Details

sample69.0ms

Algorithm

intervals

Results

20.0ms	271×	body	80	valid
17.0ms	270×	body	80	nan

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

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)))
0.2b	(* 3.0 (sqrt x))
0.4b	(/ 1.0 (* x 9.0))

rewrite192.0ms

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:

144.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
9.0ms	(/ y (* 3.0 (sqrt x)))
21.0ms	(* 3.0 (sqrt x))
12.0ms	(/ 1.0 (* x 9.0))

series215.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
84.0ms	(/ y (* 3.0 (sqrt x)))
48.0ms	(* 3.0 (sqrt x))
24.0ms	(/ 1.0 (* x 9.0))

simplify2.0s

Counts

166 → 166

Iterations

Iter	Nodes
done	5000
2	4174
1	812
0	309

prune896.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

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:

5.0ms	(/ y (sqrt x))
5.0ms	(/ y (sqrt x))
12.0ms	(/ (/ y (sqrt x)) 3.0)
6.0ms	(/ 1.0 (* x 9.0))

series253.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(/ y (sqrt x))
68.0ms	(/ y (sqrt x))
77.0ms	(/ (/ y (sqrt x)) 3.0)
32.0ms	(/ 1.0 (* x 9.0))

simplify1.1s

Counts

225 → 225

Iterations

Iter	Nodes
done	5000
2	2774
1	680
0	286

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

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:

18.0ms	(/ y (sqrt x))
9.0ms	(/ y (sqrt x))
19.0ms	(/ (/ y (sqrt x)) 3.0)
9.0ms	(/ (/ 1.0 x) 9.0)

series255.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ y (sqrt x))
46.0ms	(/ y (sqrt x))
105.0ms	(/ (/ y (sqrt x)) 3.0)
33.0ms	(/ (/ 1.0 x) 9.0)

simplify1.8s

Counts

274 → 274

Iterations

Iter	Nodes
done	5001
2	4003
1	929
0	382

prune1.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1.0 (* x 9.0))
0.4b	(/ 1.0 (* x 9.0))
0.4b	(/ (/ (- 1.0) 9.0) x)
15.8b	(+ (/ (/ (- 1.0) 9.0) x) (- (/ 1.0 (* x 9.0)) (/ (/ y 3.0) (sqrt x))))

rewrite625.0ms

Algorithm

rewrite-expression-head

Rules

1590×	`times-frac`
870×	`*-un-lft-identity`
865×	`add-sqr-sqrt` `add-cube-cbrt`
576×	`associate-+r+`
574×	`prod-diff`
273×	`sqrt-prod`
142×	`div-inv`
106×	`fma-def`
63×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
40×	`associate-/l*`
21×	`neg-mul-1`
19×	`add-cbrt-cube` `add-exp-log`
9×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `pow1` `div-sub` `log1p-expm1-u`
3×	`clear-num` `frac-2neg` `frac-add`
2×	`neg-sub0` `sum-log` `prod-exp` `distribute-frac-neg` `cbrt-unprod` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `flip3--` `diff-log` `frac-sub` `associate-+l-` `flip-+` `flip--` `distribute-lft-out--` `associate-/l/`

Counts

4 → 907

Calls

4 calls:

6.0ms	(/ 1.0 (* x 9.0))
10.0ms	(/ 1.0 (* x 9.0))
18.0ms	(/ (/ (- 1.0) 9.0) x)
452.0ms	(+ (/ (/ (- 1.0) 9.0) x) (- (/ 1.0 (* x 9.0)) (/ (/ y 3.0) (sqrt x))))

series191.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ 1.0 (* x 9.0))
32.0ms	(/ 1.0 (* x 9.0))
25.0ms	(/ (/ (- 1.0) 9.0) x)
106.0ms	(+ (/ (/ (- 1.0) 9.0) x) (- (/ 1.0 (* x 9.0)) (/ (/ y 3.0) (sqrt x))))

simplify2.2s

Counts

919 → 919

Iterations

Iter	Nodes
done	5000
1	4089
0	1672

prune8.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify15.0ms

Iterations

Iter	Nodes
done	50
3	50
2	49
1	35
0	22

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.0s	8505×	body	80	valid
694.0ms	8652×	body	80	nan