Details

sample33.0ms

Algorithm

intervals

Results

13.0ms

295×

body

valid

simplify82.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	27	5
2	40	5
3	47	5
4	63	5
5	75	5
6	106	5
7	112	5
8	118	5
9	122	5
10	130	5
11	402	5
12	2605	5
13	5001	5
done	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
11.8b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
4×	`pow1` `times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`flip3-+` `associate-l` `flip-+` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

47.0ms	(* x (+ (/ x y) 1.0))
29.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series70.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* x (+ (/ x y) 1.0))
45.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify42.0ms

Counts

56 → 56

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	296	332
1	1504	285
2	5001	283
done	5001	283

prune93.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

155×	`*-un-lft-identity`
146×	`times-frac`
71×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

2 → 146

Calls

2 calls:

33.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
37.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series109.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
67.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify68.0ms

Counts

152 → 152

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	494	1442
1	2344	1386
2	5002	1384
done	5002	1384

prune237.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
0.2b	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
11.9b	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

50×	`times-frac`
40×	`*-un-lft-identity`
31×	`add-exp-log`
28×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
19×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r*` `associate-/r/`
7×	`cbrt-undiv` `flip3-+` `flip-+` `distribute-lft-out` `associate-/l*`
6×	`pow1` `div-inv`
5×	`prod-exp`
4×	`associate-r`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`

Counts

3 → 118

Calls

3 calls:

44.0ms	(* x (+ (/ x y) 1.0))
40.0ms	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
33.0ms	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

series149.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(* x (+ (/ x y) 1.0))
47.0ms	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
77.0ms	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

simplify63.0ms

Counts

127 → 127

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	480	1005
1	2628	874
2	5001	820
done	5001	820

prune163.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (pow x 2) y))
6.3b	(- (+ x (/ (pow x 2) y)) (/ (pow x 3) y))
6.8b	(/ (pow x 3) y)
8.5b	(/ (pow x 2) y)

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
59×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
46×	`add-cube-cbrt`
25×	`unpow-prod-down`
20×	`associate-/l*`
14×	`add-exp-log`
13×	`cube-prod`
11×	`add-log-exp`
9×	`sqr-pow`
8×	`add-cbrt-cube`
6×	`div-exp` `associate-/r*`
5×	`difference-of-squares`
4×	`pow1` `cube-mult` `unpow3` `unpow2`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `flip3-+` `diff-log` `pow-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 149

Calls

4 calls:

16.0ms	(+ x (/ (pow x 2) y))
159.0ms	(- (+ x (/ (pow x 2) y)) (/ (pow x 3) y))
9.0ms	(/ (pow x 3) y)
8.0ms	(/ (pow x 2) y)

series92.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ x (/ (pow x 2) y))
26.0ms	(- (+ x (/ (pow x 2) y)) (/ (pow x 3) y))
25.0ms	(/ (pow x 3) y)
19.0ms	(/ (pow x 2) y)

simplify71.0ms

Counts

161 → 161

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	433	892
1	2132	840
2	5001	815
done	5001	815

prune273.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.0b 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	10	5
1	10	5
done	10	5

end0.0ms

sample410.0ms

Algorithm

intervals

Results

223.0ms

9152×

body

valid