Details

sample30.0ms

Algorithm

intervals

Results

15.0ms

286×

body

valid

simplify304.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	29	11
3	44	11
4	55	11
5	69	11
6	81	11
7	114	11
8	129	11
9	135	11
10	139	11
11	149	11
12	153	11
13	155	11
done	155	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
7.8b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
13×	`fma-def` `times-frac`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`flip3-+` `associate-r/` `associate-r` `associate-/r` `flip-+` `distribute-lft-out`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `sum-log` `-commutative` `associate-/l` `unswap-sqr`

Counts

3 → 81

Calls

3 calls:

17.0ms	(+ (/ x y) 1.0)
50.0ms	(* x (+ (/ x y) 1.0))
32.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series111.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (/ x y) 1.0)
31.0ms	(* x (+ (/ x y) 1.0))
65.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify2.6s

Counts

90 → 90

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	113	900
1	309	865
2	1124	759
3	4510	754
done	5000	754

prune252.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

165×	`*-un-lft-identity`
155×	`times-frac`
79×	`add-sqr-sqrt` `add-cube-cbrt`
43×	`distribute-lft-out`
26×	`associate-/r*`
13×	`fma-def`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 177

Calls

3 calls:

27.0ms	(+ (/ x y) 1.0)
36.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
56.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series172.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ (/ x y) 1.0)
66.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
89.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.2s

Counts

186 → 186

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	217	3143
1	496	2949
2	1722	2825
done	5001	2810

prune421.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))
0.2b	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

rewrite560.0ms

Algorithm

rewrite-expression-head

Rules

821×	`times-frac`
629×	`*-un-lft-identity`
351×	`add-sqr-sqrt` `add-cube-cbrt`
139×	`distribute-lft-out`
77×	`associate-/r*`
35×	`associate-/r/`
32×	`add-exp-log`
29×	`associate-/l*`
24×	`div-inv`
20×	`add-cbrt-cube`
19×	`flip3-+` `div-exp` `flip-+`
13×	`fma-def`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `sum-log` `inv-pow`

Counts

4 → 487

Calls

4 calls:

17.0ms	(+ (/ x y) 1.0)
390.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
53.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
63.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series265.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (/ x y) 1.0)
102.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
78.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
58.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify2.2s

Counts

499 → 499

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	523	11564
1	1243	10269
2	2700	9295
done	5000	9170

prune796.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (/ x y))
0.1b	(/ (+ 1.0 (/ x y)) (+ x 1.0))
0.2b	(/ (/ (+ 1.0 (/ x y)) (+ x 1.0)) (/ 1 x))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

733×	`times-frac`
547×	`*-un-lft-identity`
301×	`add-sqr-sqrt` `add-cube-cbrt`
123×	`distribute-lft-out`
39×	`div-inv`
31×	`associate-/r/`
27×	`add-exp-log`
26×	`associate-/l*`
17×	`flip3-+` `div-exp` `associate-/r*` `add-cbrt-cube` `flip-+`
9×	`cbrt-undiv`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u` `associate-/l/`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`+-commutative` `sum-log`

Counts

3 → 406

Calls

3 calls:

12.0ms	(+ 1.0 (/ x y))
40.0ms	(/ (+ 1.0 (/ x y)) (+ x 1.0))
84.0ms	(/ (/ (+ 1.0 (/ x y)) (+ x 1.0)) (/ 1 x))

series98.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ 1.0 (/ x y))
33.0ms	(/ (+ 1.0 (/ x y)) (+ x 1.0))
52.0ms	(/ (/ (+ 1.0 (/ x y)) (+ x 1.0)) (/ 1 x))

simplify1.7s

Counts

415 → 415

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	514	10797
1	1477	9104
2	3523	8496
done	5002	8495

prune590.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
done	10	11

end0.0ms

sample860.0ms

Algorithm

intervals

Results

535.0ms

9073×

body

valid