Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.4b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
17.2b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite312.0ms

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` `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 → 146

Calls

3 calls:

45.0ms	(* (+ x y) (+ x y))
140.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
114.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series326.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* (+ x y) (+ x y))
50.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
249.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.4s

Counts

155 → 155

Iterations

Iter	Nodes
done	5005
1	984
0	224

prune688.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.4b

localize16.0ms

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)))
18.0b	(/ x (* (+ x y) (+ x y)))

rewrite267.0ms

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` `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 → 178

Calls

4 calls:

48.0ms	(* (+ x y) (+ x y))
48.0ms	(/ y (+ (+ x y) 1.0))
141.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
17.0ms	(/ x (* (+ x y) (+ x y)))

series443.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (+ x y) (+ x y))
67.0ms	(/ y (+ (+ x y) 1.0))
244.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
117.0ms	(/ x (* (+ x y) (+ x y)))

simplify2.2s

Counts

190 → 190

Iterations

Iter	Nodes
done	5014
2	3149
1	738
0	225

prune815.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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)))

rewrite298.0ms

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` `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 → 318

Calls

4 calls:

17.0ms	(/ x (+ x y))
46.0ms	(/ y (+ (+ x y) 1.0))
34.0ms	(/ (/ x (+ x y)) (+ x y))
185.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series475.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ x (+ x y))
90.0ms	(/ y (+ (+ x y) 1.0))
93.0ms	(/ (/ x (+ x y)) (+ x y))
247.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify2.5s

Counts

330 → 330

Iterations

Iter	Nodes
done	5000
2	3680
1	1037
0	337

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
7.0b	(cbrt (/ x (+ x y)))
7.0b	(cbrt (/ x (+ x y)))
7.0b	(cbrt (/ x (+ x y)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

150×	`cbrt-prod`
128×	`*-un-lft-identity`
102×	`times-frac`
92×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`swap-sqr` `distribute-lft-out`
21×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 188

Calls

4 calls:

69.0ms	(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
5.0ms	(cbrt (/ x (+ x y)))
5.0ms	(cbrt (/ x (+ x y)))
5.0ms	(cbrt (/ x (+ x y)))

series783.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
177.0ms	(cbrt (/ x (+ x y)))
201.0ms	(cbrt (/ x (+ x y)))
212.0ms	(cbrt (/ x (+ x y)))

simplify2.6s

Counts

200 → 200

Iterations

Iter	Nodes
done	5008
4	2393
3	1084
2	569
1	290
0	167

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes145.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample1.1s

Algorithm

intervals

Results

938.0ms

8000×

body

valid