Details

sample71.0ms

Algorithm

intervals

Results

21.0ms	302×	body	80	nan
21.0ms	273×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
9	4385
8	1130
7	455
6	200
5	134
4	98
3	73
2	47
1	24
0	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

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))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
56×	`prod-diff`
42×	`add-cube-cbrt`
30×	`times-frac`
23×	`associate--l+`
16×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-lft-out--`
10×	`div-inv`
9×	`add-log-exp` `difference-of-squares`
6×	`pow1` `associate-r` `associate-/l*`
5×	`fma-neg`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `sqrt-prod` `log1p-expm1-u`
3×	`diff-log` `associate-l` `prod-exp` `cbrt-unprod`
2×	`clear-num` `associate-/r*` `sub-neg` `frac-2neg` `flip3--` `frac-sub` `flip--` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `*-commutative`

Counts

4 → 154

Calls

4 calls:

133.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
15.0ms	(/ y (* 3.0 (sqrt x)))
6.0ms	(/ 1.0 (* x 9.0))
8.0ms	(* 3.0 (sqrt x))

series222.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
59.0ms	(/ y (* 3.0 (sqrt x)))
21.0ms	(/ 1.0 (* x 9.0))
69.0ms	(* 3.0 (sqrt x))

simplify2.4s

Counts

166 → 166

Iterations

Iter	Nodes
done	5000
2	4178
1	814
0	309

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 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	(/ (/ y 3.0) (sqrt x))
0.3b	(/ (/ 1.0 x) 9.0)

rewrite652.0ms

Algorithm

rewrite-expression-head

Rules

1734×	`times-frac`
1677×	`add-sqr-sqrt`
1085×	`*-un-lft-identity`
914×	`add-cube-cbrt`
703×	`prod-diff`
359×	`sqrt-prod`
254×	`difference-of-squares`
131×	`associate--l+`
86×	`distribute-lft-out--`
82×	`div-inv`
39×	`associate-/l*`
19×	`add-cbrt-cube` `add-exp-log`
15×	`associate-/r*`
9×	`cbrt-undiv` `div-exp` `add-log-exp`
7×	`fma-neg`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`clear-num` `frac-2neg` `diff-log` `associate-/l/`
2×	`sub-neg` `flip3--` `frac-sub` `flip--`
1×	`associate--l-`

Counts

4 → 1037

Calls

4 calls:

467.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
12.0ms	(/ (/ y 3.0) (sqrt x))
11.0ms	(/ (/ y 3.0) (sqrt x))
17.0ms	(/ (/ 1.0 x) 9.0)

series251.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
84.0ms	(/ (/ y 3.0) (sqrt x))
80.0ms	(/ (/ y 3.0) (sqrt x))
20.0ms	(/ (/ 1.0 x) 9.0)

simplify2.5s

Counts

1049 → 1049

Iterations

Iter	Nodes
done	5001
1	3448
0	1277

prune7.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

1839×	`times-frac`
884×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
648×	`sqrt-prod`
121×	`associate-/l*`
74×	`div-inv`
28×	`add-cbrt-cube` `add-exp-log`
24×	`associate-/r*`
15×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp` `associate-/l/`

Counts

4 → 941

Calls

4 calls:

42.0ms	(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))
16.0ms	(/ (/ 1.0 x) (sqrt 9.0))
19.0ms	(/ (/ y 3.0) (sqrt x))
16.0ms	(/ (/ y 3.0) (sqrt x))

series350.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))
86.0ms	(/ (/ 1.0 x) (sqrt 9.0))
70.0ms	(/ (/ y 3.0) (sqrt x))
88.0ms	(/ (/ y 3.0) (sqrt x))

simplify2.0s

Counts

953 → 953

Iterations

Iter	Nodes
done	5000
1	2344
0	1020

prune4.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

348×	`times-frac`
190×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
108×	`sqrt-prod`
36×	`associate-/l*`
28×	`add-cbrt-cube` `add-exp-log`
25×	`div-inv`
19×	`associate-/r*`
13×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l/`
2×	`prod-exp` `cbrt-unprod`

Counts

4 → 325

Calls

4 calls:

24.0ms	(/ (/ 1.0 (* x (sqrt 9.0))) (sqrt 9.0))
7.0ms	(/ 1.0 (* x (sqrt 9.0)))
18.0ms	(/ (/ y 3.0) (sqrt x))
23.0ms	(/ (/ y 3.0) (sqrt x))

series416.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(/ (/ 1.0 (* x (sqrt 9.0))) (sqrt 9.0))
105.0ms	(/ 1.0 (* x (sqrt 9.0)))
84.0ms	(/ (/ y 3.0) (sqrt x))
88.0ms	(/ (/ y 3.0) (sqrt x))

simplify1.8s

Counts

337 → 337

Iterations

Iter	Nodes
done	5001
2	3890
1	884
0	375

prune2.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	27
1	27
0	23

end0.0ms

sample2.2s

Algorithm

intervals

Results

991.0ms	8431×	body	80	nan
739.0ms	8510×	body	80	valid