Details

Time bar (total: 6.6s)

sample110.0ms

Algorithm
intervals
Results
61.0ms893×body80nan
18.0ms256×body80valid

simplify15.0ms

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

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
36×times-frac
35×add-sqr-sqrt
29×add-cube-cbrt
20×sqrt-prod
13×fma-def
7×associate-/l*
5×add-cbrt-cube add-exp-log add-log-exp difference-of-squares
4×pow1 sqrt-div div-inv distribute-lft-out
3×expm1-log1p-u associate-/r* log1p-expm1-u
2×flip3-- flip-- associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square clear-num sum-log frac-2neg sqrt-pow1 flip3-+ distribute-rgt-out pow1/2 div-exp frac-add flip-+
Counts
3 → 97
Calls
3 calls:
6.0ms
(sqrt (- 1.0 (* x x)))
10.0ms
(/ (sqrt (- 1.0 (* x x))) x)
70.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series389.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(sqrt (- 1.0 (* x x)))
176.0ms
(/ (sqrt (- 1.0 (* x x))) x)
132.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify1.4s

Counts
106 → 106
Iterations
IterNodes
done5000
21726
1428
0181

prune624.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample3.9s

Algorithm
intervals
Results
2.2s24209×body80nan
1.1s8000×body80valid