Details

sample33.0ms

Algorithm

intervals

Results

17.0ms

295×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
14	4468
13	1561
12	595
11	277
10	170
9	166
8	148
7	120
6	86
5	74
4	60
3	45
2	30
1	19
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
11.3b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
4×	`pow1` `associate-/r` `times-frac` `associate-r` `associate-r/`
3×	`flip3-+` `associate-l` `flip-+` `distribute-lft-out`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

61.0ms	(* x (+ (/ x y) 1.0))
38.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series102.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* x (+ (/ x y) 1.0))
62.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.3s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
2	1927
1	332
0	106

prune224.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

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))

rewrite66.0ms

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-cbrt-cube` `add-exp-log`
7×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp` `associate-/l/`

Counts

2 → 150

Calls

2 calls:

31.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
28.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series114.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
70.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.4s

Counts

156 → 156

Iterations

Iter	Nodes
done	5000
2	3171
1	573
0	210

prune621.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (/ (+ 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))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

812×	`times-frac`
619×	`*-un-lft-identity`
343×	`add-sqr-sqrt` `add-cube-cbrt`
138×	`distribute-lft-out`
77×	`associate-/r*`
35×	`associate-/r/`
31×	`add-exp-log`
29×	`associate-/l*`
23×	`div-inv`
19×	`add-cbrt-cube` `div-exp`
18×	`flip3-+` `flip-+`
10×	`cbrt-undiv`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

3 → 460

Calls

3 calls:

71.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
40.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
54.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series290.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
104.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
65.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify1.4s

Counts

469 → 469

Iterations

Iter	Nodes
done	5001
1	1501
0	516

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (/ (+ x 1.0) (* (+ (/ x y) 1.0) (- (/ x y) 1.0))))
0.1b	(* (+ (/ x y) 1.0) (- (/ x y) 1.0))
4.6b	(/ (+ x 1.0) (* (+ (/ x y) 1.0) (- (/ x y) 1.0)))
7.6b	(/ (/ 1 (/ (+ x 1.0) (* (+ (/ x y) 1.0) (- (/ x y) 1.0)))) (/ (- (/ x y) 1.0) x))

rewrite459.0ms

Algorithm

rewrite-expression-head

Rules

3803×	`times-frac`
1987×	`add-sqr-sqrt`
1648×	`*-un-lft-identity`
1170×	`add-cube-cbrt`
617×	`associate-/r/`
326×	`difference-of-squares`
300×	`frac-times`
226×	`flip3-+` `flip-+`
225×	`flip3--` `flip--`
163×	`distribute-lft-out--`
159×	`div-inv`
150×	`associate-l/` `associate-r/`
106×	`add-exp-log`
78×	`prod-diff`
76×	`distribute-lft-out`
68×	`div-exp`
60×	`associate-/l*`
52×	`add-cbrt-cube`
41×	`distribute-rgt-in` `distribute-lft-in`
39×	`associate-/r*`
29×	`cbrt-undiv`
11×	`prod-exp`
9×	`rec-exp` `1-exp`
7×	`pow1`
6×	`associate-r`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/l/`
2×	`sub-neg`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 1526

Calls

4 calls:

53.0ms	(/ 1 (/ (+ x 1.0) (* (+ (/ x y) 1.0) (- (/ x y) 1.0))))
86.0ms	(* (+ (/ x y) 1.0) (- (/ x y) 1.0))
36.0ms	(/ (+ x 1.0) (* (+ (/ x y) 1.0) (- (/ x y) 1.0)))
132.0ms	(/ (/ 1 (/ (+ x 1.0) (* (+ (/ x y) 1.0) (- (/ x y) 1.0)))) (/ (- (/ x y) 1.0) x))

series254.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ 1 (/ (+ x 1.0) (* (+ (/ x y) 1.0) (- (/ x y) 1.0))))
46.0ms	(* (+ (/ x y) 1.0) (- (/ x y) 1.0))
83.0ms	(/ (+ x 1.0) (* (+ (/ x y) 1.0) (- (/ x y) 1.0)))
55.0ms	(/ (/ 1 (/ (+ x 1.0) (* (+ (/ x y) 1.0) (- (/ x y) 1.0)))) (/ (- (/ x y) 1.0) x))

simplify2.3s

Counts

1538 → 1538

Iterations

Iter	Nodes
done	5000
0	2341

prune8.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample573.0ms

Algorithm

intervals

Results

400.0ms

9155×

body

valid