Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5011
4	2278
3	579
2	148
1	36
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.0b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
19.9b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite283.0ms

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:

53.0ms	(* (+ x y) (+ x y))
153.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
71.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series322.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (+ x y) (+ x y))
69.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
225.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.4s

Counts

149 → 149

Iterations

Iter	Nodes
done	5001
1	962
0	218

prune722.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.4b

localize36.0ms

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)))
20.6b	(/ x (* (+ x y) (+ x y)))

rewrite282.0ms

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:

32.0ms	(/ y (+ (+ x y) 1.0))
45.0ms	(* (+ x y) (+ x y))
168.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
26.0ms	(/ x (* (+ x y) (+ x y)))

series445.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ y (+ (+ x y) 1.0))
17.0ms	(* (+ x y) (+ x y))
266.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
96.0ms	(/ x (* (+ x y) (+ x y)))

simplify2.3s

Counts

182 → 182

Iterations

Iter	Nodes
done	5000
2	3165
1	715
0	217

prune838.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

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)))

rewrite323.0ms

Algorithm

rewrite-expression-head

Rules

295×	`*-un-lft-identity`
291×	`times-frac`
153×	`add-sqr-sqrt`
132×	`add-cube-cbrt`
85×	`distribute-lft-out`
78×	`associate-l`
31×	`add-cbrt-cube` `add-exp-log`
26×	`associate-/r/`
21×	`associate-r` `associate-/l*`
13×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
9×	`associate-/r*`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
5×	`pow1`
3×	`add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

3 → 277

Calls

3 calls:

41.0ms	(/ y (+ (+ x y) 1.0))
43.0ms	(/ (/ x (+ x y)) (+ x y))
217.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series518.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(/ y (+ (+ x y) 1.0))
150.0ms	(/ (/ x (+ x y)) (+ x y))
289.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify2.6s

Counts

286 → 286

Iterations

Iter	Nodes
done	5003
2	3568
1	1016
0	324

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

393×	`*-un-lft-identity`
339×	`times-frac`
167×	`add-sqr-sqrt`
146×	`add-cube-cbrt`
139×	`distribute-lft-out`
90×	`associate-r`
31×	`add-cbrt-cube` `add-exp-log`
26×	`associate-/r/`
24×	`associate-/l*`
18×	`associate-l`
13×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
9×	`associate-/r*`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
5×	`pow1`
3×	`add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

3 → 301

Calls

3 calls:

53.0ms	(/ y (+ 1.0 (+ y x)))
62.0ms	(/ (/ y (+ 1.0 (+ y x))) (+ y x))
159.0ms	(* (/ x (+ x y)) (/ (/ y (+ 1.0 (+ y x))) (+ y x)))

series499.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(/ y (+ 1.0 (+ y x)))
153.0ms	(/ (/ y (+ 1.0 (+ y x))) (+ y x))
255.0ms	(* (/ x (+ x y)) (/ (/ y (+ 1.0 (+ y x))) (+ y x)))

simplify2.6s

Counts

310 → 310

Iterations

Iter	Nodes
done	5009
2	3937
1	1068
0	331

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes148.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

1.0s

8000×

body

valid