Details

sample36.0ms

Algorithm

intervals

Results

25.0ms

256×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	3221
3	647
2	153
1	36
0	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.0b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times` `flip3-+` `flip-+`
31×	`add-cbrt-cube` `add-exp-log`
30×	`associate-*l/`
27×	`*-un-lft-identity`
26×	`associate-/r/`
18×	`associate-*r/`
15×	`pow1`
13×	`prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
9×	`associate-r` `distribute-lft-out`
8×	`add-cube-cbrt`
6×	`cbrt-undiv` `swap-sqr` `div-exp`
5×	`associate-l`
4×	`pow-prod-down`
3×	`insert-posit16` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `*-commutative` `unswap-sqr`
1×	`pow2` `clear-num` `associate-/r` `frac-2neg` `times-frac` `pow-plus` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l`

Counts

3 → 143

Calls

3 calls:

33.0ms	(* (+ x y) (+ x y))
103.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
59.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series342.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(* (+ x y) (+ x y))
70.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
248.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.4s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
1	983
0	221

prune511.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.8b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
6.3b	(/ x (/ (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)) y))
6.4b	(/ (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)) y)

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times` `flip3-+` `flip-+`
46×	`*-un-lft-identity`
36×	`times-frac`
34×	`add-cbrt-cube` `add-exp-log`
30×	`add-sqr-sqrt` `associate-*l/`
27×	`add-cube-cbrt`
26×	`associate-/l/`
18×	`associate-*r/`
16×	`pow1`
10×	`cbrt-undiv` `associate-/r*` `div-exp` `prod-exp` `cbrt-unprod`
9×	`associate-r` `distribute-lft-out`
6×	`swap-sqr` `div-inv`
5×	`associate-l`
4×	`pow-prod-down` `insert-posit16` `associate-/l*` `add-log-exp`
2×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `*-commutative` `unswap-sqr`
1×	`pow2` `pow-plus` `associate-/r/` `pow-sqr` `pow-prod-up`

Counts

4 → 192

Calls

4 calls:

34.0ms	(* (+ x y) (+ x y))
111.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
63.0ms	(/ x (/ (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)) y))
84.0ms	(/ (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)) y)

series337.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (+ x y) (+ x y))
43.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
196.0ms	(/ x (/ (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)) y))
81.0ms	(/ (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)) y)

simplify1.3s

Counts

204 → 204

Iterations

Iter	Nodes
done	5001
1	1094
0	295

prune995.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
3.8b	(/ (cbrt x) (/ (+ x y) (cbrt y)))
3.8b	(/ (cbrt x) (/ (+ x y) (cbrt y)))
3.8b	(/ (cbrt x) (/ (+ (+ x y) 1.0) (cbrt y)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

1086×	`times-frac`
898×	`*-un-lft-identity`
555×	`cbrt-prod`
520×	`add-sqr-sqrt` `add-cube-cbrt`
210×	`distribute-lft-out`
90×	`associate-/r*`
24×	`div-inv`
19×	`add-exp-log`
18×	`associate-/l*`
10×	`add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/r/`
1×	`pow1/3`

Counts

4 → 708

Calls

4 calls:

1.0ms	(cbrt x)
21.0ms	(/ (cbrt x) (/ (+ x y) (cbrt y)))
21.0ms	(/ (cbrt x) (/ (+ x y) (cbrt y)))
56.0ms	(/ (cbrt x) (/ (+ (+ x y) 1.0) (cbrt y)))

series1.5s

Counts

4 → 12

Calls

4 calls:

294.0ms	(cbrt x)
366.0ms	(/ (cbrt x) (/ (+ x y) (cbrt y)))
416.0ms	(/ (cbrt x) (/ (+ x y) (cbrt y)))
446.0ms	(/ (cbrt x) (/ (+ (+ x y) 1.0) (cbrt y)))

simplify1.9s

Counts

720 → 720

Iterations

Iter	Nodes
done	5000
1	1387
0	523

prune3.9s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.0b

localize93.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
3.8b	(/ (cbrt x) (/ (+ x y) (cbrt y)))
3.8b	(/ (cbrt x) (/ (+ (+ x y) 1.0) (cbrt y)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

750×	`times-frac`
652×	`*-un-lft-identity`
387×	`cbrt-prod`
358×	`add-sqr-sqrt` `add-cube-cbrt`
168×	`distribute-lft-out`
62×	`associate-/r*`
16×	`div-inv`
14×	`add-exp-log`
12×	`associate-/l*`
8×	`add-cbrt-cube`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow1/3` `associate-/r/`

Counts

4 → 502

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
11.0ms	(/ (cbrt x) (/ (+ x y) (cbrt y)))
31.0ms	(/ (cbrt x) (/ (+ (+ x y) 1.0) (cbrt y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

255.0ms	(cbrt x)
270.0ms	(cbrt x)
354.0ms	(/ (cbrt x) (/ (+ x y) (cbrt y)))
402.0ms	(/ (cbrt x) (/ (+ (+ x y) 1.0) (cbrt y)))

simplify1.7s

Counts

514 → 514

Iterations

Iter	Nodes
done	5000
1	1387
0	523

prune3.0s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

regimes276.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	28
1	28
0	23

end0.0ms

sample976.0ms

Algorithm

intervals

Results

809.0ms

8000×

body

valid