Details

sample26.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5007
4	2576
3	619
2	156
1	36
0	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.8b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite237.0ms

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:

25.0ms	(* (+ x y) (+ x y))
131.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
75.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series351.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (+ x y) (+ x y))
69.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
254.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.1s

Counts

158 → 158

Iterations

Iter	Nodes
done	5001
1	987
0	227

prune566.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 7.8b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ x y) 1.0))
0.0b	(* (+ x y) (+ x y))
0.1b	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
19.2b	(/ x (* (+ x y) (+ x y)))

rewrite228.0ms

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:

36.0ms	(/ y (+ (+ x y) 1.0))
37.0ms	(* (+ x y) (+ x y))
131.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
19.0ms	(/ x (* (+ x y) (+ x y)))

series442.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ y (+ (+ x y) 1.0))
25.0ms	(* (+ x y) (+ x y))
250.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
100.0ms	(/ x (* (+ x y) (+ x y)))

simplify2.1s

Counts

194 → 194

Iterations

Iter	Nodes
done	5062
2	3481
1	746
0	229

prune678.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite177.0ms

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:

31.0ms	(/ y (+ (+ x y) 1.0))
10.0ms	(/ x (+ x y))
24.0ms	(/ (/ x (+ x y)) (+ x y))
100.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series410.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ y (+ (+ x y) 1.0))
57.0ms	(/ x (+ x y))
71.0ms	(/ (/ x (+ x y)) (+ x y))
227.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify1.8s

Counts

334 → 334

Iterations

Iter	Nodes
done	5020
2	4206
1	1043
0	341

prune934.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(/ (* (/ (/ x (+ x y)) (+ x y)) y) (+ (+ x y) 1.0))
0.1b	(/ (/ x (+ x y)) (+ x y))
6.9b	(* (/ (/ x (+ x y)) (+ x y)) y)

rewrite136.0ms

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

Counts

4 → 288

Calls

4 calls:

16.0ms	(/ x (+ x y))
41.0ms	(/ (* (/ (/ x (+ x y)) (+ x y)) y) (+ (+ x y) 1.0))
26.0ms	(/ (/ x (+ x y)) (+ x y))
45.0ms	(* (/ (/ x (+ x y)) (+ x y)) y)

series532.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ x (+ x y))
231.0ms	(/ (* (/ (/ x (+ x y)) (+ x y)) y) (+ (+ x y) 1.0))
106.0ms	(/ (/ x (+ x y)) (+ x y))
141.0ms	(* (/ (/ x (+ x y)) (+ x y)) y)

simplify1.5s

Counts

300 → 300

Iterations

Iter	Nodes
done	5007
2	3073
1	847
0	312

prune962.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.2b 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	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

913.0ms

8000×

body

valid