Details

Time bar (total: 6.4s)

sample88.0ms

Algorithm
intervals
Results
40.0ms913×body80nan
14.0ms256×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11213
21613
done1613

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt
add-cube-cbrt
log-prod distribute-lft-out
pow1 add-log-exp
add-exp-log sqrt-prod div-inv
log-div add-cbrt-cube
distribute-rgt-out flip3-+ sqrt-div frac-add flip-+
+-commutative rem-sqrt-square flip3-- sqrt-pow1 pow1/2 rem-log-exp sum-log log-pow flip-- difference-of-squares
Counts
3 → 53
Calls
3 calls:
40.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
10.0ms
(sqrt (- 1.0 (* x x)))
62.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series537.0ms

Counts
3 → 9
Calls
3 calls:
373.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
61.0ms
(sqrt (- 1.0 (* x x)))
103.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify3.3s

Counts
62 → 62
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
01751167
14191112
21185993
34776978
done5001978

prune202.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11013
done1013

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.0s24079×body80nan
421.0ms8000×body80valid