Details

sample51.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
16.0ms	231×	body	80	nan

simplify13.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
1×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `flip3--` `add-cbrt-cube` `pow1/2` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `difference-of-squares`

Counts

1 → 19

Calls

1 calls:

9.0ms

(sqrt (- 1.0 (* x x)))

series95.0ms

Counts

1 → 3

Calls

1 calls:

95.0ms

(sqrt (- 1.0 (* x x)))

simplify1.6s

Counts

22 → 22

Iterations

Iter	Nodes
done	5005
3	1991
2	488
1	163
0	70

prune69.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* x x) 1/8)
0.0b	(fma (/ (* x x) (sqrt 1.0)) 1/2 (* (/ (* (* x x) 1/8) 1.0) (/ (* x x) (sqrt 1.0))))
0.2b	(* (/ (* (* x x) 1/8) 1.0) (/ (* x x) (sqrt 1.0)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-cbrt-cube` `add-exp-log`
28×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`times-frac`
10×	`pow1`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-l`
4×	`pow-prod-down` `sqrt-prod` `unswap-sqr`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv`
1×	`frac-times` `associate-l/` `associate-r/` `fma-udef`

Counts

3 → 92

Calls

3 calls:

17.0ms	(* (* x x) 1/8)
0.0ms	(fma (/ (* x x) (sqrt 1.0)) 1/2 (* (/ (* (* x x) 1/8) 1.0) (/ (* x x) (sqrt 1.0))))
47.0ms	(* (/ (* (* x x) 1/8) 1.0) (/ (* x x) (sqrt 1.0)))

series417.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* (* x x) 1/8)
254.0ms	(fma (/ (* x x) (sqrt 1.0)) 1/2 (* (/ (* (* x x) 1/8) 1.0) (/ (* x x) (sqrt 1.0))))
122.0ms	(* (/ (* (* x x) 1/8) 1.0) (/ (* x x) (sqrt 1.0)))

simplify1.9s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2225
1	506
0	163

prune357.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

863.0ms	7614×	body	80	nan
540.0ms	8000×	body	80	valid