Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

295×

body

valid

simplify100.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	112
12	112
11	111
10	107
9	103
8	97
7	92
6	73
5	62
4	47
3	39
2	26
1	19
0	8

prune4.0ms

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))

rewrite72.0ms

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:

42.0ms	(* x (+ (/ x y) 1.0))
29.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series79.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* x (+ (/ x y) 1.0))
51.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.2s

Counts

56 → 56

Iterations

Iter	Nodes
done	5005
2	1347
1	321
0	102

prune280.0ms

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))

rewrite420.0ms

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:

31.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
59.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series165.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
96.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.5s

Counts

152 → 152

Iterations

Iter	Nodes
done	5008
2	2107
1	557
0	206

prune566.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

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))

rewrite238.0ms

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:

68.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
59.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
70.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series265.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
97.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
51.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify2.2s

Counts

463 → 463

Iterations

Iter	Nodes
done	5009
2	3983
1	1480
0	510

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize39.0ms

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))

rewrite565.0ms

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:

61.0ms	(/ 1 (/ (+ x 1.0) (* (+ (/ x y) 1.0) (- (/ x y) 1.0))))
99.0ms	(* (+ (/ x y) 1.0) (- (/ x y) 1.0))
47.0ms	(/ (+ x 1.0) (* (+ (/ x y) 1.0) (- (/ x y) 1.0)))
171.0ms	(/ (/ 1 (/ (+ x 1.0) (* (+ (/ x y) 1.0) (- (/ x y) 1.0)))) (/ (- (/ x y) 1.0) x))

series275.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ 1 (/ (+ x 1.0) (* (+ (/ x y) 1.0) (- (/ x y) 1.0))))
49.0ms	(* (+ (/ x y) 1.0) (- (/ x y) 1.0))
96.0ms	(/ (+ x 1.0) (* (+ (/ x y) 1.0) (- (/ x y) 1.0)))
63.0ms	(/ (/ 1 (/ (+ x 1.0) (* (+ (/ x y) 1.0) (- (/ x y) 1.0)))) (/ (- (/ x y) 1.0) x))

simplify2.7s

Counts

1452 → 1452

Iterations

Iter	Nodes
done	5001
0	2178

prune8.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes102.0ms

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

sample655.0ms

Algorithm

intervals

Results

467.0ms

9155×

body

valid