Details

sample21.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
1	8
0	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize8.0ms

Local error

Found 1 expressions with local error:

14.6b

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

15.0ms

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

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

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

simplify988.0ms

Counts

33 → 33

Iterations

Iter	Nodes
done	2011
3	2011
2	562
1	163
0	69

prune90.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (sqrt (+ (* x x) 1)))
0.0b	(/ (/ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))
14.6b	(sqrt (+ (* x x) 1))
14.6b	(sqrt (+ (* x x) 1))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
164×	`add-sqr-sqrt`
162×	`*-un-lft-identity` `add-cube-cbrt`
156×	`sqrt-prod`
27×	`associate-/l*`
22×	`sqrt-div`
18×	`associate-/r/`
12×	`associate-/r*`
11×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
9×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2`
1×	`associate-/l/`

Counts

4 → 266

Calls

4 calls:

19.0ms	(/ x (sqrt (+ (* x x) 1)))
35.0ms	(/ (/ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))
7.0ms	(sqrt (+ (* x x) 1))
7.0ms	(sqrt (+ (* x x) 1))

series210.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(/ x (sqrt (+ (* x x) 1)))
51.0ms	(/ (/ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))
38.0ms	(sqrt (+ (* x x) 1))
33.0ms	(sqrt (+ (* x x) 1))

simplify1.5s

Counts

278 → 278

Iterations

Iter	Nodes
done	2001
3	2001
2	1722
1	754
0	321

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 x) (/ (/ 1 x) (* x x)))
0.1b	(/ 1 (pow x 5))
0.1b	(/ (/ 1 x) (* x x))
18.8b	(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (pow x 5)))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
65×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
35×	`add-exp-log`
34×	`add-cube-cbrt`
18×	`pow1` `add-cbrt-cube` `div-exp`
16×	`associate-/l*`
12×	`unpow-prod-down` `difference-of-squares`
11×	`add-log-exp`
10×	`div-inv`
8×	`associate-/r*` `pow-div`
7×	`cbrt-undiv`
6×	`distribute-lft-out` `distribute-lft-out--`
5×	`rec-exp` `1-exp` `pow-flip` `inv-pow`
4×	`prod-exp` `insert-posit16` `sqr-pow`
3×	`pow-to-exp` `frac-add` `pow-exp`
2×	`pow2` `associate-+l+` `clear-num` `sum-log` `sub-neg` `frac-2neg` `pow-plus` `flip3--` `diff-log` `pow-sqr` `pow-prod-up` `frac-sub` `cbrt-unprod` `flip--`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+` `associate-/l/`

Counts

4 → 166

Calls

4 calls:

19.0ms	(- (/ 1 x) (/ (/ 1 x) (* x x)))
9.0ms	(/ 1 (pow x 5))
18.0ms	(/ (/ 1 x) (* x x))
107.0ms	(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (pow x 5)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (/ 1 x) (/ (/ 1 x) (* x x)))
84.0ms	(/ 1 (pow x 5))
46.0ms	(/ (/ 1 x) (* x x))
49.0ms	(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (pow x 5)))

simplify1.6s

Counts

178 → 178

Iterations

Iter	Nodes
done	2031
3	2031
2	1869
1	581
0	263

prune612.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.0b

bsearch94.0ms

Steps

Iters	Range		Point
11	5.037382729650074e-10	1937402784720.5117	11907527.731338572
7	-4836831.514196925	-44481.00103279522	-2678435.1094305497

simplify8.0ms

Iterations

Iter	Nodes
done	25
1	25
0	18

end0.0ms

sample652.0ms

Algorithm

intervals

Results

539.0ms

8000×

body

valid