Details

Time bar (total: 7.6s)

sample190.0ms

Algorithm
intervals
Results
125.0ms753×body80nan
38.0ms256×body80valid

simplify20.0ms

Counts
1 → 1
Iterations
IterNodes
done20
320
218
114
09

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (sqrt (- 1 (* x x))) x)
0.0b
(sqrt (- 1 (* x x)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
25×*-un-lft-identity sqrt-prod
24×times-frac
20×add-cube-cbrt
10×difference-of-squares
8×associate-/l*
4×add-cbrt-cube sqrt-div add-exp-log
3×pow1 associate-/r*
2×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u flip-- add-log-exp associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-exp div-inv
Counts
2 → 72
Calls
2 calls:
11.0ms
(/ (sqrt (- 1 (* x x))) x)
6.0ms
(sqrt (- 1 (* x x)))

series176.0ms

Counts
2 → 6
Calls
2 calls:
120.0ms
(/ (sqrt (- 1 (* x x))) x)
56.0ms
(sqrt (- 1 (* x x)))

simplify1.8s

Counts
78 → 78
Iterations
IterNodes
done5001
32091
2730
1291
0147

prune414.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations
IterNodes
done12
112
09

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.4s23907×body80nan
1.0s8000×body80valid