Details

sample48.0ms

Algorithm

intervals

Results

19.0ms

451×

body

valid

simplify54.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	25
3	25
2	24
1	15
0	8

prune38.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+l+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`

Counts

1 → 14

Calls

1 calls:

46.0ms

(+ (+ (* x 2.0) (* x x)) (* y y))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(+ (+ (* x 2.0) (* x x)) (* y y))

simplify6.4s

Counts

17 → 17

Iterations

Iter	Nodes
done	5055
3	3902
2	707
1	130
0	43

prune163.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.1b	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

rewrite359.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
14×	`sqrt-div` `add-log-exp`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
8×	`swap-sqr`
6×	`sum-log` `add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`frac-times` `insert-posit16` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-+l+` `associate-l/` `associate-r/`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

53.0ms	(sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))
52.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
36.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
211.0ms	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

series406.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))
73.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
70.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
65.0ms	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

simplify8.2s

Counts

114 → 114

Iterations

Iter	Nodes
done	5008
3	4529
2	896
1	266
0	112

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize150.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y y) y)
0.2b	(* (* y y) (* y y))
1.4b	(+ (* (* (+ 2.0 x) x) (- (* (+ 2.0 x) x) (* y y))) (* (* y y) (* y y)))
37.6b	(/ (+ (* (* (* (+ 2.0 x) x) (* (+ 2.0 x) x)) (* (+ 2.0 x) x)) (* (* (* y y) y) (* (* y y) y))) (+ (* (* (+ 2.0 x) x) (- (* (+ 2.0 x) x) (* y y))) (* (* y y) (* y y))))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

134×	`pow1`
42×	`pow-prod-up`
30×	`pow-prod-down`
24×	`pow-plus` `pow-sqr`
23×	`add-cbrt-cube` `add-exp-log`
15×	`pow2` `add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`pow3`
12×	`times-frac`
11×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
4×	`associate-+l+` `associate-r` `sum-cubes` `insert-posit16` `associate-/l*`
3×	`associate-/r*` `flip3-+` `flip-+`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `associate-/r/` `*-commutative` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `swap-sqr` `div-exp` `div-inv`

Counts

4 → 145

Calls

4 calls:

27.0ms	(* (* y y) y)
43.0ms	(* (* y y) (* y y))
142.0ms	(+ (* (* (+ 2.0 x) x) (- (* (+ 2.0 x) x) (* y y))) (* (* y y) (* y y)))
1.5s	(/ (+ (* (* (* (+ 2.0 x) x) (* (+ 2.0 x) x)) (* (+ 2.0 x) x)) (* (* (* y y) y) (* (* y y) y))) (+ (* (* (+ 2.0 x) x) (- (* (+ 2.0 x) x) (* y y))) (* (* y y) (* y y))))

series677.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (* y y) y)
72.0ms	(* (* y y) (* y y))
217.0ms	(+ (* (* (+ 2.0 x) x) (- (* (+ 2.0 x) x) (* y y))) (* (* y y) (* y y)))
313.0ms	(/ (+ (* (* (* (+ 2.0 x) x) (* (+ 2.0 x) x)) (* (+ 2.0 x) x)) (* (* (* y y) y) (* (* y y) y))) (+ (* (* (+ 2.0 x) x) (- (* (+ 2.0 x) x) (* y y))) (* (* y y) (* y y))))

simplify4.1s

Counts

157 → 157

Iterations

Iter	Nodes
done	5000
2	1738
1	493
0	180

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes679.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

789.0ms

14275×

body

valid