Details

Time bar (total: 666.0ms)

sample52.0ms

Algorithm
intervals
Results
17.0ms565×body80nan
11.0ms231×body160nan
8.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1109
2119
done119

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (+ x (sqrt (- (* x x) 1.0))))
0.0b
(+ x (sqrt (- (* x x) 1.0)))
29.8b
(sqrt (- (* x x) 1.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
7×add-sqr-sqrt
5×pow1 add-cube-cbrt add-log-exp
4×add-exp-log log-prod sqrt-prod
3×add-cbrt-cube
2×log-div flip3-+ sqrt-div flip-+ distribute-lft-out
1×+-commutative rem-sqrt-square flip3-- sqrt-pow1 pow1/2 rem-log-exp sum-log log-pow flip-- difference-of-squares
Counts
3 → 43
Calls
3 calls:
9.0ms
(log (+ x (sqrt (- (* x x) 1.0))))
9.0ms
(+ x (sqrt (- (* x x) 1.0)))
5.0ms
(sqrt (- (* x x) 1.0))

series310.0ms

Counts
3 → 9
Calls
3 calls:
188.0ms
(log (+ x (sqrt (- (* x x) 1.0))))
66.0ms
(+ x (sqrt (- (* x x) 1.0)))
55.0ms
(sqrt (- (* x x) 1.0))

simplify265.0ms

Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
0140780
1317714
2874637