Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

301×

body

valid

simplify121.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
8.1b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite89.0ms

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:

53.0ms	(* x (+ (/ x y) 1.0))
35.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series99.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* x (+ (/ x y) 1.0))
63.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.1s

Counts

56 → 56

Iterations

Iter	Nodes
done	5005
2	1347
1	321
0	102

prune222.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite123.0ms

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:

58.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
59.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series132.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
83.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.4s

Counts

152 → 152

Iterations

Iter	Nodes
done	5008
2	2107
1	557
0	206

prune641.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize23.0ms

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

rewrite194.0ms

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:

53.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
41.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
51.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series248.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
79.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
60.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify2.1s

Counts

463 → 463

Iterations

Iter	Nodes
done	5009
2	3983
1	1480
0	510

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

733×	`times-frac`
543×	`*-un-lft-identity`
299×	`add-sqr-sqrt` `add-cube-cbrt`
122×	`distribute-lft-out`
39×	`div-inv`
31×	`associate-/r/`
26×	`add-exp-log` `associate-/l*`
17×	`associate-/r*` `div-exp`
16×	`flip3-+` `add-cbrt-cube` `flip-+`
9×	`cbrt-undiv`
3×	`associate-/l/`
2×	`pow1` `rec-exp` `clear-num` `frac-2neg` `1-exp` `add-log-exp`

Counts

2 → 385

Calls

2 calls:

33.0ms	(/ (+ 1.0 (/ x y)) (+ x 1.0))
53.0ms	(/ (/ (+ 1.0 (/ x y)) (+ x 1.0)) (/ 1 x))

series80.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (+ 1.0 (/ x y)) (+ x 1.0))
47.0ms	(/ (/ (+ 1.0 (/ x y)) (+ x 1.0)) (/ 1 x))

simplify1.8s

Counts

391 → 391

Iterations

Iter	Nodes
done	5004
2	4631
1	1652
0	501

prune899.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample819.0ms

Algorithm

intervals

Results

655.0ms

9190×

body

valid