Details

sample32.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify18.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
5	26
4	25
3	23
2	20
1	15
0	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
5.5b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`times-frac`
11×	`add-cube-cbrt`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `distribute-lft-out` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `associate-/r/` `insert-posit16` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `div-exp` `flip-+` `div-inv` `flip--` `distribute-lft-out--`

Counts

2 → 50

Calls

2 calls:

22.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
10.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series167.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
111.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify1.7s

Counts

56 → 56

Iterations

Iter	Nodes
done	5004
3	2746
2	837
1	279
0	118

prune179.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
5.5b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
98×	`*-un-lft-identity`
75×	`add-sqr-sqrt`
61×	`add-cube-cbrt`
19×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`div-inv` `associate-/l*`
5×	`add-log-exp` `difference-of-squares`
4×	`pow1` `cbrt-undiv`
3×	`insert-posit16`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `distribute-lft-out--` `associate-/l/`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `associate-/r/` `flip-+` `pow-flip` `flip--` `inv-pow`

Counts

3 → 143

Calls

3 calls:

27.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
20.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
39.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series210.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
84.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
83.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify1.4s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
2	1597
1	566
0	225

prune513.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ 1 (+ (* 0.5 x) (/ 1.0 y))))
0.1b	(/ 1 (+ (* 0.5 x) (/ 1.0 y)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
11×	`times-frac`
10×	`add-cube-cbrt`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/r` `associate-/l` `difference-of-squares`
2×	`div-exp` `associate-/r/` `insert-posit16` `div-inv` `distribute-lft-out--`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `1-exp` `flip-+` `pow-flip` `flip--` `inv-pow`

Counts

2 → 52

Calls

2 calls:

45.0ms	(- x (/ 1 (+ (* 0.5 x) (/ 1.0 y))))
28.0ms	(/ 1 (+ (* 0.5 x) (/ 1.0 y)))

series125.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(- x (/ 1 (+ (* 0.5 x) (/ 1.0 y))))
74.0ms	(/ 1 (+ (* 0.5 x) (/ 1.0 y)))

simplify1.9s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
3	2761
2	849
1	281
0	119

prune291.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0))))
0.3b	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
3.3b	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
13.5b	(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-cbrt-cube` `add-exp-log`
39×	`add-sqr-sqrt`
37×	`times-frac`
32×	`*-un-lft-identity`
30×	`add-cube-cbrt`
25×	`associate-l`
17×	`prod-exp` `cbrt-unprod`
14×	`cbrt-undiv` `div-exp`
13×	`pow1`
12×	`associate-r`
8×	`difference-of-squares`
7×	`swap-sqr`
6×	`div-inv` `add-log-exp`
5×	`sub-neg` `flip3--` `flip--`
4×	`distribute-rgt-in` `associate-/r*` `distribute-lft-in` `associate-/r/` `insert-posit16` `associate--r+`
3×	`frac-times` `associate-r/` `associate-/l` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `-commutative`
1×	`pow2` `clear-num` `frac-2neg` `pow-plus` `diff-log` `pow-sqr` `pow-prod-up` `distribute-lft-out--`

Counts

4 → 156

Calls

4 calls:

11.0ms	(- x (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0))))
47.0ms	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
20.0ms	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
57.0ms	(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

series466.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(- x (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0))))
63.0ms	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
77.0ms	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
173.0ms	(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

simplify2.2s

Counts

168 → 168

Iterations

Iter	Nodes
done	5007
2	3218
1	820
0	275

prune704.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample1.1s

Algorithm

intervals

Results

896.0ms

8000×

body

valid