Details

sample50.0ms

Algorithm

intervals

Results

15.0ms	272×	body	80	valid
14.0ms	295×	body	80	nan

simplify2.0s

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

13.0ms	(- 1.0 (/ 1.0 (* 9.0 x)))
13.0ms	(/ y (* 3.0 (sqrt x)))
14.0ms	(* 3.0 (sqrt x))
6.0ms	(/ 1.0 (* 9.0 x))

series248.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- 1.0 (/ 1.0 (* 9.0 x)))
109.0ms	(/ y (* 3.0 (sqrt x)))
75.0ms	(* 3.0 (sqrt x))
25.0ms	(/ 1.0 (* 9.0 x))

simplify920.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1884
1	437
0	186

prune532.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

225×	`times-frac`
128×	`add-sqr-sqrt`
126×	`*-un-lft-identity`
124×	`add-cube-cbrt`
37×	`associate-/l*`
36×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
16×	`add-cbrt-cube` `add-exp-log`
12×	`neg-mul-1`
6×	`pow1` `associate-r` `distribute-frac-neg` `div-inv` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r*` `div-sub` `sqrt-prod`
3×	`associate-l`
2×	`neg-sub0` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3-+` `unsub-neg` `pow-prod-down` `*-commutative` `flip-+` `distribute-lft-out` `associate-/l/`

Counts

4 → 214

Calls

4 calls:

38.0ms	(+ 1.0 (/ (/ (- 1.0) x) 9.0))
16.0ms	(/ (/ (- 1.0) x) 9.0)
11.0ms	(/ y (* 3.0 (sqrt x)))
8.0ms	(* 3.0 (sqrt x))

series208.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ 1.0 (/ (/ (- 1.0) x) 9.0))
22.0ms	(/ (/ (- 1.0) x) 9.0)
91.0ms	(/ y (* 3.0 (sqrt x)))
44.0ms	(* 3.0 (sqrt x))

simplify1.8s

Counts

226 → 226

Iterations

Iter	Nodes
done	5001
2	4817
1	1081
0	439

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

505×	`times-frac`
288×	`add-sqr-sqrt`
270×	`*-un-lft-identity`
266×	`add-cube-cbrt`
84×	`sqrt-prod`
82×	`associate-r`
47×	`associate-/l*`
36×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
33×	`add-exp-log`
23×	`add-cbrt-cube`
20×	`div-inv`
15×	`div-exp`
12×	`neg-mul-1`
9×	`cbrt-undiv` `associate-/r*`
7×	`unswap-sqr`
6×	`pow1` `distribute-frac-neg` `add-log-exp`
5×	`prod-exp`
4×	`div-sub`
3×	`associate-l` `cbrt-unprod`
2×	`neg-sub0` `rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3-+` `unsub-neg` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 395

Calls

4 calls:

56.0ms	(+ 1.0 (/ (/ (- 1.0) x) 9.0))
73.0ms	(* y (/ (/ 1 3.0) (sqrt x)))
28.0ms	(/ (/ (- 1.0) x) 9.0)
19.0ms	(/ (/ 1 3.0) (sqrt x))

series193.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ 1.0 (/ (/ (- 1.0) x) 9.0))
84.0ms	(* y (/ (/ 1 3.0) (sqrt x)))
24.0ms	(/ (/ (- 1.0) x) 9.0)
46.0ms	(/ (/ 1 3.0) (sqrt x))

simplify1.3s

Counts

407 → 407

Iterations

Iter	Nodes
done	5001
1	1700
0	648

prune2.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

260×	`times-frac`
144×	`add-sqr-sqrt`
134×	`*-un-lft-identity` `add-cube-cbrt`
61×	`add-exp-log`
46×	`add-cbrt-cube`
44×	`associate-/l*`
36×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
23×	`cbrt-undiv` `div-exp`
20×	`associate-r`
18×	`prod-exp` `cbrt-unprod`
14×	`sqrt-prod`
12×	`neg-mul-1`
10×	`div-inv`
9×	`associate-l`
8×	`pow1`
5×	`cbrt-prod` `unswap-sqr`
4×	`associate-/r*` `add-log-exp`
2×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `distribute-frac-neg` `*-commutative` `associate-/l/`
1×	`neg-sub0` `associate-*r/`

Counts

4 → 269

Calls

4 calls:

75.0ms	(* y (/ (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0))) (* (sqrt x) (cbrt 3.0))))
29.0ms	(/ (/ (- 1.0) x) 9.0)
38.0ms	(/ (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0))) (* (sqrt x) (cbrt 3.0)))
18.0ms	(* (sqrt x) (cbrt 3.0))

series469.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* y (/ (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0))) (* (sqrt x) (cbrt 3.0))))
42.0ms	(/ (/ (- 1.0) x) 9.0)
151.0ms	(/ (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0))) (* (sqrt x) (cbrt 3.0)))
104.0ms	(* (sqrt x) (cbrt 3.0))

simplify808.0ms

Counts

281 → 281

Iterations

Iter	Nodes
done	5000
1	1455
0	543

prune2.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes171.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	29
1	29
0	23

end0.0ms

sample1.8s

Algorithm

intervals

Results

716.0ms	8503×	body	80	valid
615.0ms	8406×	body	80	nan