Details

Time bar (total: 12.5s)

sample127.0ms

Algorithm
intervals
Results
69.0ms876×body80nan
22.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Iterations
IterNodes
done16
216
112
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize37.0ms

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))

rewrite157.0ms

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-exp-log add-cbrt-cube 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 distribute-rgt-out frac-2neg sqrt-pow1 flip3-+ pow1/2 div-exp frac-add clear-num sum-log flip-+
Counts
3 → 78
Calls
3 calls:
10.0ms
(sqrt (- 1.0 (* x x)))
25.0ms
(/ (sqrt (- 1.0 (* x x))) x)
117.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series587.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(sqrt (- 1.0 (* x x)))
258.0ms
(/ (sqrt (- 1.0 (* x x))) x)
205.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify5.4s

Counts
87 → 87
Iterations
IterNodes
done5000
34844
21206
1394
0175

prune1.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample4.9s

Algorithm
intervals
Results
2.6s23407×body80nan
1.5s8000×body80valid