Details

Time bar (total: 7.2s)

sample111.0ms

Algorithm
intervals
Results
64.0ms774×body80nan
19.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done18
318
216
112
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize30.0ms

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)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
21×times-frac
20×sqrt-prod
7×associate-/l*
6×difference-of-squares
5×add-cbrt-cube add-exp-log add-log-exp
4×pow1 sqrt-div
3×expm1-log1p-u associate-/r* flip3-- fma-neg prod-diff log1p-expm1-u flip--
2×associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num sub-neg frac-2neg sqrt-pow1 pow1/2 diff-log div-exp div-inv
Counts
3 → 86
Calls
3 calls:
11.0ms
(sqrt (- 1.0 (* x x)))
9.0ms
(- 1.0 (* x x))
20.0ms
(/ (sqrt (- 1.0 (* x x))) x)

series315.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(sqrt (- 1.0 (* x x)))
61.0ms
(- 1.0 (* x x))
172.0ms
(/ (sqrt (- 1.0 (* x x))) x)

simplify2.7s

Counts
95 → 95
Iterations
IterNodes
done5000
34025
21007
1343
0162

prune490.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample3.5s

Algorithm
intervals
Results
2.1s24187×body80nan
742.0ms8000×body80valid