Details

sample45.0ms

Algorithm

intervals

Results

14.0ms	272×	body	80	valid
11.0ms	296×	body	80	nan

simplify126.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

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))

rewrite43.0ms

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:

11.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
10.0ms	(/ y (* 3.0 (sqrt x)))
10.0ms	(* 3.0 (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))

series227.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
85.0ms	(/ y (* 3.0 (sqrt x)))
52.0ms	(* 3.0 (sqrt x))
28.0ms	(/ 1.0 (* x 9.0))

simplify3.3s

Counts

90 → 90

Iterations

Useful iterations: 3 (1.9s)

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

prune370.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite221.0ms

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:

163.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
18.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
21.0ms	(/ (/ y 3.0) (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))

series207.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
48.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
68.0ms	(/ (/ y 3.0) (sqrt x))
29.0ms	(/ 1.0 (* x 9.0))

simplify1.5s

Counts

184 → 184

Iterations

Useful iterations: done (1.4s)

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

prune570.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite366.0ms

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:

285.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
28.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
12.0ms	(/ (/ 1.0 x) 9.0)
17.0ms	(/ (/ y 3.0) (sqrt x))

series246.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
60.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
28.0ms	(/ (/ 1.0 x) 9.0)
99.0ms	(/ (/ y 3.0) (sqrt x))

simplify1.6s

Counts

235 → 235

Iterations

Useful iterations: done (1.6s)

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

prune858.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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 1) (/ (sqrt x) (/ y 3.0)))

rewrite342.0ms

Algorithm

rewrite-expression-head

Rules

3902×	`times-frac`
1686×	`add-sqr-sqrt`
1679×	`*-un-lft-identity`
1677×	`add-cube-cbrt`
588×	`sqrt-prod`
196×	`div-inv`
99×	`associate-/r*`
74×	`add-exp-log`
60×	`div-exp`
35×	`add-cbrt-cube`
32×	`associate-/l*`
21×	`cbrt-undiv`
16×	`associate-/r/`
15×	`1-exp`
6×	`rec-exp` `add-log-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num` `difference-of-squares`
2×	`associate-/l/`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 1412

Calls

4 calls:

34.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
26.0ms	(/ (/ 1.0 x) 9.0)
18.0ms	(/ (sqrt x) (/ y 3.0))
65.0ms	(/ (/ 1 1) (/ (sqrt x) (/ y 3.0)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
17.0ms	(/ (/ 1.0 x) 9.0)
70.0ms	(/ (sqrt x) (/ y 3.0))
67.0ms	(/ (/ 1 1) (/ (sqrt x) (/ y 3.0)))

simplify4.6s

Counts

1424 → 1424

Iterations

Useful iterations: done (4.6s)

Iter	Nodes	Cost
0	1890	36299
1	4654	24143
done	5000	23873

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes81.0ms

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: 1 (2.0ms)

Iter	Nodes	Cost
0	15	18
1	17	16
done	17	16

end0.0ms

sample1.6s

Algorithm

intervals

Results

574.0ms	8576×	body	80	nan
495.0ms	8533×	body	80	valid