Details

sample72.0ms

Algorithm

intervals

Results

21.0ms	272×	body	80	valid
20.0ms	295×	body	80	nan

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	285
1	24	285
2	47	285
3	73	285
4	98	285
5	134	285
6	200	285
7	455	285
8	1130	285
9	4385	285
done	5001	285

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt`
21×	`prod-diff`
16×	`add-cbrt-cube` `add-exp-log`
15×	`times-frac`
6×	`pow1` `associate-r` `associate-/l*` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `sqrt-prod` `log1p-expm1-u`
3×	`fma-neg` `associate-l` `prod-exp` `cbrt-unprod`
2×	`clear-num` `associate-/r*` `frac-2neg` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 110

Calls

4 calls:

11.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
7.0ms	(/ y (* 3.0 (sqrt x)))
8.0ms	(* 3.0 (sqrt x))
6.0ms	(/ 1.0 (* x 9.0))

series551.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
407.0ms	(/ y (* 3.0 (sqrt x)))
64.0ms	(* 3.0 (sqrt x))
27.0ms	(/ 1.0 (* x 9.0))

simplify1.7s

Counts

122 → 122

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	241	32920
1	593	28833
2	2862	24859
done	5001	24679

prune726.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

279×	`times-frac`
213×	`add-sqr-sqrt`
202×	`*-un-lft-identity`
200×	`add-cube-cbrt`
129×	`prod-diff`
18×	`div-inv`
16×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
6×	`pow1` `associate-r` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `associate-/r*` `sqrt-prod` `log1p-expm1-u`
3×	`fma-neg` `associate-l` `difference-of-squares`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out--` `associate-/l/`

Counts

4 → 269

Calls

4 calls:

37.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
7.0ms	(/ y (* 3.0 (sqrt x)))
13.0ms	(/ (/ 1.0 x) 9.0)
13.0ms	(* 3.0 (sqrt x))

series204.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
81.0ms	(/ y (* 3.0 (sqrt x)))
20.0ms	(/ (/ 1.0 x) 9.0)
48.0ms	(* 3.0 (sqrt x))

simplify1.5s

Counts

281 → 281

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	592	149071
1	1577	135877
done	5000	124218

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

417×	`times-frac`
280×	`add-sqr-sqrt`
273×	`*-un-lft-identity`
271×	`add-cube-cbrt`
129×	`prod-diff`
42×	`sqrt-prod`
26×	`associate-/l*`
25×	`div-inv`
13×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r*`
6×	`cbrt-undiv` `div-exp`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `fma-neg` `log1p-expm1-u` `difference-of-squares`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

3 → 336

Calls

3 calls:

31.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
9.0ms	(/ (/ 1.0 x) 9.0)
11.0ms	(/ (/ y 3.0) (sqrt x))

series158.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
19.0ms	(/ (/ 1.0 x) 9.0)
92.0ms	(/ (/ y 3.0) (sqrt x))

simplify1.6s

Counts

345 → 345

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	697	182962
1	1816	167598
done	5001	156472

prune2.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize23.0ms

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))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

559×	`times-frac`
373×	`add-sqr-sqrt`
346×	`*-un-lft-identity`
342×	`add-cube-cbrt`
129×	`prod-diff`
84×	`sqrt-prod`
82×	`associate-r`
33×	`add-exp-log`
32×	`div-inv`
26×	`associate-/l*`
23×	`add-cbrt-cube`
15×	`div-exp`
9×	`cbrt-undiv` `associate-/r*`
7×	`unswap-sqr`
6×	`pow1` `add-log-exp`
5×	`prod-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-neg` `associate-l` `cbrt-unprod` `difference-of-squares`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `associate-r/` `-commutative` `flip--` `distribute-lft-out--`

Counts

4 → 450

Calls

4 calls:

26.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
46.0ms	(* y (/ (/ 1 3.0) (sqrt x)))
10.0ms	(/ (/ 1.0 x) 9.0)
12.0ms	(/ (/ 1 3.0) (sqrt x))

series238.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
94.0ms	(* y (/ (/ 1 3.0) (sqrt x)))
28.0ms	(/ (/ 1.0 x) 9.0)
62.0ms	(/ (/ 1 3.0) (sqrt x))

simplify1.7s

Counts

462 → 462

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	802	218512
1	2200	189775
done	5001	178613

prune2.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes156.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	486
1	21	486
done	21	486

end0.0ms

sample1.8s

Algorithm

intervals

Results

907.0ms	8503×	body	80	valid
480.0ms	8406×	body	80	nan