Details

sample18.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	2438
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

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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:

22.0ms	(+ (* x (* x x)) (* x x))
21.0ms	(* x (* x x))

series141.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(+ (* x (* x x)) (* x x))
47.0ms	(* x (* x x))

simplify1.7s

Counts

45 → 45

Iterations

Iter	Nodes
done	5006
3	2169
2	508
1	155
0	59

prune110.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (* x x))
0.1b	(* (* (+ (* x (* x x)) (* x x)) (+ (* x (* x x)) (* x x))) (+ (* x (* x x)) (* x x)))
0.1b	(* (+ (* x (* x x)) (* x x)) (+ (* x (* x x)) (* x x)))
22.8b	(cbrt (* (* (+ (* x (* x x)) (* x x)) (+ (* x (* x x)) (* x x))) (+ (* x (* x x)) (* x x))))

rewrite506.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times` `flip3-+` `flip-+`
44×	`pow1`
30×	`associate-*l/`
26×	`cbrt-div`
18×	`associate-*r/`
16×	`add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
12×	`pow-prod-up`
11×	`associate-r`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-l`
8×	`pow-plus`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`distribute-lft1-in` `swap-sqr` `distribute-lft-out`
4×	`pow2` `pow-sqr` `insert-posit16` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3`
1×	`cbrt-prod` `pow1/3` `cube-unmult` `rem-cbrt-cube`

Counts

4 → 163

Calls

4 calls:

13.0ms	(* x (* x x))
212.0ms	(* (* (+ (* x (* x x)) (* x x)) (+ (* x (* x x)) (* x x))) (+ (* x (* x x)) (* x x)))
121.0ms	(* (+ (* x (* x x)) (* x x)) (+ (* x (* x x)) (* x x)))
157.0ms	(cbrt (* (* (+ (* x (* x x)) (* x x)) (+ (* x (* x x)) (* x x))) (+ (* x (* x x)) (* x x))))

series166.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* x (* x x))
29.0ms	(* (* (+ (* x (* x x)) (* x x)) (+ (* x (* x x)) (* x x))) (+ (* x (* x x)) (* x x)))
27.0ms	(* (+ (* x (* x x)) (* x x)) (+ (* x (* x x)) (* x x)))
73.0ms	(cbrt (* (* (+ (* x (* x x)) (* x x)) (+ (* x (* x x)) (* x x))) (+ (* x (* x x)) (* x x))))

simplify2.0s

Counts

175 → 175

Iterations

Iter	Nodes
done	5002
2	2855
1	740
0	218

prune528.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (+ (* x (* x x)) (* x x)) (sqrt (+ (* x (* x x)) (* x x)))) (sqrt (+ (* x (* x x)) (* x x))))
22.8b	(cbrt (* (* (* (+ (* x (* x x)) (* x x)) (sqrt (+ (* x (* x x)) (* x x)))) (sqrt (+ (* x (* x x)) (* x x)))) (+ (* x (* x x)) (* x x))))
27.6b	(sqrt (+ (* x (* x x)) (* x x)))
27.6b	(sqrt (+ (* x (* x x)) (* x x)))

rewrite743.0ms

Algorithm

rewrite-expression-head

Rules

164×	`frac-times`
148×	`sqrt-div`
137×	`flip3-+` `flip-+`
82×	`associate-*l/`
80×	`cbrt-div`
34×	`associate-*r/`
20×	`pow1`
15×	`sqrt-prod`
12×	`add-sqr-sqrt`
9×	`add-cbrt-cube` `add-exp-log` `pow-prod-up`
8×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
6×	`sqrt-pow1` `pow1/2`
4×	`insert-posit16` `add-log-exp`
3×	`distribute-lft1-in` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out`
2×	`rem-sqrt-square` `pow3`
1×	`cbrt-prod` `pow-plus` `pow1/3` `associate-l` `*-commutative`

Counts

4 → 182

Calls

4 calls:

214.0ms	(* (* (+ (* x (* x x)) (* x x)) (sqrt (+ (* x (* x x)) (* x x)))) (sqrt (+ (* x (* x x)) (* x x))))
485.0ms	(cbrt (* (* (* (+ (* x (* x x)) (* x x)) (sqrt (+ (* x (* x x)) (* x x)))) (sqrt (+ (* x (* x x)) (* x x)))) (+ (* x (* x x)) (* x x))))
17.0ms	(sqrt (+ (* x (* x x)) (* x x)))
18.0ms	(sqrt (+ (* x (* x x)) (* x x)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* (+ (* x (* x x)) (* x x)) (sqrt (+ (* x (* x x)) (* x x)))) (sqrt (+ (* x (* x x)) (* x x))))
96.0ms	(cbrt (* (* (* (+ (* x (* x x)) (* x x)) (sqrt (+ (* x (* x x)) (* x x)))) (sqrt (+ (* x (* x x)) (* x x)))) (+ (* x (* x x)) (* x x))))
48.0ms	(sqrt (+ (* x (* x x)) (* x x)))
49.0ms	(sqrt (+ (* x (* x x)) (* x x)))

simplify2.6s

Counts

194 → 194

Iterations

Iter	Nodes
done	5001
2	4560
1	1427
0	425

prune659.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes49.0ms

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

sample752.0ms

Algorithm

intervals

Results

412.0ms	8000×	body	80	valid
230.0ms	8000×	pre	80	true