Details

sample27.0ms

Algorithm

intervals

Results

19.0ms

286×

body

valid

simplify1.3s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.7b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
8.7b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite61.0ms

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` `insert-posit16` `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 → 52

Calls

2 calls:

29.0ms	(* x (+ (/ x y) 1.0))
31.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series77.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* x (+ (/ x y) 1.0))
49.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.1s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
2	1868
1	324
0	104

prune233.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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))

rewrite59.0ms

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` `insert-posit16` `add-log-exp` `associate-/l/`

Counts

2 → 148

Calls

2 calls:

23.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
33.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series159.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
96.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.4s

Counts

154 → 154

Iterations

Iter	Nodes
done	5000
2	3175
1	565
0	208

prune448.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x y) 1.0)
0.1b	(* (+ (/ x y) 1.0) (- (/ x y) 1.0))
0.5b	(* (/ x (+ x 1.0)) (* (+ (/ x y) 1.0) (- (/ x y) 1.0)))
10.2b	(/ (* (/ x (+ x 1.0)) (* (+ (/ x y) 1.0) (- (/ x y) 1.0))) (- (/ x y) 1.0))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`frac-times` `add-cbrt-cube` `add-exp-log`
32×	`*-un-lft-identity`
26×	`associate-*r/`
22×	`times-frac` `associate-l`
17×	`flip3--` `flip--` `associate-/l/`
16×	`flip3-+` `add-cube-cbrt` `flip-+`
13×	`prod-exp` `cbrt-unprod`
12×	`associate-*l/`
11×	`pow1`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`cbrt-undiv` `div-exp`
8×	`difference-of-squares`
7×	`sub-neg` `associate-r`
6×	`associate-/r*` `add-log-exp`
4×	`pow-prod-down` `associate-/r/` `insert-posit16` `distribute-lft-out` `distribute-lft-out--`
2×	`*-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `diff-log` `associate-/l*` `unswap-sqr`

Counts

4 → 167

Calls

4 calls:

12.0ms	(- (/ x y) 1.0)
74.0ms	(* (+ (/ x y) 1.0) (- (/ x y) 1.0))
89.0ms	(* (/ x (+ x 1.0)) (* (+ (/ x y) 1.0) (- (/ x y) 1.0)))
106.0ms	(/ (* (/ x (+ x 1.0)) (* (+ (/ x y) 1.0) (- (/ x y) 1.0))) (- (/ x y) 1.0))

series217.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (/ x y) 1.0)
52.0ms	(* (+ (/ x y) 1.0) (- (/ x y) 1.0))
96.0ms	(* (/ x (+ x 1.0)) (* (+ (/ x y) 1.0) (- (/ x y) 1.0)))
49.0ms	(/ (* (/ x (+ x 1.0)) (* (+ (/ x y) 1.0) (- (/ x y) 1.0))) (- (/ x y) 1.0))

simplify1.1s

Counts

179 → 179

Iterations

Iter	Nodes
done	5000
1	871
0	257

prune661.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (- (/ x y) 1.0))
0.1b	(* (+ (/ x y) 1.0) (- (/ x y) 1.0))
0.5b	(* (/ x (+ x 1.0)) (* (+ (/ x y) 1.0) (- (/ x y) 1.0)))
10.1b	(* (* (/ x (+ x 1.0)) (* (+ (/ x y) 1.0) (- (/ x y) 1.0))) (/ 1 (- (/ x y) 1.0)))

rewrite411.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-exp-log`
77×	`add-sqr-sqrt`
69×	`frac-times`
61×	`add-cbrt-cube`
59×	`*-un-lft-identity`
56×	`times-frac`
51×	`prod-exp`
39×	`associate-*r/`
35×	`add-cube-cbrt`
34×	`associate-*l/`
31×	`associate-r`
29×	`cbrt-unprod`
23×	`flip3--` `associate-l` `flip--`
22×	`flip3-+` `div-exp` `flip-+`
21×	`pow1`
16×	`difference-of-squares`
12×	`cbrt-undiv`
10×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down`
8×	`distribute-lft-out--`
6×	`rec-exp` `associate-/r*` `sub-neg` `1-exp` `associate-/r/`
4×	`insert-posit16` `distribute-lft-out` `add-log-exp`
3×	`-commutative` `div-inv` `associate-/l`
1×	`clear-num` `frac-2neg` `un-div-inv` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 247

Calls

4 calls:

16.0ms	(/ 1 (- (/ x y) 1.0))
60.0ms	(* (+ (/ x y) 1.0) (- (/ x y) 1.0))
96.0ms	(* (/ x (+ x 1.0)) (* (+ (/ x y) 1.0) (- (/ x y) 1.0)))
234.0ms	(* (* (/ x (+ x 1.0)) (* (+ (/ x y) 1.0) (- (/ x y) 1.0))) (/ 1 (- (/ x y) 1.0)))

series292.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ 1 (- (/ x y) 1.0))
55.0ms	(* (+ (/ x y) 1.0) (- (/ x y) 1.0))
113.0ms	(* (/ x (+ x 1.0)) (* (+ (/ x y) 1.0) (- (/ x y) 1.0)))
67.0ms	(* (* (/ x (+ x 1.0)) (* (+ (/ x y) 1.0) (- (/ x y) 1.0))) (/ 1 (- (/ x y) 1.0)))

simplify1.1s

Counts

259 → 259

Iterations

Iter	Nodes
done	5000
1	1262
0	359

prune994.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

862.0ms

9088×

body

valid