Details

Time bar (total: 5.4s)

sample94.0ms

Algorithm
intervals
Results
48.0ms893×body80nan
17.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done16
216
112
09

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize24.0ms

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))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
28×add-sqr-sqrt
27×times-frac
22×add-cube-cbrt
20×sqrt-prod
7×associate-/l*
5×add-cbrt-cube add-exp-log add-log-exp difference-of-squares
4×pow1 sqrt-div distribute-lft-out
3×associate-/r* div-inv
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 → 78
Calls
3 calls:
5.0ms
(sqrt (- 1.0 (* x x)))
15.0ms
(/ (sqrt (- 1.0 (* x x))) x)
73.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series359.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(sqrt (- 1.0 (* x x)))
171.0ms
(/ (sqrt (- 1.0 (* x x))) x)
112.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify1.3s

Counts
87 → 87
Iterations
IterNodes
done5000
21657
1406
0175

prune405.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample3.1s

Algorithm
intervals
Results
2.0s24209×body80nan
552.0ms8000×body80valid