Details

sample25.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify1.8s

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: 18.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.0b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite205.0ms

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:

33.0ms	(* (+ x y) (+ x y))
95.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
73.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series303.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(* (+ x y) (+ x y))
59.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
221.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.4s

Counts

152 → 152

Iterations

Iter	Nodes
done	5001
1	967
0	221

prune485.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.3b

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)))
18.3b	(/ x (* (+ x y) (+ x y)))

rewrite195.0ms

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:

22.0ms	(* (+ x y) (+ x y))
26.0ms	(/ y (+ (+ x y) 1.0))
128.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
18.0ms	(/ x (* (+ x y) (+ x y)))

series338.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (+ x y) (+ x y))
60.0ms	(/ y (+ (+ x y) 1.0))
185.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
74.0ms	(/ x (* (+ x y) (+ x y)))

simplify1.7s

Counts

186 → 186

Iterations

Iter	Nodes
done	5008
2	3183
1	721
0	221

prune615.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite189.0ms

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×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

4 → 314

Calls

4 calls:

33.0ms	(/ y (+ (+ x y) 1.0))
12.0ms	(/ x (+ x y))
22.0ms	(/ (/ x (+ x y)) (+ x y))
113.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series458.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ y (+ (+ x y) 1.0))
59.0ms	(/ x (+ x y))
101.0ms	(/ (/ x (+ x y)) (+ x y))
227.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify2.3s

Counts

326 → 326

Iterations

Iter	Nodes
done	5000
2	3705
1	1024
0	333

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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

rewrite178.0ms

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×	`insert-posit16` `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 → 446

Calls

4 calls:

9.0ms	(/ x (+ x y))
18.0ms	(/ (/ x (+ x y)) (+ x y))
113.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ 1 (/ (+ (+ x y) 1.0) y)))
24.0ms	(/ 1 (/ (+ (+ x y) 1.0) y))

series416.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ x (+ x y))
77.0ms	(/ (/ x (+ x y)) (+ x y))
187.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ 1 (/ (+ (+ x y) 1.0) y)))
93.0ms	(/ 1 (/ (+ (+ x y) 1.0) y))

simplify1.4s

Counts

458 → 458

Iterations

Iter	Nodes
done	5000
1	1492
0	468

prune1.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes64.0ms

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	18
1	18
0	12

end0.0ms

sample1.0s

Algorithm

intervals

Results

866.0ms

8000×

body

valid