Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.3b

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))
22.1b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite226.0ms

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:

26.0ms	(* (+ x y) (+ x y))
107.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
85.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series236.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(* (+ x y) (+ x y))
44.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
176.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.4s

Counts

155 → 155

Iterations

Iter	Nodes
done	5005
1	984
0	224

prune677.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.3b

localize27.0ms

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)))
21.3b	(/ x (* (+ x y) (+ x y)))

rewrite213.0ms

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:

28.0ms	(* (+ x y) (+ x y))
30.0ms	(/ y (+ (+ x y) 1.0))
134.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
15.0ms	(/ x (* (+ x y) (+ x y)))

series402.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (+ x y) (+ x y))
71.0ms	(/ y (+ (+ x y) 1.0))
222.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
90.0ms	(/ x (* (+ x y) (+ x y)))

simplify2.0s

Counts

190 → 190

Iterations

Iter	Nodes
done	5014
2	3149
1	738
0	225

prune780.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite289.0ms

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:

10.0ms	(/ x (+ x y))
36.0ms	(/ y (+ (+ x y) 1.0))
36.0ms	(/ (/ x (+ x y)) (+ x y))
183.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series415.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ x (+ x y))
59.0ms	(/ y (+ (+ x y) 1.0))
84.0ms	(/ (/ x (+ x y)) (+ x y))
215.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify2.1s

Counts

330 → 330

Iterations

Iter	Nodes
done	5000
2	3680
1	1037
0	337

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(/ (/ x (+ x y)) (+ x y))
0.1b	(* (/ (/ x (+ x y)) (+ x y)) (/ 1 (/ (+ (+ x y) 1.0) y)))
0.6b	(/ 1 (/ (+ (+ x y) 1.0) y))

rewrite318.0ms

Algorithm

rewrite-expression-head

Rules

516×	`times-frac`
473×	`*-un-lft-identity`
283×	`add-sqr-sqrt`
226×	`add-cube-cbrt`
131×	`distribute-lft-out`
100×	`add-exp-log`
78×	`associate-l`
62×	`associate-r`
53×	`div-exp`
52×	`add-cbrt-cube`
27×	`associate-/r*`
26×	`associate-/r/`
25×	`cbrt-undiv`
24×	`associate-/l*`
21×	`prod-exp` `div-inv`
15×	`unswap-sqr`
12×	`flip3-+` `flip-+`
9×	`cbrt-unprod`
8×	`rec-exp` `1-exp`
7×	`pow1`
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/` `un-div-inv` `*-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 450

Calls

4 calls:

14.0ms	(/ x (+ x y))
34.0ms	(/ (/ x (+ x y)) (+ x y))
186.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ 1 (/ (+ (+ x y) 1.0) y)))
42.0ms	(/ 1 (/ (+ (+ x y) 1.0) y))

series435.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ x (+ x y))
71.0ms	(/ (/ x (+ x y)) (+ x y))
221.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ 1 (/ (+ (+ x y) 1.0) y)))
91.0ms	(/ 1 (/ (+ (+ x y) 1.0) y))

simplify1.5s

Counts

462 → 462

Iterations

Iter	Nodes
done	5002
1	1512
0	472

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	11

end0.0ms

sample673.0ms

Algorithm

intervals

Results

483.0ms

8000×

body

valid