Details

sample50.0ms

Algorithm

intervals

Results

26.0ms

256×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize74.0ms

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)))

rewrite725.0ms

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` `insert-posit16` `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 → 149

Calls

3 calls:

120.0ms	(* (+ x y) (+ x y))
368.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
205.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series449.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* (+ x y) (+ x y))
104.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
307.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify2.6s

Counts

158 → 158

Iterations

Iter	Nodes
done	5002
1	989
0	227

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.8b

localize109.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
6.3b	(/ x (/ (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)) y))
6.4b	(/ (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)) y)

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

60×	`frac-times` `flip3-+` `flip-+`
46×	`*-un-lft-identity`
36×	`times-frac`
34×	`add-cbrt-cube` `add-exp-log`
30×	`add-sqr-sqrt` `associate-*l/`
27×	`add-cube-cbrt`
26×	`associate-/l/`
18×	`associate-*r/`
16×	`pow1`
10×	`cbrt-undiv` `associate-/r*` `div-exp` `prod-exp` `cbrt-unprod`
9×	`associate-r` `distribute-lft-out`
6×	`swap-sqr` `div-inv`
5×	`associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `*-commutative` `unswap-sqr`
1×	`pow2` `pow-plus` `associate-/r/` `pow-sqr` `pow-prod-up`

Counts

4 → 200

Calls

4 calls:

131.0ms	(* (+ x y) (+ x y))
425.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
169.0ms	(/ x (/ (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)) y))
307.0ms	(/ (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)) y)

series531.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (+ x y) (+ x y))
81.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
323.0ms	(/ x (/ (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)) y))
92.0ms	(/ (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)) y)

simplify3.6s

Counts

212 → 212

Iterations

Iter	Nodes
done	5000
1	1101
0	303

prune2.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize119.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (+ x y) 1.0) y)
0.0b	(/ x (+ y x))
0.1b	(/ (/ x (+ y x)) (+ y x))
0.2b	(/ (/ (/ x (+ y x)) (+ y x)) (/ (+ (+ x y) 1.0) y))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

5226×	`times-frac`
4294×	`*-un-lft-identity`
1813×	`add-sqr-sqrt` `add-cube-cbrt`
1361×	`distribute-lft-out`
215×	`associate-/r/`
188×	`div-inv`
108×	`flip3-+` `flip-+`
104×	`associate-/l*`
34×	`add-cbrt-cube` `add-exp-log`
30×	`associate-/r*`
20×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`

Counts

4 → 1796

Calls

4 calls:

208.0ms	(/ (+ (+ x y) 1.0) y)
27.0ms	(/ x (+ y x))
120.0ms	(/ (/ x (+ y x)) (+ y x))
360.0ms	(/ (/ (/ x (+ y x)) (+ y x)) (/ (+ (+ x y) 1.0) y))

series545.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (+ (+ x y) 1.0) y)
62.0ms	(/ x (+ y x))
133.0ms	(/ (/ x (+ y x)) (+ y x))
313.0ms	(/ (/ (/ x (+ y x)) (+ y x)) (/ (+ (+ x y) 1.0) y))

simplify4.4s

Counts

1808 → 1808

Iterations

Iter	Nodes
done	5000
0	1551

prune11.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ y x))
0.1b	(/ (/ x (+ y x)) (+ y x))
0.1b	(* (/ (/ x (+ y x)) (+ y x)) (/ 1 (/ (+ (+ x y) 1.0) y)))
0.4b	(/ 1 (/ (+ (+ x y) 1.0) y))

rewrite822.0ms

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` `insert-posit16` `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 → 454

Calls

4 calls:

26.0ms	(/ x (+ y x))
63.0ms	(/ (/ x (+ y x)) (+ y x))
546.0ms	(* (/ (/ x (+ y x)) (+ y x)) (/ 1 (/ (+ (+ x y) 1.0) y)))
123.0ms	(/ 1 (/ (+ (+ x y) 1.0) y))

series582.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ x (+ y x))
105.0ms	(/ (/ x (+ y x)) (+ y x))
294.0ms	(* (/ (/ x (+ y x)) (+ y x)) (/ 1 (/ (+ (+ x y) 1.0) y)))
115.0ms	(/ 1 (/ (+ (+ x y) 1.0) y))

simplify4.0s

Counts

466 → 466

Iterations

Iter	Nodes
done	5000
1	1518
0	478

prune3.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes432.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

623.0ms

8000×

body

valid