Details

sample34.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.6b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.0b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.5b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite291.0ms

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:

35.0ms	(* (+ x y) (+ x y))
159.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
92.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series319.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(* (+ x y) (+ x y))
61.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
236.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.4s

Counts

152 → 152

Iterations

Iter	Nodes
done	5001
1	967
0	221

prune557.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.8b

localize27.0ms

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)))
20.5b	(/ x (* (+ x y) (+ x y)))

rewrite294.0ms

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:

52.0ms	(* (+ x y) (+ x y))
46.0ms	(/ y (+ (+ x y) 1.0))
168.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
18.0ms	(/ x (* (+ x y) (+ x y)))

series395.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (+ x y) (+ x y))
69.0ms	(/ y (+ (+ x y) 1.0))
215.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
94.0ms	(/ x (* (+ x y) (+ x y)))

simplify1.7s

Counts

186 → 186

Iterations

Iter	Nodes
done	5008
2	3183
1	721
0	221

prune752.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ y (+ (+ x y) 1.0))
0.1b	(* (/ 1 (+ x y)) (/ x (+ x y)))
0.1b	(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

rewrite296.0ms

Algorithm

rewrite-expression-head

Rules

105×	`*-un-lft-identity`
103×	`add-exp-log`
73×	`times-frac`
65×	`add-sqr-sqrt`
61×	`add-cbrt-cube`
48×	`add-cube-cbrt`
42×	`prod-exp`
39×	`associate-r`
35×	`div-exp`
31×	`distribute-lft-out`
22×	`cbrt-unprod`
19×	`cbrt-undiv` `associate-l`
11×	`pow1`
10×	`associate-/r/`
9×	`associate-/r*`
6×	`frac-times` `rec-exp` `1-exp` `associate-l/` `associate-/l` `unswap-sqr`
5×	`flip3-+` `flip-+` `div-inv`
4×	`pow-prod-down` `associate-*r/` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative`

Counts

4 → 207

Calls

4 calls:

15.0ms	(/ x (+ x y))
39.0ms	(/ y (+ (+ x y) 1.0))
65.0ms	(* (/ 1 (+ x y)) (/ x (+ x y)))
168.0ms	(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

series473.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ x (+ x y))
56.0ms	(/ y (+ (+ x y) 1.0))
118.0ms	(* (/ 1 (+ x y)) (/ x (+ x y)))
235.0ms	(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

simplify1.9s

Counts

219 → 219

Iterations

Iter	Nodes
done	5013
2	3377
1	842
0	270

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(/ (/ x (+ x y)) (+ x y))
0.1b	(/ (* (/ (/ x (+ x y)) (+ x y)) y) (+ (+ x y) 1.0))
7.5b	(* (/ (/ x (+ x y)) (+ x y)) y)

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

272×	`*-un-lft-identity` `times-frac`
135×	`add-sqr-sqrt`
126×	`add-cube-cbrt`
78×	`associate-l`
74×	`distribute-lft-out`
34×	`add-cbrt-cube` `add-exp-log`
26×	`associate-/r/`
22×	`associate-/l*`
14×	`cbrt-undiv` `div-exp`
13×	`associate-/r*` `flip3-+` `flip-+` `div-inv`
6×	`pow1` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `unswap-sqr`
2×	`associate-*l/` `associate-/l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 280

Calls

4 calls:

19.0ms	(/ x (+ x y))
34.0ms	(/ (/ x (+ x y)) (+ x y))
89.0ms	(/ (* (/ (/ x (+ x y)) (+ x y)) y) (+ (+ x y) 1.0))
93.0ms	(* (/ (/ x (+ x y)) (+ x y)) y)

series517.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ x (+ x y))
93.0ms	(/ (/ x (+ x y)) (+ x y))
260.0ms	(/ (* (/ (/ x (+ x y)) (+ x y)) y) (+ (+ x y) 1.0))
109.0ms	(* (/ (/ x (+ x y)) (+ x y)) y)

simplify2.2s

Counts

292 → 292

Iterations

Iter	Nodes
done	5000
2	2765
1	834
0	304

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample746.0ms

Algorithm

intervals

Results

585.0ms

8000×

body

valid