Details

sample24.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify17.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	25
3	25
2	24
1	14
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize17.0ms

Local error

Found 1 expressions with local error:

14.9b

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 28

Calls

1 calls:

51.0ms

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

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

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

simplify1.1s

Counts

31 → 31

Iterations

Iter	Nodes
done	5000
2	807
1	215
0	74

prune103.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

8.2b	(/ (/ (+ x y) (* x 2.0)) y)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

40×	`times-frac`
26×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`distribute-lft-out`
3×	`associate-/r*`
1×	`pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp` `associate-/l/`

Counts

1 → 53

Calls

1 calls:

26.0ms

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

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

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

simplify1.1s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
2	1064
1	297
0	119

prune162.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (/ (+ x y) 2.0) y)
9.1b	(* (/ 1 x) (/ (/ (+ x y) 2.0) y))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

204×	`times-frac`
144×	`*-un-lft-identity`
129×	`add-sqr-sqrt`
99×	`add-cube-cbrt`
52×	`associate-r`
46×	`add-exp-log`
28×	`add-cbrt-cube`
21×	`div-exp` `distribute-lft-out`
16×	`associate-/l*`
13×	`associate-l`
12×	`cbrt-undiv` `prod-exp`
10×	`div-inv`
9×	`unswap-sqr`
6×	`cbrt-unprod`
4×	`pow1`
3×	`rec-exp` `associate-/r*` `1-exp`
2×	`insert-posit16` `add-log-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

2 → 188

Calls

2 calls:

36.0ms	(/ (/ (+ x y) 2.0) y)
64.0ms	(* (/ 1 x) (/ (/ (+ x y) 2.0) y))

series114.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (/ (+ x y) 2.0) y)
76.0ms	(* (/ 1 x) (/ (/ (+ x y) 2.0) y))

simplify1.2s

Counts

194 → 194

Iterations

Iter	Nodes
done	5008
2	2602
1	845
0	279

prune547.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
8.8b	(* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (/ (cbrt (+ x y)) 2.0) y))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

155×	`times-frac`
103×	`add-sqr-sqrt`
101×	`*-un-lft-identity`
79×	`associate-r`
77×	`add-cube-cbrt`
50×	`cbrt-prod`
40×	`add-exp-log`
31×	`add-cbrt-cube`
15×	`cbrt-undiv` `div-exp`
12×	`prod-exp` `cbrt-unprod` `distribute-lft-out`
8×	`unswap-sqr`
7×	`associate-l`
6×	`pow1` `cbrt-div`
5×	`div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`flip3-+` `pow1/3` `flip-+`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 170

Calls

4 calls:

5.0ms	(cbrt (+ x y))
5.0ms	(cbrt (+ x y))
5.0ms	(cbrt (+ x y))
133.0ms	(* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (/ (cbrt (+ x y)) 2.0) y))

series599.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (+ x y))
160.0ms	(cbrt (+ x y))
166.0ms	(cbrt (+ x y))
103.0ms	(* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (/ (cbrt (+ x y)) 2.0) y))

simplify2.7s

Counts

182 → 182

Iterations

Iter	Nodes
done	5015
2	4485
1	1072
0	313

prune691.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes62.0ms

Accuracy

98.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 7.8b

bsearch88.0ms

Steps

Iters	Range		Point
10	5.274962218715483e-45	8.812428053841386e-34	3.49698992568305e-34
10	-524937.0299516014	-3.8822111449762154e-05	-28977.221790386797

simplify5.0ms

Iterations

Iter	Nodes
done	26
1	26
0	18

end0.0ms

sample595.0ms

Algorithm

intervals

Results

448.0ms

8000×

body

valid