Details

sample34.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
8.0ms	270×	body	80	nan

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	7
0	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x x))
0.0b	(sqrt (- 1.0 (* x x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`sqrt-prod` `add-log-exp`
3×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
2×	`flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip--` `difference-of-squares`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

2 → 29

Calls

2 calls:

4.0ms	(- 1.0 (* x x))
4.0ms	(sqrt (- 1.0 (* x x)))

series154.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(- 1.0 (* x x))
90.0ms	(sqrt (- 1.0 (* x x)))

simplify724.0ms

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
2	815
1	186
0	76

prune161.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (* (* 1.0 1.0) 1.0) (* (* x x) (* (* x x) (* x x)))) (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))
0.1b	(* (* x x) (* (* x x) (* x x)))
0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* x x))

rewrite757.0ms

Algorithm

rewrite-expression-head

Rules

848×	`pow1`
370×	`pow-prod-up`
175×	`pow-prod-down`
153×	`pow-sqr`
140×	`pow-plus`
99×	`pow2`
71×	`add-cbrt-cube` `add-exp-log`
47×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
5×	`cube-unmult`
4×	`difference-cubes` `pow3` `associate-/l*` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `-commutative` `unswap-sqr`
2×	`swap-sqr` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `flip-+` `div-inv` `flip--`

Counts

4 → 353

Calls

4 calls:

528.0ms	(/ (- (* (* 1.0 1.0) 1.0) (* (* x x) (* (* x x) (* x x)))) (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))
115.0ms	(* (* x x) (* (* x x) (* x x)))
35.0ms	(* (* x x) (* x x))
44.0ms	(* (* x x) (* x x))

series512.0ms

Counts

4 → 12

Calls

4 calls:

315.0ms	(/ (- (* (* 1.0 1.0) 1.0) (* (* x x) (* (* x x) (* x x)))) (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))
79.0ms	(* (* x x) (* (* x x) (* x x)))
55.0ms	(* (* x x) (* x x))
62.0ms	(* (* x x) (* x x))

simplify4.3s

Counts

365 → 365

Iterations

Iter	Nodes
done	5000
2	3889
1	655
0	196

prune705.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	13

end0.0ms

sample982.0ms

Algorithm

intervals

Results

397.0ms	8000×	body	80	valid
281.0ms	7944×	body	80	nan