Details

Time bar (total: 5.8s)

sample145.0ms

Algorithm
intervals
Results
35.0ms256×body80valid
29.0ms259×body80nan

simplify102.0ms

Calls
1 calls:
Slowest
101.0ms
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
19×times-frac
17×*-un-lft-identity add-cube-cbrt
15×sqrt-prod
4×add-cbrt-cube add-exp-log associate-/r/
3×associate-/r* associate-/l*
2×expm1-log1p-u pow1 rem-sqrt-square flip3-+ flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- pow1/2 sqrt-div div-sub div-exp flip--
Calls
2 calls:
Slowest
11.0ms
(/ (- 1 x) (+ 1 x))
4.0ms
(sqrt (/ (- 1 x) (+ 1 x)))

series507.0ms

Calls
2 calls:
Slowest
438.0ms
(/ (- 1 x) (+ 1 x))
69.0ms
(sqrt (/ (- 1 x) (+ 1 x)))

simplify2.5s

Calls
54 calls:
Slowest
456.0ms
(/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x)))
253.0ms
(- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
204.0ms
(- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
153.0ms
(- (+ (* 2 (pow x 2)) 1) (* 2 x))
150.0ms
(- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1))

prune523.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.0s8000×body80valid
804.0ms8107×body80nan