Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	11
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

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-+` `div-inv` `flip--` `add-log-exp`

Counts

1 → 50

Calls

1 calls:

28.0ms

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

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

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

simplify1.3s

Counts

53 → 53

Iterations

Iter	Nodes
done	5001
3	1645
2	571
1	209
0	95

prune202.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.4b

localize12.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1 (- 1.0 (/ y z)))
5.7b	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite78.0ms

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-+` `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 → 97

Calls

2 calls:

18.0ms	(/ 1 (- 1.0 (/ y z)))
56.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series105.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ 1 (- 1.0 (/ y z)))
58.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify2.4s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	3537
2	1109
1	367
0	143

prune329.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.4b

localize12.0ms

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))

rewrite74.0ms

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` `add-log-exp` `associate-/l/`
1×	`flip3--` `div-sub` `pow-flip` `flip--` `inv-pow`

Counts

2 → 195

Calls

2 calls:

29.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
34.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series180.0ms

Counts

2 → 6

Calls

2 calls:

130.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
50.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify1.5s

Counts

201 → 201

Iterations

Iter	Nodes
done	5001
2	1672
1	649
0	245

prune786.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 5.4b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ x y))
0.2b	(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
6.3b	(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

rewrite145.0ms

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×	`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 → 129

Calls

3 calls:

10.0ms	(/ 1 (+ x y))
48.0ms	(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
78.0ms	(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

series262.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ 1 (+ x y))
166.0ms	(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
57.0ms	(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

simplify1.9s

Counts

138 → 138

Iterations

Iter	Nodes
done	5000
2	1269
1	449
0	166

prune554.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 5.4b

regimes261.0ms

Accuracy

0% (1.7b remaining)

Error of 7.3b against oracle of 5.6b and baseline of 7.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

773.0ms	7998×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid