Details

sample41.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify22.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	11
0	8

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize23.0ms

Local error

Found 1 expressions with local error:

6.2b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
29×	`times-frac`
13×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*`
5×	`distribute-lft-out--`
4×	`associate-/l*`
3×	`add-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `insert-posit16` `div-inv` `flip--` `add-log-exp`

Counts

1 → 51

Calls

1 calls:

75.0ms

(/ (+ x y) (- 1.0 (/ y z)))

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

(/ (+ x y) (- 1.0 (/ y z)))

simplify2.7s

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
3	1669
2	564
1	210
0	96

prune589.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ 1 (- 1.0 (/ y z)))
5.5b	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
45×	`times-frac`
41×	`*-un-lft-identity`
24×	`associate-r` `add-cube-cbrt`
15×	`add-exp-log`
14×	`difference-of-squares`
9×	`add-cbrt-cube`
7×	`distribute-lft-out--`
6×	`associate-/r*`
5×	`pow1`
4×	`div-exp` `associate-l` `prod-exp` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `flip3-+` `flip3--` `1-exp` `associate-*l/` `cbrt-unprod` `flip-+` `insert-posit16` `div-inv` `flip--` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

2 → 99

Calls

2 calls:

40.0ms	(/ 1 (- 1.0 (/ y z)))
118.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series212.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(/ 1 (- 1.0 (/ y z)))
133.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify5.1s

Counts

105 → 105

Iterations

Iter	Nodes
done	5005
3	3120
2	1080
1	369
0	145

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.0b

localize42.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.2b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

231×	`times-frac`
194×	`add-sqr-sqrt`
193×	`*-un-lft-identity`
89×	`add-cube-cbrt`
42×	`difference-of-squares`
34×	`associate-/r*`
31×	`distribute-lft-out`
21×	`distribute-lft-out--`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube` `associate-/l*`
8×	`div-exp`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `add-log-exp` `associate-/l/`
1×	`flip3--` `div-sub` `pow-flip` `flip--` `inv-pow`

Counts

2 → 197

Calls

2 calls:

58.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
53.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series341.0ms

Counts

2 → 6

Calls

2 calls:

261.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
81.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify3.8s

Counts

203 → 203

Iterations

Iter	Nodes
done	5001
2	2052
1	651
0	247

prune1.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ x y))
0.2b	(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
6.2b	(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
40×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
30×	`times-frac`
23×	`add-cube-cbrt`
20×	`div-exp`
19×	`add-cbrt-cube`
18×	`associate-r`
16×	`prod-exp`
10×	`rec-exp` `1-exp` `associate-/r/`
9×	`pow1`
7×	`distribute-lft-out`
6×	`cbrt-undiv` `associate-l` `associate-/l*`
5×	`associate-/r*`
4×	`frac-times` `flip3--` `associate-*l/` `cbrt-unprod` `flip--`
3×	`insert-posit16` `div-inv` `pow-flip` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `flip3-+` `pow-prod-down` `associate-*r/` `un-div-inv` `flip-+` `inv-pow` `difference-of-squares`
1×	`*-commutative` `distribute-lft-out--`

Counts

3 → 132

Calls

3 calls:

16.0ms	(/ 1 (+ x y))
123.0ms	(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
168.0ms	(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

series399.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ 1 (+ x y))
240.0ms	(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
110.0ms	(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

simplify7.6s

Counts

141 → 141

Iterations

Iter	Nodes
done	5018
3	4928
2	1279
1	453
0	169

prune1.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 4.0b

regimes891.0ms

Accuracy

68% (0.7b remaining)

Error of 6.6b against oracle of 6.0b and baseline of 8.1b

bsearch3.0ms

simplify22.0ms

Iterations

Iter	Nodes
done	34
1	34
0	26

end0.0ms

sample692.0ms

Algorithm

intervals

Results

337.0ms	7999×	body	80	valid
0.0ms	1×	body	1280	valid