Details

sample34.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	11
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (/ y z))
7.6b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
30×	`times-frac`
14×	`add-cube-cbrt`
12×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-exp-log` `associate-/l*` `add-log-exp`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `flip-+` `div-inv`

Counts

2 → 65

Calls

2 calls:

17.0ms	(- 1.0 (/ y z))
41.0ms	(/ (+ x y) (- 1.0 (/ y z)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(- 1.0 (/ y z))
89.0ms	(/ (+ x y) (- 1.0 (/ y z)))

simplify1.4s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
3	3445
2	728
1	226
0	104

prune323.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.5b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ y z))
0.2b	(/ 1 (/ (- 1.0 (/ y z)) (+ y x)))
7.7b	(/ (- 1.0 (/ y z)) (+ y x))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

232×	`times-frac`
200×	`add-sqr-sqrt`
196×	`*-un-lft-identity`
90×	`add-cube-cbrt`
44×	`difference-of-squares`
34×	`associate-/r*`
31×	`distribute-lft-out`
22×	`distribute-lft-out--`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
9×	`associate-/l*`
8×	`div-exp`
6×	`div-inv`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `pow-flip` `inv-pow`

Counts

3 → 210

Calls

3 calls:

14.0ms	(- 1.0 (/ y z))
53.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ y x)))
42.0ms	(/ (- 1.0 (/ y z)) (+ y x))

series274.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(- 1.0 (/ y z))
197.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ y x)))
60.0ms	(/ (- 1.0 (/ y z)) (+ y x))

simplify1.5s

Counts

219 → 219

Iterations

Iter	Nodes
done	5002
2	3877
1	682
0	254

prune755.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ y x))
0.0b	(- 1.0 (/ y z))
0.2b	(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ y x))))
7.7b	(* (- 1.0 (/ y z)) (/ 1 (+ y x)))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
43×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
31×	`times-frac`
24×	`add-cube-cbrt`
20×	`add-cbrt-cube` `div-exp`
18×	`associate-r`
16×	`prod-exp`
10×	`pow1` `rec-exp` `1-exp` `associate-/r/`
7×	`distribute-lft-out`
6×	`cbrt-undiv` `associate-l` `associate-/l*` `add-log-exp`
5×	`associate-/r*` `flip3--` `flip--`
4×	`frac-times` `associate-*l/` `cbrt-unprod` `difference-of-squares`
3×	`div-inv` `pow-flip` `unswap-sqr`
2×	`clear-num` `frac-2neg` `flip3-+` `pow-prod-down` `associate-*r/` `un-div-inv` `flip-+` `distribute-lft-out--` `inv-pow`
1×	`sub-neg` `diff-log` `*-commutative`

Counts

4 → 144

Calls

4 calls:

13.0ms	(/ 1 (+ y x))
18.0ms	(- 1.0 (/ y z))
49.0ms	(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ y x))))
84.0ms	(* (- 1.0 (/ y z)) (/ 1 (+ y x)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ 1 (+ y x))
23.0ms	(- 1.0 (/ y z))
169.0ms	(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ y x))))
55.0ms	(* (- 1.0 (/ y z)) (/ 1 (+ y x)))

simplify1.7s

Counts

156 → 156

Iterations

Iter	Nodes
done	5000
2	2805
1	484
0	174

prune521.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ y x))
0.0b	(- 1.0 (/ y z))
0.2b	(/ 1 (- 1.0 (/ y z)))
7.7b	(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ y x)))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

1166×	`times-frac`
724×	`add-sqr-sqrt`
696×	`*-un-lft-identity`
414×	`add-cube-cbrt`
124×	`difference-of-squares`
93×	`associate-/r/`
79×	`distribute-lft-out`
62×	`distribute-lft-out--`
52×	`add-exp-log`
47×	`div-inv`
36×	`div-exp`
30×	`associate-/l*`
28×	`associate-/r*`
26×	`flip3-+` `flip-+`
21×	`flip3--` `flip--`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`pow-flip` `inv-pow`
1×	`sub-neg` `diff-log` `associate-/l/`

Counts

4 → 603

Calls

4 calls:

9.0ms	(/ 1 (+ y x))
10.0ms	(- 1.0 (/ y z))
37.0ms	(/ 1 (- 1.0 (/ y z)))
89.0ms	(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ y x)))

series358.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ 1 (+ y x))
19.0ms	(- 1.0 (/ y z))
76.0ms	(/ 1 (- 1.0 (/ y z)))
199.0ms	(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ y x)))

simplify2.0s

Counts

615 → 615

Iterations

Iter	Nodes
done	5002
1	2533
0	716

prune1.0s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 4.5b

regimes373.0ms

Accuracy

63.9% (0.6b remaining)

Error of 6.3b against oracle of 5.8b and baseline of 7.4b

bsearch1.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	35
1	35
0	28

end0.0ms

sample905.0ms

Algorithm

intervals

Results

530.0ms	7998×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid