Details

sample25.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify455.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2002
3	606
2	152
1	36
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.2b

localize29.0ms

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)))

rewrite155.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 106

Calls

2 calls:

88.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
64.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series280.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
219.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify482.0ms

Counts

112 → 112

Iterations

Iter	Nodes
done	2001
1	871
0	200

prune700.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.5b

localize24.0ms

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)))

rewrite140.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `*-commutative`

Counts

3 → 139

Calls

3 calls:

35.0ms	(/ y (+ (+ x y) 1.0))
86.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
14.0ms	(/ x (* (+ x y) (+ x y)))

series335.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ y (+ (+ x y) 1.0))
203.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
75.0ms	(/ x (* (+ x y) (+ x y)))

simplify500.0ms

Counts

148 → 148

Iterations

Iter	Nodes
done	2002
1	626
0	202

prune486.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))))

rewrite241.0ms

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×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `*-commutative`

Counts

4 → 211

Calls

4 calls:

8.0ms	(/ x (+ x y))
21.0ms	(/ y (+ (+ x y) 1.0))
87.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
121.0ms	(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series456.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ x (+ x y))
55.0ms	(/ y (+ (+ x y) 1.0))
146.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
191.0ms	(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify580.0ms

Counts

223 → 223

Iterations

Iter	Nodes
done	2001
1	840
0	273

prune746.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
62×	`times-frac`
54×	`add-sqr-sqrt`
42×	`add-cube-cbrt`
38×	`add-cbrt-cube` `add-exp-log`
30×	`distribute-lft-out`
21×	`associate-r`
18×	`associate-l`
15×	`cbrt-undiv` `div-exp`
13×	`associate-/r*`
10×	`associate-/r/`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-/l*`
6×	`pow1`
5×	`flip3-+` `flip-+` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`clear-num` `frac-2neg` `associate-/l/`
2×	`frac-times` `associate-l/` `associate-r/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 179

Calls

4 calls:

10.0ms	(/ x (+ y x))
22.0ms	(/ y (+ (+ y x) 1.0))
77.0ms	(* (/ x (+ y x)) (/ y (+ (+ y x) 1.0)))
56.0ms	(/ (* (/ x (+ y x)) (/ y (+ (+ y x) 1.0))) (+ x y))

series500.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ x (+ y x))
62.0ms	(/ y (+ (+ y x) 1.0))
161.0ms	(* (/ x (+ y x)) (/ y (+ (+ y x) 1.0)))
225.0ms	(/ (* (/ x (+ y x)) (/ y (+ (+ y x) 1.0))) (+ x y))

simplify437.0ms

Counts

191 → 191

Iterations

Iter	Nodes
done	2000
1	730
0	240

prune579.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample1.1s

Algorithm

intervals

Results

865.0ms

8000×

body

valid