Details

sample30.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	2550
3	606
2	152
1	36
0	9

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.0b

localize59.0ms

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)))

rewrite486.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 149

Calls

3 calls:

90.0ms	(* (+ x y) (+ x y))
238.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
137.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series347.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* (+ x y) (+ x y))
71.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
248.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify2.1s

Counts

158 → 158

Iterations

Iter	Nodes
done	5002
1	989
0	227

prune1.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.4b

localize34.0ms

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)))

rewrite397.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 182

Calls

4 calls:

45.0ms	(* (+ x y) (+ x y))
70.0ms	(/ y (+ (+ x y) 1.0))
235.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
28.0ms	(/ x (* (+ x y) (+ x y)))

series476.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (+ x y) (+ x y))
84.0ms	(/ y (+ (+ x y) 1.0))
250.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
109.0ms	(/ x (* (+ x y) (+ x y)))

simplify5.0s

Counts

194 → 194

Iterations

Iter	Nodes
done	5007
2	3179
1	737
0	229

prune1.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

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)))

rewrite454.0ms

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

Counts

4 → 322

Calls

4 calls:

20.0ms	(/ x (+ x y))
56.0ms	(/ y (+ (+ x y) 1.0))
41.0ms	(/ (/ x (+ x y)) (+ x y))
285.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series569.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ x (+ x y))
66.0ms	(/ y (+ (+ x y) 1.0))
152.0ms	(/ (/ x (+ x y)) (+ x y))
294.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify6.1s

Counts

334 → 334

Iterations

Iter	Nodes
done	5001
2	3795
1	1044
0	341

prune3.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize39.0ms

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

rewrite403.0ms

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:

28.0ms	(/ x (+ x y))
67.0ms	(/ y (+ (+ x y) 1.0))
213.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
77.0ms	(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

series669.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ x (+ x y))
79.0ms	(/ y (+ (+ x y) 1.0))
185.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
313.0ms	(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

simplify4.6s

Counts

191 → 191

Iterations

Iter	Nodes
done	5013
2	2760
1	680
0	226

prune1.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes371.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	16
1	16
0	11

end0.0ms

sample843.0ms

Algorithm

intervals

Results

569.0ms

8000×

body

valid