Details

sample232.0ms

Algorithm

intervals

Results

37.0ms	256×	body	80	valid
34.0ms	264×	body	80	nan

simplify180.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	23
3	23
2	21
1	18
0	9

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (/ (- 1 x) (+ 1 x)))
0.0b	(/ (- 1 x) (+ 1 x))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
55×	`add-sqr-sqrt`
49×	`times-frac`
30×	`sqrt-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
6×	`associate-/l*`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `associate-/r/`
3×	`pow1`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `insert-posit16` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `flip3--` `pow1/2` `sqrt-div` `div-sub` `div-exp` `flip--`

Counts

2 → 95

Calls

2 calls:

20.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
21.0ms	(/ (- 1 x) (+ 1 x))

series377.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
286.0ms	(/ (- 1 x) (+ 1 x))

simplify5.8s

Counts

101 → 101

Iterations

Iter	Nodes
4	6310
3	1829
2	685
1	312
0	155

prune965.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* (/ (- 1 x) (+ 1 (* x (* x x)))) (+ (* 1 1) (- (* x x) (* 1 x)))))
0.0b	(/ (- 1 x) (+ 1 (* x (* x x))))
0.0b	(* (/ (- 1 x) (+ 1 (* x (* x x)))) (+ (* 1 1) (- (* x x) (* 1 x))))
0.1b	(* x (* x x))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
37×	`times-frac`
27×	`associate-l` `add-cube-cbrt`
23×	`pow1`
16×	`add-cbrt-cube` `add-exp-log`
14×	`difference-of-squares`
7×	`distribute-lft-out--`
6×	`flip3-+` `flip-+` `associate-/l*`
5×	`sqrt-div` `associate-r` `pow-prod-down` `prod-exp` `pow-prod-up` `cbrt-unprod`
4×	`frac-times` `associate-*r/` `associate-/r/` `insert-posit16` `add-log-exp`
3×	`associate-/r*` `unswap-sqr`
2×	`cbrt-undiv` `sqrt-pow1` `div-exp` `associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`pow2` `distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-plus` `flip3--` `pow1/2` `div-sub` `cube-unmult` `pow-sqr` `sqrt-prod` `flip--` `distribute-lft-out`

Counts

4 → 138

Calls

4 calls:

31.0ms	(sqrt (* (/ (- 1 x) (+ 1 (* x (* x x)))) (+ (* 1 1) (- (* x x) (* 1 x)))))
28.0ms	(/ (- 1 x) (+ 1 (* x (* x x))))
106.0ms	(* (/ (- 1 x) (+ 1 (* x (* x x)))) (+ (* 1 1) (- (* x x) (* 1 x))))
22.0ms	(* x (* x x))

series295.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(sqrt (* (/ (- 1 x) (+ 1 (* x (* x x)))) (+ (* 1 1) (- (* x x) (* 1 x)))))
45.0ms	(/ (- 1 x) (+ 1 (* x (* x x))))
91.0ms	(* (/ (- 1 x) (+ 1 (* x (* x x)))) (+ (* 1 1) (- (* x x) (* 1 x))))
52.0ms	(* x (* x x))

simplify867.0ms

Counts

150 → 150

Iterations

Iter	Nodes
2	2821
1	745
0	238

prune1.7s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify7.0ms

Iterations

Iter	Nodes
2	23
1	23
0	16

end0.0ms

sample2.1s

Algorithm

intervals

Results

968.0ms	8000×	body	80	valid
835.0ms	8108×	body	80	nan