Details

Time bar (total: 7.0s)

sample174.0ms

Algorithm
intervals
Results
73.0ms259×body80nan
37.0ms256×body80valid

simplify34.0ms

Calls
1 calls:
Slowest
33.0ms
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
55×add-sqr-sqrt
49×times-frac
30×sqrt-prod
25×add-cube-cbrt
18×difference-of-squares
13×distribute-lft-out
9×distribute-lft-out--
6×associate-/l*
4×associate-/r* add-cbrt-cube add-exp-log associate-/r/
3×pow1
2×rem-sqrt-square flip3-+ flip-+ insert-posit16 div-inv add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 sqrt-div div-sub div-exp flip--
Calls
2 calls:
Slowest
16.0ms
(/ (- 1 x) (+ 1 x))
9.0ms
(sqrt (/ (- 1 x) (+ 1 x)))

series86.0ms

Calls
2 calls:
Slowest
50.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
36.0ms
(/ (- 1 x) (+ 1 x))

simplify3.3s

Calls
103 calls:
Slowest
417.0ms
(/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x)))
283.0ms
(- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
212.0ms
(- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
162.0ms
(sqrt (/ (- 1 x) (+ (pow 1 3) (pow x 3))))
137.0ms
(- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1))

prune878.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.4s8000×body80valid
844.0ms8107×body80nan