Details

sample37.0ms

Algorithm

intervals

Results

25.0ms

256×

body

valid

simplify521.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
3	579
2	148
1	36
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.2b

localize26.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
21.1b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

56×	`frac-times`
54×	`flip3-+` `flip-+`
28×	`add-cbrt-cube` `associate-*l/` `add-exp-log`
26×	`associate-/r/`
16×	`associate-*r/`
12×	`prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity`
7×	`pow1`
6×	`cbrt-undiv` `div-exp`
5×	`associate-r`
4×	`add-sqr-sqrt`
3×	`pow-prod-down` `add-cube-cbrt` `distribute-lft-out`
2×	`insert-posit16` `add-log-exp`
1×	`distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `times-frac` `associate-l` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 102

Calls

2 calls:

114.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
48.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series284.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
239.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify397.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	2002
1	852
0	196

prune462.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.8b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ (+ x y) 1.0))
0.1b	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
20.2b	(/ x (* (+ x y) (+ x y)))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
40×	`times-frac`
36×	`add-sqr-sqrt`
31×	`add-cbrt-cube` `add-exp-log`
26×	`add-cube-cbrt`
21×	`associate-r` `distribute-lft-out`
20×	`associate-/r/`
15×	`associate-l`
14×	`flip3-+` `flip-+`
10×	`cbrt-undiv` `div-exp`
9×	`frac-times` `prod-exp` `cbrt-unprod`
6×	`associate-/r` `associate-/l`
5×	`pow1` `associate-l/` `associate-r/`
4×	`div-inv` `unswap-sqr`
3×	`insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `*-commutative`

Counts

3 → 133

Calls

3 calls:

26.0ms	(/ y (+ (+ x y) 1.0))
109.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
17.0ms	(/ x (* (+ x y) (+ x y)))

series349.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ y (+ (+ x y) 1.0))
205.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
76.0ms	(/ x (* (+ x y) (+ x y)))

simplify456.0ms

Counts

142 → 142

Iterations

Iter	Nodes
done	2001
1	599
0	196

prune470.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ y (+ (+ x y) 1.0))
0.0b	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
0.2b	(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 203

Calls

4 calls:

12.0ms	(/ x (+ x y))
31.0ms	(/ y (+ (+ x y) 1.0))
70.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
108.0ms	(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series449.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ x (+ x y))
69.0ms	(/ y (+ (+ x y) 1.0))
138.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
193.0ms	(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify503.0ms

Counts

215 → 215

Iterations

Iter	Nodes
done	2000
1	820
0	265

prune695.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x y) 1.0))
0.1b	(* (* (/ x (+ x y)) y) (/ 1 (+ (+ x y) 1.0)))
0.2b	(* (/ 1 (+ x y)) (* (* (/ x (+ x y)) y) (/ 1 (+ (+ x y) 1.0))))
8.2b	(* (/ x (+ x y)) y)

rewrite304.0ms

Algorithm

rewrite-expression-head

Rules

277×	`add-exp-log`
154×	`prod-exp`
97×	`add-cbrt-cube`
87×	`*-un-lft-identity`
79×	`div-exp`
55×	`times-frac`
46×	`cbrt-unprod`
45×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
37×	`associate-l`
29×	`rec-exp` `1-exp`
27×	`distribute-lft-out`
25×	`associate-r`
24×	`cbrt-undiv`
21×	`pow1`
11×	`associate-*l/`
10×	`pow-prod-down`
8×	`associate-/r/`
7×	`frac-times` `associate-*r/`
5×	`associate-/r*`
4×	`flip3-+` `flip-+` `insert-posit16` `div-inv` `add-log-exp`
3×	`un-div-inv` `-commutative` `associate-/l`
2×	`unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-flip` `inv-pow`

Counts

4 → 241

Calls

4 calls:

35.0ms	(/ 1 (+ (+ x y) 1.0))
80.0ms	(* (* (/ x (+ x y)) y) (/ 1 (+ (+ x y) 1.0)))
164.0ms	(* (/ 1 (+ x y)) (* (* (/ x (+ x y)) y) (/ 1 (+ (+ x y) 1.0))))
17.0ms	(* (/ x (+ x y)) y)

series492.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ 1 (+ (+ x y) 1.0))
145.0ms	(* (* (/ x (+ x y)) y) (/ 1 (+ (+ x y) 1.0)))
225.0ms	(* (/ 1 (+ x y)) (* (* (/ x (+ x y)) y) (/ 1 (+ (+ x y) 1.0))))
73.0ms	(* (/ x (+ x y)) y)

simplify596.0ms

Counts

253 → 253

Iterations

Iter	Nodes
done	2000
1	810
0	302

prune581.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

8000×

body

valid