Details

sample32.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	2550
3	606
2	152
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)))

rewrite252.0ms

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:

45.0ms	(* (+ x y) (+ x y))
123.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
80.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series326.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(* (+ x y) (+ x y))
58.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
253.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.4s

Counts

158 → 158

Iterations

Iter	Nodes
done	5001
1	987
0	227

prune622.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.8b

localize19.0ms

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)))

rewrite199.0ms

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:

22.0ms	(/ y (+ (+ x y) 1.0))
35.0ms	(* (+ x y) (+ x y))
127.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
12.0ms	(/ x (* (+ x y) (+ x y)))

series413.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ y (+ (+ x y) 1.0))
23.0ms	(* (+ x y) (+ x y))
220.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
105.0ms	(/ x (* (+ x y) (+ x y)))

simplify2.6s

Counts

194 → 194

Iterations

Iter	Nodes
done	5006
2	3270
1	746
0	229

prune730.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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)))

rewrite189.0ms

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:

26.0ms	(/ y (+ (+ x y) 1.0))
11.0ms	(/ x (+ x y))
27.0ms	(/ (/ x (+ x y)) (+ x y))
114.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series429.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ y (+ (+ x y) 1.0))
62.0ms	(/ x (+ x y))
97.0ms	(/ (/ x (+ x y)) (+ x y))
217.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify2.3s

Counts

334 → 334

Iterations

Iter	Nodes
done	5002
2	3756
1	1043
0	341

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite182.0ms

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:

40.0ms	(/ y (+ (+ x y) 1.0))
9.0ms	(/ x (+ x y))
82.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
47.0ms	(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

series522.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ y (+ (+ x y) 1.0))
45.0ms	(/ x (+ x y))
181.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
205.0ms	(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

simplify2.0s

Counts

191 → 191

Iterations

Iter	Nodes
done	5004
2	2923
1	680
0	226

prune671.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample801.0ms

Algorithm

intervals

Results

624.0ms

8000×

body

valid