Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

284×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	28	11
3	41	11
4	52	11
5	66	11
6	78	11
7	108	11
8	124	11
9	137	11
10	143	11
11	248	11
12	538	11
13	1421	11
14	3957	11
done	5000	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
7.9b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

19.0ms	(+ (/ x y) 1.0)
76.0ms	(* x (+ (/ x y) 1.0))
44.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series122.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (/ x y) 1.0)
45.0ms	(* x (+ (/ x y) 1.0))
62.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.0s

Counts

71 → 71

Iterations

Useful iterations: 2 (284.0ms)

Iter	Nodes	Cost
0	107	848
1	329	821
2	1961	723
done	5000	723

prune205.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

158×	`*-un-lft-identity`
146×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
43×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+` `associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 158

Calls

3 calls:

23.0ms	(+ (/ x y) 1.0)
57.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
58.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series175.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (/ x y) 1.0)
64.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
99.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.4s

Counts

167 → 167

Iterations

Useful iterations: 2 (433.0ms)

Iter	Nodes	Cost
0	211	3087
1	570	2926
2	3263	2778
done	5000	2778

prune411.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
0.3b	(cbrt (+ (/ x y) 1.0))
0.3b	(cbrt (+ (/ x y) 1.0))
0.3b	(cbrt (+ (/ x y) 1.0))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

130.0ms	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
21.0ms	(cbrt (+ (/ x y) 1.0))
10.0ms	(cbrt (+ (/ x y) 1.0))
11.0ms	(cbrt (+ (/ x y) 1.0))

series1.2s

Counts

4 → 12

Calls

4 calls:

335.0ms	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
316.0ms	(cbrt (+ (/ x y) 1.0))
296.0ms	(cbrt (+ (/ x y) 1.0))
270.0ms	(cbrt (+ (/ x y) 1.0))

simplify4.9s

Counts

107 → 107

Iterations

Useful iterations: done (4.9s)

Iter	Nodes	Cost
0	101	1636
1	226	1503
2	752	1409
3	4354	1273
done	5000	1266

prune276.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
0.2b	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
7.9b	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

50×	`times-frac`
43×	`*-un-lft-identity`
32×	`add-exp-log`
29×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r*` `associate-/r/`
8×	`flip3-+` `flip-+` `distribute-lft-out`
7×	`pow1` `cbrt-undiv` `associate-/l*`
6×	`div-inv` `add-log-exp`
5×	`prod-exp`
4×	`associate-r`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `sum-log` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 130

Calls

4 calls:

16.0ms	(+ (/ x y) 1.0)
50.0ms	(* x (+ (/ x y) 1.0))
47.0ms	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
32.0ms	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ (/ x y) 1.0)
27.0ms	(* x (+ (/ x y) 1.0))
48.0ms	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
89.0ms	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

simplify1.2s

Counts

142 → 142

Iterations

Useful iterations: 2 (356.0ms)

Iter	Nodes	Cost
0	189	2244
1	532	2052
2	2939	1866
done	5001	1866

prune229.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
done	10	11

end0.0ms

sample915.0ms

Algorithm

intervals

Results

686.0ms

9227×

body

valid