Details

sample17.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.8b

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))
17.8b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite267.0ms

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×	`insert-posit16` `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 → 143

Calls

3 calls:

42.0ms	(* (+ x y) (+ x y))
135.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
84.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series302.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(* (+ x y) (+ x y))
51.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
227.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.3s

Counts

152 → 152

Iterations

Iter	Nodes
done	5001
1	967
0	221

prune502.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.3b

localize17.0ms

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)))
19.3b	(/ x (* (+ x y) (+ x y)))

rewrite276.0ms

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×	`insert-posit16` `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 → 174

Calls

4 calls:

49.0ms	(* (+ x y) (+ x y))
34.0ms	(/ y (+ (+ x y) 1.0))
168.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
16.0ms	(/ x (* (+ x y) (+ x y)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (+ x y) (+ x y))
64.0ms	(/ y (+ (+ x y) 1.0))
185.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
76.0ms	(/ x (* (+ x y) (+ x y)))

simplify1.7s

Counts

186 → 186

Iterations

Iter	Nodes
done	5008
2	3183
1	721
0	221

prune922.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ x y))
0.0b	(/ y (+ (+ x y) 1.0))
0.0b	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
0.2b	(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

103×	`*-un-lft-identity`
99×	`add-exp-log`
70×	`times-frac`
61×	`add-cbrt-cube`
60×	`add-sqr-sqrt`
48×	`add-cube-cbrt`
40×	`prod-exp`
36×	`associate-l`
33×	`div-exp`
31×	`distribute-lft-out`
22×	`associate-r` `cbrt-unprod`
19×	`cbrt-undiv`
12×	`pow1`
10×	`associate-/r/`
9×	`associate-/r*`
6×	`frac-times` `rec-exp` `1-exp` `associate-r/` `associate-/l`
5×	`flip3-+` `flip-+` `div-inv`
4×	`pow-prod-down` `associate-*l/` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 207

Calls

4 calls:

12.0ms	(/ 1 (+ x y))
34.0ms	(/ y (+ (+ x y) 1.0))
123.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
160.0ms	(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series472.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ 1 (+ x y))
73.0ms	(/ y (+ (+ x y) 1.0))
167.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
183.0ms	(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify1.8s

Counts

219 → 219

Iterations

Iter	Nodes
done	5000
2	2937
1	811
0	263

prune634.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ y x))
0.0b	(/ (* (/ x (+ y x)) y) (+ (+ x y) 1.0))
0.1b	(/ (/ (* (/ x (+ y x)) y) (+ (+ x y) 1.0)) (+ x y))
7.8b	(* (/ x (+ y x)) y)

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

119×	`*-un-lft-identity`
99×	`times-frac`
51×	`add-sqr-sqrt`
46×	`add-cube-cbrt`
40×	`distribute-lft-out`
34×	`add-cbrt-cube` `add-exp-log`
18×	`associate-l` `associate-/r/`
15×	`associate-/l*`
14×	`cbrt-undiv` `div-exp`
13×	`associate-/r*`
9×	`flip3-+` `flip-+` `div-inv`
6×	`pow1` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r`
2×	`associate-*l/` `unswap-sqr` `associate-/l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 184

Calls

4 calls:

11.0ms	(/ x (+ y x))
52.0ms	(/ (* (/ x (+ y x)) y) (+ (+ x y) 1.0))
75.0ms	(/ (/ (* (/ x (+ y x)) y) (+ (+ x y) 1.0)) (+ x y))
48.0ms	(* (/ x (+ y x)) y)

series449.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ x (+ y x))
150.0ms	(/ (* (/ x (+ y x)) y) (+ (+ x y) 1.0))
192.0ms	(/ (/ (* (/ x (+ y x)) y) (+ (+ x y) 1.0)) (+ x y))
59.0ms	(* (/ x (+ y x)) y)

simplify1.6s

Counts

196 → 196

Iterations

Iter	Nodes
done	5006
2	2639
1	682
0	254

prune671.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample725.0ms

Algorithm

intervals

Results

577.0ms

8000×

body

valid