Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

295×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
14	3876
13	1400
12	529
11	242
10	137
9	133
8	125
7	109
6	78
5	66
4	52
3	41
2	28
1	19
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize11.0ms

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))

rewrite91.0ms

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×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `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 → 50

Calls

2 calls:

50.0ms	(* x (+ (/ x y) 1.0))
39.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series123.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* x (+ (/ x y) 1.0))
79.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.1s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
2	1865
1	322
0	102

prune202.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

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))

rewrite71.0ms

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×	`pow1` `clear-num` `frac-2neg` `add-log-exp` `associate-/l/`

Counts

2 → 146

Calls

2 calls:

30.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
33.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series121.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
72.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.4s

Counts

152 → 152

Iterations

Iter	Nodes
done	5002
2	3175
1	563
0	206

prune633.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

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))

rewrite242.0ms

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×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `add-log-exp` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

3 → 454

Calls

3 calls:

66.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
55.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
75.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series264.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
82.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
60.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify1.6s

Counts

463 → 463

Iterations

Iter	Nodes
done	5000
1	1544
0	510

prune1.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite553.0ms

Algorithm

rewrite-expression-head

Rules

3749×	`times-frac`
1919×	`add-sqr-sqrt`
1580×	`*-un-lft-identity`
1102×	`add-cube-cbrt`
617×	`associate-/r/`
326×	`difference-of-squares`
300×	`frac-times`
226×	`flip3-+` `flip-+`
225×	`flip3--` `flip--`
163×	`distribute-lft-out--`
153×	`div-inv`
150×	`associate-l/` `associate-r/`
106×	`add-exp-log`
76×	`distribute-lft-out`
68×	`div-exp`
60×	`associate-/l*`
52×	`add-cbrt-cube`
39×	`associate-/r*`
29×	`cbrt-undiv`
11×	`prod-exp`
9×	`rec-exp` `1-exp`
7×	`pow1`
6×	`associate-r`
5×	`cbrt-unprod`
4×	`associate-l` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/l/`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 1440

Calls

4 calls:

77.0ms	(/ 1 (/ (+ x 1.0) (* (+ 1.0 (/ x y)) (- (/ x y) 1.0))))
74.0ms	(* (+ 1.0 (/ x y)) (- (/ x y) 1.0))
65.0ms	(/ (+ x 1.0) (* (+ 1.0 (/ x y)) (- (/ x y) 1.0)))
142.0ms	(/ (/ 1 (/ (+ x 1.0) (* (+ 1.0 (/ x y)) (- (/ x y) 1.0)))) (/ (- (/ x y) 1.0) x))

series390.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(/ 1 (/ (+ x 1.0) (* (+ 1.0 (/ x y)) (- (/ x y) 1.0))))
82.0ms	(* (+ 1.0 (/ x y)) (- (/ x y) 1.0))
126.0ms	(/ (+ x 1.0) (* (+ 1.0 (/ x y)) (- (/ x y) 1.0)))
64.0ms	(/ (/ 1 (/ (+ x 1.0) (* (+ 1.0 (/ x y)) (- (/ x y) 1.0)))) (/ (- (/ x y) 1.0) x))

simplify2.7s

Counts

1452 → 1452

Iterations

Iter	Nodes
done	5001
0	2184

prune7.4s

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

sample572.0ms

Algorithm

intervals

Results

397.0ms

9155×

body

valid