Details

sample32.0ms

Algorithm

intervals

Results

8.0ms	276×	body	80	valid
7.0ms	260×	body	80	nan

simplify17.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	47	7
2	73	7
3	92	7
4	105	7
5	128	7
6	161	7
7	210	7
8	244	7
9	244	7
done	244	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

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)))
0.3b	(* 3.0 (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

96.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
9.0ms	(/ y (* 3.0 (sqrt x)))
13.0ms	(* 3.0 (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))

series159.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
59.0ms	(/ y (* 3.0 (sqrt x)))
35.0ms	(* 3.0 (sqrt x))
19.0ms	(/ 1.0 (* x 9.0))

simplify51.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	516	590
1	2039	534
2	5001	532
done	5001	532

prune228.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

93.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
9.0ms	(/ y (* 3.0 (sqrt x)))
206.0ms	(* 3.0 (sqrt x))

series141.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
55.0ms	(/ y (* 3.0 (sqrt x)))
38.0ms	(* 3.0 (sqrt x))

simplify45.0ms

Counts

73 → 73

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	435	479
1	1611	433
2	5002	419
done	5002	419

prune165.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* 3.0 (sqrt x))

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 134

Calls

4 calls:

216.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
11.0ms	(/ y (* 3.0 (sqrt x)))
12.0ms	(/ (/ 1.0 x) 9.0)
10.0ms	(* 3.0 (sqrt x))

series158.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
54.0ms	(/ y (* 3.0 (sqrt x)))
17.0ms	(/ (/ 1.0 x) 9.0)
39.0ms	(* 3.0 (sqrt x))

simplify69.0ms

Counts

146 → 146

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	741	956
1	2914	892
2	5001	892
done	5001	892

prune366.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (/ 1 (* 3.0 (sqrt x))))
0.2b	(/ 1 (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
25×	`add-cbrt-cube`
20×	`add-sqr-sqrt`
15×	`prod-exp`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
11×	`pow1`
10×	`div-exp`
9×	`times-frac`
7×	`cbrt-unprod`
6×	`cbrt-undiv` `associate-l` `associate-/l*`
4×	`rec-exp` `1-exp` `sqrt-prod` `add-log-exp`
3×	`pow-prod-down` `div-inv` `unswap-sqr`
2×	`pow-flip` `frac-2neg` `clear-num` `associate-/r` `-commutative`
1×	`associate-*r/` `un-div-inv` `inv-pow`

Counts

4 → 103

Calls

4 calls:

37.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
17.0ms	(/ 1 (* 3.0 (sqrt x)))
10.0ms	(* 3.0 (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))

series151.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
36.0ms	(/ 1 (* 3.0 (sqrt x)))
39.0ms	(* 3.0 (sqrt x))
17.0ms	(/ 1.0 (* x 9.0))

simplify58.0ms

Counts

115 → 115

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	505	538
1	2302	442
2	5001	432
done	5001	432

prune227.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes51.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7
done	13	7

end0.0ms

sample873.0ms

Algorithm

intervals

Results

263.0ms	8519×	body	80	valid
239.0ms	8411×	body	80	nan