Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	274×	body	80	valid
7.0ms	258×	body	80	nan

simplify102.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	47	14
3	75	14
4	94	14
5	115	14
6	134	14
7	165	14
8	190	14
done	190	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))) (/ y (* 3.0 (sqrt x))))
0.2b	(* 3.0 (sqrt x))
0.3b	(/ y (* 3.0 (sqrt x)))
0.4b	(/ 1.0 (* x 9.0))

rewrite54.0ms

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:

41.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms	(* 3.0 (sqrt x))
4.0ms	(/ y (* 3.0 (sqrt x)))
3.0ms	(/ 1.0 (* x 9.0))

series170.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
44.0ms	(* 3.0 (sqrt x))
59.0ms	(/ y (* 3.0 (sqrt x)))
21.0ms	(/ 1.0 (* x 9.0))

simplify500.0ms

Counts

97 → 97

Iterations

Useful iterations: done (497.0ms)

Iter	Nodes	Cost
0	215	1191
1	521	1098
2	1711	1004
done	5001	998

prune230.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite173.0ms

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:

154.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
5.0ms	(/ (/ 1.0 x) 9.0)
5.0ms	(* 3.0 (sqrt x))
4.0ms	(/ y (* 3.0 (sqrt x)))

series170.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
17.0ms	(/ (/ 1.0 x) 9.0)
44.0ms	(* 3.0 (sqrt x))
63.0ms	(/ y (* 3.0 (sqrt x)))

simplify61.0ms

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	314	1868