Details

sample26.0ms

Algorithm

intervals

Results

18.0ms

297×

body

valid

simplify99.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	112
12	112
11	111
10	107
9	103
8	97
7	92
6	73
5	62
4	47
3	39
2	26
1	19
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
8.3b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`associate-/r` `flip3-+` `times-frac` `associate-r` `associate-r/` `flip-+` `distribute-lft-out`
3×	`associate-l` `insert-posit16`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`distribute-rgt-in` `+-commutative` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

9.0ms	(+ (/ x y) 1.0)
26.0ms	(* x (+ (/ x y) 1.0))
22.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series88.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (/ x y) 1.0)
28.0ms	(* x (+ (/ x y) 1.0))
48.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.1s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	1351
1	328
0	109

prune199.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

158×	`*-un-lft-identity`
146×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
43×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
7×	`flip3-+` `flip-+` `associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `insert-posit16`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 161

Calls

3 calls:

9.0ms	(+ (/ x y) 1.0)
22.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
27.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series164.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+ (/ x y) 1.0)
62.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
84.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.4s

Counts

170 → 170

Iterations

Iter	Nodes
done	5008
2	2123
1	565
0	213

prune580.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
32×	`add-exp-log`
31×	`add-sqr-sqrt`
29×	`times-frac`
24×	`add-cube-cbrt`
20×	`add-cbrt-cube`
18×	`associate-r`
11×	`div-exp`
10×	`associate-/r/`
9×	`distribute-lft-out`
8×	`prod-exp`
7×	`pow1` `flip3-+` `flip-+`
6×	`cbrt-undiv` `associate-/l*` `add-log-exp`
5×	`associate-/r*`
4×	`frac-times` `associate-l` `associate-*l/` `cbrt-unprod` `insert-posit16`
3×	`rec-exp` `1-exp` `div-inv` `unswap-sqr`
2×	`clear-num` `frac-2neg` `associate-*r/` `un-div-inv`
1×	`+-commutative` `sum-log` `pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 130

Calls

4 calls:

9.0ms	(+ (/ x y) 1.0)
57.0ms	(* (+ x 1.0) (/ 1 (+ (/ x y) 1.0)))
28.0ms	(/ x (* (+ x 1.0) (/ 1 (+ (/ x y) 1.0))))
19.0ms	(/ 1 (+ (/ x y) 1.0))

series230.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ (/ x y) 1.0)
101.0ms	(* (+ x 1.0) (/ 1 (+ (/ x y) 1.0)))
63.0ms	(/ x (* (+ x 1.0) (/ 1 (+ (/ x y) 1.0))))
47.0ms	(/ 1 (+ (/ x y) 1.0))

simplify1.4s

Counts

142 → 142

Iterations

Iter	Nodes
done	5001
2	1745
1	466
0	176

prune398.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (/ x y))
0.0b	(/ (+ 1.0 x) x)
0.1b	(/ (/ (+ 1.0 x) x) (+ 1.0 (/ x y)))
0.2b	(/ 1 (/ (/ (+ 1.0 x) x) (+ 1.0 (/ x y))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

794×	`times-frac`
635×	`*-un-lft-identity`
337×	`add-sqr-sqrt` `add-cube-cbrt`
149×	`distribute-lft-out`
77×	`associate-/r*`
32×	`add-exp-log`
28×	`div-inv`
23×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
11×	`associate-/r/`
10×	`cbrt-undiv`
7×	`flip3-+` `flip-+`
6×	`add-log-exp`
5×	`pow1`
4×	`insert-posit16`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`+-commutative` `sum-log` `pow-flip` `inv-pow`

Counts

4 → 458

Calls

4 calls:

6.0ms	(+ 1.0 (/ x y))
15.0ms	(/ (+ 1.0 x) x)
24.0ms	(/ (/ (+ 1.0 x) x) (+ 1.0 (/ x y)))
24.0ms	(/ 1 (/ (/ (+ 1.0 x) x) (+ 1.0 (/ x y))))

series234.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ 1.0 (/ x y))
55.0ms	(/ (+ 1.0 x) x)
115.0ms	(/ (/ (+ 1.0 x) x) (+ 1.0 (/ x y)))
49.0ms	(/ 1 (/ (/ (+ 1.0 x) x) (+ 1.0 (/ x y))))

simplify2.2s

Counts

470 → 470

Iterations

Iter	Nodes
done	5001
2	3269
1	1363
0	481

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes97.0ms

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	10
1	10
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

875.0ms

9122×

body

valid