Details

sample71.0ms

Algorithm

intervals

Results

22.0ms	285×	body	80	nan
17.0ms	267×	body	80	valid

simplify1.9s

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize40.0ms

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

rewrite229.0ms

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:

181.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
13.0ms	(/ y (* 3.0 (sqrt x)))
14.0ms	(* 3.0 (sqrt x))
11.0ms	(/ 1.0 (* x 9.0))

series270.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
98.0ms	(/ y (* 3.0 (sqrt x)))
67.0ms	(* 3.0 (sqrt x))
35.0ms	(/ 1.0 (* x 9.0))

simplify2.1s

Counts

166 → 166

Iterations

Iter	Nodes
done	5000
2	4174
1	812
0	309

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

177×	`times-frac`
111×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
60×	`sqrt-prod`
31×	`associate-/l*`
18×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/r*`
8×	`div-inv`
7×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`
1×	`prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 213

Calls

4 calls:

23.0ms	(/ (/ y (sqrt x)) 3.0)
6.0ms	(/ y (sqrt x))
5.0ms	(/ y (sqrt x))
6.0ms	(/ 1.0 (* x 9.0))

series232.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(/ (/ y (sqrt x)) 3.0)
67.0ms	(/ y (sqrt x))
61.0ms	(/ y (sqrt x))
18.0ms	(/ 1.0 (* x 9.0))

simplify1.2s

Counts

225 → 225

Iterations

Iter	Nodes
done	5001
2	2635
1	666
0	286

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
151×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
60×	`sqrt-prod`
41×	`associate-/l*`
18×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
12×	`div-inv`
8×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`
2×	`associate-/l/`

Counts

4 → 262

Calls

4 calls:

20.0ms	(/ (/ y (sqrt x)) 3.0)
8.0ms	(/ y (sqrt x))
8.0ms	(/ y (sqrt x))
15.0ms	(/ (/ 1.0 x) 9.0)

series182.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ (/ y (sqrt x)) 3.0)
45.0ms	(/ y (sqrt x))
48.0ms	(/ y (sqrt x))
19.0ms	(/ (/ 1.0 x) 9.0)

simplify1.4s

Counts

274 → 274

Iterations

Iter	Nodes
done	5000
2	3828
1	928
0	382

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite2.6s

Algorithm

rewrite-expression-head

Rules

30334×	`times-frac`
15457×	`add-sqr-sqrt`
15412×	`*-un-lft-identity`
15394×	`add-cube-cbrt`
8692×	`prod-diff`
4182×	`sqrt-prod`
2278×	`distribute-rgt-neg-in`
2277×	`distribute-lft-neg-in`
1087×	`div-inv`
759×	`neg-mul-1`
106×	`fma-neg`
47×	`associate-/l*`
15×	`difference-of-squares`
13×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r*`
6×	`cbrt-undiv` `div-exp`
5×	`add-log-exp`
4×	`div-sub` `distribute-lft-out--`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
2×	`neg-sub0` `clear-num` `frac-2neg` `distribute-frac-neg` `associate-/l/`
1×	`associate--l-` `sub-neg` `flip3--` `diff-log` `frac-sub` `flip--`

Counts

3 → 9105

Calls

3 calls:

723.0ms	(- (/ (/ (- 1.0) 9.0) x) (/ (/ y 3.0) (sqrt x)))
10.0ms	(/ (/ y 3.0) (sqrt x))
15.0ms	(/ (/ (- 1.0) 9.0) x)

series178.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(- (/ (/ (- 1.0) 9.0) x) (/ (/ y 3.0) (sqrt x)))
71.0ms	(/ (/ y 3.0) (sqrt x))
30.0ms	(/ (/ (- 1.0) 9.0) x)

simplify3.7s

Counts

9114 → 9114

Iterations

Iter	Nodes
done	7528
0	7528

prune1.2m

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	26
1	26
0	21

end0.0ms

sample2.2s

Algorithm

intervals

Results

950.0ms	8665×	body	80	nan
580.0ms	8534×	body	80	valid