribute-rgt-out` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

22.0ms

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

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

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

simplify880.0ms

Counts

28 → 28

Iterations

Iter	Nodes
done	2007
3	2007
2	741
1	159
0	45

prune157.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (* x x) x))
0.0b	(sqrt (+ (* x x) x))
0.2b	(* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))
0.2b	(* x (sqrt (+ (* x x) x)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

21×	`sqrt-prod`
18×	`sqrt-div`
17×	`add-sqr-sqrt`
16×	`associate-r`
15×	`*-un-lft-identity`
13×	`pow1`
11×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `distribute-lft1-in` `distribute-rgt-out` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

10.0ms	(sqrt (+ (* x x) x))
10.0ms	(sqrt (+ (* x x) x))
74.0ms	(* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))
24.0ms	(* x (sqrt (+ (* x x) x)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(sqrt (+ (* x x) x))
29.0ms	(sqrt (+ (* x x) x))
66.0ms	(* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))
53.0ms	(* x (sqrt (+ (* x x) x)))

simplify970.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	2001
3	2001
2	1127
1	344
0	124

prune604.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	4

end0.0ms

sample682.0ms

Algorithm

intervals

Results

370.0ms	8000×	body	80	valid
210.0ms	8000×	pre	80	true