Details

sample40.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	3221
3	647
2	153
1	36
0	9

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.8b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
17.6b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite291.0ms

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×	`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 → 140

Calls

3 calls:

41.0ms	(* (+ x y) (+ x y))
134.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
109.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series301.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (+ x y) (+ x y))
57.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
216.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify534.0ms

Counts

149 → 149

Iterations

Iter	Nodes
done	5002
1	980
0	218

prune703.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ y x) 1.0))
0.0b	(* (+ y x) (+ y x))
0.1b	(* (/ x (* (+ y x) (+ y x))) (/ y (+ (+ y x) 1.0)))
17.9b	(/ x (* (+ y x) (+ y x)))

rewrite309.0ms

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×	`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 → 170

Calls

4 calls:

53.0ms	(/ y (+ (+ y x) 1.0))
30.0ms	(* (+ y x) (+ y x))
184.0ms	(* (/ x (* (+ y x) (+ y x))) (/ y (+ (+ y x) 1.0)))
30.0ms	(/ x (* (+ y x) (+ y x)))

series426.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ y (+ (+ y x) 1.0))
16.0ms	(* (+ y x) (+ y x))
246.0ms	(* (/ x (* (+ y x) (+ y x))) (/ y (+ (+ y x) 1.0)))
103.0ms	(/ x (* (+ y x) (+ y x)))

simplify476.0ms

Counts

182 → 182

Iterations

Iter	Nodes
done	5001
1	734
0	218

prune817.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ (* y (/ x (+ x y))) (+ x y))
0.1b	(/ (/ (* y (/ x (+ x y))) (+ x y)) (+ (+ y x) 1.0))
6.4b	(* y (/ x (+ x y)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

132×	`*-un-lft-identity`
103×	`times-frac`
52×	`add-sqr-sqrt`
48×	`distribute-lft-out`
47×	`add-cube-cbrt`
34×	`add-cbrt-cube` `add-exp-log`
20×	`associate-/r/`
18×	`associate-r`
14×	`cbrt-undiv` `div-exp` `associate-/l*`
13×	`associate-/r*`
10×	`flip3-+` `flip-+` `div-inv`
6×	`pow1` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
2×	`associate-*r/` `unswap-sqr` `associate-/l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 184

Calls

4 calls:

9.0ms	(/ x (+ x y))
26.0ms	(/ (* y (/ x (+ x y))) (+ x y))
63.0ms	(/ (/ (* y (/ x (+ x y))) (+ x y)) (+ (+ y x) 1.0))
30.0ms	(* y (/ x (+ x y)))

series492.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ x (+ x y))
124.0ms	(/ (* y (/ x (+ x y))) (+ x y))
235.0ms	(/ (/ (* y (/ x (+ x y))) (+ x y)) (+ (+ y x) 1.0))
70.0ms	(* y (/ x (+ x y)))

simplify2.0s

Counts

196 → 196

Iterations

Iter	Nodes
done	5001
2	3872
1	672
0	234

prune868.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ y x) 1.0))
0.0b	(/ (* y (/ x (+ x y))) (+ x y))
0.1b	(* (/ (* y (/ x (+ x y))) (+ x y)) (/ 1 (+ (+ y x) 1.0)))
6.4b	(* y (/ x (+ x y)))

rewrite296.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
82×	`add-exp-log`
53×	`times-frac`
52×	`add-cbrt-cube`
48×	`add-sqr-sqrt`
39×	`associate-r`
36×	`add-cube-cbrt`
31×	`div-exp`
28×	`prod-exp`
27×	`distribute-lft-out`
18×	`cbrt-undiv`
16×	`cbrt-unprod`
13×	`associate-l`
10×	`associate-/r/`
9×	`pow1` `associate-/r*`
5×	`rec-exp` `flip3-+` `1-exp` `flip-+` `div-inv` `unswap-sqr`
4×	`associate-/l*` `add-log-exp`
3×	`associate-*r/`
2×	`clear-num` `frac-2neg` `pow-prod-down` `*-commutative`
1×	`frac-times` `associate-*l/` `un-div-inv` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 177

Calls

4 calls:

58.0ms	(/ 1 (+ (+ y x) 1.0))
35.0ms	(/ (* y (/ x (+ x y))) (+ x y))
147.0ms	(* (/ (* y (/ x (+ x y))) (+ x y)) (/ 1 (+ (+ y x) 1.0)))
43.0ms	(* y (/ x (+ x y)))

series479.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ 1 (+ (+ y x) 1.0))
111.0ms	(/ (* y (/ x (+ x y))) (+ x y))
238.0ms	(* (/ (* y (/ x (+ x y))) (+ x y)) (/ 1 (+ (+ y x) 1.0)))
69.0ms	(* y (/ x (+ x y)))

simplify444.0ms

Counts

189 → 189

Iterations

Iter	Nodes
done	5000
1	788
0	240

prune719.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
2	22
1	21
0	15

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

8000×

body

valid