Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3563
3	688
2	157
1	36
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
17.5b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite254.0ms

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:

40.0ms	(* (+ x y) (+ x y))
135.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
69.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series259.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* (+ x y) (+ x y))
48.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
192.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.4s

Counts

155 → 155

Iterations

Iter	Nodes
done	5001
1	1001
0	224

prune697.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.8b

localize15.0ms

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)))
15.3b	(/ x (* (+ x y) (+ x y)))

rewrite190.0ms

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:

27.0ms	(/ y (+ (+ x y) 1.0))
26.0ms	(* (+ x y) (+ x y))
111.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
19.0ms	(/ x (* (+ x y) (+ x y)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ y (+ (+ x y) 1.0))
19.0ms	(* (+ x y) (+ x y))
171.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
68.0ms	(/ x (* (+ x y) (+ x y)))

simplify741.0ms

Counts

190 → 190

Iterations

Iter	Nodes
done	5000
1	753
0	225

prune716.0ms

Pruning

7 alts after pruning (7 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 y) 1.0))
0.1b	(* (/ 1 (+ x y)) (/ x (+ x y)))
0.1b	(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

105×	`*-un-lft-identity`
103×	`add-exp-log`
73×	`times-frac`
65×	`add-sqr-sqrt`
61×	`add-cbrt-cube`
48×	`add-cube-cbrt`
42×	`prod-exp`
39×	`associate-r`
35×	`div-exp`
31×	`distribute-lft-out`
22×	`cbrt-unprod`
19×	`cbrt-undiv` `associate-l`
11×	`pow1`
10×	`associate-/r/`
9×	`associate-/r*`
6×	`frac-times` `rec-exp` `1-exp` `associate-l/` `associate-/l` `unswap-sqr`
5×	`flip3-+` `flip-+` `div-inv`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*r/` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative`

Counts

4 → 211

Calls

4 calls:

11.0ms	(/ x (+ x y))
36.0ms	(/ y (+ (+ x y) 1.0))
51.0ms	(* (/ 1 (+ x y)) (/ x (+ x y)))
157.0ms	(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

series443.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ x (+ x y))
69.0ms	(/ y (+ (+ x y) 1.0))
91.0ms	(* (/ 1 (+ x y)) (/ x (+ x y)))
217.0ms	(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

simplify834.0ms

Counts

223 → 223

Iterations

Iter	Nodes
done	5000
1	906
0	274

prune760.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite173.0ms

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` `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 → 175

Calls

4 calls:

9.0ms	(/ x (+ y x))
28.0ms	(/ y (+ (+ y x) 1.0))
89.0ms	(* (/ x (+ y x)) (/ y (+ (+ y x) 1.0)))
41.0ms	(/ (* (/ x (+ y x)) (/ y (+ (+ y x) 1.0))) (+ x y))

series475.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ x (+ y x))
52.0ms	(/ y (+ (+ y x) 1.0))
160.0ms	(* (/ x (+ y x)) (/ y (+ (+ y x) 1.0)))
203.0ms	(/ (* (/ x (+ y x)) (/ y (+ (+ y x) 1.0))) (+ x y))

simplify770.0ms

Counts

187 → 187

Iterations

Iter	Nodes
done	5000
1	734
0	236

prune728.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample682.0ms

Algorithm

intervals

Results

421.0ms

8000×

body

valid