Details

sample86.0ms

Algorithm

intervals

Results

31.0ms	296×	body	80	nan
21.0ms	272×	body	80	valid

simplify146.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	47	14
3	71	14
4	83	14
5	90	14
6	105	14
7	125	14
8	136	14
done	136	14

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.2b	(/ y (* 3.0 (sqrt x)))
0.2b	(* 3.0 (sqrt x))
0.3b	(/ 1.0 (* x 9.0))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
6×	`pow1` `times-frac` `associate-r` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `sqrt-prod`
3×	`associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 78

Calls

4 calls:

19.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
9.0ms	(/ y (* 3.0 (sqrt x)))
10.0ms	(* 3.0 (sqrt x))
12.0ms	(/ 1.0 (* x 9.0))

series188.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
65.0ms	(/ y (* 3.0 (sqrt x)))
63.0ms	(* 3.0 (sqrt x))
18.0ms	(/ 1.0 (* x 9.0))

simplify3.1s

Counts

90 → 90

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	186	843
1	420	777
2	1238	691
3	4863	681
done	5000	681

prune249.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.3b	(/ (/ y 3.0) (sqrt x))
0.3b	(/ 1.0 (* x 9.0))

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
101×	`add-sqr-sqrt`
90×	`*-un-lft-identity`
83×	`add-cube-cbrt`
44×	`sqrt-prod`
16×	`associate-/l*`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
9×	`div-inv`
7×	`associate-/r*`
6×	`difference-of-squares`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `diff-log` `distribute-lft-out--`
3×	`sub-neg` `flip3--` `flip--`
2×	`frac-2neg` `associate--l+` `clear-num` `frac-sub`
1×	`associate--l-` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 172

Calls

4 calls:

178.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
12.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
24.0ms	(/ (/ y 3.0) (sqrt x))
15.0ms	(/ 1.0 (* x 9.0))

series231.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
56.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
80.0ms	(/ (/ y 3.0) (sqrt x))
35.0ms	(/ 1.0 (* x 9.0))

simplify1.4s

Counts

184 → 184

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	336	2819
1	765	2578
2	2013	2500
done	5001	2483

prune630.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
0.0b	(- 1.0 (/ (/ 1.0 x) 9.0))
0.2b	(/ (/ 1.0 x) 9.0)
0.3b	(/ (/ y 3.0) (sqrt x))

rewrite438.0ms

Algorithm

rewrite-expression-head

Rules

225×	`times-frac`
148×	`add-sqr-sqrt`
130×	`*-un-lft-identity`
123×	`add-cube-cbrt`
44×	`sqrt-prod`
26×	`associate-/l*`
14×	`add-exp-log` `add-cbrt-cube`
13×	`div-inv`
11×	`add-log-exp`
9×	`associate-/r*`
8×	`difference-of-squares`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `diff-log` `distribute-lft-out--`
3×	`sub-neg` `flip3--` `flip--`
2×	`frac-2neg` `associate--l+` `clear-num` `frac-sub` `associate-/l/`
1×	`associate--l-`

Counts

4 → 223

Calls

4 calls:

341.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
36.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
19.0ms	(/ (/ 1.0 x) 9.0)
26.0ms	(/ (/ y 3.0) (sqrt x))

series230.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
51.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
25.0ms	(/ (/ 1.0 x) 9.0)
88.0ms	(/ (/ y 3.0) (sqrt x))

simplify1.5s

Counts

235 → 235

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	436	3538
1	993	3253
2	2429	3171
done	5000	3154

prune692.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ (/ 1.0 x) 9.0))
0.2b	(/ (/ 1.0 x) 9.0)
0.2b	(/ (sqrt x) (/ y 3.0))
0.9b	(/ 1 (/ (sqrt x) (/ y 3.0)))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

996×	`times-frac`
492×	`add-sqr-sqrt`
485×	`*-un-lft-identity`
483×	`add-cube-cbrt`
198×	`sqrt-prod`
99×	`associate-/r*`
42×	`div-inv`
35×	`add-exp-log`
23×	`add-cbrt-cube`
22×	`associate-/l*`
21×	`div-exp`
12×	`cbrt-undiv`
6×	`associate-/r/` `add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `difference-of-squares`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `flip--` `associate-/l/` `distribute-lft-out--` `inv-pow`

Counts

4 → 558

Calls

4 calls:

34.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
17.0ms	(/ (/ 1.0 x) 9.0)
17.0ms	(/ (sqrt x) (/ y 3.0))
51.0ms	(/ 1 (/ (sqrt x) (/ y 3.0)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
27.0ms	(/ (/ 1.0 x) 9.0)
66.0ms	(/ (sqrt x) (/ y 3.0))
85.0ms	(/ 1 (/ (sqrt x) (/ y 3.0)))

simplify2.1s

Counts

570 → 570

Iterations

Useful iterations: 2 (1.2s)

Iter	Nodes	Cost
0	801	10189
1	1802	8358
2	4075	7634
done	5001	7634

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	16	16
done	16	16

end0.0ms

sample1.7s

Algorithm

intervals

Results

609.0ms	8533×	body	80	valid
537.0ms	8576×	body	80	nan