Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

287×

body

valid

simplify135.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	26	11
3	39	11
4	46	11
5	60	11
6	73	11
7	98	11
8	102	11
9	108	11
10	112	11
11	120	11
12	123	11
13	125	11
done	125	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

29.0ms	(* x (+ (/ x y) 1.0))
16.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series71.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* x (+ (/ x y) 1.0))
46.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.9s

Counts

56 → 56

Iterations

Useful iterations: 3 (845.0ms)

Iter	Nodes	Cost
0	103	719
1	294	689
2	994	593
3	4242	591
done	5000	591

prune115.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

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))

rewrite53.0ms

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-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

2 → 146

Calls

2 calls:

22.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
20.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series110.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
64.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify809.0ms

Counts

152 → 152

Iterations

Useful iterations: done (804.0ms)

Iter	Nodes	Cost
0	207	2958
1	493	2772
2	1650	2658
done	5000	2654

prune266.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ (/ x y) 1.0))
0.2b	(cbrt (+ (/ x y) 1.0))
0.2b	(cbrt (+ (/ x y) 1.0))
6.2b	(/ (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (+ x 1.0) (cbrt (+ (/ x y) 1.0))))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
89×	`*-un-lft-identity`
44×	`cbrt-prod`
39×	`add-sqr-sqrt` `add-cube-cbrt`
34×	`associate-/r*`
25×	`add-exp-log` `distribute-lft-out`
22×	`cbrt-div`
18×	`add-cbrt-cube`
11×	`flip3-+` `flip-+`
10×	`associate-*r/`
9×	`cbrt-undiv` `div-exp`
8×	`associate-/l/`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/r/`
4×	`pow1` `frac-times` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-*l/`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 142

Calls

4 calls:

7.0ms	(cbrt (+ (/ x y) 1.0))
7.0ms	(cbrt (+ (/ x y) 1.0))
7.0ms	(cbrt (+ (/ x y) 1.0))
76.0ms	(/ (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (+ x 1.0) (cbrt (+ (/ x y) 1.0))))

series773.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(cbrt (+ (/ x y) 1.0))
242.0ms	(cbrt (+ (/ x y) 1.0))
239.0ms	(cbrt (+ (/ x y) 1.0))
47.0ms	(/ (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (+ x 1.0) (cbrt (+ (/ x y) 1.0))))

simplify826.0ms

Counts

154 → 154

Iterations

Useful iterations: done (821.0ms)

Iter	Nodes	Cost
0	225	4037
1	633	3832
2	2203	3172
done	5000	3169

prune406.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (pow x 2) y) (* x 1.0))
7.3b	(/ (pow x 2) y)
7.9b	(/ (+ (/ (pow x 2) y) (* x 1.0)) (+ x 1.0))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
36×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`unpow-prod-down`
11×	`associate-/l*`
10×	`add-exp-log`
7×	`associate-/r*` `add-cbrt-cube`
5×	`add-log-exp`
4×	`div-exp` `distribute-lft-out` `unpow2` `sqr-pow`
3×	`pow1` `flip3-+` `flip-+`
2×	`cbrt-undiv` `frac-2neg` `clear-num` `associate-/r/` `div-inv` `associate-/l/`
1×	`+-commutative` `pow-to-exp` `pow-exp` `sum-log`

Counts

3 → 95

Calls

3 calls:

20.0ms	(+ (/ (pow x 2) y) (* x 1.0))
5.0ms	(/ (pow x 2) y)
49.0ms	(/ (+ (/ (pow x 2) y) (* x 1.0)) (+ x 1.0))

series94.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (/ (pow x 2) y) (* x 1.0))
19.0ms	(/ (pow x 2) y)
41.0ms	(/ (+ (/ (pow x 2) y) (* x 1.0)) (+ x 1.0))

simplify1.3s

Counts

104 → 104

Iterations

Useful iterations: 3 (605.0ms)

Iter	Nodes	Cost
0	174	1537
1	374	1451
2	1065	1320
3	3263	1302
done	5000	1302

prune215.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.0b 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

sample393.0ms

Algorithm

intervals

Results

245.0ms

9158×

body

valid