Details

sample33.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify13.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize15.0ms

Local error

Found 1 expressions with local error:

12.9b

(/ x (+ (* x x) 1.0))

rewrite20.0ms

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:

18.0ms

(/ x (+ (* x x) 1.0))

series108.0ms

Counts

1 → 3

Calls

1 calls:

108.0ms

(/ x (+ (* x x) 1.0))

simplify5.6s

Counts

33 → 33

Iterations

Iter	Nodes
done	5272
3	3188
2	709
1	184
0	75

prune318.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize107.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) (* x x))
0.4b	(/ x (+ (* 1.0 (* 1.0 1.0)) (* (* x x) (* (* x x) (* x x)))))
11.0b	(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
23.0b	(* (/ x (+ (* 1.0 (* 1.0 1.0)) (* (* x x) (* (* x x) (* x x))))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

117×	`pow1`
36×	`pow-prod-up`
27×	`add-sqr-sqrt`
25×	`times-frac`
24×	`pow-prod-down`
23×	`add-cbrt-cube` `add-exp-log`
22×	`*-un-lft-identity` `pow-sqr` `add-cube-cbrt`
19×	`associate-l`
18×	`pow-plus`
14×	`cube-unmult`
13×	`pow2`
10×	`prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`sum-cubes`
5×	`flip3-+` `flip-+`
4×	`associate-/r` `associate-r*` `associate-/r/` `insert-posit16`
3×	`associate-/l*` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `associate-+r+` `sum-log` `div-exp` `associate-r/` `-commutative` `div-inv`
1×	`distribute-rgt-in` `+-commutative` `clear-num` `associate-+r-` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `swap-sqr` `associate-*l/`

Counts

4 → 158

Calls

4 calls:

49.0ms	(* (* x x) (* x x))
371.0ms	(/ x (+ (* 1.0 (* 1.0 1.0)) (* (* x x) (* (* x x) (* x x)))))
88.0ms	(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
1.1s	(* (/ x (+ (* 1.0 (* 1.0 1.0)) (* (* x x) (* (* x x) (* x x))))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

series704.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* x x) (* x x))
385.0ms	(/ x (+ (* 1.0 (* 1.0 1.0)) (* (* x x) (* (* x x) (* x x)))))
74.0ms	(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
179.0ms	(* (/ x (+ (* 1.0 (* 1.0 1.0)) (* (* x x) (* (* x x) (* x x))))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

simplify9.6s

Counts

170 → 170

Iterations

Iter	Nodes
done	5000
2	4522
1	815
0	226

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) x)
0.2b	(/ 1.0 (pow x 5))
0.3b	(/ 1.0 (* (* x x) x))
21.4b	(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (* (* x x) x))))

rewrite324.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `times-frac`
23×	`pow1` `add-exp-log` `add-cube-cbrt`
20×	`add-cbrt-cube`
12×	`unpow-prod-down`
9×	`add-log-exp`
8×	`associate-/r*`
6×	`pow-plus` `div-exp` `prod-exp` `pow-prod-up` `cbrt-unprod` `associate-/l*`
4×	`cbrt-undiv` `insert-posit16` `sqr-pow`
3×	`associate-r` `pow-prod-down` `frac-add` `div-inv` `distribute-lft-out`
2×	`pow2` `associate-+r+` `clear-num` `sum-log` `frac-2neg` `pow-sqr` `distribute-lft-out--`
1×	`pow-to-exp` `+-commutative` `associate-+r-` `sub-neg` `flip3-+` `flip3--` `diff-log` `associate-l` `pow3` `pow-exp` `*-commutative` `frac-sub` `flip-+` `flip--` `unswap-sqr`

Counts

4 → 121

Calls

4 calls:

36.0ms	(* (* x x) x)
21.0ms	(/ 1.0 (pow x 5))
29.0ms	(/ 1.0 (* (* x x) x))
230.0ms	(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (* (* x x) x))))

series304.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (* x x) x)
95.0ms	(/ 1.0 (pow x 5))
62.0ms	(/ 1.0 (* (* x x) x))
92.0ms	(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (* (* x x) x))))

simplify3.6s

Counts

133 → 133

Iterations

Iter	Nodes
done	5000
2	2013
1	516
0	197

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes115.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 26.7b

bsearch129.0ms

Steps

Iters	Range		Point
10	1.508099977930646e-06	2590629949647.022	520.0181111297961
8	-5.081201493801851e+17	-59395680937481.68	-1705237591405488.8

simplify23.0ms

Iterations

Iter	Nodes
done	41
1	41
0	28

end0.0ms

sample470.0ms

Algorithm

intervals

Results

292.0ms

8000×

body

valid