Details

sample184.0ms

Algorithm

intervals

Results

35.0ms	256×	body	80	valid
28.0ms	279×	body	80	nan

simplify214.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	21
3	21
2	19
1	16
0	9

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

79×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
49×	`times-frac`
30×	`sqrt-prod`
26×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
6×	`associate-/l*`
5×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `flip3--` `pow1/2` `sqrt-div` `div-sub` `div-exp` `flip--`

Counts

3 → 109

Calls

3 calls:

1.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))
22.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
39.0ms	(/ (- 1 x) (+ 1 x))

series155.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))
79.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
70.0ms	(/ (- 1 x) (+ 1 x))

simplify1.9s

Counts

118 → 118

Iterations

Iter	Nodes
3	2406
2	802
1	348
0	174

prune482.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))
0.0b	(/ (- 1 x) (+ 1 x))
0.0b	(log1p (/ (- 1 x) (+ 1 x)))
0.0b	(expm1 (log1p (/ (- 1 x) (+ 1 x))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
24×	`times-frac`
17×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`expm1-log1p-u` `pow1` `distribute-lft-out--`
4×	`associate-/r*` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `div-sub` `div-exp` `log1p-expm1` `flip-+` `div-inv` `flip--` `expm1-udef`

Counts

4 → 94

Calls

4 calls:

1.0ms	(sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))
22.0ms	(/ (- 1 x) (+ 1 x))
0.0ms	(log1p (/ (- 1 x) (+ 1 x)))
0.0ms	(expm1 (log1p (/ (- 1 x) (+ 1 x))))

series370.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))
37.0ms	(/ (- 1 x) (+ 1 x))
81.0ms	(log1p (/ (- 1 x) (+ 1 x)))
103.0ms	(expm1 (log1p (/ (- 1 x) (+ 1 x))))

simplify3.4s

Counts

106 → 106

Iterations

Iter	Nodes
3	3509
2	1176
1	481
0	204

prune589.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
2	13
1	13
0	11

end0.0ms

sample2.6s

Algorithm

intervals

Results

971.0ms	8199×	body	80	nan
949.0ms	8000×	body	80	valid