Details

Time bar (total: 6.9s)

sample63.0ms

Algorithm
intervals
Results
31.0ms774×body80nan
12.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done16
216
112
09

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×times-frac
20×*-un-lft-identity add-cube-cbrt sqrt-prod
associate-/l*
difference-of-squares
add-cbrt-cube add-exp-log add-log-exp
pow1 sqrt-div
associate-/r* flip3-- flip--
associate-/l/
cbrt-undiv rem-sqrt-square clear-num sub-neg frac-2neg sqrt-pow1 pow1/2 diff-log div-exp div-inv
Counts
3 → 74
Calls
3 calls:
7.0ms
(sqrt (- 1.0 (* x x)))
7.0ms
(- 1.0 (* x x))
17.0ms
(/ (sqrt (- 1.0 (* x x))) x)

series320.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(sqrt (- 1.0 (* x x)))
53.0ms
(- 1.0 (* x x))
200.0ms
(/ (sqrt (- 1.0 (* x x))) x)

simplify2.4s

Counts
83 → 83
Iterations
IterNodes
done5009
33861
2935
1316
0150

prune414.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample3.6s

Algorithm
intervals
Results
2.3s24187×body80nan
707.0ms8000×body80valid