Details

Time bar (total: 5.8s)

sample103.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
16.0ms259×body80nan

simplify461.0ms

Calls
1 calls:
Slowest
460.0ms
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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×pow1 rem-sqrt-square flip3-+ flip-+ insert-posit16 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
9.0ms
(/ (- 1 x) (+ 1 x))
3.0ms
(sqrt (/ (- 1 x) (+ 1 x)))

series110.0ms

Calls
2 calls:
Slowest
63.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
47.0ms
(/ (- 1 x) (+ 1 x))

simplify2.4s

Calls
54 calls:
Slowest
391.0ms
(/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x)))
252.0ms
(- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
230.0ms
(- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
123.0ms
(- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1))
115.0ms
(- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1))

prune595.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.1s8000×body80valid
854.0ms8107×body80nan