Details

sample58.0ms

Algorithm

intervals

Results

17.0ms	272×	body	80	valid
13.0ms	240×	body	80	nan

simplify172.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
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×	`frac-2neg` `clear-num` `associate-/r*` `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:

12.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
8.0ms	(/ 1.0 (* x 9.0))
14.0ms	(/ y (* 3.0 (sqrt x)))
17.0ms	(* 3.0 (sqrt x))

series194.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
26.0ms	(/ 1.0 (* x 9.0))
78.0ms	(/ y (* 3.0 (sqrt x)))
45.0ms	(* 3.0 (sqrt x))

simplify3.0s

Counts

90 → 90

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	186	843
1	420	777
2	1239	691
3	4867	681
done	5000	681

prune304.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
101×	`add-sqr-sqrt`
90×	`*-un-lft-identity`
83×	`add-cube-cbrt`
44×	`sqrt-prod`
16×	`associate-/l*`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
9×	`div-inv`
7×	`associate-/r*`
6×	`difference-of-squares`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `diff-log` `distribute-lft-out--`
3×	`sub-neg` `flip3--` `flip--`
2×	`frac-2neg` `associate--l+` `clear-num` `frac-sub`
1×	`associate--l-` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 172

Calls

4 calls:

12.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
145.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
13.0ms	(/ 1.0 (* x 9.0))
22.0ms	(/ (/ y 3.0) (sqrt x))

series178.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
59.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
19.0ms	(/ 1.0 (* x 9.0))
63.0ms	(/ (/ y 3.0) (sqrt x))

simplify1.0s

Counts

184 → 184

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	336	2819
1	765	2578
2	2015	2500
done	5000	2483

prune552.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
61×	`times-frac`
47×	`*-un-lft-identity`
41×	`add-cube-cbrt`
35×	`add-exp-log`
25×	`sqrt-prod`
23×	`add-cbrt-cube`
22×	`associate-r`
13×	`associate-l`
12×	`div-exp`
10×	`unswap-sqr`
9×	`prod-exp`
8×	`pow1`
7×	`cbrt-undiv` `associate-/r*`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-unprod`
4×	`div-inv`
3×	`rec-exp` `pow-flip` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `sub-neg` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 150

Calls

4 calls:

17.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
11.0ms	(/ 1 (sqrt x))
12.0ms	(/ 1.0 (* x 9.0))
49.0ms	(* (/ y 3.0) (/ 1 (sqrt x)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
37.0ms	(/ 1 (sqrt x))
20.0ms	(/ 1.0 (* x 9.0))
84.0ms	(* (/ y 3.0) (/ 1 (sqrt x)))

simplify1.5s

Counts

162 → 162

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	274	1756
1	672	1434
2	1772	1262
done	5000	1254

prune442.0ms

Pruning

9 alts after pruning (9 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)))
0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ y 3.0) (pow x -1/2)))
0.2b	(/ 1.0 (* x 9.0))
0.3b	(* (/ y 3.0) (pow x -1/2))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

16.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
141.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ y 3.0) (pow x -1/2)))
12.0ms	(/ 1.0 (* x 9.0))
32.0ms	(* (/ y 3.0) (pow x -1/2))

series194.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
45.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ y 3.0) (pow x -1/2)))
18.0ms	(/ 1.0 (* x 9.0))
81.0ms	(* (/ y 3.0) (pow x -1/2))

simplify992.0ms

Counts

108 → 108

Iterations

Useful iterations: done (988.0ms)

Iter	Nodes	Cost
0	216	1437
1	524	1315
2	1708	1231
done	5000	1209

prune281.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	14	15
done	14	15

end0.0ms

sample1.9s

Algorithm

intervals

Results

883.0ms	8540×	body	80	valid
500.0ms	8314×	body	80	nan