Details

sample148.0ms

Algorithm

intervals

Results

60.0ms	258×	body	160	nan
40.0ms	507×	body	80	nan
24.0ms	256×	body	80	valid

simplify3.9s

Counts

1 → 1

Iterations

Iter	Nodes
9	3422
8	1055
7	442
6	232
5	95
4	58
3	33
2	17
1	14
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.8b

localize26.0ms

Local error

Found 1 expressions with local error:

31.5b

(sqrt (- (* x x) 1))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`sqrt-prod`
4×	`add-sqr-sqrt`
3×	`*-un-lft-identity`
2×	`pow1` `sqrt-div` `add-cube-cbrt` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `add-cbrt-cube` `pow1/2` `difference-of-sqr-1` `add-exp-log` `insert-posit16` `flip--` `add-log-exp`

Counts

1 → 19

Calls

1 calls:

17.0ms

(sqrt (- (* x x) 1))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(sqrt (- (* x x) 1))

simplify3.1s

Counts

22 → 22

Iterations

Iter	Nodes
5	3610
4	1246
3	554
2	250
1	131
0	64

prune238.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (+ x 1))
0.5b	(* (sqrt (+ x 1)) (sqrt (- x 1)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`sqrt-prod`
14×	`*-un-lft-identity` `sqrt-div`
10×	`associate-r`
7×	`pow1` `associate-l` `add-cube-cbrt`
4×	`frac-times` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `unswap-sqr`
3×	`sqrt-pow1` `flip3--` `pow1/2` `pow-prod-down` `flip--`
2×	`associate-l/` `associate-r/` `insert-posit16` `distribute-lft-out` `add-log-exp` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-unprod` `difference-of-sqr-1` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--`

Counts

2 → 61

Calls

2 calls:

6.0ms	(sqrt (+ x 1))
51.0ms	(* (sqrt (+ x 1)) (sqrt (- x 1)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(sqrt (+ x 1))
95.0ms	(* (sqrt (+ x 1)) (sqrt (- x 1)))

simplify1.5s

Counts

67 → 67

Iterations

Iter	Nodes
4	2559
3	1083
2	492
1	242
0	120

prune618.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Iter	Nodes
2	12
1	12
0	9

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.6s	7708×	body	160	nan
1.4s	16328×	body	80	nan
739.0ms	8000×	body	80	valid