Details

Time bar (total: 711.0ms)

sample47.0ms

Algorithm
intervals
Results
12.0ms565×body80nan
11.0ms231×body160nan
8.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1119
2129
done129

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))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
add-sqr-sqrt
add-cube-cbrt
pow1 add-log-exp
add-exp-log log-prod sqrt-prod
expm1-log1p-u fma-def add-cbrt-cube log1p-expm1-u
log-div flip3-+ sqrt-div flip-+ distribute-lft-out
+-commutative rem-sqrt-square flip3-- sqrt-pow1 pow1/2 rem-log-exp sum-log log-pow flip-- difference-of-squares
Counts
3 → 52
Calls
3 calls:
9.0ms
(log (+ x (sqrt (- (* x x) 1.0))))
9.0ms
(+ x (sqrt (- (* x x) 1.0)))
6.0ms
(sqrt (- (* x x) 1.0))

series315.0ms

Counts
3 → 9
Calls
3 calls:
192.0ms
(log (+ x (sqrt (- (* x x) 1.0))))
67.0ms
(+ x (sqrt (- (* x x) 1.0)))
56.0ms
(sqrt (- (* x x) 1.0))

simplify309.0ms

Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
0146832
1340752
2978682