Details

sample40.0ms

Algorithm

intervals

Results

11.0ms	272×	body	80	valid
11.0ms	296×	body	80	nan

simplify120.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	47	14
3	71	14
4	83	14
5	90	14
6	105	14
7	125	14
8	136	14
done	136	14

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt`
21×	`prod-diff`
16×	`add-exp-log` `add-cbrt-cube`
15×	`times-frac`
6×	`pow1` `associate-r` `associate-/l*` `add-log-exp`
5×	`div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `sqrt-prod` `log1p-expm1-u`
3×	`fma-neg` `associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/r*` `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:

36.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
19.0ms	(/ y (* 3.0 (sqrt x)))
21.0ms	(* 3.0 (sqrt x))
11.0ms	(/ 1.0 (* x 9.0))

series221.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
101.0ms	(/ y (* 3.0 (sqrt x)))
48.0ms	(* 3.0 (sqrt x))
34.0ms	(/ 1.0 (* x 9.0))

simplify1.6s

Counts

122 → 122

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	242	1742
1	567	1480
2	1625	1157
done	5000	1000

prune749.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite401.0ms

Algorithm

rewrite-expression-head

Rules

828×	`times-frac`
722×	`add-sqr-sqrt`
711×	`*-un-lft-identity`
538×	`add-cube-cbrt`
452×	`prod-diff`
239×	`sqrt-prod`
89×	`difference-of-squares`
87×	`distribute-lft-out--`
50×	`div-inv`
23×	`associate--l+`
16×	`associate-/l*`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
8×	`fma-neg`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `diff-log` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `flip--`
2×	`frac-2neg` `clear-num` `frac-sub`
1×	`associate--l-` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 640

Calls

4 calls:

248.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
29.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
34.0ms	(/ (/ y 3.0) (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))

series227.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
45.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
84.0ms	(/ (/ y 3.0) (sqrt x))
44.0ms	(/ 1.0 (* x 9.0))

simplify1.0s

Counts

652 → 652

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	932	34751
1	2334	31614
done	5001	24915

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ (/ 1.0 x) 9.0))
0.2b	(/ (/ 1.0 x) 9.0)
0.2b	(/ (/ 1.0 x) 9.0)
0.3b	(/ (/ y 3.0) (sqrt x))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

492×	`times-frac`
323×	`add-sqr-sqrt`
316×	`*-un-lft-identity`
314×	`add-cube-cbrt`
129×	`prod-diff`
42×	`sqrt-prod`
39×	`associate-/l*`
30×	`div-inv`
19×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
9×	`cbrt-undiv` `div-exp`
6×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `fma-neg` `clear-num` `associate-/l/` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 408

Calls

4 calls:

52.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
13.0ms	(/ (/ 1.0 x) 9.0)
11.0ms	(/ (/ 1.0 x) 9.0)
27.0ms	(/ (/ y 3.0) (sqrt x))

series152.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
18.0ms	(/ (/ 1.0 x) 9.0)
23.0ms	(/ (/ 1.0 x) 9.0)
72.0ms	(/ (/ y 3.0) (sqrt x))

simplify2.2s

Counts

420 → 420

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	698	11097
1	1703	10177
2	4793	8124
done	5000	8120

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 1.0 x) 9.0)
0.2b	(/ (/ 1.0 x) 9.0)
0.2b	(/ (sqrt x) (/ y 3.0))
0.9b	(/ 1 (/ (sqrt x) (/ y 3.0)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

1068×	`times-frac`
525×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
198×	`sqrt-prod`
102×	`associate-/r*`
47×	`div-inv`
40×	`add-exp-log`
35×	`associate-/l*`
28×	`add-cbrt-cube`
24×	`div-exp`
15×	`cbrt-undiv`
6×	`associate-/r/`
5×	`pow1`
4×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 620

Calls

4 calls:

11.0ms	(/ (/ 1.0 x) 9.0)
17.0ms	(/ (/ 1.0 x) 9.0)
11.0ms	(/ (sqrt x) (/ y 3.0))
27.0ms	(/ 1 (/ (sqrt x) (/ y 3.0)))

series166.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (/ 1.0 x) 9.0)
18.0ms	(/ (/ 1.0 x) 9.0)
73.0ms	(/ (sqrt x) (/ y 3.0))
58.0ms	(/ 1 (/ (sqrt x) (/ y 3.0)))

simplify2.3s

Counts

632 → 632

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	780	10856
1	1754	8993
2	3963	8243
done	5000	8239

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes53.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	26
1	23	24
done	23	24

end0.0ms

sample2.0s

Algorithm

intervals

Results

936.0ms	8533×	body	80	valid
481.0ms	8576×	body	80	nan