Details

Time bar (total: 7.7s)

sample149.0ms

Algorithm
intervals
Results
77.0ms799×body80nan
27.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
318
218
114
09

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity
37×times-frac
34×add-sqr-sqrt
28×sqrt-prod
25×add-cube-cbrt
10×difference-of-squares
8×distribute-lft-out associate-/l*
7×div-inv
5×add-cbrt-cube add-exp-log add-log-exp
4×pow1 sqrt-div
3×associate-/r* distribute-rgt-out insert-posit16
2×flip3-- flip-- associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square clear-num sum-log frac-2neg sqrt-pow1 flip3-+ pow1/2 div-exp frac-add distribute-rgt1-in flip-+
Counts
3 → 93
Calls
3 calls:
9.0ms
(/ (sqrt (- 1 (* x x))) x)
4.0ms
(sqrt (- 1 (* x x)))
17.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

series356.0ms

Counts
3 → 9
Calls
3 calls:
152.0ms
(/ (sqrt (- 1 (* x x))) x)
85.0ms
(sqrt (- 1 (* x x)))
117.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

simplify1.2s

Counts
102 → 102
Iterations
IterNodes
32979
2984
1379
0183

prune962.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
212
112
09

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.9s24271×body80nan
1.0s8000×body80valid