Details

Time bar (total: 6.1s)

sample66.0ms

Algorithm
intervals
Results
33.0ms813×body80nan
12.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done18
318
216
112
09

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
15×times-frac
14×add-sqr-sqrt
13×fma-def
12×add-cube-cbrt
4×sqrt-prod distribute-lft-out add-log-exp
3×pow1 div-inv
2×expm1-log1p-u add-cbrt-cube sqrt-div add-exp-log log1p-expm1-u
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 flip3-+ distribute-rgt-out flip3-- pow1/2 frac-add flip-+ flip-- difference-of-squares
Counts
2 → 50
Calls
2 calls:
9.0ms
(sqrt (- 1.0 (* x x)))
49.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series223.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(sqrt (- 1.0 (* x x)))
155.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify2.3s

Counts
56 → 56
Iterations
IterNodes
done5000
34114
21002
1311
0123

prune293.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.9s24094×body80nan
681.0ms8000×body80valid