Details

sample57.0ms

Algorithm

intervals

Results

28.0ms

256×

body

valid

simplify5.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5011
4	2278
3	579
2	148
1	36
0	9

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize91.0ms

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)))

rewrite603.0ms

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:

82.0ms	(* (+ x y) (+ x y))
320.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
172.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series388.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(* (+ x y) (+ x y))
72.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
291.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify2.5s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
1	966
0	221

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 8.8b

localize107.0ms

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)

rewrite962.0ms

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:

93.0ms	(* (+ x y) (+ x y))
403.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
203.0ms	(/ x (/ (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)) y))
240.0ms	(/ (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)) y)

series533.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ x y) (+ x y))
95.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
307.0ms	(/ x (/ (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)) y))
94.0ms	(/ (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)) y)

simplify3.5s

Counts

204 → 204

Iterations

Iter	Nodes
done	5000
1	1081
0	295

prune2.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize230.0ms

Local error

Found 4 expressions with local error:

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

rewrite395.0ms

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:

4.0ms	(cbrt x)
38.0ms	(/ (cbrt x) (/ (+ y x) (cbrt y)))
54.0ms	(/ (cbrt x) (/ (+ y x) (cbrt y)))
147.0ms	(/ (cbrt x) (/ (+ (+ x y) 1.0) (cbrt y)))

series2.0s

Counts

4 → 12

Calls

4 calls:

300.0ms	(cbrt x)
537.0ms	(/ (cbrt x) (/ (+ y x) (cbrt y)))
576.0ms	(/ (cbrt x) (/ (+ y x) (cbrt y)))
602.0ms	(/ (cbrt x) (/ (+ (+ x y) 1.0) (cbrt y)))

simplify7.6s

Counts

720 → 720

Iterations

Iter	Nodes
done	5003
2	3545
1	1383
0	524

prune6.7s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.0b

localize410.0ms

Local error

Found 4 expressions with local error:

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

rewrite317.0ms

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:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
58.0ms	(/ (cbrt x) (/ (+ y x) (cbrt y)))
166.0ms	(/ (cbrt x) (/ (+ (+ x y) 1.0) (cbrt y)))

series1.9s

Counts

4 → 12

Calls

4 calls:

324.0ms	(cbrt x)
334.0ms	(cbrt x)
582.0ms	(/ (cbrt x) (/ (+ y x) (cbrt y)))
639.0ms	(/ (cbrt x) (/ (+ (+ x y) 1.0) (cbrt y)))

simplify7.6s

Counts

514 → 514

Iterations

Iter	Nodes
done	5003
2	3545
1	1383
0	524

prune5.3s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.0b

regimes860.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify20.0ms

Iterations

Iter	Nodes
done	28
1	28
0	22

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

8000×

body

valid