Details

sample62.0ms

Algorithm

intervals

Results

18.0ms	276×	body	80	valid
17.0ms	282×	body	80	nan

simplify201.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

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))

rewrite216.0ms

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:

174.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
18.0ms	(/ y (* 3.0 (sqrt x)))
11.0ms	(* 3.0 (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))

series217.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
74.0ms	(/ y (* 3.0 (sqrt x)))
47.0ms	(* 3.0 (sqrt x))
21.0ms	(/ 1.0 (* x 9.0))

simplify1.4s

Counts

97 → 97

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	215	1191
1	511	1096
2	1558	1004
done	5001	981

prune381.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 158

Calls

3 calls:

219.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
18.0ms	(/ (/ y 3.0) (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))

series190.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
98.0ms	(/ (/ y 3.0) (sqrt x))
26.0ms	(/ 1.0 (* x 9.0))

simplify1.5s

Counts

167 → 167

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	329	2616
1	754	2396
2	2002	2324
done	5000	2307

prune670.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
60×	`times-frac`
44×	`*-un-lft-identity`
41×	`add-cube-cbrt`
33×	`add-exp-log`
24×	`sqrt-prod`
23×	`add-cbrt-cube`
22×	`associate-r`
13×	`associate-l`
11×	`div-exp`
9×	`prod-exp` `add-log-exp` `unswap-sqr`
7×	`cbrt-undiv` `associate-/r*`
6×	`pow1` `frac-sub` `associate-/l*`
5×	`cbrt-unprod`
4×	`flip3--` `flip--` `div-inv`
3×	`frac-times` `diff-log` `associate-r/` `associate-l/`
2×	`sub-neg` `rec-exp` `frac-2neg` `1-exp` `associate--l+` `clear-num`
1×	`associate--l-` `pow-prod-down` `*-commutative`

Counts

4 → 150

Calls

4 calls:

131.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
6.0ms	(/ y (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))
30.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

series257.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
64.0ms	(/ y (sqrt x))
33.0ms	(/ 1.0 (* x 9.0))
100.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

simplify1.6s

Counts

162 → 162

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	296	2289
1	740	1951
2	2370	1785
done	5000	1740

prune600.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)

rewrite317.0ms

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:

269.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
17.0ms	(/ y (* 3.0 (sqrt x)))
10.0ms	(* 3.0 (sqrt x))
11.0ms	(/ (/ 1.0 x) 9.0)

series278.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
98.0ms	(/ y (* 3.0 (sqrt x)))
76.0ms	(* 3.0 (sqrt x))
31.0ms	(/ (/ 1.0 x) 9.0)

simplify1.1s

Counts

146 → 146

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	314	1868
1	735	1729
2	1953	1633
done	5000	1610

prune442.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes68.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	18	16
done	18	16

end0.0ms

sample2.1s

Algorithm

intervals

Results

898.0ms	8535×	body	80	nan
634.0ms	8547×	body	80	valid