Details

sample39.0ms

Algorithm

intervals

Results

11.0ms	281×	body	80	valid
10.0ms	259×	body	80	nan

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	47	14
3	73	14
4	96	14
5	130	14
6	193	14
7	445	14
8	1118	14
9	4485	14
done	5001	14

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite333.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 134

Calls

4 calls:

280.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
11.0ms	(/ y (* 3.0 (sqrt x)))
24.0ms	(* 3.0 (sqrt x))
13.0ms	(/ (/ 1.0 x) 9.0)

series222.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
88.0ms	(/ y (* 3.0 (sqrt x)))
38.0ms	(* 3.0 (sqrt x))
23.0ms	(/ (/ 1.0 x) 9.0)

simplify1.9s

Counts

146 → 146

Iterations

Useful iterations: 2 (707.0ms)

Iter	Nodes	Cost
0	314	1868
1	793	1729
2	3458	1633
done	5001	1633

prune536.0ms

Pruning

12 alts after pruning (12 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))))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

172.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
11.0ms	(/ y (* 3.0 (sqrt x)))
9.0ms	(/ 1.0 (* x 9.0))
11.0ms	(* 3.0 (sqrt x))

series235.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
86.0ms	(/ y (* 3.0 (sqrt x)))
23.0ms	(/ 1.0 (* x 9.0))
48.0ms	(* 3.0 (sqrt x))

simplify1.2s

Counts

97 → 97

Iterations

Useful iterations: 2 (394.0ms)

Iter	Nodes	Cost
0	215	1191
1	530	1096
2	2295	1004
done	5001	1004

prune357.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite398.0ms

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:

38.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
311.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
18.0ms	(/ (/ 1.0 x) 9.0)
18.0ms	(/ (/ y 3.0) (sqrt x))

series240.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
72.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
25.0ms	(/ (/ 1.0 x) 9.0)
85.0ms	(/ (/ y 3.0) (sqrt x))

simplify1.8s

Counts

235 → 235

Iterations

Useful iterations: 2 (746.0ms)

Iter	Nodes	Cost
0	436	3538
1	1051	3253
2	4235	3171
done	5000	3171

prune838.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* 3.0 (sqrt x)) y)
0.3b	(* 3.0 (sqrt x))
0.3b	(/ (/ 1.0 x) 9.0)
0.4b	(/ 1 (/ (* 3.0 (sqrt x)) y))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

111×	`times-frac`
71×	`add-sqr-sqrt`
67×	`add-cube-cbrt` `*-un-lft-identity`
37×	`add-exp-log`
25×	`add-cbrt-cube`
17×	`div-exp` `associate-/l*`
13×	`associate-/r*`
11×	`div-inv`
10×	`cbrt-undiv`
7×	`pow1`
6×	`associate-r`
5×	`prod-exp`
4×	`sqrt-prod` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-l` `clear-num` `cbrt-unprod`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 169

Calls

4 calls:

21.0ms	(/ (* 3.0 (sqrt x)) y)
18.0ms	(* 3.0 (sqrt x))
21.0ms	(/ (/ 1.0 x) 9.0)
23.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))

series235.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(/ (* 3.0 (sqrt x)) y)
55.0ms	(* 3.0 (sqrt x))
19.0ms	(/ (/ 1.0 x) 9.0)
84.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))

simplify1.9s

Counts

181 → 181

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	353	2133
1	927	1904
2	4191	1784
done	5000	1770

prune629.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes65.0ms

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	17	16
done	17	16

end0.0ms

sample2.2s

Algorithm

intervals

Results

984.0ms	8574×	body	80	valid
590.0ms	8457×	body	80	nan