Details

sample28.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify4.5s

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: 18.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
17.8b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite443.0ms

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:

78.0ms	(* (+ x y) (+ x y))
210.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
122.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series445.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(* (+ x y) (+ x y))
71.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
351.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify2.3s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
1	966
0	221

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.4b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.0b	(/ y (+ (+ x y) 1.0))
0.1b	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
19.3b	(/ x (* (+ x y) (+ x y)))

rewrite424.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
40×	`times-frac`
34×	`add-cbrt-cube` `add-exp-log`
31×	`add-cube-cbrt`
27×	`distribute-lft-out`
25×	`associate-r`
20×	`flip3-+` `associate-/r/` `flip-+`
19×	`associate-l`
13×	`frac-times` `pow1`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-l/` `associate-r/`
6×	`associate-/r` `swap-sqr` `associate-/l`
5×	`unswap-sqr`
4×	`insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-prod-down` `*-commutative`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 174

Calls

4 calls:

70.0ms	(* (+ x y) (+ x y))
66.0ms	(/ y (+ (+ x y) 1.0))
250.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
22.0ms	(/ x (* (+ x y) (+ x y)))

series486.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (+ x y) (+ x y))
65.0ms	(/ y (+ (+ x y) 1.0))
273.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
112.0ms	(/ x (* (+ x y) (+ x y)))

simplify5.1s

Counts

186 → 186

Iterations

Iter	Nodes
done	5121
2	3183
1	723
0	221

prune1.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite531.0ms

Algorithm

rewrite-expression-head

Rules

313×	`*-un-lft-identity`
303×	`times-frac`
163×	`add-sqr-sqrt`
142×	`add-cube-cbrt`
89×	`distribute-lft-out`
78×	`associate-l`
34×	`add-cbrt-cube` `add-exp-log`
28×	`associate-/r/`
24×	`associate-/l*`
21×	`associate-r`
14×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
13×	`associate-/r*`
6×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

4 → 314

Calls

4 calls:

22.0ms	(/ x (+ x y))
74.0ms	(/ y (+ (+ x y) 1.0))
68.0ms	(/ (/ x (+ x y)) (+ x y))
322.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series545.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ x (+ x y))
81.0ms	(/ y (+ (+ x y) 1.0))
112.0ms	(/ (/ x (+ x y)) (+ x y))
298.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify5.8s

Counts

326 → 326

Iterations

Iter	Nodes
done	5000
2	3718
1	1024
0	333

prune3.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite481.0ms

Algorithm

rewrite-expression-head

Rules

411×	`*-un-lft-identity`
351×	`times-frac`
177×	`add-sqr-sqrt`
156×	`add-cube-cbrt`
143×	`distribute-lft-out`
90×	`associate-r`
34×	`add-cbrt-cube` `add-exp-log`
28×	`associate-/r/`
27×	`associate-/l*`
18×	`associate-l`
14×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
13×	`associate-/r*`
6×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

4 → 338

Calls

4 calls:

15.0ms	(/ x (+ x y))
45.0ms	(/ y (+ 1.0 (+ x y)))
110.0ms	(/ (/ y (+ 1.0 (+ x y))) (+ x y))
256.0ms	(* (/ x (+ x y)) (/ (/ y (+ 1.0 (+ x y))) (+ x y)))

series657.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(/ x (+ x y))
95.0ms	(/ y (+ 1.0 (+ x y)))
187.0ms	(/ (/ y (+ 1.0 (+ x y))) (+ x y))
301.0ms	(* (/ x (+ x y)) (/ (/ y (+ 1.0 (+ x y))) (+ x y)))

simplify6.0s

Counts

350 → 350

Iterations

Iter	Nodes
done	5002
2	4068
1	1097
0	343

prune3.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes337.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

881.0ms

8000×

body

valid