Details

sample70.0ms

Algorithm

intervals

Results

21.0ms	270×	body	80	valid
18.0ms	252×	body	80	nan

simplify2.3s

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

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))

rewrite334.0ms

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:

273.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
20.0ms	(/ y (* 3.0 (sqrt x)))
20.0ms	(/ (/ 1.0 x) 9.0)
10.0ms	(* 3.0 (sqrt x))

series235.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
100.0ms	(/ y (* 3.0 (sqrt x)))
18.0ms	(/ (/ 1.0 x) 9.0)
68.0ms	(* 3.0 (sqrt x))

simplify1.7s

Counts

146 → 146

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	314	1868
1	780	1729
2	3366	1643
done	5001	1633

prune541.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

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))

rewrite436.0ms

Algorithm

rewrite-expression-head

Rules

222×	`times-frac`
138×	`add-sqr-sqrt`
127×	`*-un-lft-identity`
122×	`add-cube-cbrt`
44×	`sqrt-prod`
26×	`associate-/l*`
13×	`add-exp-log` `add-cbrt-cube` `div-inv`
9×	`associate-/r*`
8×	`add-log-exp`
6×	`cbrt-undiv` `div-exp`
5×	`difference-of-squares`
3×	`pow1` `diff-log` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `frac-2neg` `associate--l+` `clear-num` `frac-sub` `flip--` `associate-/l/`
1×	`associate--l-`

Counts

3 → 207

Calls

3 calls:

373.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
24.0ms	(/ (/ 1.0 x) 9.0)
28.0ms	(/ (/ y 3.0) (sqrt x))

series156.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
22.0ms	(/ (/ 1.0 x) 9.0)
69.0ms	(/ (/ y 3.0) (sqrt x))

simplify2.3s

Counts

216 → 216

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	425	3293
1	1030	3029
2	4191	2957
done	5000	2953

prune921.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* 3.0 (sqrt x)) y)
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* 3.0 (sqrt x))
0.3b	(/ 1 (/ (* 3.0 (sqrt x)) y))

rewrite123.0ms

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:

24.0ms	(/ (* 3.0 (sqrt x)) y)
32.0ms	(/ (/ 1.0 x) 9.0)
22.0ms	(* 3.0 (sqrt x))
32.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))

series254.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(/ (* 3.0 (sqrt x)) y)
21.0ms	(/ (/ 1.0 x) 9.0)
40.0ms	(* 3.0 (sqrt x))
80.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))

simplify2.0s

Counts

181 → 181

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	353	2133
1	898	1904
2	4052	1782
done	5000	1778

prune710.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ 1 3.0) (/ (sqrt x) y)))
0.2b	(/ (sqrt x) y)
0.3b	(/ (/ 1.0 x) 9.0)
0.4b	(/ (/ 1 3.0) (/ (sqrt x) y))

rewrite608.0ms

Algorithm

rewrite-expression-head

Rules

859×	`times-frac`
442×	`add-sqr-sqrt`
412×	`*-un-lft-identity`
404×	`add-cube-cbrt`
141×	`sqrt-prod`
44×	`div-inv`
33×	`add-exp-log`
32×	`associate-/l*`
28×	`associate-/r*`
23×	`add-cbrt-cube`
20×	`div-exp`
12×	`cbrt-undiv`
10×	`difference-of-squares`
9×	`add-log-exp`
4×	`pow1`
3×	`frac-2neg` `diff-log` `clear-num` `distribute-lft-out--`
2×	`sub-neg` `rec-exp` `flip3--` `1-exp` `associate--l+` `frac-sub` `flip--` `associate-/l/`
1×	`associate--l-` `associate-/r/`

Counts

4 → 484

Calls

4 calls:

497.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ 1 3.0) (/ (sqrt x) y)))
18.0ms	(/ (sqrt x) y)
11.0ms	(/ (/ 1.0 x) 9.0)
29.0ms	(/ (/ 1 3.0) (/ (sqrt x) y))

series241.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ 1 3.0) (/ (sqrt x) y)))
83.0ms	(/ (sqrt x) y)
29.0ms	(/ (/ 1.0 x) 9.0)
64.0ms	(/ (/ 1 3.0) (/ (sqrt x) y))

simplify2.0s

Counts

496 → 496

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	798	9746
1	2560	8451
done	5000	8208

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes77.0ms

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

sample1.9s

Algorithm

intervals

Results

737.0ms	8510×	body	80	valid
581.0ms	8305×	body	80	nan