Details

sample38.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
9.0ms	229×	body	80	nan

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	7	6
2	11	6
3	13	6
done	13	6

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`sqrt-prod` `add-log-exp`
3×	`pow1` `fma-neg` `prod-diff`
2×	`add-exp-log` `expm1-log1p-u` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--` `log1p-expm1-u` `difference-of-squares`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log`

Counts

2 → 39

Calls

2 calls:

14.0ms	(sqrt (- 1.0 (* x x)))
13.0ms	(- 1.0 (* x x))

series155.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(sqrt (- 1.0 (* x x)))
71.0ms	(- 1.0 (* x x))

simplify1.4s

Counts

45 → 45

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	87	473
1	190	433
2	521	394
3	1758	386
done	5000	364

prune184.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* x x))
0.0b	(log1p (expm1 (sqrt (- 1.0 (* x x)))))
0.0b	(sqrt (- 1.0 (* x x)))
1.0b	(expm1 (sqrt (- 1.0 (* x x))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`pow1` `log1p-expm1-u`
4×	`add-exp-log` `expm1-log1p-u` `sqrt-prod` `add-cbrt-cube`
3×	`fma-neg` `prod-diff`
2×	`flip3--` `sqrt-div` `flip--` `difference-of-squares`
1×	`sub-neg` `rem-sqrt-square` `log1p-udef` `expm1-log1p` `sqrt-pow1` `pow1/2` `diff-log` `log1p-expm1` `expm1-udef`

Counts

4 → 61

Calls

4 calls:

6.0ms	(- 1.0 (* x x))
0.0ms	(log1p (expm1 (sqrt (- 1.0 (* x x)))))
12.0ms	(sqrt (- 1.0 (* x x)))
1.0ms	(expm1 (sqrt (- 1.0 (* x x))))

series519.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- 1.0 (* x x))
288.0ms	(log1p (expm1 (sqrt (- 1.0 (* x x)))))
81.0ms	(sqrt (- 1.0 (* x x)))
104.0ms	(expm1 (sqrt (- 1.0 (* x x))))

simplify1.8s

Counts

73 → 73

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	123	793
1	262	712
2	758	651
3	2838	641
done	5000	633

prune275.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
done	7	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

389.0ms	8000×	body	80	valid
345.0ms	7970×	body	80	nan