Details

sample94.0ms

Algorithm

intervals

Results

10.0ms	73×	body	1280	valid
7.0ms	164×	body	80	valid
6.0ms	54×	body	640	valid
2.0ms	28×	body	320	valid
1.0ms	14×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
7	2414
6	964
5	415
4	201
3	63
2	43
1	20
0	5

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x 2) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

14.0ms

(* (+ x 2) x)

series60.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(* (+ x 2) x)

simplify2.0s

Counts

25 → 25

Iterations

Iter	Nodes
4	4626
3	1130
2	337
1	111
0	43

prune92.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* x x) (* x x)) (* 8 x))
0.0b	(+ (* x x) (- (* 2 2) (* x 2)))
0.2b	(* (* x x) (* x x))
9.6b	(/ (+ (* (* x x) (* x x)) (* 8 x)) (+ (* x x) (- (* 2 2) (* x 2))))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

115×	`pow1`
36×	`pow-prod-up`
23×	`pow-prod-down`
22×	`pow-sqr`
18×	`pow-plus` `add-cbrt-cube` `add-exp-log`
13×	`pow2`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
11×	`add-log-exp`
9×	`times-frac`
8×	`prod-exp` `cbrt-unprod`
4×	`flip3-+` `flip-+` `insert-posit16`
3×	`associate-/r` `sum-log` `associate-/l`
2×	`+-commutative` `associate-+r+` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `associate-+r-` `sub-neg` `frac-2neg` `diff-log` `swap-sqr` `div-exp` `associate-r` `associate-l` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 124

Calls

4 calls:

20.0ms	(+ (* (* x x) (* x x)) (* 8 x))
13.0ms	(+ (* x x) (- (* 2 2) (* x 2)))
21.0ms	(* (* x x) (* x x))
72.0ms	(/ (+ (* (* x x) (* x x)) (* 8 x)) (+ (* x x) (- (* 2 2) (* x 2))))

series284.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ (* (* x x) (* x x)) (* 8 x))
19.0ms	(+ (* x x) (- (* 2 2) (* x 2)))
34.0ms	(* (* x x) (* x x))
147.0ms	(/ (+ (* (* x x) (* x x)) (* 8 x)) (+ (* x x) (- (* 2 2) (* x 2))))

simplify9.3s

Counts

136 → 136

Iterations

Iter	Nodes
3	13808
2	1905
1	408
0	140

prune657.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (* (* x x) (* x x)) (* 8 x)) (- (* (* x x) (* x x)) (* (- (* 2 2) (* x 2)) (- (* 2 2) (* x 2))))) (- (* x x) (- (* 2 2) (* x 2))))
0.2b	(* (* x x) (* x x))
0.2b	(* (* x x) (* x x))
10.0b	(/ (+ (* (* x x) (* x x)) (* 8 x)) (- (* (* x x) (* x x)) (* (- (* 2 2) (* x 2)) (- (* 2 2) (* x 2)))))

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

228×	`pow1`
72×	`pow-prod-up`
47×	`pow-prod-down`
44×	`pow-sqr`
36×	`pow-plus`
35×	`add-cbrt-cube` `add-exp-log`
28×	`add-sqr-sqrt`
26×	`pow2`
25×	`times-frac`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`associate-l`
18×	`prod-exp` `cbrt-unprod`
8×	`difference-of-squares`
6×	`associate-r`
4×	`associate-/r*` `flip3--` `associate-/r/` `insert-posit16` `flip--` `add-log-exp` `unswap-sqr`
3×	`distribute-rgt-in` `distribute-lft-in` `-commutative` `associate-/l`
2×	`frac-times` `cbrt-undiv` `sub-neg` `swap-sqr` `div-exp` `associate-*r/` `div-inv` `associate--r-` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3-+` `associate-*l/` `flip-+`

Counts

4 → 213

Calls

4 calls:

177.0ms	(* (/ (+ (* (* x x) (* x x)) (* 8 x)) (- (* (* x x) (* x x)) (* (- (* 2 2) (* x 2)) (- (* 2 2) (* x 2))))) (- (* x x) (- (* 2 2) (* x 2))))
21.0ms	(* (* x x) (* x x))
20.0ms	(* (* x x) (* x x))
83.0ms	(/ (+ (* (* x x) (* x x)) (* 8 x)) (- (* (* x x) (* x x)) (* (- (* 2 2) (* x 2)) (- (* 2 2) (* x 2)))))

series401.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(* (/ (+ (* (* x x) (* x x)) (* 8 x)) (- (* (* x x) (* x x)) (* (- (* 2 2) (* x 2)) (- (* 2 2) (* x 2))))) (- (* x x) (- (* 2 2) (* x 2))))
33.0ms	(* (* x x) (* x x))
32.0ms	(* (* x x) (* x x))
65.0ms	(/ (+ (* (* x x) (* x x)) (* 8 x)) (- (* (* x x) (* x x)) (* (- (* 2 2) (* x 2)) (- (* 2 2) (* x 2)))))

simplify749.0ms

Counts

225 → 225

Iterations

Iter	Nodes
2	3157
1	644
0	210

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes19.0ms

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
2	6
1	6
0	4

end0.0ms

sample1.2s

Algorithm

intervals

Results

436.0ms	1604×	body	640	valid
365.0ms	2302×	body	1280	valid
201.0ms	5529×	body	80	valid
86.0ms	824×	body	320	valid
21.0ms	398×	body	160	valid