Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	11
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize24.0ms

Local error

Found 1 expressions with local error:

7.8b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite38.0ms

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×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Counts

1 → 52

Calls

1 calls:

35.0ms

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

series95.0ms

Counts

1 → 3

Calls

1 calls:

95.0ms

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

simplify2.3s

Counts

55 → 55

Iterations

Iter	Nodes
done	5002
3	3469
2	712
1	214
0	97

prune307.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.9b

localize19.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (- 1.0 (/ y z)))
7.6b	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite104.0ms

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×	`expm1-log1p-u` `frac-times` `cbrt-undiv` `rec-exp` `flip3-+` `flip3--` `1-exp` `associate-*l/` `cbrt-unprod` `flip-+` `log1p-expm1-u` `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 → 101

Calls

2 calls:

18.0ms	(/ 1 (- 1.0 (/ y z)))
81.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series177.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(/ 1 (- 1.0 (/ y z)))
89.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify5.9s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	3263
1	377
0	147

prune554.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.8b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite86.0ms

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×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`flip3--` `div-sub` `pow-flip` `flip--` `inv-pow`

Counts

2 → 199

Calls

2 calls:

35.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
40.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series309.0ms

Counts

2 → 6

Calls

2 calls:

217.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
92.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify1.6s

Counts

205 → 205

Iterations

Iter	Nodes
done	5001
2	3046
1	669
0	249

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.9b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ x y))
0.3b	(/ 1 (- 1.0 (/ y z)))
7.7b	(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

1165×	`times-frac`
718×	`add-sqr-sqrt`
693×	`*-un-lft-identity`
413×	`add-cube-cbrt`
122×	`difference-of-squares`
93×	`associate-/r/`
79×	`distribute-lft-out`
61×	`distribute-lft-out--`
51×	`add-exp-log`
47×	`div-inv`
36×	`div-exp`
30×	`associate-/l*`
28×	`associate-/r*`
26×	`flip3-+` `flip-+`
20×	`flip3--` `flip--`
19×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
5×	`pow1`
3×	`expm1-log1p-u` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`
2×	`pow-flip` `inv-pow`
1×	`associate-/l/`

Counts

3 → 594

Calls

3 calls:

14.0ms	(/ 1 (+ x y))
21.0ms	(/ 1 (- 1.0 (/ y z)))
80.0ms	(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series370.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(/ 1 (+ x y))
80.0ms	(/ 1 (- 1.0 (/ y z)))
228.0ms	(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify2.2s

Counts

603 → 603

Iterations

Iter	Nodes
done	5001
1	2447
0	717

prune2.0s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 5.9b

regimes406.0ms

Accuracy

64% (0.7b remaining)

Error of 6.4b against oracle of 5.7b and baseline of 7.7b

bsearch1.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	34
1	34
0	25

end0.0ms

sample674.0ms

Algorithm

intervals

Results

431.0ms	7998×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	1280	valid