84.065 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.054 * * * [progress]: [2/2] Setting up program.
0.061 * [progress]: [Phase 2 of 3] Improving.
0.062 * [simplify]: Simplifying:
  (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))
0.062 * * [simplify]: iteration 0: 14 enodes
0.067 * * [simplify]: iteration 1: 27 enodes
0.075 * * [simplify]: iteration 2: 34 enodes
0.084 * * [simplify]: iteration 3: 38 enodes
0.092 * * [simplify]: iteration 4: 40 enodes
0.097 * * [simplify]: iteration 5: 41 enodes
0.102 * * [simplify]: iteration complete: 41 enodes
0.102 * * [simplify]: Extracting #0: cost 1 inf + 0
0.102 * * [simplify]: Extracting #1: cost 2 inf + 0
0.102 * * [simplify]: Extracting #2: cost 6 inf + 0
0.102 * * [simplify]: Extracting #3: cost 13 inf + 1
0.102 * * [simplify]: Extracting #4: cost 11 inf + 45
0.102 * * [simplify]: Extracting #5: cost 12 inf + 87
0.103 * * [simplify]: Extracting #6: cost 15 inf + 128
0.103 * * [simplify]: Extracting #7: cost 11 inf + 213
0.103 * * [simplify]: Extracting #8: cost 10 inf + 295
0.103 * * [simplify]: Extracting #9: cost 8 inf + 661
0.103 * * [simplify]: Extracting #10: cost 2 inf + 2203
0.104 * * [simplify]: Extracting #11: cost 0 inf + 2893
0.104 * [simplify]: Simplified to:
  (sqrt (* (+ 1.0 (/ x (sqrt (+ (* x x) (* (* p p) 4.0))))) 0.5))
0.105 * * [progress]: iteration 1 / 4
0.105 * * * [progress]: picking best candidate
0.109 * * * * [pick]: Picked  #<alt (λ (p x) (sqrt (* 0.5 (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))))>
0.109 * * * [progress]: localizing error
0.151 * * * [progress]: generating rewritten candidates
0.151 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2)
0.177 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
0.230 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2)
0.261 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2 1)
0.275 * * * [progress]: generating series expansions
0.275 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2)
0.275 * [backup-simplify]: Simplify (sqrt (+ (* (* 4.0 p) p) (* x x))) into (sqrt (+ (pow x 2) (* 4.0 (pow p 2))))
0.275 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (p x) around 0
0.275 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
0.275 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.275 * [taylor]: Taking taylor expansion of x in x
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 1 into 1
0.275 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
0.275 * [taylor]: Taking taylor expansion of 4.0 in x
0.275 * [backup-simplify]: Simplify 4.0 into 4.0
0.276 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.276 * [taylor]: Taking taylor expansion of p in x
0.276 * [backup-simplify]: Simplify p into p
0.276 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.276 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
0.276 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
0.276 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
0.276 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.277 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
0.277 * [backup-simplify]: Simplify (+ 0 0) into 0
0.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
0.277 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p
0.277 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p
0.277 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.277 * [taylor]: Taking taylor expansion of x in p
0.277 * [backup-simplify]: Simplify x into x
0.277 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p
0.277 * [taylor]: Taking taylor expansion of 4.0 in p
0.277 * [backup-simplify]: Simplify 4.0 into 4.0
0.277 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.277 * [taylor]: Taking taylor expansion of p in p
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 1 into 1
0.277 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.277 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.277 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.277 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.278 * [backup-simplify]: Simplify (+ 0 0) into 0
0.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p
0.278 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p
0.278 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.278 * [taylor]: Taking taylor expansion of x in p
0.278 * [backup-simplify]: Simplify x into x
0.278 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p
0.278 * [taylor]: Taking taylor expansion of 4.0 in p
0.278 * [backup-simplify]: Simplify 4.0 into 4.0
0.278 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.278 * [taylor]: Taking taylor expansion of p in p
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.278 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.278 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.278 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.279 * [backup-simplify]: Simplify (+ 0 0) into 0
0.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.279 * [taylor]: Taking taylor expansion of x in x
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [taylor]: Taking taylor expansion of 0 in x
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.279 * [backup-simplify]: Simplify (* 1 1) into 1
0.280 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.280 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
0.281 * [backup-simplify]: Simplify (/ (- 4.0 (pow 0 2) (+)) (* 2 x)) into (/ 2.0 x)
0.281 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x
0.281 * [taylor]: Taking taylor expansion of 2.0 in x
0.281 * [backup-simplify]: Simplify 2.0 into 2.0
0.281 * [taylor]: Taking taylor expansion of x in x
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
0.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
0.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.283 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.283 * [backup-simplify]: Simplify (+ 0 0) into 0
0.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 x))))) (* 2 x)) into 0
0.284 * [taylor]: Taking taylor expansion of 0 in x
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify (* 1 (* x 1)) into x
0.284 * [backup-simplify]: Simplify (sqrt (+ (* (* 4.0 (/ 1 p)) (/ 1 p)) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
0.285 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0
0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.285 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.285 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
0.285 * [taylor]: Taking taylor expansion of 4.0 in x
0.285 * [backup-simplify]: Simplify 4.0 into 4.0
0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.285 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.285 * [taylor]: Taking taylor expansion of p in x
0.285 * [backup-simplify]: Simplify p into p
0.285 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.285 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.285 * [taylor]: Taking taylor expansion of x in x
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 1 into 1
0.285 * [backup-simplify]: Simplify (* 1 1) into 1
0.285 * [backup-simplify]: Simplify (/ 1 1) into 1
0.286 * [backup-simplify]: Simplify (+ 0 1) into 1
0.286 * [backup-simplify]: Simplify (sqrt 1) into 1
0.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.288 * [backup-simplify]: Simplify (+ 0 0) into 0
0.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.289 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.289 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
0.289 * [taylor]: Taking taylor expansion of 4.0 in p
0.289 * [backup-simplify]: Simplify 4.0 into 4.0
0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.289 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.289 * [taylor]: Taking taylor expansion of p in p
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (* 1 1) into 1
0.290 * [backup-simplify]: Simplify (/ 1 1) into 1
0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.290 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.290 * [taylor]: Taking taylor expansion of x in p
0.290 * [backup-simplify]: Simplify x into x
0.291 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.291 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.291 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.292 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
0.292 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
0.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.294 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.295 * [backup-simplify]: Simplify (+ 0 0) into 0
0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
0.295 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.295 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.295 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
0.296 * [taylor]: Taking taylor expansion of 4.0 in p
0.296 * [backup-simplify]: Simplify 4.0 into 4.0
0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.296 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.296 * [taylor]: Taking taylor expansion of p in p
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 1 into 1
0.296 * [backup-simplify]: Simplify (* 1 1) into 1
0.296 * [backup-simplify]: Simplify (/ 1 1) into 1
0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.297 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.297 * [taylor]: Taking taylor expansion of x in p
0.297 * [backup-simplify]: Simplify x into x
0.297 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.297 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.297 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.298 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
0.298 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
0.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.302 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.302 * [backup-simplify]: Simplify (+ 0 0) into 0
0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
0.303 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x
0.303 * [taylor]: Taking taylor expansion of 4.0 in x
0.303 * [backup-simplify]: Simplify 4.0 into 4.0
0.303 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
0.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
0.304 * [taylor]: Taking taylor expansion of 0 in x
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
0.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.306 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
0.306 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
0.307 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 (sqrt 4.0))) into (/ 1/2 (* (pow x 2) (sqrt 4.0)))
0.307 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x
0.307 * [taylor]: Taking taylor expansion of 1/2 in x
0.307 * [backup-simplify]: Simplify 1/2 into 1/2
0.307 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x
0.307 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.307 * [taylor]: Taking taylor expansion of x in x
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 1 into 1
0.307 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x
0.307 * [taylor]: Taking taylor expansion of 4.0 in x
0.307 * [backup-simplify]: Simplify 4.0 into 4.0
0.307 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
0.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
0.308 * [backup-simplify]: Simplify (* 1 1) into 1
0.308 * [backup-simplify]: Simplify (* 1 (sqrt 4.0)) into (sqrt 4.0)
0.309 * [backup-simplify]: Simplify (/ 1/2 (sqrt 4.0)) into (/ 1/2 (sqrt 4.0))
0.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 4.0))) into 0
0.311 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))))) into 0
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.313 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.313 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.313 * [backup-simplify]: Simplify (+ 0 0) into 0
0.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (pow x 2) (sqrt 4.0))))))) (* 2 (sqrt 4.0))) into 0
0.314 * [taylor]: Taking taylor expansion of 0 in x
0.314 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 4.0)))) into 0
0.317 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))) (* 0 (/ 0 (sqrt 4.0))))) into 0
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
0.317 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify (* (sqrt 4.0) (* 1 (/ 1 (/ 1 p)))) into (* p (sqrt 4.0))
0.318 * [backup-simplify]: Simplify (sqrt (+ (* (* 4.0 (/ 1 (- p))) (/ 1 (- p))) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
0.318 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0
0.318 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.318 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.318 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
0.318 * [taylor]: Taking taylor expansion of 4.0 in x
0.318 * [backup-simplify]: Simplify 4.0 into 4.0
0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.318 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.318 * [taylor]: Taking taylor expansion of p in x
0.318 * [backup-simplify]: Simplify p into p
0.318 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.318 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.318 * [taylor]: Taking taylor expansion of x in x
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 1 into 1
0.318 * [backup-simplify]: Simplify (* 1 1) into 1
0.319 * [backup-simplify]: Simplify (/ 1 1) into 1
0.319 * [backup-simplify]: Simplify (+ 0 1) into 1
0.319 * [backup-simplify]: Simplify (sqrt 1) into 1
0.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.320 * [backup-simplify]: Simplify (+ 0 0) into 0
0.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.321 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.321 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.321 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
0.321 * [taylor]: Taking taylor expansion of 4.0 in p
0.321 * [backup-simplify]: Simplify 4.0 into 4.0
0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.321 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.321 * [taylor]: Taking taylor expansion of p in p
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [backup-simplify]: Simplify (* 1 1) into 1
0.321 * [backup-simplify]: Simplify (/ 1 1) into 1
0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.321 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.321 * [taylor]: Taking taylor expansion of x in p
0.321 * [backup-simplify]: Simplify x into x
0.321 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.322 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.322 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.322 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
0.322 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
0.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.324 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.324 * [backup-simplify]: Simplify (+ 0 0) into 0
0.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
0.324 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.324 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.324 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
0.324 * [taylor]: Taking taylor expansion of 4.0 in p
0.324 * [backup-simplify]: Simplify 4.0 into 4.0
0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.324 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.324 * [taylor]: Taking taylor expansion of p in p
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 1 into 1
0.325 * [backup-simplify]: Simplify (* 1 1) into 1
0.325 * [backup-simplify]: Simplify (/ 1 1) into 1
0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.325 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.325 * [taylor]: Taking taylor expansion of x in p
0.325 * [backup-simplify]: Simplify x into x
0.325 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.325 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.326 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.326 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
0.326 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
0.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.327 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.328 * [backup-simplify]: Simplify (+ 0 0) into 0
0.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
0.328 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x
0.328 * [taylor]: Taking taylor expansion of 4.0 in x
0.328 * [backup-simplify]: Simplify 4.0 into 4.0
0.329 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
0.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
0.329 * [taylor]: Taking taylor expansion of 0 in x
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
0.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.332 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
0.333 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
0.334 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 (sqrt 4.0))) into (/ 1/2 (* (pow x 2) (sqrt 4.0)))
0.334 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 4.0))) in x
0.334 * [taylor]: Taking taylor expansion of 1/2 in x
0.335 * [backup-simplify]: Simplify 1/2 into 1/2
0.335 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 4.0)) in x
0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.335 * [taylor]: Taking taylor expansion of x in x
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify 1 into 1
0.335 * [taylor]: Taking taylor expansion of (sqrt 4.0) in x
0.335 * [taylor]: Taking taylor expansion of 4.0 in x
0.335 * [backup-simplify]: Simplify 4.0 into 4.0
0.335 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
0.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
0.336 * [backup-simplify]: Simplify (* 1 1) into 1
0.337 * [backup-simplify]: Simplify (* 1 (sqrt 4.0)) into (sqrt 4.0)
0.338 * [backup-simplify]: Simplify (/ 1/2 (sqrt 4.0)) into (/ 1/2 (sqrt 4.0))
0.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 4.0))) into 0
0.341 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))))) into 0
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.345 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.345 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.345 * [backup-simplify]: Simplify (+ 0 0) into 0
0.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (pow x 2) (sqrt 4.0))))))) (* 2 (sqrt 4.0))) into 0
0.346 * [taylor]: Taking taylor expansion of 0 in x
0.346 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
0.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 4.0)))) into 0
0.349 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))) (* 0 (/ 0 (sqrt 4.0))))) into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify (* (sqrt 4.0) (* 1 (/ 1 (/ 1 (- p))))) into (* -1 (* p (sqrt 4.0)))
0.350 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
0.350 * [backup-simplify]: Simplify (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) into (+ (* (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) x) 1.0)
0.350 * [approximate]: Taking taylor expansion of (+ (* (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) x) 1.0) in (x p) around 0
0.350 * [taylor]: Taking taylor expansion of (+ (* (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) x) 1.0) in p
0.350 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) x) in p
0.350 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p
0.350 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p
0.351 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p
0.351 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.351 * [taylor]: Taking taylor expansion of x in p
0.351 * [backup-simplify]: Simplify x into x
0.351 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p
0.351 * [taylor]: Taking taylor expansion of 4.0 in p
0.351 * [backup-simplify]: Simplify 4.0 into 4.0
0.351 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.351 * [taylor]: Taking taylor expansion of p in p
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify 1 into 1
0.351 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.351 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.351 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.351 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
0.351 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.351 * [backup-simplify]: Simplify (+ 0 0) into 0
0.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
0.352 * [taylor]: Taking taylor expansion of x in p
0.352 * [backup-simplify]: Simplify x into x
0.352 * [taylor]: Taking taylor expansion of 1.0 in p
0.352 * [backup-simplify]: Simplify 1.0 into 1.0
0.352 * [taylor]: Taking taylor expansion of (+ (* (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) x) 1.0) in x
0.352 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) x) in x
0.352 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x
0.352 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x
0.352 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
0.352 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.352 * [taylor]: Taking taylor expansion of x in x
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 1 into 1
0.352 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
0.352 * [taylor]: Taking taylor expansion of 4.0 in x
0.352 * [backup-simplify]: Simplify 4.0 into 4.0
0.352 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.352 * [taylor]: Taking taylor expansion of p in x
0.352 * [backup-simplify]: Simplify p into p
0.352 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.352 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
0.352 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
0.352 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow p 2))) into (/ 0.25 (pow p 2))
0.352 * [backup-simplify]: Simplify (sqrt (/ 0.25 (pow p 2))) into (/ (sqrt 0.25) p)
0.352 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.353 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
0.353 * [backup-simplify]: Simplify (+ 0 0) into 0
0.353 * [backup-simplify]: Simplify (- (+ (* (/ 0.25 (pow p 2)) (/ 0 (* 4.0 (pow p 2)))))) into 0
0.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 0.25 (pow p 2))))) into 0
0.353 * [taylor]: Taking taylor expansion of x in x
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify 1 into 1
0.353 * [taylor]: Taking taylor expansion of 1.0 in x
0.353 * [backup-simplify]: Simplify 1.0 into 1.0
0.353 * [taylor]: Taking taylor expansion of (+ (* (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) x) 1.0) in x
0.353 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) x) in x
0.354 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x
0.354 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x
0.354 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.354 * [taylor]: Taking taylor expansion of x in x
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 1 into 1
0.354 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
0.354 * [taylor]: Taking taylor expansion of 4.0 in x
0.354 * [backup-simplify]: Simplify 4.0 into 4.0
0.354 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.354 * [taylor]: Taking taylor expansion of p in x
0.354 * [backup-simplify]: Simplify p into p
0.354 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.354 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
0.354 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
0.354 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow p 2))) into (/ 0.25 (pow p 2))
0.354 * [backup-simplify]: Simplify (sqrt (/ 0.25 (pow p 2))) into (/ (sqrt 0.25) p)
0.354 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.355 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
0.355 * [backup-simplify]: Simplify (+ 0 0) into 0
0.355 * [backup-simplify]: Simplify (- (+ (* (/ 0.25 (pow p 2)) (/ 0 (* 4.0 (pow p 2)))))) into 0
0.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 0.25 (pow p 2))))) into 0
0.355 * [taylor]: Taking taylor expansion of x in x
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 1 into 1
0.355 * [taylor]: Taking taylor expansion of 1.0 in x
0.355 * [backup-simplify]: Simplify 1.0 into 1.0
0.356 * [backup-simplify]: Simplify (* (/ (sqrt 0.25) p) 0) into 0
0.356 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.356 * [taylor]: Taking taylor expansion of 1.0 in p
0.356 * [backup-simplify]: Simplify 1.0 into 1.0
0.356 * [backup-simplify]: Simplify 1.0 into 1.0
0.356 * [backup-simplify]: Simplify (+ (* (/ (sqrt 0.25) p) 1) (* 0 0)) into (/ (sqrt 0.25) p)
0.357 * [backup-simplify]: Simplify (+ (/ (sqrt 0.25) p) 0) into (/ (sqrt 0.25) p)
0.357 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p
0.357 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p
0.357 * [taylor]: Taking taylor expansion of 0.25 in p
0.357 * [backup-simplify]: Simplify 0.25 into 0.25
0.357 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
0.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
0.357 * [taylor]: Taking taylor expansion of p in p
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 1 into 1
0.358 * [backup-simplify]: Simplify (/ (sqrt 0.25) 1) into (sqrt 0.25)
0.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.25) (/ 0 1)))) into 0
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify (* 1 1) into 1
0.359 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
0.360 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
0.360 * [backup-simplify]: Simplify (+ 1 0) into 1
0.360 * [backup-simplify]: Simplify (- (+ (* (/ 0.25 (pow p 2)) (/ 1 (* 4.0 (pow p 2)))) (* 0 (/ 0 (* 4.0 (pow p 2)))))) into (- (* 0.0625 (/ 1 (pow p 4))))
0.361 * [backup-simplify]: Simplify (/ (- (- (* 0.0625 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ (sqrt 0.25) p))) into (/ -0.03125 (* (pow p 3) (sqrt 0.25)))
0.362 * [backup-simplify]: Simplify (+ (* (/ (sqrt 0.25) p) 0) (+ (* 0 1) (* (/ -0.03125 (* (pow p 3) (sqrt 0.25))) 0))) into 0
0.362 * [backup-simplify]: Simplify (+ 0 0) into 0
0.362 * [taylor]: Taking taylor expansion of 0 in p
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
0.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.25) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.365 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
0.365 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
0.366 * [backup-simplify]: Simplify (+ 0 0) into 0
0.366 * [backup-simplify]: Simplify (- (+ (* (/ 0.25 (pow p 2)) (/ 0 (* 4.0 (pow p 2)))) (* 0 (/ 1 (* 4.0 (pow p 2)))) (* (- (* 0.0625 (/ 1 (pow p 4)))) (/ 0 (* 4.0 (pow p 2)))))) into 0
0.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.03125 (* (pow p 3) (sqrt 0.25))))))) (* 2 (/ (sqrt 0.25) p))) into 0
0.368 * [backup-simplify]: Simplify (+ (* (/ (sqrt 0.25) p) 0) (+ (* 0 0) (+ (* (/ -0.03125 (* (pow p 3) (sqrt 0.25))) 1) (* 0 0)))) into (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))))
0.368 * [backup-simplify]: Simplify (+ (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) 0) into (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))))
0.368 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25))))) in p
0.368 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (* (pow p 3) (sqrt 0.25)))) in p
0.368 * [taylor]: Taking taylor expansion of 0.03125 in p
0.368 * [backup-simplify]: Simplify 0.03125 into 0.03125
0.368 * [taylor]: Taking taylor expansion of (/ 1 (* (pow p 3) (sqrt 0.25))) in p
0.369 * [taylor]: Taking taylor expansion of (* (pow p 3) (sqrt 0.25)) in p
0.369 * [taylor]: Taking taylor expansion of (pow p 3) in p
0.369 * [taylor]: Taking taylor expansion of p in p
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 1 into 1
0.369 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p
0.369 * [taylor]: Taking taylor expansion of 0.25 in p
0.369 * [backup-simplify]: Simplify 0.25 into 0.25
0.369 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
0.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
0.370 * [backup-simplify]: Simplify (* 1 1) into 1
0.370 * [backup-simplify]: Simplify (* 1 1) into 1
0.370 * [backup-simplify]: Simplify (* 1 (sqrt 0.25)) into (sqrt 0.25)
0.371 * [backup-simplify]: Simplify (/ 1 (sqrt 0.25)) into (/ 1 (sqrt 0.25))
0.372 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
0.372 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.25))) into 0
0.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.25))))) into 0
0.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.25))) into 0
0.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 0.25)) (/ 0 (sqrt 0.25))))) into 0
0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 0.25)))) into 0
0.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 0.25)) (/ 0 (sqrt 0.25))) (* 0 (/ 0 (sqrt 0.25))))) into 0
0.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 0.25)) (/ 0 (sqrt 0.25))) (* 0 (/ 0 (sqrt 0.25))) (* 0 (/ 0 (sqrt 0.25))))) into 0
0.385 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 0.25)))))) into 0
0.386 * [backup-simplify]: Simplify (- 0) into 0
0.386 * [backup-simplify]: Simplify 0 into 0
0.386 * [backup-simplify]: Simplify 1.0 into 1.0
0.386 * [backup-simplify]: Simplify (+ 1.0 (/ (/ 1 x) (sqrt (+ (* (* 4.0 (/ 1 p)) (/ 1 p)) (* (/ 1 x) (/ 1 x)))))) into (+ (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x)) 1.0)
0.386 * [approximate]: Taking taylor expansion of (+ (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x)) 1.0) in (x p) around 0
0.386 * [taylor]: Taking taylor expansion of (+ (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x)) 1.0) in p
0.387 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x)) in p
0.387 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
0.387 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.387 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.387 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
0.387 * [taylor]: Taking taylor expansion of 4.0 in p
0.387 * [backup-simplify]: Simplify 4.0 into 4.0
0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.387 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.387 * [taylor]: Taking taylor expansion of p in p
0.387 * [backup-simplify]: Simplify 0 into 0
0.387 * [backup-simplify]: Simplify 1 into 1
0.387 * [backup-simplify]: Simplify (* 1 1) into 1
0.388 * [backup-simplify]: Simplify (/ 1 1) into 1
0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.388 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.388 * [taylor]: Taking taylor expansion of x in p
0.388 * [backup-simplify]: Simplify x into x
0.388 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.388 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.388 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.389 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
0.389 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
0.390 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
0.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.392 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.392 * [backup-simplify]: Simplify (+ 0 0) into 0
0.393 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 0 4.0)))) into 0
0.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
0.394 * [taylor]: Taking taylor expansion of (/ 1 x) in p
0.394 * [taylor]: Taking taylor expansion of x in p
0.394 * [backup-simplify]: Simplify x into x
0.394 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.394 * [taylor]: Taking taylor expansion of 1.0 in p
0.394 * [backup-simplify]: Simplify 1.0 into 1.0
0.394 * [taylor]: Taking taylor expansion of (+ (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x)) 1.0) in x
0.394 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x)) in x
0.394 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.394 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.394 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.394 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
0.394 * [taylor]: Taking taylor expansion of 4.0 in x
0.394 * [backup-simplify]: Simplify 4.0 into 4.0
0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.394 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.394 * [taylor]: Taking taylor expansion of p in x
0.394 * [backup-simplify]: Simplify p into p
0.394 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.394 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.395 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.395 * [taylor]: Taking taylor expansion of x in x
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify 1 into 1
0.395 * [backup-simplify]: Simplify (* 1 1) into 1
0.395 * [backup-simplify]: Simplify (/ 1 1) into 1
0.396 * [backup-simplify]: Simplify (+ 0 1) into 1
0.396 * [backup-simplify]: Simplify (/ 1 1) into 1
0.396 * [backup-simplify]: Simplify (sqrt 1) into 1
0.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.398 * [backup-simplify]: Simplify (+ 0 0) into 0
0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.400 * [taylor]: Taking taylor expansion of x in x
0.400 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify 1 into 1
0.400 * [backup-simplify]: Simplify (/ 1 1) into 1
0.401 * [taylor]: Taking taylor expansion of 1.0 in x
0.401 * [backup-simplify]: Simplify 1.0 into 1.0
0.401 * [taylor]: Taking taylor expansion of (+ (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x)) 1.0) in x
0.401 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x)) in x
0.401 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.401 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.401 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.401 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
0.401 * [taylor]: Taking taylor expansion of 4.0 in x
0.401 * [backup-simplify]: Simplify 4.0 into 4.0
0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.401 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.401 * [taylor]: Taking taylor expansion of p in x
0.401 * [backup-simplify]: Simplify p into p
0.401 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.401 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.401 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.401 * [taylor]: Taking taylor expansion of x in x
0.401 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify 1 into 1
0.402 * [backup-simplify]: Simplify (* 1 1) into 1
0.402 * [backup-simplify]: Simplify (/ 1 1) into 1
0.403 * [backup-simplify]: Simplify (+ 0 1) into 1
0.403 * [backup-simplify]: Simplify (/ 1 1) into 1
0.403 * [backup-simplify]: Simplify (sqrt 1) into 1
0.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.405 * [backup-simplify]: Simplify (+ 0 0) into 0
0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.407 * [taylor]: Taking taylor expansion of x in x
0.407 * [backup-simplify]: Simplify 0 into 0
0.407 * [backup-simplify]: Simplify 1 into 1
0.407 * [backup-simplify]: Simplify (/ 1 1) into 1
0.407 * [taylor]: Taking taylor expansion of 1.0 in x
0.407 * [backup-simplify]: Simplify 1.0 into 1.0
0.408 * [backup-simplify]: Simplify (* 1 1) into 1
0.408 * [backup-simplify]: Simplify (+ 1 1.0) into 2.0
0.408 * [taylor]: Taking taylor expansion of 2.0 in p
0.408 * [backup-simplify]: Simplify 2.0 into 2.0
0.408 * [backup-simplify]: Simplify 2.0 into 2.0
0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.410 * [backup-simplify]: Simplify (+ 0 0) into 0
0.410 * [taylor]: Taking taylor expansion of 0 in p
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.413 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
0.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.415 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow p 2))))
0.418 * [backup-simplify]: Simplify (/ (- (- (* 4.0 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2.0 (pow p 2))
0.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -2.0 (pow p 2)) 1))) into (- (* 2.0 (/ 1 (pow p 2))))
0.419 * [backup-simplify]: Simplify (+ (- (* 2.0 (/ 1 (pow p 2)))) 0) into (- (* 2.0 (/ 1 (pow p 2))))
0.419 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p
0.419 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p
0.419 * [taylor]: Taking taylor expansion of 2.0 in p
0.419 * [backup-simplify]: Simplify 2.0 into 2.0
0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.419 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.419 * [taylor]: Taking taylor expansion of p in p
0.419 * [backup-simplify]: Simplify 0 into 0
0.419 * [backup-simplify]: Simplify 1 into 1
0.419 * [backup-simplify]: Simplify (* 1 1) into 1
0.420 * [backup-simplify]: Simplify (/ 1 1) into 1
0.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.424 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0
0.424 * [backup-simplify]: Simplify (- 0) into 0
0.424 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.425 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
0.426 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.428 * [backup-simplify]: Simplify (+ 0 0) into 0
0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow p 2))) 1)) (* (- (* 4.0 (/ 1 (pow p 2)))) (/ 0 1)))) into 0
0.430 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2.0 (pow p 2)))))) (* 2 1)) into 0
0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -2.0 (pow p 2)) 0) (* 0 1)))) into 0
0.432 * [backup-simplify]: Simplify (+ 0 0) into 0
0.432 * [taylor]: Taking taylor expansion of 0 in p
0.432 * [backup-simplify]: Simplify 0 into 0
0.432 * [backup-simplify]: Simplify 0 into 0
0.432 * [backup-simplify]: Simplify 2.0 into 2.0
0.433 * [backup-simplify]: Simplify (+ 1.0 (/ (/ 1 (- x)) (sqrt (+ (* (* 4.0 (/ 1 (- p))) (/ 1 (- p))) (* (/ 1 (- x)) (/ 1 (- x))))))) into (- 1.0 (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x)))
0.433 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x))) in (x p) around 0
0.433 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x))) in p
0.433 * [taylor]: Taking taylor expansion of 1.0 in p
0.433 * [backup-simplify]: Simplify 1.0 into 1.0
0.433 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x)) in p
0.433 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
0.433 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.433 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.433 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
0.433 * [taylor]: Taking taylor expansion of 4.0 in p
0.433 * [backup-simplify]: Simplify 4.0 into 4.0
0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.433 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.433 * [taylor]: Taking taylor expansion of p in p
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify 1 into 1
0.434 * [backup-simplify]: Simplify (* 1 1) into 1
0.434 * [backup-simplify]: Simplify (/ 1 1) into 1
0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.434 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.434 * [taylor]: Taking taylor expansion of x in p
0.434 * [backup-simplify]: Simplify x into x
0.434 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.434 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.434 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.435 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
0.435 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
0.435 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.437 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.437 * [backup-simplify]: Simplify (+ 0 0) into 0
0.437 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 0 4.0)))) into 0
0.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
0.438 * [taylor]: Taking taylor expansion of (/ 1 x) in p
0.438 * [taylor]: Taking taylor expansion of x in p
0.438 * [backup-simplify]: Simplify x into x
0.438 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.438 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x))) in x
0.438 * [taylor]: Taking taylor expansion of 1.0 in x
0.438 * [backup-simplify]: Simplify 1.0 into 1.0
0.438 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x)) in x
0.438 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.438 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.438 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.438 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
0.438 * [taylor]: Taking taylor expansion of 4.0 in x
0.438 * [backup-simplify]: Simplify 4.0 into 4.0
0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.438 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.438 * [taylor]: Taking taylor expansion of p in x
0.438 * [backup-simplify]: Simplify p into p
0.438 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.438 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.438 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.438 * [taylor]: Taking taylor expansion of x in x
0.438 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify 1 into 1
0.439 * [backup-simplify]: Simplify (* 1 1) into 1
0.439 * [backup-simplify]: Simplify (/ 1 1) into 1
0.439 * [backup-simplify]: Simplify (+ 0 1) into 1
0.439 * [backup-simplify]: Simplify (/ 1 1) into 1
0.440 * [backup-simplify]: Simplify (sqrt 1) into 1
0.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.441 * [backup-simplify]: Simplify (+ 0 0) into 0
0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.441 * [taylor]: Taking taylor expansion of x in x
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify 1 into 1
0.442 * [backup-simplify]: Simplify (/ 1 1) into 1
0.442 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x))) in x
0.442 * [taylor]: Taking taylor expansion of 1.0 in x
0.442 * [backup-simplify]: Simplify 1.0 into 1.0
0.442 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x)) in x
0.442 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.442 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.442 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.442 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
0.442 * [taylor]: Taking taylor expansion of 4.0 in x
0.442 * [backup-simplify]: Simplify 4.0 into 4.0
0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.442 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.442 * [taylor]: Taking taylor expansion of p in x
0.442 * [backup-simplify]: Simplify p into p
0.442 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.442 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.442 * [taylor]: Taking taylor expansion of x in x
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify 1 into 1
0.443 * [backup-simplify]: Simplify (* 1 1) into 1
0.443 * [backup-simplify]: Simplify (/ 1 1) into 1
0.443 * [backup-simplify]: Simplify (+ 0 1) into 1
0.443 * [backup-simplify]: Simplify (/ 1 1) into 1
0.443 * [backup-simplify]: Simplify (sqrt 1) into 1
0.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.445 * [backup-simplify]: Simplify (+ 0 0) into 0
0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.445 * [taylor]: Taking taylor expansion of x in x
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 1 into 1
0.446 * [backup-simplify]: Simplify (/ 1 1) into 1
0.446 * [backup-simplify]: Simplify (* 1 1) into 1
0.446 * [backup-simplify]: Simplify (- 1) into -1
0.446 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
0.447 * [taylor]: Taking taylor expansion of 0 in p
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.448 * [backup-simplify]: Simplify (- 0) into 0
0.448 * [backup-simplify]: Simplify (+ 0 0) into 0
0.448 * [taylor]: Taking taylor expansion of 0 in p
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.449 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
0.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.450 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow p 2))))
0.451 * [backup-simplify]: Simplify (/ (- (- (* 4.0 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2.0 (pow p 2))
0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -2.0 (pow p 2)) 1))) into (- (* 2.0 (/ 1 (pow p 2))))
0.452 * [backup-simplify]: Simplify (- (- (* 2.0 (/ 1 (pow p 2))))) into (* 2.0 (/ 1 (pow p 2)))
0.452 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 (pow p 2)))) into (* 2.0 (/ 1 (pow p 2)))
0.452 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p
0.452 * [taylor]: Taking taylor expansion of 2.0 in p
0.452 * [backup-simplify]: Simplify 2.0 into 2.0
0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.452 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.452 * [taylor]: Taking taylor expansion of p in p
0.452 * [backup-simplify]: Simplify 0 into 0
0.452 * [backup-simplify]: Simplify 1 into 1
0.453 * [backup-simplify]: Simplify (* 1 1) into 1
0.453 * [backup-simplify]: Simplify (/ 1 1) into 1
0.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.455 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0
0.455 * [backup-simplify]: Simplify 0 into 0
0.455 * [backup-simplify]: Simplify 0 into 0
0.455 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify 0 into 0
0.456 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2)
0.456 * [backup-simplify]: Simplify (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) into (* (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) x)
0.456 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) x) in (x p) around 0
0.456 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) x) in p
0.456 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in p
0.456 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in p
0.456 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p
0.456 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.456 * [taylor]: Taking taylor expansion of x in p
0.456 * [backup-simplify]: Simplify x into x
0.456 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p
0.456 * [taylor]: Taking taylor expansion of 4.0 in p
0.456 * [backup-simplify]: Simplify 4.0 into 4.0
0.456 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.456 * [taylor]: Taking taylor expansion of p in p
0.456 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify 1 into 1
0.456 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.456 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.456 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.456 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
0.456 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.457 * [backup-simplify]: Simplify (+ 0 0) into 0
0.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
0.457 * [taylor]: Taking taylor expansion of x in p
0.457 * [backup-simplify]: Simplify x into x
0.457 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) x) in x
0.457 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x
0.457 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x
0.457 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
0.457 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.457 * [taylor]: Taking taylor expansion of x in x
0.457 * [backup-simplify]: Simplify 0 into 0
0.457 * [backup-simplify]: Simplify 1 into 1
0.457 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
0.457 * [taylor]: Taking taylor expansion of 4.0 in x
0.457 * [backup-simplify]: Simplify 4.0 into 4.0
0.457 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.457 * [taylor]: Taking taylor expansion of p in x
0.457 * [backup-simplify]: Simplify p into p
0.457 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.457 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
0.457 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
0.458 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow p 2))) into (/ 0.25 (pow p 2))
0.458 * [backup-simplify]: Simplify (sqrt (/ 0.25 (pow p 2))) into (/ (sqrt 0.25) p)
0.458 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.458 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
0.458 * [backup-simplify]: Simplify (+ 0 0) into 0
0.458 * [backup-simplify]: Simplify (- (+ (* (/ 0.25 (pow p 2)) (/ 0 (* 4.0 (pow p 2)))))) into 0
0.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 0.25 (pow p 2))))) into 0
0.459 * [taylor]: Taking taylor expansion of x in x
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify 1 into 1
0.459 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) x) in x
0.459 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow p 2))))) in x
0.459 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow p 2)))) in x
0.459 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
0.459 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.459 * [taylor]: Taking taylor expansion of x in x
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify 1 into 1
0.459 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
0.459 * [taylor]: Taking taylor expansion of 4.0 in x
0.459 * [backup-simplify]: Simplify 4.0 into 4.0
0.459 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.459 * [taylor]: Taking taylor expansion of p in x
0.459 * [backup-simplify]: Simplify p into p
0.459 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.459 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
0.459 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
0.459 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow p 2))) into (/ 0.25 (pow p 2))
0.459 * [backup-simplify]: Simplify (sqrt (/ 0.25 (pow p 2))) into (/ (sqrt 0.25) p)
0.459 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.460 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
0.460 * [backup-simplify]: Simplify (+ 0 0) into 0
0.460 * [backup-simplify]: Simplify (- (+ (* (/ 0.25 (pow p 2)) (/ 0 (* 4.0 (pow p 2)))))) into 0
0.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 0.25 (pow p 2))))) into 0
0.460 * [taylor]: Taking taylor expansion of x in x
0.460 * [backup-simplify]: Simplify 0 into 0
0.460 * [backup-simplify]: Simplify 1 into 1
0.461 * [backup-simplify]: Simplify (* (/ (sqrt 0.25) p) 0) into 0
0.461 * [taylor]: Taking taylor expansion of 0 in p
0.461 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify (+ (* (/ (sqrt 0.25) p) 1) (* 0 0)) into (/ (sqrt 0.25) p)
0.461 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) p) in p
0.461 * [taylor]: Taking taylor expansion of (sqrt 0.25) in p
0.461 * [taylor]: Taking taylor expansion of 0.25 in p
0.461 * [backup-simplify]: Simplify 0.25 into 0.25
0.462 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
0.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
0.463 * [taylor]: Taking taylor expansion of p in p
0.463 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify 1 into 1
0.463 * [backup-simplify]: Simplify (/ (sqrt 0.25) 1) into (sqrt 0.25)
0.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.25) (/ 0 1)))) into 0
0.464 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify (* 1 1) into 1
0.465 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
0.466 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
0.467 * [backup-simplify]: Simplify (+ 1 0) into 1
0.467 * [backup-simplify]: Simplify (- (+ (* (/ 0.25 (pow p 2)) (/ 1 (* 4.0 (pow p 2)))) (* 0 (/ 0 (* 4.0 (pow p 2)))))) into (- (* 0.0625 (/ 1 (pow p 4))))
0.468 * [backup-simplify]: Simplify (/ (- (- (* 0.0625 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ (sqrt 0.25) p))) into (/ -0.03125 (* (pow p 3) (sqrt 0.25)))
0.470 * [backup-simplify]: Simplify (+ (* (/ (sqrt 0.25) p) 0) (+ (* 0 1) (* (/ -0.03125 (* (pow p 3) (sqrt 0.25))) 0))) into 0
0.470 * [taylor]: Taking taylor expansion of 0 in p
0.470 * [backup-simplify]: Simplify 0 into 0
0.470 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0
0.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.25) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify (/ (/ 1 x) (sqrt (+ (* (* 4.0 (/ 1 p)) (/ 1 p)) (* (/ 1 x) (/ 1 x))))) into (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x))
0.472 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x)) in (x p) around 0
0.473 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x)) in p
0.473 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
0.473 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.473 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.473 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
0.473 * [taylor]: Taking taylor expansion of 4.0 in p
0.473 * [backup-simplify]: Simplify 4.0 into 4.0
0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.473 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.473 * [taylor]: Taking taylor expansion of p in p
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 1 into 1
0.473 * [backup-simplify]: Simplify (* 1 1) into 1
0.474 * [backup-simplify]: Simplify (/ 1 1) into 1
0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.474 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.474 * [taylor]: Taking taylor expansion of x in p
0.474 * [backup-simplify]: Simplify x into x
0.474 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.474 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.474 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.475 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
0.475 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
0.476 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.478 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.478 * [backup-simplify]: Simplify (+ 0 0) into 0
0.479 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 0 4.0)))) into 0
0.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in p
0.479 * [taylor]: Taking taylor expansion of x in p
0.480 * [backup-simplify]: Simplify x into x
0.480 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.480 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x)) in x
0.480 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.480 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.480 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.480 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
0.480 * [taylor]: Taking taylor expansion of 4.0 in x
0.480 * [backup-simplify]: Simplify 4.0 into 4.0
0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.480 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.480 * [taylor]: Taking taylor expansion of p in x
0.480 * [backup-simplify]: Simplify p into p
0.480 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.480 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.480 * [taylor]: Taking taylor expansion of x in x
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify 1 into 1
0.481 * [backup-simplify]: Simplify (* 1 1) into 1
0.481 * [backup-simplify]: Simplify (/ 1 1) into 1
0.481 * [backup-simplify]: Simplify (+ 0 1) into 1
0.482 * [backup-simplify]: Simplify (/ 1 1) into 1
0.482 * [backup-simplify]: Simplify (sqrt 1) into 1
0.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.483 * [backup-simplify]: Simplify (+ 0 0) into 0
0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.484 * [taylor]: Taking taylor expansion of x in x
0.484 * [backup-simplify]: Simplify 0 into 0
0.484 * [backup-simplify]: Simplify 1 into 1
0.484 * [backup-simplify]: Simplify (/ 1 1) into 1
0.484 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x)) in x
0.485 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.485 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.485 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.485 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
0.485 * [taylor]: Taking taylor expansion of 4.0 in x
0.485 * [backup-simplify]: Simplify 4.0 into 4.0
0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.485 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.485 * [taylor]: Taking taylor expansion of p in x
0.485 * [backup-simplify]: Simplify p into p
0.485 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.485 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.485 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.485 * [taylor]: Taking taylor expansion of x in x
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 1 into 1
0.485 * [backup-simplify]: Simplify (* 1 1) into 1
0.485 * [backup-simplify]: Simplify (/ 1 1) into 1
0.486 * [backup-simplify]: Simplify (+ 0 1) into 1
0.486 * [backup-simplify]: Simplify (/ 1 1) into 1
0.486 * [backup-simplify]: Simplify (sqrt 1) into 1
0.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.487 * [backup-simplify]: Simplify (+ 0 0) into 0
0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.488 * [taylor]: Taking taylor expansion of x in x
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 1 into 1
0.488 * [backup-simplify]: Simplify (/ 1 1) into 1
0.489 * [backup-simplify]: Simplify (* 1 1) into 1
0.489 * [taylor]: Taking taylor expansion of 1 in p
0.489 * [backup-simplify]: Simplify 1 into 1
0.489 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.490 * [taylor]: Taking taylor expansion of 0 in p
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.490 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
0.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.492 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow p 2))))
0.493 * [backup-simplify]: Simplify (/ (- (- (* 4.0 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2.0 (pow p 2))
0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -2.0 (pow p 2)) 1))) into (- (* 2.0 (/ 1 (pow p 2))))
0.494 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow p 2)))) in p
0.494 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p
0.494 * [taylor]: Taking taylor expansion of 2.0 in p
0.494 * [backup-simplify]: Simplify 2.0 into 2.0
0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.494 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.494 * [taylor]: Taking taylor expansion of p in p
0.494 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify 1 into 1
0.494 * [backup-simplify]: Simplify (* 1 1) into 1
0.494 * [backup-simplify]: Simplify (/ 1 1) into 1
0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.498 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.498 * [backup-simplify]: Simplify (- 0) into 0
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (sqrt (+ (* (* 4.0 (/ 1 (- p))) (/ 1 (- p))) (* (/ 1 (- x)) (/ 1 (- x)))))) into (* -1 (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x)))
0.499 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x))) in (x p) around 0
0.499 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x))) in p
0.499 * [taylor]: Taking taylor expansion of -1 in p
0.499 * [backup-simplify]: Simplify -1 into -1
0.499 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x)) in p
0.499 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
0.499 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.499 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.499 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
0.499 * [taylor]: Taking taylor expansion of 4.0 in p
0.499 * [backup-simplify]: Simplify 4.0 into 4.0
0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.499 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.499 * [taylor]: Taking taylor expansion of p in p
0.499 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify 1 into 1
0.499 * [backup-simplify]: Simplify (* 1 1) into 1
0.499 * [backup-simplify]: Simplify (/ 1 1) into 1
0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.499 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.499 * [taylor]: Taking taylor expansion of x in p
0.499 * [backup-simplify]: Simplify x into x
0.499 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.500 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.500 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.500 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
0.501 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
0.501 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25)
0.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.502 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.502 * [backup-simplify]: Simplify (+ 0 0) into 0
0.503 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 0 4.0)))) into 0
0.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0
0.503 * [taylor]: Taking taylor expansion of (/ 1 x) in p
0.503 * [taylor]: Taking taylor expansion of x in p
0.503 * [backup-simplify]: Simplify x into x
0.503 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.503 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x))) in x
0.504 * [taylor]: Taking taylor expansion of -1 in x
0.504 * [backup-simplify]: Simplify -1 into -1
0.504 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x)) in x
0.504 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.504 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.504 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.504 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
0.504 * [taylor]: Taking taylor expansion of 4.0 in x
0.504 * [backup-simplify]: Simplify 4.0 into 4.0
0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.504 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.504 * [taylor]: Taking taylor expansion of p in x
0.504 * [backup-simplify]: Simplify p into p
0.504 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.504 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.504 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.504 * [taylor]: Taking taylor expansion of x in x
0.504 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify 1 into 1
0.504 * [backup-simplify]: Simplify (* 1 1) into 1
0.504 * [backup-simplify]: Simplify (/ 1 1) into 1
0.505 * [backup-simplify]: Simplify (+ 0 1) into 1
0.505 * [backup-simplify]: Simplify (/ 1 1) into 1
0.505 * [backup-simplify]: Simplify (sqrt 1) into 1
0.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (+ 0 0) into 0
0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.507 * [taylor]: Taking taylor expansion of x in x
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 1 into 1
0.508 * [backup-simplify]: Simplify (/ 1 1) into 1
0.508 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x))) in x
0.508 * [taylor]: Taking taylor expansion of -1 in x
0.508 * [backup-simplify]: Simplify -1 into -1
0.508 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) (/ 1 x)) in x
0.508 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.508 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.508 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.508 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
0.508 * [taylor]: Taking taylor expansion of 4.0 in x
0.508 * [backup-simplify]: Simplify 4.0 into 4.0
0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.508 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.508 * [taylor]: Taking taylor expansion of p in x
0.508 * [backup-simplify]: Simplify p into p
0.508 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.508 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.508 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.508 * [taylor]: Taking taylor expansion of x in x
0.508 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify 1 into 1
0.508 * [backup-simplify]: Simplify (* 1 1) into 1
0.509 * [backup-simplify]: Simplify (/ 1 1) into 1
0.509 * [backup-simplify]: Simplify (+ 0 1) into 1
0.509 * [backup-simplify]: Simplify (/ 1 1) into 1
0.509 * [backup-simplify]: Simplify (sqrt 1) into 1
0.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.511 * [backup-simplify]: Simplify (+ 0 0) into 0
0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.513 * [taylor]: Taking taylor expansion of x in x
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify 1 into 1
0.513 * [backup-simplify]: Simplify (/ 1 1) into 1
0.514 * [backup-simplify]: Simplify (* 1 1) into 1
0.514 * [backup-simplify]: Simplify (* -1 1) into -1
0.514 * [taylor]: Taking taylor expansion of -1 in p
0.514 * [backup-simplify]: Simplify -1 into -1
0.514 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.516 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0
0.516 * [taylor]: Taking taylor expansion of 0 in p
0.516 * [backup-simplify]: Simplify 0 into 0
0.516 * [backup-simplify]: Simplify 0 into 0
0.516 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.518 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.520 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow p 2))))
0.522 * [backup-simplify]: Simplify (/ (- (- (* 4.0 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2.0 (pow p 2))
0.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -2.0 (pow p 2)) 1))) into (- (* 2.0 (/ 1 (pow p 2))))
0.524 * [backup-simplify]: Simplify (+ (* -1 (- (* 2.0 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (* 2.0 (/ 1 (pow p 2)))
0.524 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow p 2))) in p
0.524 * [taylor]: Taking taylor expansion of 2.0 in p
0.524 * [backup-simplify]: Simplify 2.0 into 2.0
0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.524 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.524 * [taylor]: Taking taylor expansion of p in p
0.524 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify 1 into 1
0.527 * [backup-simplify]: Simplify (* 1 1) into 1
0.527 * [backup-simplify]: Simplify (/ 1 1) into 1
0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.534 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2 1)
0.534 * [backup-simplify]: Simplify (+ (* (* 4.0 p) p) (* x x)) into (+ (pow x 2) (* 4.0 (pow p 2)))
0.534 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in (p x) around 0
0.534 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
0.534 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.534 * [taylor]: Taking taylor expansion of x in x
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 1 into 1
0.534 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
0.534 * [taylor]: Taking taylor expansion of 4.0 in x
0.535 * [backup-simplify]: Simplify 4.0 into 4.0
0.535 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.535 * [taylor]: Taking taylor expansion of p in x
0.535 * [backup-simplify]: Simplify p into p
0.535 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p
0.535 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.535 * [taylor]: Taking taylor expansion of x in p
0.535 * [backup-simplify]: Simplify x into x
0.535 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p
0.535 * [taylor]: Taking taylor expansion of 4.0 in p
0.535 * [backup-simplify]: Simplify 4.0 into 4.0
0.535 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.535 * [taylor]: Taking taylor expansion of p in p
0.535 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify 1 into 1
0.535 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p
0.535 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.535 * [taylor]: Taking taylor expansion of x in p
0.535 * [backup-simplify]: Simplify x into x
0.535 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p
0.535 * [taylor]: Taking taylor expansion of 4.0 in p
0.535 * [backup-simplify]: Simplify 4.0 into 4.0
0.535 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.535 * [taylor]: Taking taylor expansion of p in p
0.535 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify 1 into 1
0.535 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.536 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.536 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.536 * [taylor]: Taking taylor expansion of x in x
0.536 * [backup-simplify]: Simplify 0 into 0
0.536 * [backup-simplify]: Simplify 1 into 1
0.536 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.536 * [backup-simplify]: Simplify (+ 0 0) into 0
0.536 * [taylor]: Taking taylor expansion of 0 in x
0.536 * [backup-simplify]: Simplify 0 into 0
0.536 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.537 * [backup-simplify]: Simplify (* 1 1) into 1
0.538 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.538 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
0.538 * [taylor]: Taking taylor expansion of 4.0 in x
0.538 * [backup-simplify]: Simplify 4.0 into 4.0
0.538 * [backup-simplify]: Simplify 4.0 into 4.0
0.538 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify (* 1 1) into 1
0.539 * [backup-simplify]: Simplify 1 into 1
0.540 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
0.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.541 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.541 * [backup-simplify]: Simplify (+ 0 0) into 0
0.541 * [taylor]: Taking taylor expansion of 0 in x
0.541 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.542 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0
0.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.544 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
0.544 * [backup-simplify]: Simplify (+ 0 0) into 0
0.544 * [taylor]: Taking taylor expansion of 0 in x
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 4.0 (pow (* 1 p) 2))) into (+ (pow x 2) (* 4.0 (pow p 2)))
0.545 * [backup-simplify]: Simplify (+ (* (* 4.0 (/ 1 p)) (/ 1 p)) (* (/ 1 x) (/ 1 x))) into (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))
0.545 * [approximate]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in (p x) around 0
0.545 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.545 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
0.545 * [taylor]: Taking taylor expansion of 4.0 in x
0.545 * [backup-simplify]: Simplify 4.0 into 4.0
0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.545 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.545 * [taylor]: Taking taylor expansion of p in x
0.545 * [backup-simplify]: Simplify p into p
0.545 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.545 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.545 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.545 * [taylor]: Taking taylor expansion of x in x
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 1 into 1
0.546 * [backup-simplify]: Simplify (* 1 1) into 1
0.546 * [backup-simplify]: Simplify (/ 1 1) into 1
0.546 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.546 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
0.546 * [taylor]: Taking taylor expansion of 4.0 in p
0.546 * [backup-simplify]: Simplify 4.0 into 4.0
0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.546 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.546 * [taylor]: Taking taylor expansion of p in p
0.546 * [backup-simplify]: Simplify 0 into 0
0.546 * [backup-simplify]: Simplify 1 into 1
0.546 * [backup-simplify]: Simplify (* 1 1) into 1
0.547 * [backup-simplify]: Simplify (/ 1 1) into 1
0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.547 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.547 * [taylor]: Taking taylor expansion of x in p
0.547 * [backup-simplify]: Simplify x into x
0.547 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.547 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.547 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.547 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
0.547 * [taylor]: Taking taylor expansion of 4.0 in p
0.547 * [backup-simplify]: Simplify 4.0 into 4.0
0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.547 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.547 * [taylor]: Taking taylor expansion of p in p
0.547 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify 1 into 1
0.547 * [backup-simplify]: Simplify (* 1 1) into 1
0.547 * [backup-simplify]: Simplify (/ 1 1) into 1
0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.547 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.548 * [taylor]: Taking taylor expansion of x in p
0.548 * [backup-simplify]: Simplify x into x
0.548 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.548 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.548 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.548 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
0.548 * [taylor]: Taking taylor expansion of 4.0 in x
0.548 * [backup-simplify]: Simplify 4.0 into 4.0
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.550 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.550 * [backup-simplify]: Simplify (+ 0 0) into 0
0.550 * [taylor]: Taking taylor expansion of 0 in x
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.552 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
0.552 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.552 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.552 * [taylor]: Taking taylor expansion of x in x
0.552 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify 1 into 1
0.552 * [backup-simplify]: Simplify (* 1 1) into 1
0.553 * [backup-simplify]: Simplify (/ 1 1) into 1
0.553 * [backup-simplify]: Simplify 1 into 1
0.553 * [backup-simplify]: Simplify 4.0 into 4.0
0.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.555 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.555 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.555 * [backup-simplify]: Simplify (+ 0 0) into 0
0.555 * [taylor]: Taking taylor expansion of 0 in x
0.555 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.556 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.558 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.558 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
0.559 * [backup-simplify]: Simplify (+ 0 0) into 0
0.559 * [taylor]: Taking taylor expansion of 0 in x
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* 1 (/ 1 (/ 1 p))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow x 2) (* 4.0 (pow p 2)))
0.561 * [backup-simplify]: Simplify (+ (* (* 4.0 (/ 1 (- p))) (/ 1 (- p))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))
0.561 * [approximate]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in (p x) around 0
0.561 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.561 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
0.561 * [taylor]: Taking taylor expansion of 4.0 in x
0.561 * [backup-simplify]: Simplify 4.0 into 4.0
0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.561 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.561 * [taylor]: Taking taylor expansion of p in x
0.561 * [backup-simplify]: Simplify p into p
0.561 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.561 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.561 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.561 * [taylor]: Taking taylor expansion of x in x
0.561 * [backup-simplify]: Simplify 0 into 0
0.561 * [backup-simplify]: Simplify 1 into 1
0.561 * [backup-simplify]: Simplify (* 1 1) into 1
0.562 * [backup-simplify]: Simplify (/ 1 1) into 1
0.562 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.562 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
0.562 * [taylor]: Taking taylor expansion of 4.0 in p
0.562 * [backup-simplify]: Simplify 4.0 into 4.0
0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.562 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.562 * [taylor]: Taking taylor expansion of p in p
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify 1 into 1
0.562 * [backup-simplify]: Simplify (* 1 1) into 1
0.562 * [backup-simplify]: Simplify (/ 1 1) into 1
0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.562 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.562 * [taylor]: Taking taylor expansion of x in p
0.562 * [backup-simplify]: Simplify x into x
0.563 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.563 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.563 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.563 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
0.563 * [taylor]: Taking taylor expansion of 4.0 in p
0.563 * [backup-simplify]: Simplify 4.0 into 4.0
0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.563 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.563 * [taylor]: Taking taylor expansion of p in p
0.563 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify 1 into 1
0.563 * [backup-simplify]: Simplify (* 1 1) into 1
0.563 * [backup-simplify]: Simplify (/ 1 1) into 1
0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.563 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.563 * [taylor]: Taking taylor expansion of x in p
0.563 * [backup-simplify]: Simplify x into x
0.563 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.564 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.564 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.564 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
0.564 * [taylor]: Taking taylor expansion of 4.0 in x
0.564 * [backup-simplify]: Simplify 4.0 into 4.0
0.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.566 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.566 * [backup-simplify]: Simplify (+ 0 0) into 0
0.566 * [taylor]: Taking taylor expansion of 0 in x
0.566 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.568 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
0.568 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.568 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.568 * [taylor]: Taking taylor expansion of x in x
0.568 * [backup-simplify]: Simplify 0 into 0
0.568 * [backup-simplify]: Simplify 1 into 1
0.569 * [backup-simplify]: Simplify (* 1 1) into 1
0.569 * [backup-simplify]: Simplify (/ 1 1) into 1
0.569 * [backup-simplify]: Simplify 1 into 1
0.569 * [backup-simplify]: Simplify 4.0 into 4.0
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.572 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.572 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.573 * [backup-simplify]: Simplify (+ 0 0) into 0
0.573 * [taylor]: Taking taylor expansion of 0 in x
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.574 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify 0 into 0
0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.577 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.578 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
0.578 * [backup-simplify]: Simplify (+ 0 0) into 0
0.578 * [taylor]: Taking taylor expansion of 0 in x
0.578 * [backup-simplify]: Simplify 0 into 0
0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.580 * [backup-simplify]: Simplify 0 into 0
0.580 * [backup-simplify]: Simplify 0 into 0
0.580 * [backup-simplify]: Simplify 0 into 0
0.580 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* 1 (/ 1 (/ 1 (- p)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow x 2) (* 4.0 (pow p 2)))
0.580 * * * [progress]: simplifying candidates
0.581 * [simplify]: Simplifying:
  (log (sqrt (+ (* (* 4.0 p) p) (* x x))))
  (exp (sqrt (+ (* (* 4.0 p) p) (* x x))))
  (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))
  (* (* (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (+ (* (* 4.0 p) p) (* x x))))
  (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))
  (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))
  (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))
  (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))
  (sqrt 1)
  (sqrt (+ (* (* 4.0 p) p) (* x x)))
  (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3)))
  (sqrt (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x)))))
  (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x))))
  (sqrt (- (* (* 4.0 p) p) (* x x)))
  (/ 1 2)
  (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))
  (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x))))
  (* (exp 1.0) (exp (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))
  (log (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))
  (exp (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))
  (* (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))
  (cbrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))
  (* (* (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))) (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))
  (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))
  (sqrt (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))
  (+ (pow 1.0 3) (pow (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) 3))
  (+ (* 1.0 1.0) (- (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (* 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))))
  (- (* 1.0 1.0) (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))
  (- 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (+ 1.0 (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (- (log x) (log (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (log (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (exp (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (/ (* (* x x) x) (* (* (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt (+ (* (* 4.0 p) p) (* x x)))) (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (* (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))))
  (cbrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (* (* (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))) (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (sqrt (/ x (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (- x)
  (- (sqrt (+ (* (* 4.0 p) p) (* x x))))
  (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))
  (/ (cbrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (/ (* (cbrt x) (cbrt x)) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x))))))
  (/ (cbrt x) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))))
  (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (/ (* (cbrt x) (cbrt x)) (sqrt 1))
  (/ (cbrt x) (sqrt (+ (* (* 4.0 p) p) (* x x))))
  (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (/ (cbrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (/ (* (cbrt x) (cbrt x)) 1)
  (/ (cbrt x) (sqrt (+ (* (* 4.0 p) p) (* x x))))
  (/ (sqrt x) (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))
  (/ (sqrt x) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (/ (sqrt x) (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x))))))
  (/ (sqrt x) (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))))
  (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (/ (sqrt x) (sqrt 1))
  (/ (sqrt x) (sqrt (+ (* (* 4.0 p) p) (* x x))))
  (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (/ (sqrt x) (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (/ (sqrt x) 1)
  (/ (sqrt x) (sqrt (+ (* (* 4.0 p) p) (* x x))))
  (/ 1 (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))
  (/ x (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (/ 1 (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x))))))
  (/ x (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x)))))
  (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (/ 1 (sqrt 1))
  (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))
  (/ 1 (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (/ 1 1)
  (/ x (sqrt (+ (* (* 4.0 p) p) (* x x))))
  (/ 1 (sqrt (+ (* (* 4.0 p) p) (* x x))))
  (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) x)
  (/ x (* (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x)))) (cbrt (sqrt (+ (* (* 4.0 p) p) (* x x))))))
  (/ x (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x))))))
  (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (/ x (sqrt 1))
  (/ x (sqrt (sqrt (+ (* (* 4.0 p) p) (* x x)))))
  (/ x 1)
  (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) (cbrt x))
  (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) (sqrt x))
  (/ (sqrt (+ (* (* 4.0 p) p) (* x x))) x)
  (/ x (sqrt (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3))))
  (/ x (sqrt (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))))
  (* (exp (* (* 4.0 p) p)) (exp (* x x)))
  (log (+ (* (* 4.0 p) p) (* x x)))
  (exp (+ (* (* 4.0 p) p) (* x x)))
  (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x))))
  (cbrt (+ (* (* 4.0 p) p) (* x x)))
  (* (* (+ (* (* 4.0 p) p) (* x x)) (+ (* (* 4.0 p) p) (* x x))) (+ (* (* 4.0 p) p) (* x x)))
  (sqrt (+ (* (* 4.0 p) p) (* x x)))
  (sqrt (+ (* (* 4.0 p) p) (* x x)))
  (+ (pow (* (* 4.0 p) p) 3) (pow (* x x) 3))
  (+ (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (- (* (* x x) (* x x)) (* (* (* 4.0 p) p) (* x x))))
  (- (* (* (* 4.0 p) p) (* (* 4.0 p) p)) (* (* x x) (* x x)))
  (- (* (* 4.0 p) p) (* x x))
  x
  (* p (sqrt 4.0))
  (* -1 (* p (sqrt 4.0)))
  1.0
  2.0
  0
  0
  0
  0
  (+ (pow x 2) (* 4.0 (pow p 2)))
  (+ (pow x 2) (* 4.0 (pow p 2)))
  (+ (pow x 2) (* 4.0 (pow p 2)))
0.583 * * [simplify]: iteration 0: 127 enodes
0.605 * * [simplify]: iteration 1: 305 enodes
0.734 * * [simplify]: iteration 2: 1422 enodes
1.165 * * [simplify]: iteration complete: 5001 enodes
1.165 * * [simplify]: Extracting #0: cost 80 inf + 0
1.166 * * [simplify]: Extracting #1: cost 481 inf + 47
1.170 * * [simplify]: Extracting #2: cost 1702 inf + 2734
1.180 * * [simplify]: Extracting #3: cost 1724 inf + 43065
1.231 * * [simplify]: Extracting #4: cost 729 inf + 234536
1.298 * * [simplify]: Extracting #5: cost 203 inf + 372036
1.385 * * [simplify]: Extracting #6: cost 23 inf + 436356
1.475 * * [simplify]: Extracting #7: cost 2 inf + 443384
1.564 * * [simplify]: Extracting #8: cost 0 inf + 444232
1.645 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (exp (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (cbrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (+ (* x x) (* p (* 4.0 p))) (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (fabs (cbrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (cbrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  1
  (sqrt (+ (* x x) (* p (* 4.0 p))))
  (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* p (* 4.0 p)) (* (* p (* 4.0 p)) (* p (* 4.0 p))))))
  (sqrt (+ (* (- (* x x) (* p (* 4.0 p))) (* x x)) (* (* p (* 4.0 p)) (* p (* 4.0 p)))))
  (sqrt (* (+ (* p (* 4.0 p)) (* x x)) (- (* p (* 4.0 p)) (* x x))))
  (sqrt (- (* p (* 4.0 p)) (* x x)))
  1/2
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (exp (+ (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0))
  (log (+ (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0))
  (exp (+ (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0))
  (* (cbrt (+ (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (cbrt (+ (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)))
  (cbrt (+ (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0))
  (* (* (+ (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0) (+ (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (+ (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0))
  (sqrt (+ (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0))
  (sqrt (+ (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0))
  (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p))))))
  (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))
  (- (* 1.0 1.0) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (/ x (sqrt (+ (* x x) (* p (* 4.0 p)))))))
  (- 1.0 (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (+ (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)
  (log (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (log (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (exp (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))
  (* (cbrt (/ x (sqrt (+ (* x x) (* p (* 4.0 p)))))) (cbrt (/ x (sqrt (+ (* x x) (* p (* 4.0 p)))))))
  (cbrt (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (sqrt (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (- x)
  (- (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (/ (cbrt x) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p)))))) (/ (cbrt x) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p)))))))
  (/ (cbrt x) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (/ (* (cbrt x) (cbrt x)) (fabs (cbrt (+ (* x x) (* p (* 4.0 p))))))
  (/ (cbrt x) (sqrt (cbrt (+ (* x x) (* p (* 4.0 p))))))
  (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (* (cbrt x) (cbrt x))
  (/ (cbrt x) (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (* (cbrt x) (cbrt x))
  (/ (cbrt x) (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (/ (/ (sqrt x) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p)))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (/ (sqrt x) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (/ (sqrt x) (fabs (cbrt (+ (* x x) (* p (* 4.0 p))))))
  (/ (sqrt x) (sqrt (cbrt (+ (* x x) (* p (* 4.0 p))))))
  (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (sqrt x)
  (/ (sqrt x) (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (sqrt x)
  (/ (sqrt x) (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (/ 1 (* (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p)))))))
  (/ x (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (/ 1 (fabs (cbrt (+ (* x x) (* p (* 4.0 p))))))
  (/ x (sqrt (cbrt (+ (* x x) (* p (* 4.0 p))))))
  (/ 1 (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (/ x (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  1
  (/ x (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (/ 1 (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (/ x (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  1
  (/ x (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (/ 1 (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (/ (sqrt (+ (* x x) (* p (* 4.0 p)))) x)
  (/ x (* (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p)))))))
  (/ x (fabs (cbrt (+ (* x x) (* p (* 4.0 p))))))
  (/ x (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  x
  (/ x (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  x
  (/ (sqrt (+ (* x x) (* p (* 4.0 p)))) (cbrt x))
  (/ (sqrt (+ (* x x) (* p (* 4.0 p)))) (sqrt x))
  (/ (sqrt (+ (* x x) (* p (* 4.0 p)))) x)
  (/ x (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* p (* 4.0 p)) (* (* p (* 4.0 p)) (* p (* 4.0 p)))))))
  (/ x (sqrt (* (+ (* p (* 4.0 p)) (* x x)) (- (* p (* 4.0 p)) (* x x)))))
  (exp (+ (* x x) (* p (* 4.0 p))))
  (log (+ (* x x) (* p (* 4.0 p))))
  (exp (+ (* x x) (* p (* 4.0 p))))
  (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p)))))
  (cbrt (+ (* x x) (* p (* 4.0 p))))
  (* (+ (* x x) (* p (* 4.0 p))) (* (+ (* x x) (* p (* 4.0 p))) (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (+ (* x x) (* p (* 4.0 p))))
  (sqrt (+ (* x x) (* p (* 4.0 p))))
  (+ (* (* x (* x x)) (* x (* x x))) (* (* p (* 4.0 p)) (* (* p (* 4.0 p)) (* p (* 4.0 p)))))
  (+ (* (- (* x x) (* p (* 4.0 p))) (* x x)) (* (* p (* 4.0 p)) (* p (* 4.0 p))))
  (* (+ (* p (* 4.0 p)) (* x x)) (- (* p (* 4.0 p)) (* x x)))
  (- (* p (* 4.0 p)) (* x x))
  x
  (* p (sqrt 4.0))
  (* (- p) (sqrt 4.0))
  1.0
  2.0
  0
  0
  0
  0
  (+ (* x x) (* p (* 4.0 p)))
  (+ (* x x) (* p (* 4.0 p)))
  (+ (* x x) (* p (* 4.0 p)))
1.654 * * * [progress]: adding candidates to table
2.106 * * [progress]: iteration 2 / 4
2.106 * * * [progress]: picking best candidate
2.184 * * * * [pick]: Picked  #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))>
2.184 * * * [progress]: localizing error
2.256 * * * [progress]: generating rewritten candidates
2.256 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1 2 1 2)
2.262 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 1 2)
2.268 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2 1 2)
2.280 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 2)
2.297 * * * [progress]: generating series expansions
2.297 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1 2 1 2)
2.297 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* 4.0 p)))) into (sqrt (+ (pow x 2) (* 4.0 (pow p 2))))
2.297 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (x p) around 0
2.297 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p
2.297 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p
2.297 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.298 * [taylor]: Taking taylor expansion of x in p
2.298 * [backup-simplify]: Simplify x into x
2.298 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p
2.298 * [taylor]: Taking taylor expansion of 4.0 in p
2.298 * [backup-simplify]: Simplify 4.0 into 4.0
2.298 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.298 * [taylor]: Taking taylor expansion of p in p
2.298 * [backup-simplify]: Simplify 0 into 0
2.298 * [backup-simplify]: Simplify 1 into 1
2.298 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.298 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.298 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.298 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.299 * [backup-simplify]: Simplify (+ 0 0) into 0
2.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.299 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
2.299 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
2.299 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.299 * [taylor]: Taking taylor expansion of x in x
2.299 * [backup-simplify]: Simplify 0 into 0
2.299 * [backup-simplify]: Simplify 1 into 1
2.299 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
2.299 * [taylor]: Taking taylor expansion of 4.0 in x
2.300 * [backup-simplify]: Simplify 4.0 into 4.0
2.300 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.300 * [taylor]: Taking taylor expansion of p in x
2.300 * [backup-simplify]: Simplify p into p
2.300 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.300 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
2.300 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
2.300 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
2.300 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.301 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
2.301 * [backup-simplify]: Simplify (+ 0 0) into 0
2.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
2.302 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
2.302 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
2.302 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.302 * [taylor]: Taking taylor expansion of x in x
2.302 * [backup-simplify]: Simplify 0 into 0
2.302 * [backup-simplify]: Simplify 1 into 1
2.302 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
2.302 * [taylor]: Taking taylor expansion of 4.0 in x
2.302 * [backup-simplify]: Simplify 4.0 into 4.0
2.302 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.302 * [taylor]: Taking taylor expansion of p in x
2.302 * [backup-simplify]: Simplify p into p
2.302 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.302 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
2.302 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
2.303 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
2.303 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.303 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
2.304 * [backup-simplify]: Simplify (+ 0 0) into 0
2.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
2.304 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p
2.304 * [taylor]: Taking taylor expansion of p in p
2.304 * [backup-simplify]: Simplify 0 into 0
2.304 * [backup-simplify]: Simplify 1 into 1
2.304 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p
2.304 * [taylor]: Taking taylor expansion of 4.0 in p
2.304 * [backup-simplify]: Simplify 4.0 into 4.0
2.305 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
2.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
2.306 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
2.306 * [backup-simplify]: Simplify 0 into 0
2.306 * [taylor]: Taking taylor expansion of 0 in p
2.306 * [backup-simplify]: Simplify 0 into 0
2.306 * [backup-simplify]: Simplify 0 into 0
2.307 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
2.307 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
2.308 * [backup-simplify]: Simplify (* 1 1) into 1
2.308 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
2.308 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
2.309 * [backup-simplify]: Simplify (+ 1 0) into 1
2.309 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* p (sqrt 4.0)))) into (/ 1/2 (* p (sqrt 4.0)))
2.309 * [taylor]: Taking taylor expansion of (/ 1/2 (* p (sqrt 4.0))) in p
2.309 * [taylor]: Taking taylor expansion of 1/2 in p
2.310 * [backup-simplify]: Simplify 1/2 into 1/2
2.310 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p
2.310 * [taylor]: Taking taylor expansion of p in p
2.310 * [backup-simplify]: Simplify 0 into 0
2.310 * [backup-simplify]: Simplify 1 into 1
2.310 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p
2.310 * [taylor]: Taking taylor expansion of 4.0 in p
2.310 * [backup-simplify]: Simplify 4.0 into 4.0
2.310 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
2.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
2.311 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
2.312 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
2.313 * [backup-simplify]: Simplify (/ 1/2 (sqrt 4.0)) into (/ 1/2 (sqrt 4.0))
2.313 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
2.314 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
2.315 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))))) into 0
2.315 * [backup-simplify]: Simplify 0 into 0
2.315 * [backup-simplify]: Simplify 0 into 0
2.315 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
2.316 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
2.316 * [backup-simplify]: Simplify 0 into 0
2.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.317 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
2.318 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
2.318 * [backup-simplify]: Simplify (+ 0 0) into 0
2.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* p (sqrt 4.0))))))) (* 2 (* p (sqrt 4.0)))) into 0
2.319 * [taylor]: Taking taylor expansion of 0 in p
2.319 * [backup-simplify]: Simplify 0 into 0
2.319 * [backup-simplify]: Simplify 0 into 0
2.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4.0))) into 0
2.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 4.0))))) into 0
2.321 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))) (* 0 (/ 0 (sqrt 4.0))))) into 0
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify (* (sqrt 4.0) (* p 1)) into (* p (sqrt 4.0))
2.321 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4.0 (/ 1 p))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
2.321 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
2.321 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
2.321 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
2.321 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
2.321 * [taylor]: Taking taylor expansion of 4.0 in p
2.321 * [backup-simplify]: Simplify 4.0 into 4.0
2.322 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
2.322 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.322 * [taylor]: Taking taylor expansion of p in p
2.322 * [backup-simplify]: Simplify 0 into 0
2.322 * [backup-simplify]: Simplify 1 into 1
2.322 * [backup-simplify]: Simplify (* 1 1) into 1
2.322 * [backup-simplify]: Simplify (/ 1 1) into 1
2.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
2.322 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.322 * [taylor]: Taking taylor expansion of x in p
2.322 * [backup-simplify]: Simplify x into x
2.322 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.322 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.323 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
2.323 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
2.323 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
2.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.324 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
2.325 * [backup-simplify]: Simplify (+ 0 0) into 0
2.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
2.325 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.325 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.325 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
2.325 * [taylor]: Taking taylor expansion of 4.0 in x
2.325 * [backup-simplify]: Simplify 4.0 into 4.0
2.325 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.325 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.325 * [taylor]: Taking taylor expansion of p in x
2.325 * [backup-simplify]: Simplify p into p
2.325 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.325 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.325 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.325 * [taylor]: Taking taylor expansion of x in x
2.325 * [backup-simplify]: Simplify 0 into 0
2.325 * [backup-simplify]: Simplify 1 into 1
2.326 * [backup-simplify]: Simplify (* 1 1) into 1
2.326 * [backup-simplify]: Simplify (/ 1 1) into 1
2.326 * [backup-simplify]: Simplify (+ 0 1) into 1
2.326 * [backup-simplify]: Simplify (sqrt 1) into 1
2.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.327 * [backup-simplify]: Simplify (+ 0 0) into 0
2.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.328 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.328 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.328 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
2.328 * [taylor]: Taking taylor expansion of 4.0 in x
2.328 * [backup-simplify]: Simplify 4.0 into 4.0
2.328 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.328 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.328 * [taylor]: Taking taylor expansion of p in x
2.328 * [backup-simplify]: Simplify p into p
2.328 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.328 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.328 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.328 * [taylor]: Taking taylor expansion of x in x
2.328 * [backup-simplify]: Simplify 0 into 0
2.328 * [backup-simplify]: Simplify 1 into 1
2.329 * [backup-simplify]: Simplify (* 1 1) into 1
2.329 * [backup-simplify]: Simplify (/ 1 1) into 1
2.329 * [backup-simplify]: Simplify (+ 0 1) into 1
2.329 * [backup-simplify]: Simplify (sqrt 1) into 1
2.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.330 * [backup-simplify]: Simplify (+ 0 0) into 0
2.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.331 * [taylor]: Taking taylor expansion of 1 in p
2.331 * [backup-simplify]: Simplify 1 into 1
2.331 * [taylor]: Taking taylor expansion of 0 in p
2.331 * [backup-simplify]: Simplify 0 into 0
2.331 * [backup-simplify]: Simplify 1 into 1
2.331 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
2.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.332 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
2.333 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow p 2))
2.333 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p
2.333 * [taylor]: Taking taylor expansion of 2.0 in p
2.333 * [backup-simplify]: Simplify 2.0 into 2.0
2.333 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.333 * [taylor]: Taking taylor expansion of p in p
2.333 * [backup-simplify]: Simplify 0 into 0
2.333 * [backup-simplify]: Simplify 1 into 1
2.334 * [backup-simplify]: Simplify (* 1 1) into 1
2.334 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
2.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
2.336 * [backup-simplify]: Simplify 0 into 0
2.336 * [backup-simplify]: Simplify 0 into 0
2.336 * [backup-simplify]: Simplify 0 into 0
2.336 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
2.337 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
2.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.339 * [backup-simplify]: Simplify (+ 0 0) into 0
2.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow p 2)))))) (* 2 1)) into 0
2.340 * [taylor]: Taking taylor expansion of 0 in p
2.340 * [backup-simplify]: Simplify 0 into 0
2.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.342 * [backup-simplify]: Simplify 0 into 0
2.342 * [backup-simplify]: Simplify 0 into 0
2.342 * [backup-simplify]: Simplify 0 into 0
2.342 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.343 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4.0 (/ 1 (- p)))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
2.343 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
2.343 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
2.343 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
2.343 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
2.343 * [taylor]: Taking taylor expansion of 4.0 in p
2.343 * [backup-simplify]: Simplify 4.0 into 4.0
2.343 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
2.343 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.343 * [taylor]: Taking taylor expansion of p in p
2.343 * [backup-simplify]: Simplify 0 into 0
2.343 * [backup-simplify]: Simplify 1 into 1
2.344 * [backup-simplify]: Simplify (* 1 1) into 1
2.344 * [backup-simplify]: Simplify (/ 1 1) into 1
2.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
2.344 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.344 * [taylor]: Taking taylor expansion of x in p
2.344 * [backup-simplify]: Simplify x into x
2.344 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.344 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.345 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
2.345 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
2.346 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
2.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.348 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
2.348 * [backup-simplify]: Simplify (+ 0 0) into 0
2.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
2.349 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.349 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.349 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
2.349 * [taylor]: Taking taylor expansion of 4.0 in x
2.349 * [backup-simplify]: Simplify 4.0 into 4.0
2.349 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.349 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.349 * [taylor]: Taking taylor expansion of p in x
2.349 * [backup-simplify]: Simplify p into p
2.349 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.350 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.350 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.350 * [taylor]: Taking taylor expansion of x in x
2.350 * [backup-simplify]: Simplify 0 into 0
2.350 * [backup-simplify]: Simplify 1 into 1
2.350 * [backup-simplify]: Simplify (* 1 1) into 1
2.351 * [backup-simplify]: Simplify (/ 1 1) into 1
2.351 * [backup-simplify]: Simplify (+ 0 1) into 1
2.351 * [backup-simplify]: Simplify (sqrt 1) into 1
2.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.353 * [backup-simplify]: Simplify (+ 0 0) into 0
2.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.354 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.354 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.354 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
2.354 * [taylor]: Taking taylor expansion of 4.0 in x
2.354 * [backup-simplify]: Simplify 4.0 into 4.0
2.354 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.354 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.354 * [taylor]: Taking taylor expansion of p in x
2.355 * [backup-simplify]: Simplify p into p
2.355 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.355 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.355 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.355 * [taylor]: Taking taylor expansion of x in x
2.355 * [backup-simplify]: Simplify 0 into 0
2.355 * [backup-simplify]: Simplify 1 into 1
2.356 * [backup-simplify]: Simplify (* 1 1) into 1
2.356 * [backup-simplify]: Simplify (/ 1 1) into 1
2.357 * [backup-simplify]: Simplify (+ 0 1) into 1
2.357 * [backup-simplify]: Simplify (sqrt 1) into 1
2.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.359 * [backup-simplify]: Simplify (+ 0 0) into 0
2.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.360 * [taylor]: Taking taylor expansion of 1 in p
2.360 * [backup-simplify]: Simplify 1 into 1
2.360 * [taylor]: Taking taylor expansion of 0 in p
2.360 * [backup-simplify]: Simplify 0 into 0
2.360 * [backup-simplify]: Simplify 1 into 1
2.360 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
2.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.363 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
2.364 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow p 2))
2.364 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p
2.364 * [taylor]: Taking taylor expansion of 2.0 in p
2.364 * [backup-simplify]: Simplify 2.0 into 2.0
2.364 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.364 * [taylor]: Taking taylor expansion of p in p
2.364 * [backup-simplify]: Simplify 0 into 0
2.364 * [backup-simplify]: Simplify 1 into 1
2.365 * [backup-simplify]: Simplify (* 1 1) into 1
2.365 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
2.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
2.366 * [backup-simplify]: Simplify 0 into 0
2.366 * [backup-simplify]: Simplify 0 into 0
2.366 * [backup-simplify]: Simplify 0 into 0
2.366 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
2.367 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
2.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.368 * [backup-simplify]: Simplify (+ 0 0) into 0
2.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow p 2)))))) (* 2 1)) into 0
2.369 * [taylor]: Taking taylor expansion of 0 in p
2.369 * [backup-simplify]: Simplify 0 into 0
2.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.370 * [backup-simplify]: Simplify 0 into 0
2.370 * [backup-simplify]: Simplify 0 into 0
2.370 * [backup-simplify]: Simplify 0 into 0
2.370 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.370 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 1 2)
2.370 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* 4.0 p)))) into (sqrt (+ (pow x 2) (* 4.0 (pow p 2))))
2.370 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (x p) around 0
2.370 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p
2.370 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p
2.370 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.370 * [taylor]: Taking taylor expansion of x in p
2.370 * [backup-simplify]: Simplify x into x
2.370 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p
2.370 * [taylor]: Taking taylor expansion of 4.0 in p
2.370 * [backup-simplify]: Simplify 4.0 into 4.0
2.370 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.370 * [taylor]: Taking taylor expansion of p in p
2.370 * [backup-simplify]: Simplify 0 into 0
2.370 * [backup-simplify]: Simplify 1 into 1
2.370 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.370 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.371 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.371 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.371 * [backup-simplify]: Simplify (+ 0 0) into 0
2.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.371 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
2.371 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
2.371 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.371 * [taylor]: Taking taylor expansion of x in x
2.371 * [backup-simplify]: Simplify 0 into 0
2.371 * [backup-simplify]: Simplify 1 into 1
2.371 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
2.371 * [taylor]: Taking taylor expansion of 4.0 in x
2.371 * [backup-simplify]: Simplify 4.0 into 4.0
2.371 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.371 * [taylor]: Taking taylor expansion of p in x
2.371 * [backup-simplify]: Simplify p into p
2.371 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.371 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
2.371 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
2.372 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
2.372 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.372 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
2.372 * [backup-simplify]: Simplify (+ 0 0) into 0
2.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
2.372 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
2.372 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
2.372 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.372 * [taylor]: Taking taylor expansion of x in x
2.372 * [backup-simplify]: Simplify 0 into 0
2.372 * [backup-simplify]: Simplify 1 into 1
2.372 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
2.372 * [taylor]: Taking taylor expansion of 4.0 in x
2.372 * [backup-simplify]: Simplify 4.0 into 4.0
2.372 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.373 * [taylor]: Taking taylor expansion of p in x
2.373 * [backup-simplify]: Simplify p into p
2.373 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.373 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
2.373 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
2.373 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
2.373 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.373 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
2.374 * [backup-simplify]: Simplify (+ 0 0) into 0
2.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
2.374 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p
2.374 * [taylor]: Taking taylor expansion of p in p
2.374 * [backup-simplify]: Simplify 0 into 0
2.374 * [backup-simplify]: Simplify 1 into 1
2.374 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p
2.374 * [taylor]: Taking taylor expansion of 4.0 in p
2.374 * [backup-simplify]: Simplify 4.0 into 4.0
2.374 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
2.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
2.375 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
2.375 * [backup-simplify]: Simplify 0 into 0
2.375 * [taylor]: Taking taylor expansion of 0 in p
2.375 * [backup-simplify]: Simplify 0 into 0
2.375 * [backup-simplify]: Simplify 0 into 0
2.376 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
2.376 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
2.377 * [backup-simplify]: Simplify (* 1 1) into 1
2.377 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
2.378 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
2.378 * [backup-simplify]: Simplify (+ 1 0) into 1
2.378 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* p (sqrt 4.0)))) into (/ 1/2 (* p (sqrt 4.0)))
2.379 * [taylor]: Taking taylor expansion of (/ 1/2 (* p (sqrt 4.0))) in p
2.379 * [taylor]: Taking taylor expansion of 1/2 in p
2.379 * [backup-simplify]: Simplify 1/2 into 1/2
2.379 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p
2.379 * [taylor]: Taking taylor expansion of p in p
2.379 * [backup-simplify]: Simplify 0 into 0
2.379 * [backup-simplify]: Simplify 1 into 1
2.379 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p
2.379 * [taylor]: Taking taylor expansion of 4.0 in p
2.379 * [backup-simplify]: Simplify 4.0 into 4.0
2.379 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
2.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
2.380 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
2.381 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
2.385 * [backup-simplify]: Simplify (/ 1/2 (sqrt 4.0)) into (/ 1/2 (sqrt 4.0))
2.385 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
2.386 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
2.387 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))))) into 0
2.387 * [backup-simplify]: Simplify 0 into 0
2.387 * [backup-simplify]: Simplify 0 into 0
2.387 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
2.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
2.388 * [backup-simplify]: Simplify 0 into 0
2.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.389 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
2.390 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
2.390 * [backup-simplify]: Simplify (+ 0 0) into 0
2.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* p (sqrt 4.0))))))) (* 2 (* p (sqrt 4.0)))) into 0
2.391 * [taylor]: Taking taylor expansion of 0 in p
2.391 * [backup-simplify]: Simplify 0 into 0
2.391 * [backup-simplify]: Simplify 0 into 0
2.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4.0))) into 0
2.392 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 4.0))))) into 0
2.393 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))) (* 0 (/ 0 (sqrt 4.0))))) into 0
2.393 * [backup-simplify]: Simplify 0 into 0
2.393 * [backup-simplify]: Simplify 0 into 0
2.393 * [backup-simplify]: Simplify (* (sqrt 4.0) (* p 1)) into (* p (sqrt 4.0))
2.393 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4.0 (/ 1 p))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
2.393 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
2.393 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
2.393 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
2.393 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
2.393 * [taylor]: Taking taylor expansion of 4.0 in p
2.393 * [backup-simplify]: Simplify 4.0 into 4.0
2.393 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
2.393 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.393 * [taylor]: Taking taylor expansion of p in p
2.393 * [backup-simplify]: Simplify 0 into 0
2.393 * [backup-simplify]: Simplify 1 into 1
2.394 * [backup-simplify]: Simplify (* 1 1) into 1
2.394 * [backup-simplify]: Simplify (/ 1 1) into 1
2.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
2.394 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.394 * [taylor]: Taking taylor expansion of x in p
2.394 * [backup-simplify]: Simplify x into x
2.394 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.394 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.395 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
2.395 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
2.395 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
2.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.396 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
2.397 * [backup-simplify]: Simplify (+ 0 0) into 0
2.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
2.397 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.397 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.397 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
2.397 * [taylor]: Taking taylor expansion of 4.0 in x
2.397 * [backup-simplify]: Simplify 4.0 into 4.0
2.397 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.397 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.397 * [taylor]: Taking taylor expansion of p in x
2.397 * [backup-simplify]: Simplify p into p
2.397 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.397 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.397 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.397 * [taylor]: Taking taylor expansion of x in x
2.397 * [backup-simplify]: Simplify 0 into 0
2.398 * [backup-simplify]: Simplify 1 into 1
2.398 * [backup-simplify]: Simplify (* 1 1) into 1
2.398 * [backup-simplify]: Simplify (/ 1 1) into 1
2.399 * [backup-simplify]: Simplify (+ 0 1) into 1
2.399 * [backup-simplify]: Simplify (sqrt 1) into 1
2.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.401 * [backup-simplify]: Simplify (+ 0 0) into 0
2.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.402 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.402 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.402 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
2.402 * [taylor]: Taking taylor expansion of 4.0 in x
2.402 * [backup-simplify]: Simplify 4.0 into 4.0
2.402 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.402 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.402 * [taylor]: Taking taylor expansion of p in x
2.402 * [backup-simplify]: Simplify p into p
2.402 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.402 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.402 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.402 * [taylor]: Taking taylor expansion of x in x
2.403 * [backup-simplify]: Simplify 0 into 0
2.403 * [backup-simplify]: Simplify 1 into 1
2.403 * [backup-simplify]: Simplify (* 1 1) into 1
2.403 * [backup-simplify]: Simplify (/ 1 1) into 1
2.404 * [backup-simplify]: Simplify (+ 0 1) into 1
2.404 * [backup-simplify]: Simplify (sqrt 1) into 1
2.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.406 * [backup-simplify]: Simplify (+ 0 0) into 0
2.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.407 * [taylor]: Taking taylor expansion of 1 in p
2.407 * [backup-simplify]: Simplify 1 into 1
2.407 * [taylor]: Taking taylor expansion of 0 in p
2.407 * [backup-simplify]: Simplify 0 into 0
2.407 * [backup-simplify]: Simplify 1 into 1
2.407 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
2.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.409 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
2.410 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow p 2))
2.410 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p
2.410 * [taylor]: Taking taylor expansion of 2.0 in p
2.410 * [backup-simplify]: Simplify 2.0 into 2.0
2.410 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.410 * [taylor]: Taking taylor expansion of p in p
2.410 * [backup-simplify]: Simplify 0 into 0
2.410 * [backup-simplify]: Simplify 1 into 1
2.411 * [backup-simplify]: Simplify (* 1 1) into 1
2.411 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
2.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
2.413 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
2.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.414 * [backup-simplify]: Simplify (+ 0 0) into 0
2.415 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow p 2)))))) (* 2 1)) into 0
2.415 * [taylor]: Taking taylor expansion of 0 in p
2.415 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.417 * [backup-simplify]: Simplify 0 into 0
2.417 * [backup-simplify]: Simplify 0 into 0
2.417 * [backup-simplify]: Simplify 0 into 0
2.417 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.418 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4.0 (/ 1 (- p)))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
2.418 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
2.418 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
2.418 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
2.418 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
2.418 * [taylor]: Taking taylor expansion of 4.0 in p
2.418 * [backup-simplify]: Simplify 4.0 into 4.0
2.418 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
2.418 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.418 * [taylor]: Taking taylor expansion of p in p
2.418 * [backup-simplify]: Simplify 0 into 0
2.418 * [backup-simplify]: Simplify 1 into 1
2.418 * [backup-simplify]: Simplify (* 1 1) into 1
2.418 * [backup-simplify]: Simplify (/ 1 1) into 1
2.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
2.418 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.418 * [taylor]: Taking taylor expansion of x in p
2.418 * [backup-simplify]: Simplify x into x
2.418 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.419 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.419 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
2.419 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
2.420 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
2.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.421 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
2.421 * [backup-simplify]: Simplify (+ 0 0) into 0
2.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
2.422 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.422 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.422 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
2.422 * [taylor]: Taking taylor expansion of 4.0 in x
2.422 * [backup-simplify]: Simplify 4.0 into 4.0
2.422 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.422 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.422 * [taylor]: Taking taylor expansion of p in x
2.422 * [backup-simplify]: Simplify p into p
2.422 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.422 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.422 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.422 * [taylor]: Taking taylor expansion of x in x
2.422 * [backup-simplify]: Simplify 0 into 0
2.422 * [backup-simplify]: Simplify 1 into 1
2.422 * [backup-simplify]: Simplify (* 1 1) into 1
2.423 * [backup-simplify]: Simplify (/ 1 1) into 1
2.423 * [backup-simplify]: Simplify (+ 0 1) into 1
2.423 * [backup-simplify]: Simplify (sqrt 1) into 1
2.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.424 * [backup-simplify]: Simplify (+ 0 0) into 0
2.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.425 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.425 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.425 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
2.425 * [taylor]: Taking taylor expansion of 4.0 in x
2.425 * [backup-simplify]: Simplify 4.0 into 4.0
2.425 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.425 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.425 * [taylor]: Taking taylor expansion of p in x
2.425 * [backup-simplify]: Simplify p into p
2.425 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.425 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.425 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.425 * [taylor]: Taking taylor expansion of x in x
2.425 * [backup-simplify]: Simplify 0 into 0
2.425 * [backup-simplify]: Simplify 1 into 1
2.425 * [backup-simplify]: Simplify (* 1 1) into 1
2.425 * [backup-simplify]: Simplify (/ 1 1) into 1
2.426 * [backup-simplify]: Simplify (+ 0 1) into 1
2.426 * [backup-simplify]: Simplify (sqrt 1) into 1
2.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.427 * [backup-simplify]: Simplify (+ 0 0) into 0
2.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.427 * [taylor]: Taking taylor expansion of 1 in p
2.428 * [backup-simplify]: Simplify 1 into 1
2.428 * [taylor]: Taking taylor expansion of 0 in p
2.428 * [backup-simplify]: Simplify 0 into 0
2.428 * [backup-simplify]: Simplify 1 into 1
2.428 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
2.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.429 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
2.430 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow p 2))
2.430 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p
2.430 * [taylor]: Taking taylor expansion of 2.0 in p
2.430 * [backup-simplify]: Simplify 2.0 into 2.0
2.430 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.430 * [taylor]: Taking taylor expansion of p in p
2.430 * [backup-simplify]: Simplify 0 into 0
2.430 * [backup-simplify]: Simplify 1 into 1
2.430 * [backup-simplify]: Simplify (* 1 1) into 1
2.430 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
2.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
2.431 * [backup-simplify]: Simplify 0 into 0
2.431 * [backup-simplify]: Simplify 0 into 0
2.431 * [backup-simplify]: Simplify 0 into 0
2.431 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
2.432 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
2.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.433 * [backup-simplify]: Simplify (+ 0 0) into 0
2.434 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow p 2)))))) (* 2 1)) into 0
2.434 * [taylor]: Taking taylor expansion of 0 in p
2.434 * [backup-simplify]: Simplify 0 into 0
2.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.435 * [backup-simplify]: Simplify 0 into 0
2.435 * [backup-simplify]: Simplify 0 into 0
2.435 * [backup-simplify]: Simplify 0 into 0
2.435 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.435 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2 1 2)
2.435 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* 4.0 p)))) into (sqrt (+ (pow x 2) (* 4.0 (pow p 2))))
2.435 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (x p) around 0
2.435 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p
2.435 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p
2.435 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.435 * [taylor]: Taking taylor expansion of x in p
2.435 * [backup-simplify]: Simplify x into x
2.435 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p
2.435 * [taylor]: Taking taylor expansion of 4.0 in p
2.435 * [backup-simplify]: Simplify 4.0 into 4.0
2.435 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.436 * [taylor]: Taking taylor expansion of p in p
2.436 * [backup-simplify]: Simplify 0 into 0
2.436 * [backup-simplify]: Simplify 1 into 1
2.436 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.436 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.436 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.436 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.436 * [backup-simplify]: Simplify (+ 0 0) into 0
2.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.436 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
2.436 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
2.436 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.436 * [taylor]: Taking taylor expansion of x in x
2.436 * [backup-simplify]: Simplify 0 into 0
2.436 * [backup-simplify]: Simplify 1 into 1
2.436 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
2.436 * [taylor]: Taking taylor expansion of 4.0 in x
2.436 * [backup-simplify]: Simplify 4.0 into 4.0
2.436 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.436 * [taylor]: Taking taylor expansion of p in x
2.436 * [backup-simplify]: Simplify p into p
2.436 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.436 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
2.437 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
2.437 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
2.437 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.437 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
2.437 * [backup-simplify]: Simplify (+ 0 0) into 0
2.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
2.438 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
2.438 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
2.438 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.438 * [taylor]: Taking taylor expansion of x in x
2.438 * [backup-simplify]: Simplify 0 into 0
2.438 * [backup-simplify]: Simplify 1 into 1
2.438 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
2.438 * [taylor]: Taking taylor expansion of 4.0 in x
2.438 * [backup-simplify]: Simplify 4.0 into 4.0
2.438 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.438 * [taylor]: Taking taylor expansion of p in x
2.438 * [backup-simplify]: Simplify p into p
2.438 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.438 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
2.438 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
2.438 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
2.438 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.438 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
2.439 * [backup-simplify]: Simplify (+ 0 0) into 0
2.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
2.439 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p
2.439 * [taylor]: Taking taylor expansion of p in p
2.439 * [backup-simplify]: Simplify 0 into 0
2.439 * [backup-simplify]: Simplify 1 into 1
2.439 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p
2.439 * [taylor]: Taking taylor expansion of 4.0 in p
2.439 * [backup-simplify]: Simplify 4.0 into 4.0
2.439 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
2.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
2.440 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
2.440 * [backup-simplify]: Simplify 0 into 0
2.440 * [taylor]: Taking taylor expansion of 0 in p
2.440 * [backup-simplify]: Simplify 0 into 0
2.440 * [backup-simplify]: Simplify 0 into 0
2.442 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
2.442 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
2.442 * [backup-simplify]: Simplify (* 1 1) into 1
2.442 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
2.443 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
2.443 * [backup-simplify]: Simplify (+ 1 0) into 1
2.444 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* p (sqrt 4.0)))) into (/ 1/2 (* p (sqrt 4.0)))
2.444 * [taylor]: Taking taylor expansion of (/ 1/2 (* p (sqrt 4.0))) in p
2.444 * [taylor]: Taking taylor expansion of 1/2 in p
2.444 * [backup-simplify]: Simplify 1/2 into 1/2
2.444 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p
2.444 * [taylor]: Taking taylor expansion of p in p
2.444 * [backup-simplify]: Simplify 0 into 0
2.444 * [backup-simplify]: Simplify 1 into 1
2.444 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p
2.444 * [taylor]: Taking taylor expansion of 4.0 in p
2.444 * [backup-simplify]: Simplify 4.0 into 4.0
2.445 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
2.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
2.445 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
2.447 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
2.447 * [backup-simplify]: Simplify (/ 1/2 (sqrt 4.0)) into (/ 1/2 (sqrt 4.0))
2.448 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
2.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
2.449 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))))) into 0
2.449 * [backup-simplify]: Simplify 0 into 0
2.449 * [backup-simplify]: Simplify 0 into 0
2.450 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
2.450 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
2.450 * [backup-simplify]: Simplify 0 into 0
2.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.451 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
2.452 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
2.452 * [backup-simplify]: Simplify (+ 0 0) into 0
2.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* p (sqrt 4.0))))))) (* 2 (* p (sqrt 4.0)))) into 0
2.453 * [taylor]: Taking taylor expansion of 0 in p
2.453 * [backup-simplify]: Simplify 0 into 0
2.453 * [backup-simplify]: Simplify 0 into 0
2.454 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4.0))) into 0
2.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 4.0))))) into 0
2.455 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))) (* 0 (/ 0 (sqrt 4.0))))) into 0
2.455 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify 0 into 0
2.456 * [backup-simplify]: Simplify (* (sqrt 4.0) (* p 1)) into (* p (sqrt 4.0))
2.456 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4.0 (/ 1 p))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
2.456 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
2.456 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
2.456 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
2.456 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
2.456 * [taylor]: Taking taylor expansion of 4.0 in p
2.456 * [backup-simplify]: Simplify 4.0 into 4.0
2.456 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
2.456 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.456 * [taylor]: Taking taylor expansion of p in p
2.456 * [backup-simplify]: Simplify 0 into 0
2.456 * [backup-simplify]: Simplify 1 into 1
2.456 * [backup-simplify]: Simplify (* 1 1) into 1
2.456 * [backup-simplify]: Simplify (/ 1 1) into 1
2.457 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
2.457 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.457 * [taylor]: Taking taylor expansion of x in p
2.457 * [backup-simplify]: Simplify x into x
2.457 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.457 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.457 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
2.457 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
2.458 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
2.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.460 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
2.460 * [backup-simplify]: Simplify (+ 0 0) into 0
2.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
2.461 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.461 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.461 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
2.461 * [taylor]: Taking taylor expansion of 4.0 in x
2.461 * [backup-simplify]: Simplify 4.0 into 4.0
2.461 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.461 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.461 * [taylor]: Taking taylor expansion of p in x
2.461 * [backup-simplify]: Simplify p into p
2.461 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.461 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.462 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.462 * [taylor]: Taking taylor expansion of x in x
2.462 * [backup-simplify]: Simplify 0 into 0
2.462 * [backup-simplify]: Simplify 1 into 1
2.462 * [backup-simplify]: Simplify (* 1 1) into 1
2.463 * [backup-simplify]: Simplify (/ 1 1) into 1
2.463 * [backup-simplify]: Simplify (+ 0 1) into 1
2.463 * [backup-simplify]: Simplify (sqrt 1) into 1
2.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.465 * [backup-simplify]: Simplify (+ 0 0) into 0
2.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.466 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.466 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.466 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
2.466 * [taylor]: Taking taylor expansion of 4.0 in x
2.466 * [backup-simplify]: Simplify 4.0 into 4.0
2.466 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.466 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.466 * [taylor]: Taking taylor expansion of p in x
2.466 * [backup-simplify]: Simplify p into p
2.466 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.467 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.467 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.467 * [taylor]: Taking taylor expansion of x in x
2.467 * [backup-simplify]: Simplify 0 into 0
2.467 * [backup-simplify]: Simplify 1 into 1
2.467 * [backup-simplify]: Simplify (* 1 1) into 1
2.467 * [backup-simplify]: Simplify (/ 1 1) into 1
2.468 * [backup-simplify]: Simplify (+ 0 1) into 1
2.468 * [backup-simplify]: Simplify (sqrt 1) into 1
2.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.470 * [backup-simplify]: Simplify (+ 0 0) into 0
2.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.471 * [taylor]: Taking taylor expansion of 1 in p
2.471 * [backup-simplify]: Simplify 1 into 1
2.471 * [taylor]: Taking taylor expansion of 0 in p
2.471 * [backup-simplify]: Simplify 0 into 0
2.471 * [backup-simplify]: Simplify 1 into 1
2.471 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
2.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.473 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
2.475 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow p 2))
2.475 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p
2.475 * [taylor]: Taking taylor expansion of 2.0 in p
2.475 * [backup-simplify]: Simplify 2.0 into 2.0
2.475 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.475 * [taylor]: Taking taylor expansion of p in p
2.475 * [backup-simplify]: Simplify 0 into 0
2.475 * [backup-simplify]: Simplify 1 into 1
2.475 * [backup-simplify]: Simplify (* 1 1) into 1
2.476 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
2.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
2.479 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
2.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.481 * [backup-simplify]: Simplify (+ 0 0) into 0
2.482 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow p 2)))))) (* 2 1)) into 0
2.482 * [taylor]: Taking taylor expansion of 0 in p
2.482 * [backup-simplify]: Simplify 0 into 0
2.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.484 * [backup-simplify]: Simplify 0 into 0
2.484 * [backup-simplify]: Simplify 0 into 0
2.484 * [backup-simplify]: Simplify 0 into 0
2.484 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.484 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4.0 (/ 1 (- p)))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
2.484 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
2.484 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
2.485 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
2.485 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
2.485 * [taylor]: Taking taylor expansion of 4.0 in p
2.485 * [backup-simplify]: Simplify 4.0 into 4.0
2.485 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
2.485 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.485 * [taylor]: Taking taylor expansion of p in p
2.485 * [backup-simplify]: Simplify 0 into 0
2.485 * [backup-simplify]: Simplify 1 into 1
2.485 * [backup-simplify]: Simplify (* 1 1) into 1
2.485 * [backup-simplify]: Simplify (/ 1 1) into 1
2.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
2.486 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.486 * [taylor]: Taking taylor expansion of x in p
2.486 * [backup-simplify]: Simplify x into x
2.486 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.486 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.486 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
2.487 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
2.487 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
2.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.489 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
2.490 * [backup-simplify]: Simplify (+ 0 0) into 0
2.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
2.490 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.491 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.491 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
2.491 * [taylor]: Taking taylor expansion of 4.0 in x
2.491 * [backup-simplify]: Simplify 4.0 into 4.0
2.491 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.491 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.491 * [taylor]: Taking taylor expansion of p in x
2.491 * [backup-simplify]: Simplify p into p
2.491 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.491 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.491 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.491 * [taylor]: Taking taylor expansion of x in x
2.491 * [backup-simplify]: Simplify 0 into 0
2.491 * [backup-simplify]: Simplify 1 into 1
2.492 * [backup-simplify]: Simplify (* 1 1) into 1
2.492 * [backup-simplify]: Simplify (/ 1 1) into 1
2.492 * [backup-simplify]: Simplify (+ 0 1) into 1
2.493 * [backup-simplify]: Simplify (sqrt 1) into 1
2.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.495 * [backup-simplify]: Simplify (+ 0 0) into 0
2.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.495 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.495 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.495 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
2.495 * [taylor]: Taking taylor expansion of 4.0 in x
2.495 * [backup-simplify]: Simplify 4.0 into 4.0
2.496 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.496 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.496 * [taylor]: Taking taylor expansion of p in x
2.496 * [backup-simplify]: Simplify p into p
2.496 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.496 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.496 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.496 * [taylor]: Taking taylor expansion of x in x
2.496 * [backup-simplify]: Simplify 0 into 0
2.496 * [backup-simplify]: Simplify 1 into 1
2.496 * [backup-simplify]: Simplify (* 1 1) into 1
2.502 * [backup-simplify]: Simplify (/ 1 1) into 1
2.502 * [backup-simplify]: Simplify (+ 0 1) into 1
2.503 * [backup-simplify]: Simplify (sqrt 1) into 1
2.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.505 * [backup-simplify]: Simplify (+ 0 0) into 0
2.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.506 * [taylor]: Taking taylor expansion of 1 in p
2.506 * [backup-simplify]: Simplify 1 into 1
2.506 * [taylor]: Taking taylor expansion of 0 in p
2.506 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify 1 into 1
2.506 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
2.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.508 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
2.509 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow p 2))
2.509 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p
2.509 * [taylor]: Taking taylor expansion of 2.0 in p
2.509 * [backup-simplify]: Simplify 2.0 into 2.0
2.509 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.509 * [taylor]: Taking taylor expansion of p in p
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify 1 into 1
2.510 * [backup-simplify]: Simplify (* 1 1) into 1
2.510 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
2.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
2.512 * [backup-simplify]: Simplify 0 into 0
2.512 * [backup-simplify]: Simplify 0 into 0
2.512 * [backup-simplify]: Simplify 0 into 0
2.512 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
2.513 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
2.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.515 * [backup-simplify]: Simplify (+ 0 0) into 0
2.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow p 2)))))) (* 2 1)) into 0
2.515 * [taylor]: Taking taylor expansion of 0 in p
2.515 * [backup-simplify]: Simplify 0 into 0
2.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.516 * [backup-simplify]: Simplify 0 into 0
2.517 * [backup-simplify]: Simplify 0 into 0
2.517 * [backup-simplify]: Simplify 0 into 0
2.517 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.517 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 2)
2.517 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* p (* 4.0 p)))) into (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow p 2))))
2.517 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow p 2)))) in (x p) around 0
2.517 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow p 2)))) in p
2.517 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.517 * [taylor]: Taking taylor expansion of x in p
2.517 * [backup-simplify]: Simplify x into x
2.517 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p
2.517 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.517 * [taylor]: Taking taylor expansion of x in p
2.517 * [backup-simplify]: Simplify x into x
2.517 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p
2.517 * [taylor]: Taking taylor expansion of 4.0 in p
2.517 * [backup-simplify]: Simplify 4.0 into 4.0
2.517 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.517 * [taylor]: Taking taylor expansion of p in p
2.517 * [backup-simplify]: Simplify 0 into 0
2.517 * [backup-simplify]: Simplify 1 into 1
2.517 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.517 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.517 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.517 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
2.517 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow p 2)))) in x
2.518 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.518 * [taylor]: Taking taylor expansion of x in x
2.518 * [backup-simplify]: Simplify 0 into 0
2.518 * [backup-simplify]: Simplify 1 into 1
2.518 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
2.518 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.518 * [taylor]: Taking taylor expansion of x in x
2.518 * [backup-simplify]: Simplify 0 into 0
2.518 * [backup-simplify]: Simplify 1 into 1
2.518 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
2.518 * [taylor]: Taking taylor expansion of 4.0 in x
2.518 * [backup-simplify]: Simplify 4.0 into 4.0
2.518 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.518 * [taylor]: Taking taylor expansion of p in x
2.518 * [backup-simplify]: Simplify p into p
2.518 * [backup-simplify]: Simplify (* 1 1) into 1
2.518 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.518 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
2.518 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
2.519 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow p 2))) into (/ 0.25 (pow p 2))
2.519 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow p 2)))) in x
2.519 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.519 * [taylor]: Taking taylor expansion of x in x
2.519 * [backup-simplify]: Simplify 0 into 0
2.519 * [backup-simplify]: Simplify 1 into 1
2.519 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
2.519 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.519 * [taylor]: Taking taylor expansion of x in x
2.519 * [backup-simplify]: Simplify 0 into 0
2.519 * [backup-simplify]: Simplify 1 into 1
2.519 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
2.519 * [taylor]: Taking taylor expansion of 4.0 in x
2.519 * [backup-simplify]: Simplify 4.0 into 4.0
2.519 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.519 * [taylor]: Taking taylor expansion of p in x
2.519 * [backup-simplify]: Simplify p into p
2.519 * [backup-simplify]: Simplify (* 1 1) into 1
2.519 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.520 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
2.520 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
2.520 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow p 2))) into (/ 0.25 (pow p 2))
2.520 * [taylor]: Taking taylor expansion of (/ 0.25 (pow p 2)) in p
2.520 * [taylor]: Taking taylor expansion of 0.25 in p
2.520 * [backup-simplify]: Simplify 0.25 into 0.25
2.520 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.520 * [taylor]: Taking taylor expansion of p in p
2.520 * [backup-simplify]: Simplify 0 into 0
2.520 * [backup-simplify]: Simplify 1 into 1
2.520 * [backup-simplify]: Simplify (* 1 1) into 1
2.521 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25
2.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)))) into 0
2.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.523 * [backup-simplify]: Simplify 0 into 0
2.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.523 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.524 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
2.524 * [backup-simplify]: Simplify (+ 0 0) into 0
2.524 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow p 2))) (+ (* (/ 0.25 (pow p 2)) (/ 0 (* 4.0 (pow p 2)))))) into 0
2.524 * [taylor]: Taking taylor expansion of 0 in p
2.524 * [backup-simplify]: Simplify 0 into 0
2.524 * [backup-simplify]: Simplify 0 into 0
2.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.525 * [backup-simplify]: Simplify 0 into 0
2.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.526 * [backup-simplify]: Simplify (* 1 1) into 1
2.527 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
2.527 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
2.527 * [backup-simplify]: Simplify (+ 1 0) into 1
2.528 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow p 2))) (+ (* (/ 0.25 (pow p 2)) (/ 1 (* 4.0 (pow p 2)))) (* 0 (/ 0 (* 4.0 (pow p 2)))))) into (- (* 0.0625 (/ 1 (pow p 4))))
2.528 * [taylor]: Taking taylor expansion of (- (* 0.0625 (/ 1 (pow p 4)))) in p
2.528 * [taylor]: Taking taylor expansion of (* 0.0625 (/ 1 (pow p 4))) in p
2.528 * [taylor]: Taking taylor expansion of 0.0625 in p
2.528 * [backup-simplify]: Simplify 0.0625 into 0.0625
2.528 * [taylor]: Taking taylor expansion of (/ 1 (pow p 4)) in p
2.528 * [taylor]: Taking taylor expansion of (pow p 4) in p
2.528 * [taylor]: Taking taylor expansion of p in p
2.528 * [backup-simplify]: Simplify 0 into 0
2.528 * [backup-simplify]: Simplify 1 into 1
2.528 * [backup-simplify]: Simplify (* 1 1) into 1
2.529 * [backup-simplify]: Simplify (* 1 1) into 1
2.529 * [backup-simplify]: Simplify (/ 1 1) into 1
2.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.536 * [backup-simplify]: Simplify (+ (* 0.0625 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.536 * [backup-simplify]: Simplify (- 0) into 0
2.536 * [backup-simplify]: Simplify 0 into 0
2.536 * [backup-simplify]: Simplify 0 into 0
2.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.538 * [backup-simplify]: Simplify 0 into 0
2.538 * [backup-simplify]: Simplify 0 into 0
2.538 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4.0 (/ 1 p))))) into (/ 1 (* (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) (pow x 2)))
2.538 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) (pow x 2))) in (x p) around 0
2.538 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) (pow x 2))) in p
2.538 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) (pow x 2)) in p
2.538 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
2.538 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
2.538 * [taylor]: Taking taylor expansion of 4.0 in p
2.538 * [backup-simplify]: Simplify 4.0 into 4.0
2.538 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
2.538 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.538 * [taylor]: Taking taylor expansion of p in p
2.538 * [backup-simplify]: Simplify 0 into 0
2.538 * [backup-simplify]: Simplify 1 into 1
2.538 * [backup-simplify]: Simplify (* 1 1) into 1
2.539 * [backup-simplify]: Simplify (/ 1 1) into 1
2.539 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
2.539 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.539 * [taylor]: Taking taylor expansion of x in p
2.539 * [backup-simplify]: Simplify x into x
2.539 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.539 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.539 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.539 * [taylor]: Taking taylor expansion of x in p
2.539 * [backup-simplify]: Simplify x into x
2.539 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
2.540 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
2.540 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.540 * [backup-simplify]: Simplify (* 4.0 (pow x 2)) into (* 4.0 (pow x 2))
2.540 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2))
2.540 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) (pow x 2))) in x
2.540 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) (pow x 2)) in x
2.540 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.540 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
2.540 * [taylor]: Taking taylor expansion of 4.0 in x
2.540 * [backup-simplify]: Simplify 4.0 into 4.0
2.540 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.540 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.540 * [taylor]: Taking taylor expansion of p in x
2.540 * [backup-simplify]: Simplify p into p
2.540 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.540 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.540 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.540 * [taylor]: Taking taylor expansion of x in x
2.540 * [backup-simplify]: Simplify 0 into 0
2.540 * [backup-simplify]: Simplify 1 into 1
2.540 * [backup-simplify]: Simplify (* 1 1) into 1
2.541 * [backup-simplify]: Simplify (/ 1 1) into 1
2.541 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.541 * [taylor]: Taking taylor expansion of x in x
2.541 * [backup-simplify]: Simplify 0 into 0
2.541 * [backup-simplify]: Simplify 1 into 1
2.541 * [backup-simplify]: Simplify (+ 0 1) into 1
2.541 * [backup-simplify]: Simplify (* 1 1) into 1
2.541 * [backup-simplify]: Simplify (* 1 1) into 1
2.542 * [backup-simplify]: Simplify (/ 1 1) into 1
2.542 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) (pow x 2))) in x
2.542 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) (pow x 2)) in x
2.542 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.542 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
2.542 * [taylor]: Taking taylor expansion of 4.0 in x
2.542 * [backup-simplify]: Simplify 4.0 into 4.0
2.542 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.542 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.542 * [taylor]: Taking taylor expansion of p in x
2.542 * [backup-simplify]: Simplify p into p
2.542 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.542 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.542 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.542 * [taylor]: Taking taylor expansion of x in x
2.542 * [backup-simplify]: Simplify 0 into 0
2.542 * [backup-simplify]: Simplify 1 into 1
2.542 * [backup-simplify]: Simplify (* 1 1) into 1
2.543 * [backup-simplify]: Simplify (/ 1 1) into 1
2.543 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.543 * [taylor]: Taking taylor expansion of x in x
2.543 * [backup-simplify]: Simplify 0 into 0
2.543 * [backup-simplify]: Simplify 1 into 1
2.543 * [backup-simplify]: Simplify (+ 0 1) into 1
2.543 * [backup-simplify]: Simplify (* 1 1) into 1
2.543 * [backup-simplify]: Simplify (* 1 1) into 1
2.544 * [backup-simplify]: Simplify (/ 1 1) into 1
2.544 * [taylor]: Taking taylor expansion of 1 in p
2.544 * [backup-simplify]: Simplify 1 into 1
2.544 * [backup-simplify]: Simplify 0 into 0
2.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.545 * [backup-simplify]: Simplify (+ 0 0) into 0
2.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.546 * [taylor]: Taking taylor expansion of 0 in p
2.546 * [backup-simplify]: Simplify 0 into 0
2.546 * [backup-simplify]: Simplify 0 into 0
2.546 * [backup-simplify]: Simplify 0 into 0
2.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.547 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
2.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.548 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
2.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 4.0 (/ 1 (pow p 2))) 1))) into (* 4.0 (/ 1 (pow p 2)))
2.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow p 2))))
2.549 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow p 2)))) in p
2.549 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
2.549 * [taylor]: Taking taylor expansion of 4.0 in p
2.549 * [backup-simplify]: Simplify 4.0 into 4.0
2.549 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
2.549 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.549 * [taylor]: Taking taylor expansion of p in p
2.549 * [backup-simplify]: Simplify 0 into 0
2.549 * [backup-simplify]: Simplify 1 into 1
2.550 * [backup-simplify]: Simplify (* 1 1) into 1
2.550 * [backup-simplify]: Simplify (/ 1 1) into 1
2.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.555 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.555 * [backup-simplify]: Simplify (- 0) into 0
2.555 * [backup-simplify]: Simplify 0 into 0
2.555 * [backup-simplify]: Simplify 0 into 0
2.555 * [backup-simplify]: Simplify 0 into 0
2.555 * [backup-simplify]: Simplify 0 into 0
2.556 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4.0 (/ 1 (- p)))))) into (/ 1 (* (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) (pow x 2)))
2.556 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) (pow x 2))) in (x p) around 0
2.556 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) (pow x 2))) in p
2.556 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) (pow x 2)) in p
2.556 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
2.556 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
2.556 * [taylor]: Taking taylor expansion of 4.0 in p
2.556 * [backup-simplify]: Simplify 4.0 into 4.0
2.556 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
2.556 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.556 * [taylor]: Taking taylor expansion of p in p
2.556 * [backup-simplify]: Simplify 0 into 0
2.556 * [backup-simplify]: Simplify 1 into 1
2.556 * [backup-simplify]: Simplify (* 1 1) into 1
2.556 * [backup-simplify]: Simplify (/ 1 1) into 1
2.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
2.556 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.556 * [taylor]: Taking taylor expansion of x in p
2.556 * [backup-simplify]: Simplify x into x
2.556 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.556 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.556 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.556 * [taylor]: Taking taylor expansion of x in p
2.557 * [backup-simplify]: Simplify x into x
2.557 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
2.557 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
2.557 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.557 * [backup-simplify]: Simplify (* 4.0 (pow x 2)) into (* 4.0 (pow x 2))
2.557 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2))
2.557 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) (pow x 2))) in x
2.557 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) (pow x 2)) in x
2.557 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.557 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
2.557 * [taylor]: Taking taylor expansion of 4.0 in x
2.557 * [backup-simplify]: Simplify 4.0 into 4.0
2.557 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.557 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.557 * [taylor]: Taking taylor expansion of p in x
2.558 * [backup-simplify]: Simplify p into p
2.558 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.558 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.558 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.558 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.558 * [taylor]: Taking taylor expansion of x in x
2.558 * [backup-simplify]: Simplify 0 into 0
2.558 * [backup-simplify]: Simplify 1 into 1
2.558 * [backup-simplify]: Simplify (* 1 1) into 1
2.558 * [backup-simplify]: Simplify (/ 1 1) into 1
2.558 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.558 * [taylor]: Taking taylor expansion of x in x
2.558 * [backup-simplify]: Simplify 0 into 0
2.558 * [backup-simplify]: Simplify 1 into 1
2.559 * [backup-simplify]: Simplify (+ 0 1) into 1
2.559 * [backup-simplify]: Simplify (* 1 1) into 1
2.559 * [backup-simplify]: Simplify (* 1 1) into 1
2.559 * [backup-simplify]: Simplify (/ 1 1) into 1
2.559 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) (pow x 2))) in x
2.559 * [taylor]: Taking taylor expansion of (* (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) (pow x 2)) in x
2.559 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.559 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
2.559 * [taylor]: Taking taylor expansion of 4.0 in x
2.559 * [backup-simplify]: Simplify 4.0 into 4.0
2.559 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.559 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.559 * [taylor]: Taking taylor expansion of p in x
2.559 * [backup-simplify]: Simplify p into p
2.559 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.560 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.560 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.560 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.560 * [taylor]: Taking taylor expansion of x in x
2.560 * [backup-simplify]: Simplify 0 into 0
2.560 * [backup-simplify]: Simplify 1 into 1
2.560 * [backup-simplify]: Simplify (* 1 1) into 1
2.560 * [backup-simplify]: Simplify (/ 1 1) into 1
2.560 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.560 * [taylor]: Taking taylor expansion of x in x
2.560 * [backup-simplify]: Simplify 0 into 0
2.560 * [backup-simplify]: Simplify 1 into 1
2.560 * [backup-simplify]: Simplify (+ 0 1) into 1
2.561 * [backup-simplify]: Simplify (* 1 1) into 1
2.561 * [backup-simplify]: Simplify (* 1 1) into 1
2.561 * [backup-simplify]: Simplify (/ 1 1) into 1
2.561 * [taylor]: Taking taylor expansion of 1 in p
2.561 * [backup-simplify]: Simplify 1 into 1
2.561 * [backup-simplify]: Simplify 0 into 0
2.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.563 * [backup-simplify]: Simplify (+ 0 0) into 0
2.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.564 * [taylor]: Taking taylor expansion of 0 in p
2.564 * [backup-simplify]: Simplify 0 into 0
2.564 * [backup-simplify]: Simplify 0 into 0
2.564 * [backup-simplify]: Simplify 0 into 0
2.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.564 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
2.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.566 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
2.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 4.0 (/ 1 (pow p 2))) 1))) into (* 4.0 (/ 1 (pow p 2)))
2.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow p 2))))
2.568 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow p 2)))) in p
2.568 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
2.568 * [taylor]: Taking taylor expansion of 4.0 in p
2.568 * [backup-simplify]: Simplify 4.0 into 4.0
2.568 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
2.568 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.568 * [taylor]: Taking taylor expansion of p in p
2.568 * [backup-simplify]: Simplify 0 into 0
2.568 * [backup-simplify]: Simplify 1 into 1
2.568 * [backup-simplify]: Simplify (* 1 1) into 1
2.569 * [backup-simplify]: Simplify (/ 1 1) into 1
2.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.577 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.578 * [backup-simplify]: Simplify (- 0) into 0
2.578 * [backup-simplify]: Simplify 0 into 0
2.578 * [backup-simplify]: Simplify 0 into 0
2.578 * [backup-simplify]: Simplify 0 into 0
2.578 * [backup-simplify]: Simplify 0 into 0
2.578 * * * [progress]: simplifying candidates
2.580 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (exp (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (cbrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (* (sqrt (+ (* x x) (* p (* 4.0 p)))) (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p))))))
  (sqrt (cbrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt 1)
  (sqrt (+ (* x x) (* p (* 4.0 p))))
  (sqrt (+ (pow (* x x) 3) (pow (* p (* 4.0 p)) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4.0 p)) (* p (* 4.0 p))) (* (* x x) (* p (* 4.0 p))))))
  (sqrt (- (* (* x x) (* x x)) (* (* p (* 4.0 p)) (* p (* 4.0 p)))))
  (sqrt (- (* x x) (* p (* 4.0 p))))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (log (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (exp (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (cbrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (* (sqrt (+ (* x x) (* p (* 4.0 p)))) (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p))))))
  (sqrt (cbrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt 1)
  (sqrt (+ (* x x) (* p (* 4.0 p))))
  (sqrt (+ (pow (* x x) 3) (pow (* p (* 4.0 p)) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4.0 p)) (* p (* 4.0 p))) (* (* x x) (* p (* 4.0 p))))))
  (sqrt (- (* (* x x) (* x x)) (* (* p (* 4.0 p)) (* p (* 4.0 p)))))
  (sqrt (- (* x x) (* p (* 4.0 p))))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (log (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (exp (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (cbrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (* (sqrt (+ (* x x) (* p (* 4.0 p)))) (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p))))))
  (sqrt (cbrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt 1)
  (sqrt (+ (* x x) (* p (* 4.0 p))))
  (sqrt (+ (pow (* x x) 3) (pow (* p (* 4.0 p)) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4.0 p)) (* p (* 4.0 p))) (* (* x x) (* p (* 4.0 p))))))
  (sqrt (- (* (* x x) (* x x)) (* (* p (* 4.0 p)) (* p (* 4.0 p)))))
  (sqrt (- (* x x) (* p (* 4.0 p))))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (- (+ (log x) (log x)) (log (+ (* x x) (* p (* 4.0 p)))))
  (- (log (* x x)) (log (+ (* x x) (* p (* 4.0 p)))))
  (log (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))
  (exp (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))
  (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* p (* 4.0 p))) (+ (* x x) (* p (* 4.0 p)))) (+ (* x x) (* p (* 4.0 p)))))
  (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* p (* 4.0 p))) (+ (* x x) (* p (* 4.0 p)))) (+ (* x x) (* p (* 4.0 p)))))
  (* (cbrt (/ (* x x) (+ (* x x) (* p (* 4.0 p))))) (cbrt (/ (* x x) (+ (* x x) (* p (* 4.0 p))))))
  (cbrt (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))
  (* (* (/ (* x x) (+ (* x x) (* p (* 4.0 p)))) (/ (* x x) (+ (* x x) (* p (* 4.0 p))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))
  (- (* x x))
  (- (+ (* x x) (* p (* 4.0 p))))
  (/ x (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p))))))
  (/ x (cbrt (+ (* x x) (* p (* 4.0 p)))))
  (/ x (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (/ x (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (/ x 1)
  (/ x (+ (* x x) (* p (* 4.0 p))))
  (/ 1 (+ (* x x) (* p (* 4.0 p))))
  (/ (+ (* x x) (* p (* 4.0 p))) (* x x))
  (/ (* x x) (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p))))))
  (/ (* x x) (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (/ (* x x) 1)
  (/ (+ (* x x) (* p (* 4.0 p))) x)
  (/ (* x x) (+ (pow (* x x) 3) (pow (* p (* 4.0 p)) 3)))
  (/ (* x x) (- (* (* x x) (* x x)) (* (* p (* 4.0 p)) (* p (* 4.0 p)))))
  (* p (sqrt 4.0))
  x
  (* -1 x)
  (* p (sqrt 4.0))
  x
  (* -1 x)
  (* p (sqrt 4.0))
  x
  (* -1 x)
  0
  0
  0
2.582 * * [simplify]: iteration 0: 79 enodes
2.598 * * [simplify]: iteration 1: 228 enodes
2.688 * * [simplify]: iteration 2: 1604 enodes
3.838 * * [simplify]: iteration complete: 5001 enodes
3.838 * * [simplify]: Extracting #0: cost 40 inf + 0
3.838 * * [simplify]: Extracting #1: cost 241 inf + 45
3.843 * * [simplify]: Extracting #2: cost 1919 inf + 1696
3.851 * * [simplify]: Extracting #3: cost 2038 inf + 13821
3.861 * * [simplify]: Extracting #4: cost 1988 inf + 21910
3.894 * * [simplify]: Extracting #5: cost 1216 inf + 213399
3.973 * * [simplify]: Extracting #6: cost 203 inf + 510426
4.080 * * [simplify]: Extracting #7: cost 0 inf + 574574
4.186 * [simplify]: Simplified to:
  (log (sqrt (+ (* (* p 4.0) p) (* x x))))
  (exp (sqrt (+ (* (* p 4.0) p) (* x x))))
  (* (cbrt (sqrt (+ (* (* p 4.0) p) (* x x)))) (cbrt (sqrt (+ (* (* p 4.0) p) (* x x)))))
  (cbrt (sqrt (+ (* (* p 4.0) p) (* x x))))
  (* (+ (* (* p 4.0) p) (* x x)) (sqrt (+ (* (* p 4.0) p) (* x x))))
  (fabs (cbrt (+ (* (* p 4.0) p) (* x x))))
  (sqrt (cbrt (+ (* (* p 4.0) p) (* x x))))
  (sqrt (sqrt (+ (* (* p 4.0) p) (* x x))))
  (sqrt (sqrt (+ (* (* p 4.0) p) (* x x))))
  1
  (sqrt (+ (* (* p 4.0) p) (* x x)))
  (sqrt (+ (* (* (* (* p 4.0) p) (* (* p 4.0) p)) (* (* p 4.0) p)) (* (* x (* x x)) (* x (* x x)))))
  (sqrt (+ (* (- (* (* p 4.0) p) (* x x)) (* (* p 4.0) p)) (* (* x x) (* x x))))
  (sqrt (* (+ (* (* p 4.0) p) (* x x)) (- (* x x) (* (* p 4.0) p))))
  (sqrt (- (* x x) (* (* p 4.0) p)))
  1/2
  (sqrt (sqrt (+ (* (* p 4.0) p) (* x x))))
  (sqrt (sqrt (+ (* (* p 4.0) p) (* x x))))
  (log (sqrt (+ (* (* p 4.0) p) (* x x))))
  (exp (sqrt (+ (* (* p 4.0) p) (* x x))))
  (* (cbrt (sqrt (+ (* (* p 4.0) p) (* x x)))) (cbrt (sqrt (+ (* (* p 4.0) p) (* x x)))))
  (cbrt (sqrt (+ (* (* p 4.0) p) (* x x))))
  (* (+ (* (* p 4.0) p) (* x x)) (sqrt (+ (* (* p 4.0) p) (* x x))))
  (fabs (cbrt (+ (* (* p 4.0) p) (* x x))))
  (sqrt (cbrt (+ (* (* p 4.0) p) (* x x))))
  (sqrt (sqrt (+ (* (* p 4.0) p) (* x x))))
  (sqrt (sqrt (+ (* (* p 4.0) p) (* x x))))
  1
  (sqrt (+ (* (* p 4.0) p) (* x x)))
  (sqrt (+ (* (* (* (* p 4.0) p) (* (* p 4.0) p)) (* (* p 4.0) p)) (* (* x (* x x)) (* x (* x x)))))
  (sqrt (+ (* (- (* (* p 4.0) p) (* x x)) (* (* p 4.0) p)) (* (* x x) (* x x))))
  (sqrt (* (+ (* (* p 4.0) p) (* x x)) (- (* x x) (* (* p 4.0) p))))
  (sqrt (- (* x x) (* (* p 4.0) p)))
  1/2
  (sqrt (sqrt (+ (* (* p 4.0) p) (* x x))))
  (sqrt (sqrt (+ (* (* p 4.0) p) (* x x))))
  (log (sqrt (+ (* (* p 4.0) p) (* x x))))
  (exp (sqrt (+ (* (* p 4.0) p) (* x x))))
  (* (cbrt (sqrt (+ (* (* p 4.0) p) (* x x)))) (cbrt (sqrt (+ (* (* p 4.0) p) (* x x)))))
  (cbrt (sqrt (+ (* (* p 4.0) p) (* x x))))
  (* (+ (* (* p 4.0) p) (* x x)) (sqrt (+ (* (* p 4.0) p) (* x x))))
  (fabs (cbrt (+ (* (* p 4.0) p) (* x x))))
  (sqrt (cbrt (+ (* (* p 4.0) p) (* x x))))
  (sqrt (sqrt (+ (* (* p 4.0) p) (* x x))))
  (sqrt (sqrt (+ (* (* p 4.0) p) (* x x))))
  1
  (sqrt (+ (* (* p 4.0) p) (* x x)))
  (sqrt (+ (* (* (* (* p 4.0) p) (* (* p 4.0) p)) (* (* p 4.0) p)) (* (* x (* x x)) (* x (* x x)))))
  (sqrt (+ (* (- (* (* p 4.0) p) (* x x)) (* (* p 4.0) p)) (* (* x x) (* x x))))
  (sqrt (* (+ (* (* p 4.0) p) (* x x)) (- (* x x) (* (* p 4.0) p))))
  (sqrt (- (* x x) (* (* p 4.0) p)))
  1/2
  (sqrt (sqrt (+ (* (* p 4.0) p) (* x x))))
  (sqrt (sqrt (+ (* (* p 4.0) p) (* x x))))
  (log (/ (* x x) (+ (* (* p 4.0) p) (* x x))))
  (log (/ (* x x) (+ (* (* p 4.0) p) (* x x))))
  (log (/ (* x x) (+ (* (* p 4.0) p) (* x x))))
  (exp (/ (* x x) (+ (* (* p 4.0) p) (* x x))))
  (* (/ (* x x) (+ (* (* p 4.0) p) (* x x))) (* (/ (* x x) (+ (* (* p 4.0) p) (* x x))) (/ (* x x) (+ (* (* p 4.0) p) (* x x)))))
  (* (/ (* x x) (+ (* (* p 4.0) p) (* x x))) (* (/ (* x x) (+ (* (* p 4.0) p) (* x x))) (/ (* x x) (+ (* (* p 4.0) p) (* x x)))))
  (* (cbrt (/ (* x x) (+ (* (* p 4.0) p) (* x x)))) (cbrt (/ (* x x) (+ (* (* p 4.0) p) (* x x)))))
  (cbrt (/ (* x x) (+ (* (* p 4.0) p) (* x x))))
  (* (* (/ (* x x) (+ (* (* p 4.0) p) (* x x))) (/ (* x x) (+ (* (* p 4.0) p) (* x x)))) (/ (* x x) (+ (* (* p 4.0) p) (* x x))))
  (sqrt (/ (* x x) (+ (* (* p 4.0) p) (* x x))))
  (sqrt (/ (* x x) (+ (* (* p 4.0) p) (* x x))))
  (* (- x) x)
  (- (- (* x x)) (* (* p 4.0) p))
  (/ (/ x (cbrt (+ (* (* p 4.0) p) (* x x)))) (cbrt (+ (* (* p 4.0) p) (* x x))))
  (/ x (cbrt (+ (* (* p 4.0) p) (* x x))))
  (/ x (sqrt (+ (* (* p 4.0) p) (* x x))))
  (/ x (sqrt (+ (* (* p 4.0) p) (* x x))))
  x
  (/ x (+ (* (* p 4.0) p) (* x x)))
  (/ 1 (+ (* (* p 4.0) p) (* x x)))
  (/ (+ (* (* p 4.0) p) (* x x)) (* x x))
  (/ (/ (* x x) (cbrt (+ (* (* p 4.0) p) (* x x)))) (cbrt (+ (* (* p 4.0) p) (* x x))))
  (/ (* x x) (sqrt (+ (* (* p 4.0) p) (* x x))))
  (* x x)
  (/ (+ (* (* p 4.0) p) (* x x)) x)
  (/ (* x x) (+ (* (* (* (* p 4.0) p) (* (* p 4.0) p)) (* (* p 4.0) p)) (* (* x (* x x)) (* x (* x x)))))
  (/ (/ (* x x) (+ (* (* p 4.0) p) (* x x))) (- (* x x) (* (* p 4.0) p)))
  (* (sqrt 4.0) p)
  x
  (- x)
  (* (sqrt 4.0) p)
  x
  (- x)
  (* (sqrt 4.0) p)
  x
  (- x)
  0
  0
  0
4.203 * * * [progress]: adding candidates to table
4.678 * * [progress]: iteration 3 / 4
4.678 * * * [progress]: picking best candidate
4.753 * * * * [pick]: Picked  #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (exp (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))>
4.754 * * * [progress]: localizing error
4.831 * * * [progress]: generating rewritten candidates
4.831 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1 2 1 2)
4.837 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 1 2 1 1)
4.843 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2 1 2)
4.849 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1 1 2)
4.858 * * * [progress]: generating series expansions
4.858 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1 2 1 2)
4.858 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* 4.0 p)))) into (sqrt (+ (pow x 2) (* 4.0 (pow p 2))))
4.858 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (x p) around 0
4.858 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p
4.858 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p
4.858 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.858 * [taylor]: Taking taylor expansion of x in p
4.858 * [backup-simplify]: Simplify x into x
4.858 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p
4.858 * [taylor]: Taking taylor expansion of 4.0 in p
4.858 * [backup-simplify]: Simplify 4.0 into 4.0
4.858 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.858 * [taylor]: Taking taylor expansion of p in p
4.859 * [backup-simplify]: Simplify 0 into 0
4.859 * [backup-simplify]: Simplify 1 into 1
4.859 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.859 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.859 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.859 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.859 * [backup-simplify]: Simplify (+ 0 0) into 0
4.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.859 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
4.859 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
4.859 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.860 * [taylor]: Taking taylor expansion of x in x
4.860 * [backup-simplify]: Simplify 0 into 0
4.860 * [backup-simplify]: Simplify 1 into 1
4.860 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
4.860 * [taylor]: Taking taylor expansion of 4.0 in x
4.860 * [backup-simplify]: Simplify 4.0 into 4.0
4.860 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.860 * [taylor]: Taking taylor expansion of p in x
4.860 * [backup-simplify]: Simplify p into p
4.860 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.860 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
4.860 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
4.860 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
4.860 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
4.860 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
4.861 * [backup-simplify]: Simplify (+ 0 0) into 0
4.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
4.861 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
4.861 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
4.861 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.861 * [taylor]: Taking taylor expansion of x in x
4.861 * [backup-simplify]: Simplify 0 into 0
4.861 * [backup-simplify]: Simplify 1 into 1
4.861 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
4.861 * [taylor]: Taking taylor expansion of 4.0 in x
4.861 * [backup-simplify]: Simplify 4.0 into 4.0
4.861 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.861 * [taylor]: Taking taylor expansion of p in x
4.861 * [backup-simplify]: Simplify p into p
4.861 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.861 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
4.861 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
4.861 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
4.862 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
4.862 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
4.862 * [backup-simplify]: Simplify (+ 0 0) into 0
4.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
4.862 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p
4.862 * [taylor]: Taking taylor expansion of p in p
4.862 * [backup-simplify]: Simplify 0 into 0
4.862 * [backup-simplify]: Simplify 1 into 1
4.862 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p
4.862 * [taylor]: Taking taylor expansion of 4.0 in p
4.862 * [backup-simplify]: Simplify 4.0 into 4.0
4.863 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
4.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
4.863 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
4.864 * [backup-simplify]: Simplify 0 into 0
4.864 * [taylor]: Taking taylor expansion of 0 in p
4.864 * [backup-simplify]: Simplify 0 into 0
4.864 * [backup-simplify]: Simplify 0 into 0
4.865 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
4.865 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
4.865 * [backup-simplify]: Simplify (* 1 1) into 1
4.866 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
4.866 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
4.867 * [backup-simplify]: Simplify (+ 1 0) into 1
4.867 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* p (sqrt 4.0)))) into (/ 1/2 (* p (sqrt 4.0)))
4.867 * [taylor]: Taking taylor expansion of (/ 1/2 (* p (sqrt 4.0))) in p
4.867 * [taylor]: Taking taylor expansion of 1/2 in p
4.867 * [backup-simplify]: Simplify 1/2 into 1/2
4.867 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p
4.867 * [taylor]: Taking taylor expansion of p in p
4.867 * [backup-simplify]: Simplify 0 into 0
4.867 * [backup-simplify]: Simplify 1 into 1
4.868 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p
4.868 * [taylor]: Taking taylor expansion of 4.0 in p
4.868 * [backup-simplify]: Simplify 4.0 into 4.0
4.868 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
4.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
4.869 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
4.870 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
4.870 * [backup-simplify]: Simplify (/ 1/2 (sqrt 4.0)) into (/ 1/2 (sqrt 4.0))
4.871 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
4.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
4.872 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))))) into 0
4.872 * [backup-simplify]: Simplify 0 into 0
4.872 * [backup-simplify]: Simplify 0 into 0
4.873 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
4.874 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
4.874 * [backup-simplify]: Simplify 0 into 0
4.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.874 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
4.878 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
4.878 * [backup-simplify]: Simplify (+ 0 0) into 0
4.879 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* p (sqrt 4.0))))))) (* 2 (* p (sqrt 4.0)))) into 0
4.879 * [taylor]: Taking taylor expansion of 0 in p
4.879 * [backup-simplify]: Simplify 0 into 0
4.879 * [backup-simplify]: Simplify 0 into 0
4.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4.0))) into 0
4.880 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 4.0))))) into 0
4.881 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))) (* 0 (/ 0 (sqrt 4.0))))) into 0
4.881 * [backup-simplify]: Simplify 0 into 0
4.881 * [backup-simplify]: Simplify 0 into 0
4.881 * [backup-simplify]: Simplify (* (sqrt 4.0) (* p 1)) into (* p (sqrt 4.0))
4.882 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4.0 (/ 1 p))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
4.882 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
4.882 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
4.882 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
4.882 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
4.882 * [taylor]: Taking taylor expansion of 4.0 in p
4.882 * [backup-simplify]: Simplify 4.0 into 4.0
4.882 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
4.882 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.882 * [taylor]: Taking taylor expansion of p in p
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [backup-simplify]: Simplify 1 into 1
4.882 * [backup-simplify]: Simplify (* 1 1) into 1
4.882 * [backup-simplify]: Simplify (/ 1 1) into 1
4.882 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
4.882 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.882 * [taylor]: Taking taylor expansion of x in p
4.882 * [backup-simplify]: Simplify x into x
4.882 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.882 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.883 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
4.883 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
4.883 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
4.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.884 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
4.885 * [backup-simplify]: Simplify (+ 0 0) into 0
4.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
4.885 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
4.885 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
4.885 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
4.885 * [taylor]: Taking taylor expansion of 4.0 in x
4.885 * [backup-simplify]: Simplify 4.0 into 4.0
4.885 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
4.885 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.885 * [taylor]: Taking taylor expansion of p in x
4.885 * [backup-simplify]: Simplify p into p
4.885 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.885 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
4.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.885 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.886 * [taylor]: Taking taylor expansion of x in x
4.886 * [backup-simplify]: Simplify 0 into 0
4.886 * [backup-simplify]: Simplify 1 into 1
4.886 * [backup-simplify]: Simplify (* 1 1) into 1
4.886 * [backup-simplify]: Simplify (/ 1 1) into 1
4.887 * [backup-simplify]: Simplify (+ 0 1) into 1
4.887 * [backup-simplify]: Simplify (sqrt 1) into 1
4.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.888 * [backup-simplify]: Simplify (+ 0 0) into 0
4.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.888 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
4.888 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
4.888 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
4.888 * [taylor]: Taking taylor expansion of 4.0 in x
4.888 * [backup-simplify]: Simplify 4.0 into 4.0
4.888 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
4.888 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.888 * [taylor]: Taking taylor expansion of p in x
4.888 * [backup-simplify]: Simplify p into p
4.888 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.889 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
4.889 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.889 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.889 * [taylor]: Taking taylor expansion of x in x
4.889 * [backup-simplify]: Simplify 0 into 0
4.889 * [backup-simplify]: Simplify 1 into 1
4.889 * [backup-simplify]: Simplify (* 1 1) into 1
4.889 * [backup-simplify]: Simplify (/ 1 1) into 1
4.889 * [backup-simplify]: Simplify (+ 0 1) into 1
4.890 * [backup-simplify]: Simplify (sqrt 1) into 1
4.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.891 * [backup-simplify]: Simplify (+ 0 0) into 0
4.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.891 * [taylor]: Taking taylor expansion of 1 in p
4.891 * [backup-simplify]: Simplify 1 into 1
4.891 * [taylor]: Taking taylor expansion of 0 in p
4.891 * [backup-simplify]: Simplify 0 into 0
4.891 * [backup-simplify]: Simplify 1 into 1
4.891 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
4.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.893 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
4.893 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow p 2))
4.893 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p
4.893 * [taylor]: Taking taylor expansion of 2.0 in p
4.893 * [backup-simplify]: Simplify 2.0 into 2.0
4.893 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.893 * [taylor]: Taking taylor expansion of p in p
4.894 * [backup-simplify]: Simplify 0 into 0
4.894 * [backup-simplify]: Simplify 1 into 1
4.894 * [backup-simplify]: Simplify (* 1 1) into 1
4.894 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
4.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
4.895 * [backup-simplify]: Simplify 0 into 0
4.895 * [backup-simplify]: Simplify 0 into 0
4.895 * [backup-simplify]: Simplify 0 into 0
4.895 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
4.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
4.896 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
4.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.897 * [backup-simplify]: Simplify (+ 0 0) into 0
4.897 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow p 2)))))) (* 2 1)) into 0
4.897 * [taylor]: Taking taylor expansion of 0 in p
4.897 * [backup-simplify]: Simplify 0 into 0
4.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.899 * [backup-simplify]: Simplify 0 into 0
4.899 * [backup-simplify]: Simplify 0 into 0
4.899 * [backup-simplify]: Simplify 0 into 0
4.899 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
4.899 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4.0 (/ 1 (- p)))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
4.899 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
4.899 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
4.899 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
4.899 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
4.899 * [taylor]: Taking taylor expansion of 4.0 in p
4.899 * [backup-simplify]: Simplify 4.0 into 4.0
4.899 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
4.899 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.899 * [taylor]: Taking taylor expansion of p in p
4.899 * [backup-simplify]: Simplify 0 into 0
4.899 * [backup-simplify]: Simplify 1 into 1
4.899 * [backup-simplify]: Simplify (* 1 1) into 1
4.900 * [backup-simplify]: Simplify (/ 1 1) into 1
4.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
4.900 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.900 * [taylor]: Taking taylor expansion of x in p
4.900 * [backup-simplify]: Simplify x into x
4.900 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.900 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.900 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
4.900 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
4.901 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
4.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.902 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
4.902 * [backup-simplify]: Simplify (+ 0 0) into 0
4.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
4.903 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
4.903 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
4.903 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
4.903 * [taylor]: Taking taylor expansion of 4.0 in x
4.903 * [backup-simplify]: Simplify 4.0 into 4.0
4.903 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
4.903 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.903 * [taylor]: Taking taylor expansion of p in x
4.903 * [backup-simplify]: Simplify p into p
4.903 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.903 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
4.903 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.903 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.903 * [taylor]: Taking taylor expansion of x in x
4.903 * [backup-simplify]: Simplify 0 into 0
4.903 * [backup-simplify]: Simplify 1 into 1
4.903 * [backup-simplify]: Simplify (* 1 1) into 1
4.903 * [backup-simplify]: Simplify (/ 1 1) into 1
4.904 * [backup-simplify]: Simplify (+ 0 1) into 1
4.904 * [backup-simplify]: Simplify (sqrt 1) into 1
4.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.905 * [backup-simplify]: Simplify (+ 0 0) into 0
4.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.905 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
4.905 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
4.905 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
4.905 * [taylor]: Taking taylor expansion of 4.0 in x
4.905 * [backup-simplify]: Simplify 4.0 into 4.0
4.905 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
4.906 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.906 * [taylor]: Taking taylor expansion of p in x
4.906 * [backup-simplify]: Simplify p into p
4.906 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.906 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
4.906 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.906 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.906 * [taylor]: Taking taylor expansion of x in x
4.906 * [backup-simplify]: Simplify 0 into 0
4.906 * [backup-simplify]: Simplify 1 into 1
4.906 * [backup-simplify]: Simplify (* 1 1) into 1
4.906 * [backup-simplify]: Simplify (/ 1 1) into 1
4.907 * [backup-simplify]: Simplify (+ 0 1) into 1
4.907 * [backup-simplify]: Simplify (sqrt 1) into 1
4.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.908 * [backup-simplify]: Simplify (+ 0 0) into 0
4.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.908 * [taylor]: Taking taylor expansion of 1 in p
4.908 * [backup-simplify]: Simplify 1 into 1
4.908 * [taylor]: Taking taylor expansion of 0 in p
4.908 * [backup-simplify]: Simplify 0 into 0
4.908 * [backup-simplify]: Simplify 1 into 1
4.908 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
4.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.910 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
4.910 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow p 2))
4.910 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p
4.911 * [taylor]: Taking taylor expansion of 2.0 in p
4.911 * [backup-simplify]: Simplify 2.0 into 2.0
4.911 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.911 * [taylor]: Taking taylor expansion of p in p
4.911 * [backup-simplify]: Simplify 0 into 0
4.911 * [backup-simplify]: Simplify 1 into 1
4.911 * [backup-simplify]: Simplify (* 1 1) into 1
4.911 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
4.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
4.912 * [backup-simplify]: Simplify 0 into 0
4.912 * [backup-simplify]: Simplify 0 into 0
4.912 * [backup-simplify]: Simplify 0 into 0
4.912 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
4.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
4.913 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
4.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.914 * [backup-simplify]: Simplify (+ 0 0) into 0
4.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow p 2)))))) (* 2 1)) into 0
4.915 * [taylor]: Taking taylor expansion of 0 in p
4.915 * [backup-simplify]: Simplify 0 into 0
4.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.916 * [backup-simplify]: Simplify 0 into 0
4.916 * [backup-simplify]: Simplify 0 into 0
4.916 * [backup-simplify]: Simplify 0 into 0
4.916 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
4.916 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 1 2 1 1)
4.917 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* 4.0 p)))) into (sqrt (+ (pow x 2) (* 4.0 (pow p 2))))
4.917 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (x p) around 0
4.917 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p
4.917 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p
4.917 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.917 * [taylor]: Taking taylor expansion of x in p
4.917 * [backup-simplify]: Simplify x into x
4.917 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p
4.917 * [taylor]: Taking taylor expansion of 4.0 in p
4.917 * [backup-simplify]: Simplify 4.0 into 4.0
4.917 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.917 * [taylor]: Taking taylor expansion of p in p
4.917 * [backup-simplify]: Simplify 0 into 0
4.917 * [backup-simplify]: Simplify 1 into 1
4.917 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.917 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.917 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.917 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.917 * [backup-simplify]: Simplify (+ 0 0) into 0
4.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.917 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
4.918 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
4.918 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.918 * [taylor]: Taking taylor expansion of x in x
4.918 * [backup-simplify]: Simplify 0 into 0
4.918 * [backup-simplify]: Simplify 1 into 1
4.918 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
4.918 * [taylor]: Taking taylor expansion of 4.0 in x
4.918 * [backup-simplify]: Simplify 4.0 into 4.0
4.918 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.918 * [taylor]: Taking taylor expansion of p in x
4.918 * [backup-simplify]: Simplify p into p
4.918 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.918 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
4.918 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
4.918 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
4.918 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
4.918 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
4.919 * [backup-simplify]: Simplify (+ 0 0) into 0
4.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
4.919 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
4.919 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
4.919 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.919 * [taylor]: Taking taylor expansion of x in x
4.919 * [backup-simplify]: Simplify 0 into 0
4.919 * [backup-simplify]: Simplify 1 into 1
4.919 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
4.919 * [taylor]: Taking taylor expansion of 4.0 in x
4.919 * [backup-simplify]: Simplify 4.0 into 4.0
4.919 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.919 * [taylor]: Taking taylor expansion of p in x
4.919 * [backup-simplify]: Simplify p into p
4.919 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.919 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
4.919 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
4.919 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
4.919 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
4.920 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
4.920 * [backup-simplify]: Simplify (+ 0 0) into 0
4.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
4.920 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p
4.920 * [taylor]: Taking taylor expansion of p in p
4.920 * [backup-simplify]: Simplify 0 into 0
4.920 * [backup-simplify]: Simplify 1 into 1
4.920 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p
4.920 * [taylor]: Taking taylor expansion of 4.0 in p
4.920 * [backup-simplify]: Simplify 4.0 into 4.0
4.921 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
4.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
4.921 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
4.921 * [backup-simplify]: Simplify 0 into 0
4.921 * [taylor]: Taking taylor expansion of 0 in p
4.921 * [backup-simplify]: Simplify 0 into 0
4.921 * [backup-simplify]: Simplify 0 into 0
4.923 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
4.923 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
4.923 * [backup-simplify]: Simplify (* 1 1) into 1
4.923 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
4.924 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
4.924 * [backup-simplify]: Simplify (+ 1 0) into 1
4.925 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* p (sqrt 4.0)))) into (/ 1/2 (* p (sqrt 4.0)))
4.925 * [taylor]: Taking taylor expansion of (/ 1/2 (* p (sqrt 4.0))) in p
4.925 * [taylor]: Taking taylor expansion of 1/2 in p
4.925 * [backup-simplify]: Simplify 1/2 into 1/2
4.925 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p
4.925 * [taylor]: Taking taylor expansion of p in p
4.925 * [backup-simplify]: Simplify 0 into 0
4.925 * [backup-simplify]: Simplify 1 into 1
4.925 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p
4.925 * [taylor]: Taking taylor expansion of 4.0 in p
4.925 * [backup-simplify]: Simplify 4.0 into 4.0
4.925 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
4.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
4.926 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
4.927 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
4.928 * [backup-simplify]: Simplify (/ 1/2 (sqrt 4.0)) into (/ 1/2 (sqrt 4.0))
4.928 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
4.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
4.930 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))))) into 0
4.930 * [backup-simplify]: Simplify 0 into 0
4.930 * [backup-simplify]: Simplify 0 into 0
4.931 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
4.931 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
4.931 * [backup-simplify]: Simplify 0 into 0
4.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.932 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
4.933 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
4.933 * [backup-simplify]: Simplify (+ 0 0) into 0
4.934 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* p (sqrt 4.0))))))) (* 2 (* p (sqrt 4.0)))) into 0
4.934 * [taylor]: Taking taylor expansion of 0 in p
4.934 * [backup-simplify]: Simplify 0 into 0
4.934 * [backup-simplify]: Simplify 0 into 0
4.935 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4.0))) into 0
4.935 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 4.0))))) into 0
4.936 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))) (* 0 (/ 0 (sqrt 4.0))))) into 0
4.936 * [backup-simplify]: Simplify 0 into 0
4.936 * [backup-simplify]: Simplify 0 into 0
4.936 * [backup-simplify]: Simplify (* (sqrt 4.0) (* p 1)) into (* p (sqrt 4.0))
4.936 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4.0 (/ 1 p))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
4.937 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
4.937 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
4.937 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
4.937 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
4.937 * [taylor]: Taking taylor expansion of 4.0 in p
4.937 * [backup-simplify]: Simplify 4.0 into 4.0
4.937 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
4.937 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.937 * [taylor]: Taking taylor expansion of p in p
4.937 * [backup-simplify]: Simplify 0 into 0
4.937 * [backup-simplify]: Simplify 1 into 1
4.937 * [backup-simplify]: Simplify (* 1 1) into 1
4.937 * [backup-simplify]: Simplify (/ 1 1) into 1
4.937 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
4.937 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.937 * [taylor]: Taking taylor expansion of x in p
4.937 * [backup-simplify]: Simplify x into x
4.937 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.937 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.938 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
4.938 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
4.938 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
4.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.939 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
4.940 * [backup-simplify]: Simplify (+ 0 0) into 0
4.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
4.940 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
4.940 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
4.940 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
4.940 * [taylor]: Taking taylor expansion of 4.0 in x
4.940 * [backup-simplify]: Simplify 4.0 into 4.0
4.940 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
4.940 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.940 * [taylor]: Taking taylor expansion of p in x
4.940 * [backup-simplify]: Simplify p into p
4.940 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.940 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
4.940 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.941 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.941 * [taylor]: Taking taylor expansion of x in x
4.941 * [backup-simplify]: Simplify 0 into 0
4.941 * [backup-simplify]: Simplify 1 into 1
4.941 * [backup-simplify]: Simplify (* 1 1) into 1
4.941 * [backup-simplify]: Simplify (/ 1 1) into 1
4.941 * [backup-simplify]: Simplify (+ 0 1) into 1
4.942 * [backup-simplify]: Simplify (sqrt 1) into 1
4.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.943 * [backup-simplify]: Simplify (+ 0 0) into 0
4.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.943 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
4.943 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
4.943 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
4.943 * [taylor]: Taking taylor expansion of 4.0 in x
4.943 * [backup-simplify]: Simplify 4.0 into 4.0
4.943 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
4.943 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.943 * [taylor]: Taking taylor expansion of p in x
4.943 * [backup-simplify]: Simplify p into p
4.943 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.943 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
4.943 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.943 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.943 * [taylor]: Taking taylor expansion of x in x
4.943 * [backup-simplify]: Simplify 0 into 0
4.943 * [backup-simplify]: Simplify 1 into 1
4.944 * [backup-simplify]: Simplify (* 1 1) into 1
4.944 * [backup-simplify]: Simplify (/ 1 1) into 1
4.944 * [backup-simplify]: Simplify (+ 0 1) into 1
4.944 * [backup-simplify]: Simplify (sqrt 1) into 1
4.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.945 * [backup-simplify]: Simplify (+ 0 0) into 0
4.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.946 * [taylor]: Taking taylor expansion of 1 in p
4.946 * [backup-simplify]: Simplify 1 into 1
4.946 * [taylor]: Taking taylor expansion of 0 in p
4.946 * [backup-simplify]: Simplify 0 into 0
4.946 * [backup-simplify]: Simplify 1 into 1
4.946 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
4.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.947 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
4.948 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow p 2))
4.948 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p
4.948 * [taylor]: Taking taylor expansion of 2.0 in p
4.948 * [backup-simplify]: Simplify 2.0 into 2.0
4.948 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.948 * [taylor]: Taking taylor expansion of p in p
4.948 * [backup-simplify]: Simplify 0 into 0
4.948 * [backup-simplify]: Simplify 1 into 1
4.949 * [backup-simplify]: Simplify (* 1 1) into 1
4.949 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
4.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
4.950 * [backup-simplify]: Simplify 0 into 0
4.950 * [backup-simplify]: Simplify 0 into 0
4.950 * [backup-simplify]: Simplify 0 into 0
4.950 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
4.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
4.950 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
4.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.952 * [backup-simplify]: Simplify (+ 0 0) into 0
4.952 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow p 2)))))) (* 2 1)) into 0
4.952 * [taylor]: Taking taylor expansion of 0 in p
4.952 * [backup-simplify]: Simplify 0 into 0
4.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.953 * [backup-simplify]: Simplify 0 into 0
4.953 * [backup-simplify]: Simplify 0 into 0
4.953 * [backup-simplify]: Simplify 0 into 0
4.953 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
4.954 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4.0 (/ 1 (- p)))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
4.954 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
4.954 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
4.954 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
4.954 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
4.954 * [taylor]: Taking taylor expansion of 4.0 in p
4.954 * [backup-simplify]: Simplify 4.0 into 4.0
4.954 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
4.954 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.954 * [taylor]: Taking taylor expansion of p in p
4.954 * [backup-simplify]: Simplify 0 into 0
4.954 * [backup-simplify]: Simplify 1 into 1
4.954 * [backup-simplify]: Simplify (* 1 1) into 1
4.954 * [backup-simplify]: Simplify (/ 1 1) into 1
4.954 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
4.954 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.954 * [taylor]: Taking taylor expansion of x in p
4.954 * [backup-simplify]: Simplify x into x
4.955 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.955 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.955 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
4.955 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
4.955 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
4.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.957 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
4.957 * [backup-simplify]: Simplify (+ 0 0) into 0
4.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
4.958 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
4.958 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
4.958 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
4.958 * [taylor]: Taking taylor expansion of 4.0 in x
4.958 * [backup-simplify]: Simplify 4.0 into 4.0
4.958 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
4.958 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.958 * [taylor]: Taking taylor expansion of p in x
4.958 * [backup-simplify]: Simplify p into p
4.958 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.958 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
4.958 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.958 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.958 * [taylor]: Taking taylor expansion of x in x
4.958 * [backup-simplify]: Simplify 0 into 0
4.958 * [backup-simplify]: Simplify 1 into 1
4.958 * [backup-simplify]: Simplify (* 1 1) into 1
4.958 * [backup-simplify]: Simplify (/ 1 1) into 1
4.959 * [backup-simplify]: Simplify (+ 0 1) into 1
4.959 * [backup-simplify]: Simplify (sqrt 1) into 1
4.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.960 * [backup-simplify]: Simplify (+ 0 0) into 0
4.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.960 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
4.960 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
4.960 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
4.960 * [taylor]: Taking taylor expansion of 4.0 in x
4.961 * [backup-simplify]: Simplify 4.0 into 4.0
4.961 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
4.961 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.961 * [taylor]: Taking taylor expansion of p in x
4.961 * [backup-simplify]: Simplify p into p
4.961 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.961 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
4.961 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.961 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.961 * [taylor]: Taking taylor expansion of x in x
4.961 * [backup-simplify]: Simplify 0 into 0
4.961 * [backup-simplify]: Simplify 1 into 1
4.961 * [backup-simplify]: Simplify (* 1 1) into 1
4.961 * [backup-simplify]: Simplify (/ 1 1) into 1
4.962 * [backup-simplify]: Simplify (+ 0 1) into 1
4.962 * [backup-simplify]: Simplify (sqrt 1) into 1
4.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.963 * [backup-simplify]: Simplify (+ 0 0) into 0
4.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.963 * [taylor]: Taking taylor expansion of 1 in p
4.963 * [backup-simplify]: Simplify 1 into 1
4.963 * [taylor]: Taking taylor expansion of 0 in p
4.963 * [backup-simplify]: Simplify 0 into 0
4.963 * [backup-simplify]: Simplify 1 into 1
4.964 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
4.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.965 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
4.966 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow p 2))
4.966 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p
4.966 * [taylor]: Taking taylor expansion of 2.0 in p
4.966 * [backup-simplify]: Simplify 2.0 into 2.0
4.966 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.966 * [taylor]: Taking taylor expansion of p in p
4.966 * [backup-simplify]: Simplify 0 into 0
4.966 * [backup-simplify]: Simplify 1 into 1
4.966 * [backup-simplify]: Simplify (* 1 1) into 1
4.966 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
4.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
4.971 * [backup-simplify]: Simplify 0 into 0
4.971 * [backup-simplify]: Simplify 0 into 0
4.971 * [backup-simplify]: Simplify 0 into 0
4.971 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
4.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
4.972 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
4.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.973 * [backup-simplify]: Simplify (+ 0 0) into 0
4.974 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow p 2)))))) (* 2 1)) into 0
4.974 * [taylor]: Taking taylor expansion of 0 in p
4.974 * [backup-simplify]: Simplify 0 into 0
4.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.975 * [backup-simplify]: Simplify 0 into 0
4.975 * [backup-simplify]: Simplify 0 into 0
4.975 * [backup-simplify]: Simplify 0 into 0
4.975 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
4.975 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2 1 2)
4.975 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* 4.0 p)))) into (sqrt (+ (pow x 2) (* 4.0 (pow p 2))))
4.975 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (x p) around 0
4.975 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p
4.975 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p
4.975 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.975 * [taylor]: Taking taylor expansion of x in p
4.975 * [backup-simplify]: Simplify x into x
4.975 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p
4.975 * [taylor]: Taking taylor expansion of 4.0 in p
4.975 * [backup-simplify]: Simplify 4.0 into 4.0
4.975 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.975 * [taylor]: Taking taylor expansion of p in p
4.975 * [backup-simplify]: Simplify 0 into 0
4.975 * [backup-simplify]: Simplify 1 into 1
4.975 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.975 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.976 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.976 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.976 * [backup-simplify]: Simplify (+ 0 0) into 0
4.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.976 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
4.976 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
4.976 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.976 * [taylor]: Taking taylor expansion of x in x
4.976 * [backup-simplify]: Simplify 0 into 0
4.976 * [backup-simplify]: Simplify 1 into 1
4.976 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
4.976 * [taylor]: Taking taylor expansion of 4.0 in x
4.976 * [backup-simplify]: Simplify 4.0 into 4.0
4.976 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.976 * [taylor]: Taking taylor expansion of p in x
4.976 * [backup-simplify]: Simplify p into p
4.976 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.976 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
4.976 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
4.976 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
4.977 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
4.977 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
4.977 * [backup-simplify]: Simplify (+ 0 0) into 0
4.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
4.977 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
4.977 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
4.977 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.977 * [taylor]: Taking taylor expansion of x in x
4.977 * [backup-simplify]: Simplify 0 into 0
4.977 * [backup-simplify]: Simplify 1 into 1
4.977 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
4.977 * [taylor]: Taking taylor expansion of 4.0 in x
4.977 * [backup-simplify]: Simplify 4.0 into 4.0
4.977 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.977 * [taylor]: Taking taylor expansion of p in x
4.977 * [backup-simplify]: Simplify p into p
4.977 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.978 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
4.978 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
4.978 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
4.978 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
4.978 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
4.978 * [backup-simplify]: Simplify (+ 0 0) into 0
4.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
4.979 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p
4.979 * [taylor]: Taking taylor expansion of p in p
4.979 * [backup-simplify]: Simplify 0 into 0
4.979 * [backup-simplify]: Simplify 1 into 1
4.979 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p
4.979 * [taylor]: Taking taylor expansion of 4.0 in p
4.979 * [backup-simplify]: Simplify 4.0 into 4.0
4.979 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
4.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
4.980 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
4.980 * [backup-simplify]: Simplify 0 into 0
4.980 * [taylor]: Taking taylor expansion of 0 in p
4.980 * [backup-simplify]: Simplify 0 into 0
4.980 * [backup-simplify]: Simplify 0 into 0
4.981 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
4.981 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
4.982 * [backup-simplify]: Simplify (* 1 1) into 1
4.982 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
4.982 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
4.983 * [backup-simplify]: Simplify (+ 1 0) into 1
4.983 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* p (sqrt 4.0)))) into (/ 1/2 (* p (sqrt 4.0)))
4.983 * [taylor]: Taking taylor expansion of (/ 1/2 (* p (sqrt 4.0))) in p
4.983 * [taylor]: Taking taylor expansion of 1/2 in p
4.983 * [backup-simplify]: Simplify 1/2 into 1/2
4.983 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p
4.983 * [taylor]: Taking taylor expansion of p in p
4.983 * [backup-simplify]: Simplify 0 into 0
4.983 * [backup-simplify]: Simplify 1 into 1
4.983 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p
4.983 * [taylor]: Taking taylor expansion of 4.0 in p
4.983 * [backup-simplify]: Simplify 4.0 into 4.0
4.984 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
4.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
4.984 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
4.986 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
4.986 * [backup-simplify]: Simplify (/ 1/2 (sqrt 4.0)) into (/ 1/2 (sqrt 4.0))
4.987 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
4.987 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
4.988 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))))) into 0
4.988 * [backup-simplify]: Simplify 0 into 0
4.988 * [backup-simplify]: Simplify 0 into 0
4.989 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
4.989 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
4.989 * [backup-simplify]: Simplify 0 into 0
4.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.990 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
4.991 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
4.991 * [backup-simplify]: Simplify (+ 0 0) into 0
4.992 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* p (sqrt 4.0))))))) (* 2 (* p (sqrt 4.0)))) into 0
4.992 * [taylor]: Taking taylor expansion of 0 in p
4.992 * [backup-simplify]: Simplify 0 into 0
4.992 * [backup-simplify]: Simplify 0 into 0
4.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4.0))) into 0
4.993 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 4.0))))) into 0
4.994 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))) (* 0 (/ 0 (sqrt 4.0))))) into 0
4.994 * [backup-simplify]: Simplify 0 into 0
4.994 * [backup-simplify]: Simplify 0 into 0
4.995 * [backup-simplify]: Simplify (* (sqrt 4.0) (* p 1)) into (* p (sqrt 4.0))
4.995 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4.0 (/ 1 p))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
4.995 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
4.995 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
4.995 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
4.995 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
4.995 * [taylor]: Taking taylor expansion of 4.0 in p
4.995 * [backup-simplify]: Simplify 4.0 into 4.0
4.995 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
4.995 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.995 * [taylor]: Taking taylor expansion of p in p
4.995 * [backup-simplify]: Simplify 0 into 0
4.995 * [backup-simplify]: Simplify 1 into 1
4.995 * [backup-simplify]: Simplify (* 1 1) into 1
4.995 * [backup-simplify]: Simplify (/ 1 1) into 1
4.995 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
4.995 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.995 * [taylor]: Taking taylor expansion of x in p
4.996 * [backup-simplify]: Simplify x into x
4.996 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.996 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.996 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
4.996 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
4.996 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
4.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.998 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
4.998 * [backup-simplify]: Simplify (+ 0 0) into 0
4.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
4.999 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
4.999 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
4.999 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
4.999 * [taylor]: Taking taylor expansion of 4.0 in x
4.999 * [backup-simplify]: Simplify 4.0 into 4.0
4.999 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
4.999 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.999 * [taylor]: Taking taylor expansion of p in x
4.999 * [backup-simplify]: Simplify p into p
4.999 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.999 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
4.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.999 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.999 * [taylor]: Taking taylor expansion of x in x
4.999 * [backup-simplify]: Simplify 0 into 0
4.999 * [backup-simplify]: Simplify 1 into 1
4.999 * [backup-simplify]: Simplify (* 1 1) into 1
4.999 * [backup-simplify]: Simplify (/ 1 1) into 1
5.000 * [backup-simplify]: Simplify (+ 0 1) into 1
5.000 * [backup-simplify]: Simplify (sqrt 1) into 1
5.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.001 * [backup-simplify]: Simplify (+ 0 0) into 0
5.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.001 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
5.001 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
5.001 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
5.001 * [taylor]: Taking taylor expansion of 4.0 in x
5.001 * [backup-simplify]: Simplify 4.0 into 4.0
5.001 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
5.001 * [taylor]: Taking taylor expansion of (pow p 2) in x
5.001 * [taylor]: Taking taylor expansion of p in x
5.001 * [backup-simplify]: Simplify p into p
5.002 * [backup-simplify]: Simplify (* p p) into (pow p 2)
5.002 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
5.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.002 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.002 * [taylor]: Taking taylor expansion of x in x
5.002 * [backup-simplify]: Simplify 0 into 0
5.002 * [backup-simplify]: Simplify 1 into 1
5.002 * [backup-simplify]: Simplify (* 1 1) into 1
5.002 * [backup-simplify]: Simplify (/ 1 1) into 1
5.002 * [backup-simplify]: Simplify (+ 0 1) into 1
5.003 * [backup-simplify]: Simplify (sqrt 1) into 1
5.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.004 * [backup-simplify]: Simplify (+ 0 0) into 0
5.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.004 * [taylor]: Taking taylor expansion of 1 in p
5.004 * [backup-simplify]: Simplify 1 into 1
5.004 * [taylor]: Taking taylor expansion of 0 in p
5.004 * [backup-simplify]: Simplify 0 into 0
5.004 * [backup-simplify]: Simplify 1 into 1
5.004 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
5.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.006 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
5.006 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow p 2))
5.006 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p
5.006 * [taylor]: Taking taylor expansion of 2.0 in p
5.007 * [backup-simplify]: Simplify 2.0 into 2.0
5.007 * [taylor]: Taking taylor expansion of (pow p 2) in p
5.007 * [taylor]: Taking taylor expansion of p in p
5.007 * [backup-simplify]: Simplify 0 into 0
5.007 * [backup-simplify]: Simplify 1 into 1
5.007 * [backup-simplify]: Simplify (* 1 1) into 1
5.007 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
5.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
5.008 * [backup-simplify]: Simplify 0 into 0
5.008 * [backup-simplify]: Simplify 0 into 0
5.008 * [backup-simplify]: Simplify 0 into 0
5.008 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
5.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
5.009 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
5.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.010 * [backup-simplify]: Simplify (+ 0 0) into 0
5.010 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow p 2)))))) (* 2 1)) into 0
5.010 * [taylor]: Taking taylor expansion of 0 in p
5.011 * [backup-simplify]: Simplify 0 into 0
5.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.012 * [backup-simplify]: Simplify 0 into 0
5.012 * [backup-simplify]: Simplify 0 into 0
5.012 * [backup-simplify]: Simplify 0 into 0
5.012 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
5.012 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4.0 (/ 1 (- p)))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
5.012 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
5.012 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
5.012 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
5.012 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
5.012 * [taylor]: Taking taylor expansion of 4.0 in p
5.012 * [backup-simplify]: Simplify 4.0 into 4.0
5.012 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
5.012 * [taylor]: Taking taylor expansion of (pow p 2) in p
5.012 * [taylor]: Taking taylor expansion of p in p
5.012 * [backup-simplify]: Simplify 0 into 0
5.012 * [backup-simplify]: Simplify 1 into 1
5.012 * [backup-simplify]: Simplify (* 1 1) into 1
5.013 * [backup-simplify]: Simplify (/ 1 1) into 1
5.013 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
5.013 * [taylor]: Taking taylor expansion of (pow x 2) in p
5.013 * [taylor]: Taking taylor expansion of x in p
5.013 * [backup-simplify]: Simplify x into x
5.013 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.013 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.013 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
5.013 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
5.014 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
5.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.015 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
5.015 * [backup-simplify]: Simplify (+ 0 0) into 0
5.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
5.016 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
5.016 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
5.016 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
5.016 * [taylor]: Taking taylor expansion of 4.0 in x
5.016 * [backup-simplify]: Simplify 4.0 into 4.0
5.016 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
5.016 * [taylor]: Taking taylor expansion of (pow p 2) in x
5.016 * [taylor]: Taking taylor expansion of p in x
5.016 * [backup-simplify]: Simplify p into p
5.016 * [backup-simplify]: Simplify (* p p) into (pow p 2)
5.016 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
5.016 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.016 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.016 * [taylor]: Taking taylor expansion of x in x
5.016 * [backup-simplify]: Simplify 0 into 0
5.016 * [backup-simplify]: Simplify 1 into 1
5.016 * [backup-simplify]: Simplify (* 1 1) into 1
5.016 * [backup-simplify]: Simplify (/ 1 1) into 1
5.017 * [backup-simplify]: Simplify (+ 0 1) into 1
5.017 * [backup-simplify]: Simplify (sqrt 1) into 1
5.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.018 * [backup-simplify]: Simplify (+ 0 0) into 0
5.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.019 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
5.019 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
5.019 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
5.019 * [taylor]: Taking taylor expansion of 4.0 in x
5.019 * [backup-simplify]: Simplify 4.0 into 4.0
5.019 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
5.019 * [taylor]: Taking taylor expansion of (pow p 2) in x
5.019 * [taylor]: Taking taylor expansion of p in x
5.019 * [backup-simplify]: Simplify p into p
5.019 * [backup-simplify]: Simplify (* p p) into (pow p 2)
5.019 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
5.019 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.019 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.019 * [taylor]: Taking taylor expansion of x in x
5.019 * [backup-simplify]: Simplify 0 into 0
5.019 * [backup-simplify]: Simplify 1 into 1
5.019 * [backup-simplify]: Simplify (* 1 1) into 1
5.020 * [backup-simplify]: Simplify (/ 1 1) into 1
5.020 * [backup-simplify]: Simplify (+ 0 1) into 1
5.020 * [backup-simplify]: Simplify (sqrt 1) into 1
5.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.021 * [backup-simplify]: Simplify (+ 0 0) into 0
5.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.022 * [taylor]: Taking taylor expansion of 1 in p
5.022 * [backup-simplify]: Simplify 1 into 1
5.022 * [taylor]: Taking taylor expansion of 0 in p
5.022 * [backup-simplify]: Simplify 0 into 0
5.022 * [backup-simplify]: Simplify 1 into 1
5.022 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
5.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.023 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
5.024 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow p 2))
5.024 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p
5.024 * [taylor]: Taking taylor expansion of 2.0 in p
5.024 * [backup-simplify]: Simplify 2.0 into 2.0
5.024 * [taylor]: Taking taylor expansion of (pow p 2) in p
5.024 * [taylor]: Taking taylor expansion of p in p
5.024 * [backup-simplify]: Simplify 0 into 0
5.024 * [backup-simplify]: Simplify 1 into 1
5.024 * [backup-simplify]: Simplify (* 1 1) into 1
5.024 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
5.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
5.025 * [backup-simplify]: Simplify 0 into 0
5.025 * [backup-simplify]: Simplify 0 into 0
5.025 * [backup-simplify]: Simplify 0 into 0
5.026 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
5.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
5.026 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
5.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.027 * [backup-simplify]: Simplify (+ 0 0) into 0
5.028 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow p 2)))))) (* 2 1)) into 0
5.028 * [taylor]: Taking taylor expansion of 0 in p
5.028 * [backup-simplify]: Simplify 0 into 0
5.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.029 * [backup-simplify]: Simplify 0 into 0
5.029 * [backup-simplify]: Simplify 0 into 0
5.029 * [backup-simplify]: Simplify 0 into 0
5.029 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
5.029 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1 1 2)
5.029 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* x x) (* p (* 4.0 p)))))) into (sqrt (+ (pow x 2) (* 4.0 (pow p 2))))
5.029 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (x p) around 0
5.030 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p
5.030 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p
5.030 * [taylor]: Taking taylor expansion of (pow x 2) in p
5.030 * [taylor]: Taking taylor expansion of x in p
5.030 * [backup-simplify]: Simplify x into x
5.030 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p
5.030 * [taylor]: Taking taylor expansion of 4.0 in p
5.030 * [backup-simplify]: Simplify 4.0 into 4.0
5.030 * [taylor]: Taking taylor expansion of (pow p 2) in p
5.030 * [taylor]: Taking taylor expansion of p in p
5.030 * [backup-simplify]: Simplify 0 into 0
5.030 * [backup-simplify]: Simplify 1 into 1
5.030 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.030 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.030 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
5.030 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.030 * [backup-simplify]: Simplify (+ 0 0) into 0
5.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
5.030 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
5.030 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
5.030 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.030 * [taylor]: Taking taylor expansion of x in x
5.030 * [backup-simplify]: Simplify 0 into 0
5.030 * [backup-simplify]: Simplify 1 into 1
5.030 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
5.030 * [taylor]: Taking taylor expansion of 4.0 in x
5.030 * [backup-simplify]: Simplify 4.0 into 4.0
5.030 * [taylor]: Taking taylor expansion of (pow p 2) in x
5.031 * [taylor]: Taking taylor expansion of p in x
5.031 * [backup-simplify]: Simplify p into p
5.031 * [backup-simplify]: Simplify (* p p) into (pow p 2)
5.031 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
5.031 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
5.031 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
5.031 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
5.031 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
5.031 * [backup-simplify]: Simplify (+ 0 0) into 0
5.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
5.032 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
5.032 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
5.032 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.032 * [taylor]: Taking taylor expansion of x in x
5.032 * [backup-simplify]: Simplify 0 into 0
5.032 * [backup-simplify]: Simplify 1 into 1
5.032 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
5.032 * [taylor]: Taking taylor expansion of 4.0 in x
5.032 * [backup-simplify]: Simplify 4.0 into 4.0
5.032 * [taylor]: Taking taylor expansion of (pow p 2) in x
5.032 * [taylor]: Taking taylor expansion of p in x
5.032 * [backup-simplify]: Simplify p into p
5.032 * [backup-simplify]: Simplify (* p p) into (pow p 2)
5.032 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
5.032 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
5.032 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
5.032 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
5.033 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
5.033 * [backup-simplify]: Simplify (+ 0 0) into 0
5.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
5.033 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p
5.033 * [taylor]: Taking taylor expansion of p in p
5.033 * [backup-simplify]: Simplify 0 into 0
5.033 * [backup-simplify]: Simplify 1 into 1
5.033 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p
5.033 * [taylor]: Taking taylor expansion of 4.0 in p
5.033 * [backup-simplify]: Simplify 4.0 into 4.0
5.033 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
5.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
5.034 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
5.034 * [backup-simplify]: Simplify 0 into 0
5.034 * [taylor]: Taking taylor expansion of 0 in p
5.034 * [backup-simplify]: Simplify 0 into 0
5.034 * [backup-simplify]: Simplify 0 into 0
5.035 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
5.036 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
5.036 * [backup-simplify]: Simplify (* 1 1) into 1
5.036 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
5.037 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
5.037 * [backup-simplify]: Simplify (+ 1 0) into 1
5.038 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* p (sqrt 4.0)))) into (/ 1/2 (* p (sqrt 4.0)))
5.038 * [taylor]: Taking taylor expansion of (/ 1/2 (* p (sqrt 4.0))) in p
5.038 * [taylor]: Taking taylor expansion of 1/2 in p
5.038 * [backup-simplify]: Simplify 1/2 into 1/2
5.038 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p
5.038 * [taylor]: Taking taylor expansion of p in p
5.038 * [backup-simplify]: Simplify 0 into 0
5.038 * [backup-simplify]: Simplify 1 into 1
5.038 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p
5.038 * [taylor]: Taking taylor expansion of 4.0 in p
5.038 * [backup-simplify]: Simplify 4.0 into 4.0
5.038 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
5.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
5.039 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
5.040 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
5.041 * [backup-simplify]: Simplify (/ 1/2 (sqrt 4.0)) into (/ 1/2 (sqrt 4.0))
5.041 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
5.042 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
5.042 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))))) into 0
5.043 * [backup-simplify]: Simplify 0 into 0
5.043 * [backup-simplify]: Simplify 0 into 0
5.043 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
5.044 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
5.044 * [backup-simplify]: Simplify 0 into 0
5.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.045 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
5.046 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
5.046 * [backup-simplify]: Simplify (+ 0 0) into 0
5.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* p (sqrt 4.0))))))) (* 2 (* p (sqrt 4.0)))) into 0
5.046 * [taylor]: Taking taylor expansion of 0 in p
5.046 * [backup-simplify]: Simplify 0 into 0
5.047 * [backup-simplify]: Simplify 0 into 0
5.047 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4.0))) into 0
5.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 4.0))))) into 0
5.049 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))) (* 0 (/ 0 (sqrt 4.0))))) into 0
5.049 * [backup-simplify]: Simplify 0 into 0
5.049 * [backup-simplify]: Simplify 0 into 0
5.049 * [backup-simplify]: Simplify (* (sqrt 4.0) (* p 1)) into (* p (sqrt 4.0))
5.049 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4.0 (/ 1 p))))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
5.049 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
5.049 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
5.050 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
5.050 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
5.050 * [taylor]: Taking taylor expansion of 4.0 in p
5.050 * [backup-simplify]: Simplify 4.0 into 4.0
5.050 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
5.050 * [taylor]: Taking taylor expansion of (pow p 2) in p
5.050 * [taylor]: Taking taylor expansion of p in p
5.050 * [backup-simplify]: Simplify 0 into 0
5.050 * [backup-simplify]: Simplify 1 into 1
5.050 * [backup-simplify]: Simplify (* 1 1) into 1
5.050 * [backup-simplify]: Simplify (/ 1 1) into 1
5.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
5.050 * [taylor]: Taking taylor expansion of (pow x 2) in p
5.050 * [taylor]: Taking taylor expansion of x in p
5.050 * [backup-simplify]: Simplify x into x
5.050 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.050 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.051 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
5.051 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
5.051 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
5.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.053 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
5.053 * [backup-simplify]: Simplify (+ 0 0) into 0
5.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
5.053 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
5.053 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
5.053 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
5.053 * [taylor]: Taking taylor expansion of 4.0 in x
5.053 * [backup-simplify]: Simplify 4.0 into 4.0
5.053 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
5.053 * [taylor]: Taking taylor expansion of (pow p 2) in x
5.053 * [taylor]: Taking taylor expansion of p in x
5.053 * [backup-simplify]: Simplify p into p
5.053 * [backup-simplify]: Simplify (* p p) into (pow p 2)
5.053 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
5.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.054 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.054 * [taylor]: Taking taylor expansion of x in x
5.054 * [backup-simplify]: Simplify 0 into 0
5.054 * [backup-simplify]: Simplify 1 into 1
5.054 * [backup-simplify]: Simplify (* 1 1) into 1
5.054 * [backup-simplify]: Simplify (/ 1 1) into 1
5.054 * [backup-simplify]: Simplify (+ 0 1) into 1
5.055 * [backup-simplify]: Simplify (sqrt 1) into 1
5.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.056 * [backup-simplify]: Simplify (+ 0 0) into 0
5.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.056 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
5.056 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
5.056 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
5.056 * [taylor]: Taking taylor expansion of 4.0 in x
5.056 * [backup-simplify]: Simplify 4.0 into 4.0
5.056 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
5.056 * [taylor]: Taking taylor expansion of (pow p 2) in x
5.056 * [taylor]: Taking taylor expansion of p in x
5.056 * [backup-simplify]: Simplify p into p
5.056 * [backup-simplify]: Simplify (* p p) into (pow p 2)
5.056 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
5.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.056 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.056 * [taylor]: Taking taylor expansion of x in x
5.056 * [backup-simplify]: Simplify 0 into 0
5.056 * [backup-simplify]: Simplify 1 into 1
5.057 * [backup-simplify]: Simplify (* 1 1) into 1
5.057 * [backup-simplify]: Simplify (/ 1 1) into 1
5.057 * [backup-simplify]: Simplify (+ 0 1) into 1
5.057 * [backup-simplify]: Simplify (sqrt 1) into 1
5.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.058 * [backup-simplify]: Simplify (+ 0 0) into 0
5.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.062 * [taylor]: Taking taylor expansion of 1 in p
5.062 * [backup-simplify]: Simplify 1 into 1
5.062 * [taylor]: Taking taylor expansion of 0 in p
5.062 * [backup-simplify]: Simplify 0 into 0
5.062 * [backup-simplify]: Simplify 1 into 1
5.063 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
5.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.064 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
5.065 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow p 2))
5.065 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p
5.065 * [taylor]: Taking taylor expansion of 2.0 in p
5.065 * [backup-simplify]: Simplify 2.0 into 2.0
5.065 * [taylor]: Taking taylor expansion of (pow p 2) in p
5.065 * [taylor]: Taking taylor expansion of p in p
5.065 * [backup-simplify]: Simplify 0 into 0
5.065 * [backup-simplify]: Simplify 1 into 1
5.065 * [backup-simplify]: Simplify (* 1 1) into 1
5.066 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
5.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
5.066 * [backup-simplify]: Simplify 0 into 0
5.066 * [backup-simplify]: Simplify 0 into 0
5.066 * [backup-simplify]: Simplify 0 into 0
5.067 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
5.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
5.067 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
5.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.069 * [backup-simplify]: Simplify (+ 0 0) into 0
5.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow p 2)))))) (* 2 1)) into 0
5.069 * [taylor]: Taking taylor expansion of 0 in p
5.069 * [backup-simplify]: Simplify 0 into 0
5.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.070 * [backup-simplify]: Simplify 0 into 0
5.070 * [backup-simplify]: Simplify 0 into 0
5.070 * [backup-simplify]: Simplify 0 into 0
5.070 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
5.071 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4.0 (/ 1 (- p)))))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
5.071 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
5.071 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
5.071 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
5.071 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
5.071 * [taylor]: Taking taylor expansion of 4.0 in p
5.071 * [backup-simplify]: Simplify 4.0 into 4.0
5.071 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
5.071 * [taylor]: Taking taylor expansion of (pow p 2) in p
5.071 * [taylor]: Taking taylor expansion of p in p
5.071 * [backup-simplify]: Simplify 0 into 0
5.071 * [backup-simplify]: Simplify 1 into 1
5.071 * [backup-simplify]: Simplify (* 1 1) into 1
5.071 * [backup-simplify]: Simplify (/ 1 1) into 1
5.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
5.071 * [taylor]: Taking taylor expansion of (pow x 2) in p
5.071 * [taylor]: Taking taylor expansion of x in p
5.071 * [backup-simplify]: Simplify x into x
5.071 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.072 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.072 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
5.072 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
5.072 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
5.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.074 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
5.074 * [backup-simplify]: Simplify (+ 0 0) into 0
5.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
5.074 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
5.074 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
5.074 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
5.074 * [taylor]: Taking taylor expansion of 4.0 in x
5.074 * [backup-simplify]: Simplify 4.0 into 4.0
5.074 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
5.074 * [taylor]: Taking taylor expansion of (pow p 2) in x
5.074 * [taylor]: Taking taylor expansion of p in x
5.074 * [backup-simplify]: Simplify p into p
5.074 * [backup-simplify]: Simplify (* p p) into (pow p 2)
5.075 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
5.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.075 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.075 * [taylor]: Taking taylor expansion of x in x
5.075 * [backup-simplify]: Simplify 0 into 0
5.075 * [backup-simplify]: Simplify 1 into 1
5.075 * [backup-simplify]: Simplify (* 1 1) into 1
5.075 * [backup-simplify]: Simplify (/ 1 1) into 1
5.075 * [backup-simplify]: Simplify (+ 0 1) into 1
5.076 * [backup-simplify]: Simplify (sqrt 1) into 1
5.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.077 * [backup-simplify]: Simplify (+ 0 0) into 0
5.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.077 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
5.077 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
5.077 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
5.077 * [taylor]: Taking taylor expansion of 4.0 in x
5.077 * [backup-simplify]: Simplify 4.0 into 4.0
5.077 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
5.077 * [taylor]: Taking taylor expansion of (pow p 2) in x
5.077 * [taylor]: Taking taylor expansion of p in x
5.077 * [backup-simplify]: Simplify p into p
5.077 * [backup-simplify]: Simplify (* p p) into (pow p 2)
5.077 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
5.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.077 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.077 * [taylor]: Taking taylor expansion of x in x
5.078 * [backup-simplify]: Simplify 0 into 0
5.078 * [backup-simplify]: Simplify 1 into 1
5.078 * [backup-simplify]: Simplify (* 1 1) into 1
5.078 * [backup-simplify]: Simplify (/ 1 1) into 1
5.078 * [backup-simplify]: Simplify (+ 0 1) into 1
5.078 * [backup-simplify]: Simplify (sqrt 1) into 1
5.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.080 * [backup-simplify]: Simplify (+ 0 0) into 0
5.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.080 * [taylor]: Taking taylor expansion of 1 in p
5.080 * [backup-simplify]: Simplify 1 into 1
5.080 * [taylor]: Taking taylor expansion of 0 in p
5.080 * [backup-simplify]: Simplify 0 into 0
5.080 * [backup-simplify]: Simplify 1 into 1
5.080 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
5.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.081 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
5.082 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow p 2))
5.082 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p
5.082 * [taylor]: Taking taylor expansion of 2.0 in p
5.082 * [backup-simplify]: Simplify 2.0 into 2.0
5.082 * [taylor]: Taking taylor expansion of (pow p 2) in p
5.082 * [taylor]: Taking taylor expansion of p in p
5.082 * [backup-simplify]: Simplify 0 into 0
5.082 * [backup-simplify]: Simplify 1 into 1
5.083 * [backup-simplify]: Simplify (* 1 1) into 1
5.083 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
5.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
5.084 * [backup-simplify]: Simplify 0 into 0
5.084 * [backup-simplify]: Simplify 0 into 0
5.084 * [backup-simplify]: Simplify 0 into 0
5.084 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
5.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
5.084 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
5.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.086 * [backup-simplify]: Simplify (+ 0 0) into 0
5.086 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow p 2)))))) (* 2 1)) into 0
5.086 * [taylor]: Taking taylor expansion of 0 in p
5.086 * [backup-simplify]: Simplify 0 into 0
5.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.087 * [backup-simplify]: Simplify 0 into 0
5.087 * [backup-simplify]: Simplify 0 into 0
5.087 * [backup-simplify]: Simplify 0 into 0
5.088 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
5.088 * * * [progress]: simplifying candidates
5.089 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (exp (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (cbrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (* (sqrt (+ (* x x) (* p (* 4.0 p)))) (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p))))))
  (sqrt (cbrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt 1)
  (sqrt (+ (* x x) (* p (* 4.0 p))))
  (sqrt (+ (pow (* x x) 3) (pow (* p (* 4.0 p)) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4.0 p)) (* p (* 4.0 p))) (* (* x x) (* p (* 4.0 p))))))
  (sqrt (- (* (* x x) (* x x)) (* (* p (* 4.0 p)) (* p (* 4.0 p)))))
  (sqrt (- (* x x) (* p (* 4.0 p))))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (log (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (exp (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (cbrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (* (sqrt (+ (* x x) (* p (* 4.0 p)))) (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p))))))
  (sqrt (cbrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt 1)
  (sqrt (+ (* x x) (* p (* 4.0 p))))
  (sqrt (+ (pow (* x x) 3) (pow (* p (* 4.0 p)) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4.0 p)) (* p (* 4.0 p))) (* (* x x) (* p (* 4.0 p))))))
  (sqrt (- (* (* x x) (* x x)) (* (* p (* 4.0 p)) (* p (* 4.0 p)))))
  (sqrt (- (* x x) (* p (* 4.0 p))))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (log (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (exp (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (cbrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (* (sqrt (+ (* x x) (* p (* 4.0 p)))) (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p))))))
  (sqrt (cbrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt 1)
  (sqrt (+ (* x x) (* p (* 4.0 p))))
  (sqrt (+ (pow (* x x) 3) (pow (* p (* 4.0 p)) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4.0 p)) (* p (* 4.0 p))) (* (* x x) (* p (* 4.0 p))))))
  (sqrt (- (* (* x x) (* x x)) (* (* p (* 4.0 p)) (* p (* 4.0 p)))))
  (sqrt (- (* x x) (* p (* 4.0 p))))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (exp 1/2)
  (exp 1)
  (exp (/ 1 2))
  (exp (* (cbrt (log (sqrt (+ (* x x) (* p (* 4.0 p)))))) (cbrt (log (sqrt (+ (* x x) (* p (* 4.0 p))))))))
  (exp (sqrt (log (sqrt (+ (* x x) (* p (* 4.0 p)))))))
  (exp 1)
  (exp (log (* (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))))))
  (exp (log (cbrt (sqrt (+ (* x x) (* p (* 4.0 p)))))))
  (exp (log (sqrt (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p))))))))
  (exp (log (sqrt (cbrt (+ (* x x) (* p (* 4.0 p)))))))
  (exp (log (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))))
  (exp (log (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))))
  (exp (log (sqrt 1)))
  (exp (log (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (exp (log (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))))
  (exp (log (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))))
  (exp (log 1))
  (exp (log (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (exp (log (sqrt (+ (pow (* x x) 3) (pow (* p (* 4.0 p)) 3)))))
  (exp (log (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4.0 p)) (* p (* 4.0 p))) (* (* x x) (* p (* 4.0 p))))))))
  (exp (log (sqrt (- (* (* x x) (* x x)) (* (* p (* 4.0 p)) (* p (* 4.0 p)))))))
  (exp (log (sqrt (- (* x x) (* p (* 4.0 p))))))
  (log (exp (log (sqrt (+ (* x x) (* p (* 4.0 p)))))))
  (exp (exp (log (sqrt (+ (* x x) (* p (* 4.0 p)))))))
  (* (cbrt (exp (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (cbrt (exp (log (sqrt (+ (* x x) (* p (* 4.0 p))))))))
  (cbrt (exp (log (sqrt (+ (* x x) (* p (* 4.0 p)))))))
  (* (* (exp (log (sqrt (+ (* x x) (* p (* 4.0 p)))))) (exp (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (exp (log (sqrt (+ (* x x) (* p (* 4.0 p)))))))
  (sqrt (exp (log (sqrt (+ (* x x) (* p (* 4.0 p)))))))
  (sqrt (exp (log (sqrt (+ (* x x) (* p (* 4.0 p)))))))
  (* p (sqrt 4.0))
  x
  (* -1 x)
  (* p (sqrt 4.0))
  x
  (* -1 x)
  (* p (sqrt 4.0))
  x
  (* -1 x)
  (* p (sqrt 4.0))
  x
  (* -1 x)
5.090 * * [simplify]: iteration 0: 81 enodes
5.102 * * [simplify]: iteration 1: 146 enodes
5.124 * * [simplify]: iteration 2: 338 enodes
5.223 * * [simplify]: iteration 3: 1031 enodes
5.821 * * [simplify]: iteration 4: 3102 enodes
6.492 * * [simplify]: iteration complete: 5000 enodes
6.492 * * [simplify]: Extracting #0: cost 22 inf + 0
6.492 * * [simplify]: Extracting #1: cost 79 inf + 4
6.492 * * [simplify]: Extracting #2: cost 169 inf + 232
6.494 * * [simplify]: Extracting #3: cost 633 inf + 3196
6.506 * * [simplify]: Extracting #4: cost 834 inf + 62222
6.539 * * [simplify]: Extracting #5: cost 377 inf + 211106
6.587 * * [simplify]: Extracting #6: cost 149 inf + 294833
6.636 * * [simplify]: Extracting #7: cost 25 inf + 326913
6.685 * * [simplify]: Extracting #8: cost 0 inf + 335292
6.735 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (* (* p p) 4.0))))
  (exp (sqrt (+ (* x x) (* (* p p) 4.0))))
  (* (cbrt (sqrt (+ (* x x) (* (* p p) 4.0)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4.0)))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  (* (+ (* x x) (* (* p p) 4.0)) (sqrt (+ (* x x) (* (* p p) 4.0))))
  (fabs (cbrt (+ (* x x) (* (* p p) 4.0))))
  (sqrt (cbrt (+ (* x x) (* (* p p) 4.0))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  1
  (sqrt (+ (* x x) (* (* p p) 4.0)))
  (sqrt (+ (* (* (* p p) 4.0) (* (* (* p p) 4.0) (* (* p p) 4.0))) (* (* x x) (* (* x x) (* x x)))))
  (sqrt (+ (* (- (* x x) (* (* p p) 4.0)) (* x x)) (* (* (* p p) 4.0) (* (* p p) 4.0))))
  (sqrt (* (- (* x x) (* (* p p) 4.0)) (+ (* (* p p) 4.0) (* x x))))
  (sqrt (- (* x x) (* (* p p) 4.0)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  (log (sqrt (+ (* x x) (* (* p p) 4.0))))
  (exp (sqrt (+ (* x x) (* (* p p) 4.0))))
  (* (cbrt (sqrt (+ (* x x) (* (* p p) 4.0)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4.0)))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  (* (+ (* x x) (* (* p p) 4.0)) (sqrt (+ (* x x) (* (* p p) 4.0))))
  (fabs (cbrt (+ (* x x) (* (* p p) 4.0))))
  (sqrt (cbrt (+ (* x x) (* (* p p) 4.0))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  1
  (sqrt (+ (* x x) (* (* p p) 4.0)))
  (sqrt (+ (* (* (* p p) 4.0) (* (* (* p p) 4.0) (* (* p p) 4.0))) (* (* x x) (* (* x x) (* x x)))))
  (sqrt (+ (* (- (* x x) (* (* p p) 4.0)) (* x x)) (* (* (* p p) 4.0) (* (* p p) 4.0))))
  (sqrt (* (- (* x x) (* (* p p) 4.0)) (+ (* (* p p) 4.0) (* x x))))
  (sqrt (- (* x x) (* (* p p) 4.0)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  (log (sqrt (+ (* x x) (* (* p p) 4.0))))
  (exp (sqrt (+ (* x x) (* (* p p) 4.0))))
  (* (cbrt (sqrt (+ (* x x) (* (* p p) 4.0)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4.0)))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  (* (+ (* x x) (* (* p p) 4.0)) (sqrt (+ (* x x) (* (* p p) 4.0))))
  (fabs (cbrt (+ (* x x) (* (* p p) 4.0))))
  (sqrt (cbrt (+ (* x x) (* (* p p) 4.0))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  1
  (sqrt (+ (* x x) (* (* p p) 4.0)))
  (sqrt (+ (* (* (* p p) 4.0) (* (* (* p p) 4.0) (* (* p p) 4.0))) (* (* x x) (* (* x x) (* x x)))))
  (sqrt (+ (* (- (* x x) (* (* p p) 4.0)) (* x x)) (* (* (* p p) 4.0) (* (* p p) 4.0))))
  (sqrt (* (- (* x x) (* (* p p) 4.0)) (+ (* (* p p) 4.0) (* x x))))
  (sqrt (- (* x x) (* (* p p) 4.0)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  (sqrt E)
  E
  (sqrt E)
  (exp (* (cbrt (log (sqrt (+ (* x x) (* (* p p) 4.0))))) (cbrt (log (sqrt (+ (* x x) (* (* p p) 4.0)))))))
  (exp (sqrt (log (sqrt (+ (* x x) (* (* p p) 4.0))))))
  E
  (* (cbrt (sqrt (+ (* x x) (* (* p p) 4.0)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4.0)))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  (fabs (cbrt (+ (* x x) (* (* p p) 4.0))))
  (sqrt (cbrt (+ (* x x) (* (* p p) 4.0))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  1
  (sqrt (+ (* x x) (* (* p p) 4.0)))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  1
  (sqrt (+ (* x x) (* (* p p) 4.0)))
  (sqrt (+ (* (* (* p p) 4.0) (* (* (* p p) 4.0) (* (* p p) 4.0))) (* (* x x) (* (* x x) (* x x)))))
  (sqrt (+ (* (- (* x x) (* (* p p) 4.0)) (* x x)) (* (* (* p p) 4.0) (* (* p p) 4.0))))
  (sqrt (* (- (* x x) (* (* p p) 4.0)) (+ (* (* p p) 4.0) (* x x))))
  (sqrt (- (* x x) (* (* p p) 4.0)))
  (log (sqrt (+ (* x x) (* (* p p) 4.0))))
  (exp (sqrt (+ (* x x) (* (* p p) 4.0))))
  (* (cbrt (sqrt (+ (* x x) (* (* p p) 4.0)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4.0)))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  (* (+ (* x x) (* (* p p) 4.0)) (sqrt (+ (* x x) (* (* p p) 4.0))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4.0))))
  (* (sqrt 4.0) p)
  x
  (- x)
  (* (sqrt 4.0) p)
  x
  (- x)
  (* (sqrt 4.0) p)
  x
  (- x)
  (* (sqrt 4.0) p)
  x
  (- x)
6.754 * * * [progress]: adding candidates to table
7.251 * * [progress]: iteration 4 / 4
7.251 * * * [progress]: picking best candidate
7.347 * * * * [pick]: Picked  #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* p (* 4.0 p)))))) (cbrt (log (sqrt (+ (* x x) (* p (* 4.0 p)))))))) (cbrt (log (sqrt (+ (* x x) (* p (* 4.0 p)))))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))>
7.347 * * * [progress]: localizing error
7.462 * * * [progress]: generating rewritten candidates
7.462 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1 2 1 2)
7.469 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 1 2 2 1 1)
7.475 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1 1 2 1 1 2 1 1)
7.481 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1 1 2 1 1 1 1 1)
7.489 * * * [progress]: generating series expansions
7.489 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1 2 1 2)
7.489 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* 4.0 p)))) into (sqrt (+ (pow x 2) (* 4.0 (pow p 2))))
7.489 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (x p) around 0
7.489 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p
7.489 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p
7.489 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.489 * [taylor]: Taking taylor expansion of x in p
7.489 * [backup-simplify]: Simplify x into x
7.489 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p
7.489 * [taylor]: Taking taylor expansion of 4.0 in p
7.489 * [backup-simplify]: Simplify 4.0 into 4.0
7.489 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.489 * [taylor]: Taking taylor expansion of p in p
7.489 * [backup-simplify]: Simplify 0 into 0
7.489 * [backup-simplify]: Simplify 1 into 1
7.489 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.489 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.489 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
7.489 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.490 * [backup-simplify]: Simplify (+ 0 0) into 0
7.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
7.490 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
7.490 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
7.490 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.490 * [taylor]: Taking taylor expansion of x in x
7.490 * [backup-simplify]: Simplify 0 into 0
7.490 * [backup-simplify]: Simplify 1 into 1
7.490 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
7.490 * [taylor]: Taking taylor expansion of 4.0 in x
7.490 * [backup-simplify]: Simplify 4.0 into 4.0
7.490 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.490 * [taylor]: Taking taylor expansion of p in x
7.490 * [backup-simplify]: Simplify p into p
7.490 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.490 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
7.491 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
7.491 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
7.491 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.491 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
7.491 * [backup-simplify]: Simplify (+ 0 0) into 0
7.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
7.492 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
7.492 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
7.492 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.492 * [taylor]: Taking taylor expansion of x in x
7.492 * [backup-simplify]: Simplify 0 into 0
7.492 * [backup-simplify]: Simplify 1 into 1
7.492 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
7.492 * [taylor]: Taking taylor expansion of 4.0 in x
7.492 * [backup-simplify]: Simplify 4.0 into 4.0
7.492 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.492 * [taylor]: Taking taylor expansion of p in x
7.492 * [backup-simplify]: Simplify p into p
7.492 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.492 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
7.492 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
7.492 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
7.492 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.492 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
7.493 * [backup-simplify]: Simplify (+ 0 0) into 0
7.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
7.493 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p
7.493 * [taylor]: Taking taylor expansion of p in p
7.493 * [backup-simplify]: Simplify 0 into 0
7.493 * [backup-simplify]: Simplify 1 into 1
7.493 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p
7.493 * [taylor]: Taking taylor expansion of 4.0 in p
7.493 * [backup-simplify]: Simplify 4.0 into 4.0
7.493 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
7.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
7.494 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
7.494 * [backup-simplify]: Simplify 0 into 0
7.494 * [taylor]: Taking taylor expansion of 0 in p
7.494 * [backup-simplify]: Simplify 0 into 0
7.494 * [backup-simplify]: Simplify 0 into 0
7.496 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
7.496 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
7.496 * [backup-simplify]: Simplify (* 1 1) into 1
7.496 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
7.497 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
7.497 * [backup-simplify]: Simplify (+ 1 0) into 1
7.498 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* p (sqrt 4.0)))) into (/ 1/2 (* p (sqrt 4.0)))
7.498 * [taylor]: Taking taylor expansion of (/ 1/2 (* p (sqrt 4.0))) in p
7.498 * [taylor]: Taking taylor expansion of 1/2 in p
7.498 * [backup-simplify]: Simplify 1/2 into 1/2
7.498 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p
7.498 * [taylor]: Taking taylor expansion of p in p
7.498 * [backup-simplify]: Simplify 0 into 0
7.498 * [backup-simplify]: Simplify 1 into 1
7.498 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p
7.498 * [taylor]: Taking taylor expansion of 4.0 in p
7.498 * [backup-simplify]: Simplify 4.0 into 4.0
7.498 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
7.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
7.499 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
7.500 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
7.501 * [backup-simplify]: Simplify (/ 1/2 (sqrt 4.0)) into (/ 1/2 (sqrt 4.0))
7.502 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
7.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
7.503 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))))) into 0
7.503 * [backup-simplify]: Simplify 0 into 0
7.503 * [backup-simplify]: Simplify 0 into 0
7.504 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
7.504 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
7.504 * [backup-simplify]: Simplify 0 into 0
7.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.505 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
7.506 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
7.506 * [backup-simplify]: Simplify (+ 0 0) into 0
7.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* p (sqrt 4.0))))))) (* 2 (* p (sqrt 4.0)))) into 0
7.507 * [taylor]: Taking taylor expansion of 0 in p
7.507 * [backup-simplify]: Simplify 0 into 0
7.507 * [backup-simplify]: Simplify 0 into 0
7.508 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4.0))) into 0
7.508 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 4.0))))) into 0
7.509 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))) (* 0 (/ 0 (sqrt 4.0))))) into 0
7.509 * [backup-simplify]: Simplify 0 into 0
7.509 * [backup-simplify]: Simplify 0 into 0
7.510 * [backup-simplify]: Simplify (* (sqrt 4.0) (* p 1)) into (* p (sqrt 4.0))
7.510 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4.0 (/ 1 p))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
7.510 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
7.510 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
7.510 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
7.510 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
7.510 * [taylor]: Taking taylor expansion of 4.0 in p
7.510 * [backup-simplify]: Simplify 4.0 into 4.0
7.510 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
7.510 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.510 * [taylor]: Taking taylor expansion of p in p
7.510 * [backup-simplify]: Simplify 0 into 0
7.510 * [backup-simplify]: Simplify 1 into 1
7.510 * [backup-simplify]: Simplify (* 1 1) into 1
7.510 * [backup-simplify]: Simplify (/ 1 1) into 1
7.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
7.510 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.510 * [taylor]: Taking taylor expansion of x in p
7.510 * [backup-simplify]: Simplify x into x
7.510 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.511 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.511 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
7.511 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
7.511 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
7.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.513 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
7.513 * [backup-simplify]: Simplify (+ 0 0) into 0
7.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
7.513 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.513 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.513 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
7.513 * [taylor]: Taking taylor expansion of 4.0 in x
7.513 * [backup-simplify]: Simplify 4.0 into 4.0
7.513 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.513 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.513 * [taylor]: Taking taylor expansion of p in x
7.513 * [backup-simplify]: Simplify p into p
7.514 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.514 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.514 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.514 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.514 * [taylor]: Taking taylor expansion of x in x
7.514 * [backup-simplify]: Simplify 0 into 0
7.514 * [backup-simplify]: Simplify 1 into 1
7.514 * [backup-simplify]: Simplify (* 1 1) into 1
7.514 * [backup-simplify]: Simplify (/ 1 1) into 1
7.514 * [backup-simplify]: Simplify (+ 0 1) into 1
7.515 * [backup-simplify]: Simplify (sqrt 1) into 1
7.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.516 * [backup-simplify]: Simplify (+ 0 0) into 0
7.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.516 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.516 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.516 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
7.516 * [taylor]: Taking taylor expansion of 4.0 in x
7.516 * [backup-simplify]: Simplify 4.0 into 4.0
7.516 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.516 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.516 * [taylor]: Taking taylor expansion of p in x
7.516 * [backup-simplify]: Simplify p into p
7.516 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.516 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.517 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.517 * [taylor]: Taking taylor expansion of x in x
7.517 * [backup-simplify]: Simplify 0 into 0
7.517 * [backup-simplify]: Simplify 1 into 1
7.517 * [backup-simplify]: Simplify (* 1 1) into 1
7.517 * [backup-simplify]: Simplify (/ 1 1) into 1
7.517 * [backup-simplify]: Simplify (+ 0 1) into 1
7.518 * [backup-simplify]: Simplify (sqrt 1) into 1
7.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.519 * [backup-simplify]: Simplify (+ 0 0) into 0
7.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.519 * [taylor]: Taking taylor expansion of 1 in p
7.519 * [backup-simplify]: Simplify 1 into 1
7.519 * [taylor]: Taking taylor expansion of 0 in p
7.519 * [backup-simplify]: Simplify 0 into 0
7.519 * [backup-simplify]: Simplify 1 into 1
7.519 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
7.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.520 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
7.521 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow p 2))
7.521 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p
7.521 * [taylor]: Taking taylor expansion of 2.0 in p
7.521 * [backup-simplify]: Simplify 2.0 into 2.0
7.521 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.521 * [taylor]: Taking taylor expansion of p in p
7.521 * [backup-simplify]: Simplify 0 into 0
7.521 * [backup-simplify]: Simplify 1 into 1
7.522 * [backup-simplify]: Simplify (* 1 1) into 1
7.522 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
7.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
7.523 * [backup-simplify]: Simplify 0 into 0
7.523 * [backup-simplify]: Simplify 0 into 0
7.523 * [backup-simplify]: Simplify 0 into 0
7.523 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
7.524 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
7.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.525 * [backup-simplify]: Simplify (+ 0 0) into 0
7.525 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow p 2)))))) (* 2 1)) into 0
7.525 * [taylor]: Taking taylor expansion of 0 in p
7.525 * [backup-simplify]: Simplify 0 into 0
7.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.526 * [backup-simplify]: Simplify 0 into 0
7.526 * [backup-simplify]: Simplify 0 into 0
7.527 * [backup-simplify]: Simplify 0 into 0
7.527 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
7.527 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4.0 (/ 1 (- p)))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
7.527 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
7.527 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
7.527 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
7.527 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
7.527 * [taylor]: Taking taylor expansion of 4.0 in p
7.527 * [backup-simplify]: Simplify 4.0 into 4.0
7.527 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
7.527 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.527 * [taylor]: Taking taylor expansion of p in p
7.527 * [backup-simplify]: Simplify 0 into 0
7.527 * [backup-simplify]: Simplify 1 into 1
7.527 * [backup-simplify]: Simplify (* 1 1) into 1
7.527 * [backup-simplify]: Simplify (/ 1 1) into 1
7.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
7.528 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.528 * [taylor]: Taking taylor expansion of x in p
7.528 * [backup-simplify]: Simplify x into x
7.528 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.528 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.528 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
7.528 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
7.529 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
7.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.530 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
7.530 * [backup-simplify]: Simplify (+ 0 0) into 0
7.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
7.530 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.530 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.531 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
7.531 * [taylor]: Taking taylor expansion of 4.0 in x
7.531 * [backup-simplify]: Simplify 4.0 into 4.0
7.531 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.531 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.531 * [taylor]: Taking taylor expansion of p in x
7.531 * [backup-simplify]: Simplify p into p
7.531 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.531 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.531 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.531 * [taylor]: Taking taylor expansion of x in x
7.531 * [backup-simplify]: Simplify 0 into 0
7.531 * [backup-simplify]: Simplify 1 into 1
7.531 * [backup-simplify]: Simplify (* 1 1) into 1
7.534 * [backup-simplify]: Simplify (/ 1 1) into 1
7.535 * [backup-simplify]: Simplify (+ 0 1) into 1
7.535 * [backup-simplify]: Simplify (sqrt 1) into 1
7.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.536 * [backup-simplify]: Simplify (+ 0 0) into 0
7.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.536 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.536 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.536 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
7.536 * [taylor]: Taking taylor expansion of 4.0 in x
7.536 * [backup-simplify]: Simplify 4.0 into 4.0
7.536 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.536 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.536 * [taylor]: Taking taylor expansion of p in x
7.536 * [backup-simplify]: Simplify p into p
7.537 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.537 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.537 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.537 * [taylor]: Taking taylor expansion of x in x
7.537 * [backup-simplify]: Simplify 0 into 0
7.537 * [backup-simplify]: Simplify 1 into 1
7.537 * [backup-simplify]: Simplify (* 1 1) into 1
7.537 * [backup-simplify]: Simplify (/ 1 1) into 1
7.538 * [backup-simplify]: Simplify (+ 0 1) into 1
7.538 * [backup-simplify]: Simplify (sqrt 1) into 1
7.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.539 * [backup-simplify]: Simplify (+ 0 0) into 0
7.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.539 * [taylor]: Taking taylor expansion of 1 in p
7.539 * [backup-simplify]: Simplify 1 into 1
7.539 * [taylor]: Taking taylor expansion of 0 in p
7.539 * [backup-simplify]: Simplify 0 into 0
7.539 * [backup-simplify]: Simplify 1 into 1
7.540 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
7.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.541 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
7.542 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow p 2))
7.542 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p
7.542 * [taylor]: Taking taylor expansion of 2.0 in p
7.542 * [backup-simplify]: Simplify 2.0 into 2.0
7.542 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.542 * [taylor]: Taking taylor expansion of p in p
7.542 * [backup-simplify]: Simplify 0 into 0
7.542 * [backup-simplify]: Simplify 1 into 1
7.542 * [backup-simplify]: Simplify (* 1 1) into 1
7.542 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
7.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
7.543 * [backup-simplify]: Simplify 0 into 0
7.543 * [backup-simplify]: Simplify 0 into 0
7.543 * [backup-simplify]: Simplify 0 into 0
7.543 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
7.544 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
7.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.545 * [backup-simplify]: Simplify (+ 0 0) into 0
7.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow p 2)))))) (* 2 1)) into 0
7.546 * [taylor]: Taking taylor expansion of 0 in p
7.546 * [backup-simplify]: Simplify 0 into 0
7.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.547 * [backup-simplify]: Simplify 0 into 0
7.547 * [backup-simplify]: Simplify 0 into 0
7.547 * [backup-simplify]: Simplify 0 into 0
7.547 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
7.547 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 1 2 2 1 1)
7.547 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* 4.0 p)))) into (sqrt (+ (pow x 2) (* 4.0 (pow p 2))))
7.547 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (x p) around 0
7.547 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p
7.547 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p
7.547 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.547 * [taylor]: Taking taylor expansion of x in p
7.547 * [backup-simplify]: Simplify x into x
7.547 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p
7.547 * [taylor]: Taking taylor expansion of 4.0 in p
7.547 * [backup-simplify]: Simplify 4.0 into 4.0
7.547 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.547 * [taylor]: Taking taylor expansion of p in p
7.547 * [backup-simplify]: Simplify 0 into 0
7.547 * [backup-simplify]: Simplify 1 into 1
7.547 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.547 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.547 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
7.548 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.548 * [backup-simplify]: Simplify (+ 0 0) into 0
7.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
7.548 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
7.548 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
7.548 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.548 * [taylor]: Taking taylor expansion of x in x
7.548 * [backup-simplify]: Simplify 0 into 0
7.548 * [backup-simplify]: Simplify 1 into 1
7.548 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
7.548 * [taylor]: Taking taylor expansion of 4.0 in x
7.548 * [backup-simplify]: Simplify 4.0 into 4.0
7.548 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.548 * [taylor]: Taking taylor expansion of p in x
7.548 * [backup-simplify]: Simplify p into p
7.548 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.548 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
7.548 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
7.548 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
7.548 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.549 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
7.549 * [backup-simplify]: Simplify (+ 0 0) into 0
7.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
7.549 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
7.549 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
7.549 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.549 * [taylor]: Taking taylor expansion of x in x
7.549 * [backup-simplify]: Simplify 0 into 0
7.549 * [backup-simplify]: Simplify 1 into 1
7.549 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
7.549 * [taylor]: Taking taylor expansion of 4.0 in x
7.549 * [backup-simplify]: Simplify 4.0 into 4.0
7.549 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.549 * [taylor]: Taking taylor expansion of p in x
7.549 * [backup-simplify]: Simplify p into p
7.549 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.550 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
7.550 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
7.550 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
7.550 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.550 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
7.550 * [backup-simplify]: Simplify (+ 0 0) into 0
7.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
7.551 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p
7.551 * [taylor]: Taking taylor expansion of p in p
7.551 * [backup-simplify]: Simplify 0 into 0
7.551 * [backup-simplify]: Simplify 1 into 1
7.551 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p
7.551 * [taylor]: Taking taylor expansion of 4.0 in p
7.551 * [backup-simplify]: Simplify 4.0 into 4.0
7.551 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
7.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
7.552 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
7.552 * [backup-simplify]: Simplify 0 into 0
7.552 * [taylor]: Taking taylor expansion of 0 in p
7.552 * [backup-simplify]: Simplify 0 into 0
7.552 * [backup-simplify]: Simplify 0 into 0
7.553 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
7.553 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
7.554 * [backup-simplify]: Simplify (* 1 1) into 1
7.554 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
7.554 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
7.555 * [backup-simplify]: Simplify (+ 1 0) into 1
7.555 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* p (sqrt 4.0)))) into (/ 1/2 (* p (sqrt 4.0)))
7.555 * [taylor]: Taking taylor expansion of (/ 1/2 (* p (sqrt 4.0))) in p
7.555 * [taylor]: Taking taylor expansion of 1/2 in p
7.555 * [backup-simplify]: Simplify 1/2 into 1/2
7.555 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p
7.555 * [taylor]: Taking taylor expansion of p in p
7.555 * [backup-simplify]: Simplify 0 into 0
7.555 * [backup-simplify]: Simplify 1 into 1
7.555 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p
7.556 * [taylor]: Taking taylor expansion of 4.0 in p
7.556 * [backup-simplify]: Simplify 4.0 into 4.0
7.556 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
7.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
7.557 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
7.558 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
7.558 * [backup-simplify]: Simplify (/ 1/2 (sqrt 4.0)) into (/ 1/2 (sqrt 4.0))
7.559 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
7.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
7.560 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))))) into 0
7.560 * [backup-simplify]: Simplify 0 into 0
7.560 * [backup-simplify]: Simplify 0 into 0
7.561 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
7.562 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
7.562 * [backup-simplify]: Simplify 0 into 0
7.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.563 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
7.563 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
7.564 * [backup-simplify]: Simplify (+ 0 0) into 0
7.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* p (sqrt 4.0))))))) (* 2 (* p (sqrt 4.0)))) into 0
7.564 * [taylor]: Taking taylor expansion of 0 in p
7.564 * [backup-simplify]: Simplify 0 into 0
7.564 * [backup-simplify]: Simplify 0 into 0
7.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4.0))) into 0
7.566 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 4.0))))) into 0
7.566 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))) (* 0 (/ 0 (sqrt 4.0))))) into 0
7.566 * [backup-simplify]: Simplify 0 into 0
7.567 * [backup-simplify]: Simplify 0 into 0
7.567 * [backup-simplify]: Simplify (* (sqrt 4.0) (* p 1)) into (* p (sqrt 4.0))
7.567 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4.0 (/ 1 p))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
7.567 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
7.567 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
7.567 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
7.567 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
7.567 * [taylor]: Taking taylor expansion of 4.0 in p
7.567 * [backup-simplify]: Simplify 4.0 into 4.0
7.567 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
7.567 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.567 * [taylor]: Taking taylor expansion of p in p
7.567 * [backup-simplify]: Simplify 0 into 0
7.567 * [backup-simplify]: Simplify 1 into 1
7.567 * [backup-simplify]: Simplify (* 1 1) into 1
7.568 * [backup-simplify]: Simplify (/ 1 1) into 1
7.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
7.568 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.568 * [taylor]: Taking taylor expansion of x in p
7.568 * [backup-simplify]: Simplify x into x
7.568 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.568 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.568 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
7.569 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
7.569 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
7.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.570 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
7.570 * [backup-simplify]: Simplify (+ 0 0) into 0
7.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
7.571 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.571 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.571 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
7.571 * [taylor]: Taking taylor expansion of 4.0 in x
7.571 * [backup-simplify]: Simplify 4.0 into 4.0
7.571 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.571 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.571 * [taylor]: Taking taylor expansion of p in x
7.571 * [backup-simplify]: Simplify p into p
7.571 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.571 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.571 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.571 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.571 * [taylor]: Taking taylor expansion of x in x
7.571 * [backup-simplify]: Simplify 0 into 0
7.571 * [backup-simplify]: Simplify 1 into 1
7.571 * [backup-simplify]: Simplify (* 1 1) into 1
7.572 * [backup-simplify]: Simplify (/ 1 1) into 1
7.572 * [backup-simplify]: Simplify (+ 0 1) into 1
7.572 * [backup-simplify]: Simplify (sqrt 1) into 1
7.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.573 * [backup-simplify]: Simplify (+ 0 0) into 0
7.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.574 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.574 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.574 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
7.574 * [taylor]: Taking taylor expansion of 4.0 in x
7.574 * [backup-simplify]: Simplify 4.0 into 4.0
7.574 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.574 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.574 * [taylor]: Taking taylor expansion of p in x
7.574 * [backup-simplify]: Simplify p into p
7.574 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.574 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.574 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.574 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.574 * [taylor]: Taking taylor expansion of x in x
7.574 * [backup-simplify]: Simplify 0 into 0
7.574 * [backup-simplify]: Simplify 1 into 1
7.574 * [backup-simplify]: Simplify (* 1 1) into 1
7.575 * [backup-simplify]: Simplify (/ 1 1) into 1
7.575 * [backup-simplify]: Simplify (+ 0 1) into 1
7.575 * [backup-simplify]: Simplify (sqrt 1) into 1
7.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.576 * [backup-simplify]: Simplify (+ 0 0) into 0
7.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.577 * [taylor]: Taking taylor expansion of 1 in p
7.577 * [backup-simplify]: Simplify 1 into 1
7.577 * [taylor]: Taking taylor expansion of 0 in p
7.577 * [backup-simplify]: Simplify 0 into 0
7.577 * [backup-simplify]: Simplify 1 into 1
7.577 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
7.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.578 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
7.579 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow p 2))
7.579 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p
7.579 * [taylor]: Taking taylor expansion of 2.0 in p
7.579 * [backup-simplify]: Simplify 2.0 into 2.0
7.579 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.579 * [taylor]: Taking taylor expansion of p in p
7.579 * [backup-simplify]: Simplify 0 into 0
7.579 * [backup-simplify]: Simplify 1 into 1
7.579 * [backup-simplify]: Simplify (* 1 1) into 1
7.580 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
7.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
7.581 * [backup-simplify]: Simplify 0 into 0
7.581 * [backup-simplify]: Simplify 0 into 0
7.581 * [backup-simplify]: Simplify 0 into 0
7.581 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
7.581 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
7.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.583 * [backup-simplify]: Simplify (+ 0 0) into 0
7.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow p 2)))))) (* 2 1)) into 0
7.583 * [taylor]: Taking taylor expansion of 0 in p
7.583 * [backup-simplify]: Simplify 0 into 0
7.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.585 * [backup-simplify]: Simplify 0 into 0
7.585 * [backup-simplify]: Simplify 0 into 0
7.585 * [backup-simplify]: Simplify 0 into 0
7.585 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
7.585 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4.0 (/ 1 (- p)))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
7.585 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
7.585 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
7.585 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
7.585 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
7.585 * [taylor]: Taking taylor expansion of 4.0 in p
7.585 * [backup-simplify]: Simplify 4.0 into 4.0
7.585 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
7.585 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.585 * [taylor]: Taking taylor expansion of p in p
7.585 * [backup-simplify]: Simplify 0 into 0
7.585 * [backup-simplify]: Simplify 1 into 1
7.586 * [backup-simplify]: Simplify (* 1 1) into 1
7.586 * [backup-simplify]: Simplify (/ 1 1) into 1
7.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
7.586 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.586 * [taylor]: Taking taylor expansion of x in p
7.586 * [backup-simplify]: Simplify x into x
7.586 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.586 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.586 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
7.587 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
7.587 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
7.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.588 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
7.589 * [backup-simplify]: Simplify (+ 0 0) into 0
7.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
7.589 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.589 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.589 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
7.589 * [taylor]: Taking taylor expansion of 4.0 in x
7.589 * [backup-simplify]: Simplify 4.0 into 4.0
7.589 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.589 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.589 * [taylor]: Taking taylor expansion of p in x
7.589 * [backup-simplify]: Simplify p into p
7.589 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.589 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.589 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.589 * [taylor]: Taking taylor expansion of x in x
7.589 * [backup-simplify]: Simplify 0 into 0
7.589 * [backup-simplify]: Simplify 1 into 1
7.590 * [backup-simplify]: Simplify (* 1 1) into 1
7.590 * [backup-simplify]: Simplify (/ 1 1) into 1
7.590 * [backup-simplify]: Simplify (+ 0 1) into 1
7.590 * [backup-simplify]: Simplify (sqrt 1) into 1
7.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.592 * [backup-simplify]: Simplify (+ 0 0) into 0
7.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.592 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.592 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.592 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
7.592 * [taylor]: Taking taylor expansion of 4.0 in x
7.592 * [backup-simplify]: Simplify 4.0 into 4.0
7.592 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.592 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.592 * [taylor]: Taking taylor expansion of p in x
7.592 * [backup-simplify]: Simplify p into p
7.592 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.593 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.593 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.593 * [taylor]: Taking taylor expansion of x in x
7.593 * [backup-simplify]: Simplify 0 into 0
7.593 * [backup-simplify]: Simplify 1 into 1
7.593 * [backup-simplify]: Simplify (* 1 1) into 1
7.593 * [backup-simplify]: Simplify (/ 1 1) into 1
7.593 * [backup-simplify]: Simplify (+ 0 1) into 1
7.594 * [backup-simplify]: Simplify (sqrt 1) into 1
7.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.595 * [backup-simplify]: Simplify (+ 0 0) into 0
7.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.595 * [taylor]: Taking taylor expansion of 1 in p
7.595 * [backup-simplify]: Simplify 1 into 1
7.595 * [taylor]: Taking taylor expansion of 0 in p
7.595 * [backup-simplify]: Simplify 0 into 0
7.595 * [backup-simplify]: Simplify 1 into 1
7.595 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
7.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.597 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
7.598 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow p 2))
7.598 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p
7.598 * [taylor]: Taking taylor expansion of 2.0 in p
7.598 * [backup-simplify]: Simplify 2.0 into 2.0
7.598 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.598 * [taylor]: Taking taylor expansion of p in p
7.598 * [backup-simplify]: Simplify 0 into 0
7.598 * [backup-simplify]: Simplify 1 into 1
7.598 * [backup-simplify]: Simplify (* 1 1) into 1
7.598 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
7.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
7.599 * [backup-simplify]: Simplify 0 into 0
7.599 * [backup-simplify]: Simplify 0 into 0
7.599 * [backup-simplify]: Simplify 0 into 0
7.599 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
7.600 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
7.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.602 * [backup-simplify]: Simplify (+ 0 0) into 0
7.602 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow p 2)))))) (* 2 1)) into 0
7.602 * [taylor]: Taking taylor expansion of 0 in p
7.602 * [backup-simplify]: Simplify 0 into 0
7.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.604 * [backup-simplify]: Simplify 0 into 0
7.604 * [backup-simplify]: Simplify 0 into 0
7.604 * [backup-simplify]: Simplify 0 into 0
7.604 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
7.604 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1 1 2 1 1 2 1 1)
7.604 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* 4.0 p)))) into (sqrt (+ (pow x 2) (* 4.0 (pow p 2))))
7.604 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (x p) around 0
7.604 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p
7.604 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p
7.604 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.604 * [taylor]: Taking taylor expansion of x in p
7.604 * [backup-simplify]: Simplify x into x
7.604 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p
7.604 * [taylor]: Taking taylor expansion of 4.0 in p
7.604 * [backup-simplify]: Simplify 4.0 into 4.0
7.604 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.604 * [taylor]: Taking taylor expansion of p in p
7.604 * [backup-simplify]: Simplify 0 into 0
7.604 * [backup-simplify]: Simplify 1 into 1
7.605 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.605 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.605 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
7.605 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.605 * [backup-simplify]: Simplify (+ 0 0) into 0
7.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
7.605 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
7.605 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
7.605 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.605 * [taylor]: Taking taylor expansion of x in x
7.605 * [backup-simplify]: Simplify 0 into 0
7.605 * [backup-simplify]: Simplify 1 into 1
7.605 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
7.605 * [taylor]: Taking taylor expansion of 4.0 in x
7.605 * [backup-simplify]: Simplify 4.0 into 4.0
7.605 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.605 * [taylor]: Taking taylor expansion of p in x
7.605 * [backup-simplify]: Simplify p into p
7.606 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.606 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
7.606 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
7.606 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
7.606 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.606 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
7.607 * [backup-simplify]: Simplify (+ 0 0) into 0
7.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
7.607 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
7.607 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
7.607 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.607 * [taylor]: Taking taylor expansion of x in x
7.607 * [backup-simplify]: Simplify 0 into 0
7.607 * [backup-simplify]: Simplify 1 into 1
7.607 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
7.607 * [taylor]: Taking taylor expansion of 4.0 in x
7.607 * [backup-simplify]: Simplify 4.0 into 4.0
7.607 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.607 * [taylor]: Taking taylor expansion of p in x
7.607 * [backup-simplify]: Simplify p into p
7.607 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.607 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
7.607 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
7.607 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
7.607 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.608 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
7.608 * [backup-simplify]: Simplify (+ 0 0) into 0
7.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
7.608 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p
7.608 * [taylor]: Taking taylor expansion of p in p
7.608 * [backup-simplify]: Simplify 0 into 0
7.608 * [backup-simplify]: Simplify 1 into 1
7.608 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p
7.608 * [taylor]: Taking taylor expansion of 4.0 in p
7.608 * [backup-simplify]: Simplify 4.0 into 4.0
7.608 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
7.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
7.609 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
7.609 * [backup-simplify]: Simplify 0 into 0
7.609 * [taylor]: Taking taylor expansion of 0 in p
7.609 * [backup-simplify]: Simplify 0 into 0
7.609 * [backup-simplify]: Simplify 0 into 0
7.610 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
7.611 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
7.611 * [backup-simplify]: Simplify (* 1 1) into 1
7.611 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
7.612 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
7.612 * [backup-simplify]: Simplify (+ 1 0) into 1
7.613 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* p (sqrt 4.0)))) into (/ 1/2 (* p (sqrt 4.0)))
7.613 * [taylor]: Taking taylor expansion of (/ 1/2 (* p (sqrt 4.0))) in p
7.613 * [taylor]: Taking taylor expansion of 1/2 in p
7.613 * [backup-simplify]: Simplify 1/2 into 1/2
7.613 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p
7.613 * [taylor]: Taking taylor expansion of p in p
7.613 * [backup-simplify]: Simplify 0 into 0
7.613 * [backup-simplify]: Simplify 1 into 1
7.613 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p
7.613 * [taylor]: Taking taylor expansion of 4.0 in p
7.613 * [backup-simplify]: Simplify 4.0 into 4.0
7.613 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
7.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
7.614 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
7.615 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
7.616 * [backup-simplify]: Simplify (/ 1/2 (sqrt 4.0)) into (/ 1/2 (sqrt 4.0))
7.616 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
7.617 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
7.618 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))))) into 0
7.618 * [backup-simplify]: Simplify 0 into 0
7.618 * [backup-simplify]: Simplify 0 into 0
7.618 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
7.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
7.619 * [backup-simplify]: Simplify 0 into 0
7.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.620 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
7.621 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
7.621 * [backup-simplify]: Simplify (+ 0 0) into 0
7.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* p (sqrt 4.0))))))) (* 2 (* p (sqrt 4.0)))) into 0
7.621 * [taylor]: Taking taylor expansion of 0 in p
7.622 * [backup-simplify]: Simplify 0 into 0
7.622 * [backup-simplify]: Simplify 0 into 0
7.622 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4.0))) into 0
7.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 4.0))))) into 0
7.624 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))) (* 0 (/ 0 (sqrt 4.0))))) into 0
7.624 * [backup-simplify]: Simplify 0 into 0
7.624 * [backup-simplify]: Simplify 0 into 0
7.624 * [backup-simplify]: Simplify (* (sqrt 4.0) (* p 1)) into (* p (sqrt 4.0))
7.624 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4.0 (/ 1 p))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
7.624 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
7.624 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
7.624 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
7.624 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
7.624 * [taylor]: Taking taylor expansion of 4.0 in p
7.624 * [backup-simplify]: Simplify 4.0 into 4.0
7.624 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
7.624 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.624 * [taylor]: Taking taylor expansion of p in p
7.624 * [backup-simplify]: Simplify 0 into 0
7.624 * [backup-simplify]: Simplify 1 into 1
7.625 * [backup-simplify]: Simplify (* 1 1) into 1
7.628 * [backup-simplify]: Simplify (/ 1 1) into 1
7.628 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
7.628 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.628 * [taylor]: Taking taylor expansion of x in p
7.628 * [backup-simplify]: Simplify x into x
7.628 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.628 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.629 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
7.629 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
7.629 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
7.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.631 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
7.631 * [backup-simplify]: Simplify (+ 0 0) into 0
7.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
7.631 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.631 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.631 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
7.631 * [taylor]: Taking taylor expansion of 4.0 in x
7.632 * [backup-simplify]: Simplify 4.0 into 4.0
7.632 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.632 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.632 * [taylor]: Taking taylor expansion of p in x
7.632 * [backup-simplify]: Simplify p into p
7.632 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.632 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.632 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.632 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.632 * [taylor]: Taking taylor expansion of x in x
7.632 * [backup-simplify]: Simplify 0 into 0
7.632 * [backup-simplify]: Simplify 1 into 1
7.632 * [backup-simplify]: Simplify (* 1 1) into 1
7.632 * [backup-simplify]: Simplify (/ 1 1) into 1
7.633 * [backup-simplify]: Simplify (+ 0 1) into 1
7.633 * [backup-simplify]: Simplify (sqrt 1) into 1
7.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.634 * [backup-simplify]: Simplify (+ 0 0) into 0
7.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.635 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.635 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.635 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
7.635 * [taylor]: Taking taylor expansion of 4.0 in x
7.635 * [backup-simplify]: Simplify 4.0 into 4.0
7.635 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.635 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.635 * [taylor]: Taking taylor expansion of p in x
7.635 * [backup-simplify]: Simplify p into p
7.635 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.635 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.635 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.635 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.635 * [taylor]: Taking taylor expansion of x in x
7.635 * [backup-simplify]: Simplify 0 into 0
7.635 * [backup-simplify]: Simplify 1 into 1
7.636 * [backup-simplify]: Simplify (* 1 1) into 1
7.636 * [backup-simplify]: Simplify (/ 1 1) into 1
7.636 * [backup-simplify]: Simplify (+ 0 1) into 1
7.636 * [backup-simplify]: Simplify (sqrt 1) into 1
7.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.637 * [backup-simplify]: Simplify (+ 0 0) into 0
7.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.638 * [taylor]: Taking taylor expansion of 1 in p
7.638 * [backup-simplify]: Simplify 1 into 1
7.638 * [taylor]: Taking taylor expansion of 0 in p
7.638 * [backup-simplify]: Simplify 0 into 0
7.638 * [backup-simplify]: Simplify 1 into 1
7.638 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
7.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.639 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
7.640 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow p 2))
7.640 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p
7.640 * [taylor]: Taking taylor expansion of 2.0 in p
7.640 * [backup-simplify]: Simplify 2.0 into 2.0
7.640 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.640 * [taylor]: Taking taylor expansion of p in p
7.640 * [backup-simplify]: Simplify 0 into 0
7.640 * [backup-simplify]: Simplify 1 into 1
7.640 * [backup-simplify]: Simplify (* 1 1) into 1
7.641 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
7.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
7.642 * [backup-simplify]: Simplify 0 into 0
7.642 * [backup-simplify]: Simplify 0 into 0
7.642 * [backup-simplify]: Simplify 0 into 0
7.642 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
7.643 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
7.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.644 * [backup-simplify]: Simplify (+ 0 0) into 0
7.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow p 2)))))) (* 2 1)) into 0
7.644 * [taylor]: Taking taylor expansion of 0 in p
7.644 * [backup-simplify]: Simplify 0 into 0
7.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.646 * [backup-simplify]: Simplify 0 into 0
7.646 * [backup-simplify]: Simplify 0 into 0
7.646 * [backup-simplify]: Simplify 0 into 0
7.646 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
7.646 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4.0 (/ 1 (- p)))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
7.646 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
7.646 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
7.646 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
7.646 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
7.646 * [taylor]: Taking taylor expansion of 4.0 in p
7.646 * [backup-simplify]: Simplify 4.0 into 4.0
7.646 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
7.646 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.646 * [taylor]: Taking taylor expansion of p in p
7.646 * [backup-simplify]: Simplify 0 into 0
7.646 * [backup-simplify]: Simplify 1 into 1
7.646 * [backup-simplify]: Simplify (* 1 1) into 1
7.647 * [backup-simplify]: Simplify (/ 1 1) into 1
7.647 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
7.647 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.647 * [taylor]: Taking taylor expansion of x in p
7.647 * [backup-simplify]: Simplify x into x
7.647 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.647 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.647 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
7.647 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
7.648 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
7.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.649 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
7.649 * [backup-simplify]: Simplify (+ 0 0) into 0
7.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
7.649 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.650 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.650 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
7.650 * [taylor]: Taking taylor expansion of 4.0 in x
7.650 * [backup-simplify]: Simplify 4.0 into 4.0
7.650 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.650 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.650 * [taylor]: Taking taylor expansion of p in x
7.650 * [backup-simplify]: Simplify p into p
7.650 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.650 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.650 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.650 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.650 * [taylor]: Taking taylor expansion of x in x
7.650 * [backup-simplify]: Simplify 0 into 0
7.650 * [backup-simplify]: Simplify 1 into 1
7.650 * [backup-simplify]: Simplify (* 1 1) into 1
7.650 * [backup-simplify]: Simplify (/ 1 1) into 1
7.651 * [backup-simplify]: Simplify (+ 0 1) into 1
7.651 * [backup-simplify]: Simplify (sqrt 1) into 1
7.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.652 * [backup-simplify]: Simplify (+ 0 0) into 0
7.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.652 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.652 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.652 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
7.652 * [taylor]: Taking taylor expansion of 4.0 in x
7.652 * [backup-simplify]: Simplify 4.0 into 4.0
7.652 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.652 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.652 * [taylor]: Taking taylor expansion of p in x
7.653 * [backup-simplify]: Simplify p into p
7.653 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.653 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.653 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.653 * [taylor]: Taking taylor expansion of x in x
7.653 * [backup-simplify]: Simplify 0 into 0
7.653 * [backup-simplify]: Simplify 1 into 1
7.653 * [backup-simplify]: Simplify (* 1 1) into 1
7.653 * [backup-simplify]: Simplify (/ 1 1) into 1
7.654 * [backup-simplify]: Simplify (+ 0 1) into 1
7.654 * [backup-simplify]: Simplify (sqrt 1) into 1
7.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.655 * [backup-simplify]: Simplify (+ 0 0) into 0
7.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.655 * [taylor]: Taking taylor expansion of 1 in p
7.655 * [backup-simplify]: Simplify 1 into 1
7.655 * [taylor]: Taking taylor expansion of 0 in p
7.655 * [backup-simplify]: Simplify 0 into 0
7.655 * [backup-simplify]: Simplify 1 into 1
7.655 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
7.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.657 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
7.657 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow p 2))
7.658 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p
7.658 * [taylor]: Taking taylor expansion of 2.0 in p
7.658 * [backup-simplify]: Simplify 2.0 into 2.0
7.658 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.658 * [taylor]: Taking taylor expansion of p in p
7.658 * [backup-simplify]: Simplify 0 into 0
7.658 * [backup-simplify]: Simplify 1 into 1
7.658 * [backup-simplify]: Simplify (* 1 1) into 1
7.658 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
7.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
7.659 * [backup-simplify]: Simplify 0 into 0
7.659 * [backup-simplify]: Simplify 0 into 0
7.659 * [backup-simplify]: Simplify 0 into 0
7.659 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
7.660 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
7.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.661 * [backup-simplify]: Simplify (+ 0 0) into 0
7.661 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow p 2)))))) (* 2 1)) into 0
7.662 * [taylor]: Taking taylor expansion of 0 in p
7.662 * [backup-simplify]: Simplify 0 into 0
7.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.663 * [backup-simplify]: Simplify 0 into 0
7.663 * [backup-simplify]: Simplify 0 into 0
7.663 * [backup-simplify]: Simplify 0 into 0
7.663 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
7.663 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1 1 2 1 1 1 1 1)
7.663 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* 4.0 p)))) into (sqrt (+ (pow x 2) (* 4.0 (pow p 2))))
7.663 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in (x p) around 0
7.663 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in p
7.663 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in p
7.663 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.663 * [taylor]: Taking taylor expansion of x in p
7.663 * [backup-simplify]: Simplify x into x
7.663 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in p
7.663 * [taylor]: Taking taylor expansion of 4.0 in p
7.663 * [backup-simplify]: Simplify 4.0 into 4.0
7.663 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.663 * [taylor]: Taking taylor expansion of p in p
7.663 * [backup-simplify]: Simplify 0 into 0
7.663 * [backup-simplify]: Simplify 1 into 1
7.663 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.663 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.664 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
7.664 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.664 * [backup-simplify]: Simplify (+ 0 0) into 0
7.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
7.664 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
7.664 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
7.664 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.664 * [taylor]: Taking taylor expansion of x in x
7.664 * [backup-simplify]: Simplify 0 into 0
7.664 * [backup-simplify]: Simplify 1 into 1
7.664 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
7.664 * [taylor]: Taking taylor expansion of 4.0 in x
7.664 * [backup-simplify]: Simplify 4.0 into 4.0
7.664 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.664 * [taylor]: Taking taylor expansion of p in x
7.664 * [backup-simplify]: Simplify p into p
7.664 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.664 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
7.664 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
7.665 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
7.665 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.665 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
7.665 * [backup-simplify]: Simplify (+ 0 0) into 0
7.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
7.666 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow p 2)))) in x
7.666 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow p 2))) in x
7.666 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.666 * [taylor]: Taking taylor expansion of x in x
7.666 * [backup-simplify]: Simplify 0 into 0
7.666 * [backup-simplify]: Simplify 1 into 1
7.666 * [taylor]: Taking taylor expansion of (* 4.0 (pow p 2)) in x
7.666 * [taylor]: Taking taylor expansion of 4.0 in x
7.666 * [backup-simplify]: Simplify 4.0 into 4.0
7.666 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.666 * [taylor]: Taking taylor expansion of p in x
7.666 * [backup-simplify]: Simplify p into p
7.666 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.666 * [backup-simplify]: Simplify (* 4.0 (pow p 2)) into (* 4.0 (pow p 2))
7.666 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow p 2))) into (* 4.0 (pow p 2))
7.666 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow p 2))) into (* p (sqrt 4.0))
7.666 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.666 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow p 2))) into 0
7.667 * [backup-simplify]: Simplify (+ 0 0) into 0
7.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow p 2))))) into 0
7.667 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p
7.667 * [taylor]: Taking taylor expansion of p in p
7.667 * [backup-simplify]: Simplify 0 into 0
7.667 * [backup-simplify]: Simplify 1 into 1
7.667 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p
7.667 * [taylor]: Taking taylor expansion of 4.0 in p
7.667 * [backup-simplify]: Simplify 4.0 into 4.0
7.667 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
7.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
7.668 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
7.668 * [backup-simplify]: Simplify 0 into 0
7.668 * [taylor]: Taking taylor expansion of 0 in p
7.668 * [backup-simplify]: Simplify 0 into 0
7.668 * [backup-simplify]: Simplify 0 into 0
7.669 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
7.670 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
7.670 * [backup-simplify]: Simplify (* 1 1) into 1
7.670 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
7.671 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
7.671 * [backup-simplify]: Simplify (+ 1 0) into 1
7.672 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* p (sqrt 4.0)))) into (/ 1/2 (* p (sqrt 4.0)))
7.672 * [taylor]: Taking taylor expansion of (/ 1/2 (* p (sqrt 4.0))) in p
7.672 * [taylor]: Taking taylor expansion of 1/2 in p
7.672 * [backup-simplify]: Simplify 1/2 into 1/2
7.672 * [taylor]: Taking taylor expansion of (* p (sqrt 4.0)) in p
7.672 * [taylor]: Taking taylor expansion of p in p
7.672 * [backup-simplify]: Simplify 0 into 0
7.672 * [backup-simplify]: Simplify 1 into 1
7.672 * [taylor]: Taking taylor expansion of (sqrt 4.0) in p
7.672 * [taylor]: Taking taylor expansion of 4.0 in p
7.672 * [backup-simplify]: Simplify 4.0 into 4.0
7.672 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
7.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
7.673 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0
7.674 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0)
7.675 * [backup-simplify]: Simplify (/ 1/2 (sqrt 4.0)) into (/ 1/2 (sqrt 4.0))
7.675 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
7.676 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
7.676 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))))) into 0
7.676 * [backup-simplify]: Simplify 0 into 0
7.677 * [backup-simplify]: Simplify 0 into 0
7.677 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0
7.678 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0
7.678 * [backup-simplify]: Simplify 0 into 0
7.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.679 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
7.680 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
7.680 * [backup-simplify]: Simplify (+ 0 0) into 0
7.680 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* p (sqrt 4.0))))))) (* 2 (* p (sqrt 4.0)))) into 0
7.680 * [taylor]: Taking taylor expansion of 0 in p
7.680 * [backup-simplify]: Simplify 0 into 0
7.680 * [backup-simplify]: Simplify 0 into 0
7.681 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4.0))) into 0
7.682 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 4.0))))) into 0
7.683 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))) (* 0 (/ 0 (sqrt 4.0))))) into 0
7.683 * [backup-simplify]: Simplify 0 into 0
7.683 * [backup-simplify]: Simplify 0 into 0
7.683 * [backup-simplify]: Simplify (* (sqrt 4.0) (* p 1)) into (* p (sqrt 4.0))
7.683 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4.0 (/ 1 p))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
7.683 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
7.683 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
7.683 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
7.683 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
7.683 * [taylor]: Taking taylor expansion of 4.0 in p
7.683 * [backup-simplify]: Simplify 4.0 into 4.0
7.683 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
7.683 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.683 * [taylor]: Taking taylor expansion of p in p
7.683 * [backup-simplify]: Simplify 0 into 0
7.683 * [backup-simplify]: Simplify 1 into 1
7.683 * [backup-simplify]: Simplify (* 1 1) into 1
7.684 * [backup-simplify]: Simplify (/ 1 1) into 1
7.684 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
7.684 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.684 * [taylor]: Taking taylor expansion of x in p
7.684 * [backup-simplify]: Simplify x into x
7.684 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.684 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.684 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
7.684 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
7.685 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
7.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.686 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
7.686 * [backup-simplify]: Simplify (+ 0 0) into 0
7.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
7.687 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.687 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.687 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
7.687 * [taylor]: Taking taylor expansion of 4.0 in x
7.687 * [backup-simplify]: Simplify 4.0 into 4.0
7.687 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.687 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.687 * [taylor]: Taking taylor expansion of p in x
7.687 * [backup-simplify]: Simplify p into p
7.687 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.687 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.687 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.687 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.687 * [taylor]: Taking taylor expansion of x in x
7.687 * [backup-simplify]: Simplify 0 into 0
7.687 * [backup-simplify]: Simplify 1 into 1
7.687 * [backup-simplify]: Simplify (* 1 1) into 1
7.688 * [backup-simplify]: Simplify (/ 1 1) into 1
7.688 * [backup-simplify]: Simplify (+ 0 1) into 1
7.688 * [backup-simplify]: Simplify (sqrt 1) into 1
7.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.689 * [backup-simplify]: Simplify (+ 0 0) into 0
7.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.690 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.690 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.690 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
7.690 * [taylor]: Taking taylor expansion of 4.0 in x
7.690 * [backup-simplify]: Simplify 4.0 into 4.0
7.690 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.690 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.690 * [taylor]: Taking taylor expansion of p in x
7.690 * [backup-simplify]: Simplify p into p
7.690 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.690 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.690 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.690 * [taylor]: Taking taylor expansion of x in x
7.690 * [backup-simplify]: Simplify 0 into 0
7.690 * [backup-simplify]: Simplify 1 into 1
7.690 * [backup-simplify]: Simplify (* 1 1) into 1
7.690 * [backup-simplify]: Simplify (/ 1 1) into 1
7.691 * [backup-simplify]: Simplify (+ 0 1) into 1
7.691 * [backup-simplify]: Simplify (sqrt 1) into 1
7.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.692 * [backup-simplify]: Simplify (+ 0 0) into 0
7.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.692 * [taylor]: Taking taylor expansion of 1 in p
7.692 * [backup-simplify]: Simplify 1 into 1
7.692 * [taylor]: Taking taylor expansion of 0 in p
7.693 * [backup-simplify]: Simplify 0 into 0
7.693 * [backup-simplify]: Simplify 1 into 1
7.693 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
7.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.694 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
7.695 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow p 2))
7.695 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p
7.695 * [taylor]: Taking taylor expansion of 2.0 in p
7.695 * [backup-simplify]: Simplify 2.0 into 2.0
7.695 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.695 * [taylor]: Taking taylor expansion of p in p
7.695 * [backup-simplify]: Simplify 0 into 0
7.695 * [backup-simplify]: Simplify 1 into 1
7.695 * [backup-simplify]: Simplify (* 1 1) into 1
7.696 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
7.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
7.697 * [backup-simplify]: Simplify 0 into 0
7.697 * [backup-simplify]: Simplify 0 into 0
7.697 * [backup-simplify]: Simplify 0 into 0
7.697 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
7.697 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
7.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.699 * [backup-simplify]: Simplify (+ 0 0) into 0
7.699 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow p 2)))))) (* 2 1)) into 0
7.699 * [taylor]: Taking taylor expansion of 0 in p
7.699 * [backup-simplify]: Simplify 0 into 0
7.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.700 * [backup-simplify]: Simplify 0 into 0
7.700 * [backup-simplify]: Simplify 0 into 0
7.700 * [backup-simplify]: Simplify 0 into 0
7.700 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
7.701 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4.0 (/ 1 (- p)))))) into (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
7.701 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
7.701 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
7.701 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
7.701 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in p
7.701 * [taylor]: Taking taylor expansion of 4.0 in p
7.701 * [backup-simplify]: Simplify 4.0 into 4.0
7.701 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
7.701 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.701 * [taylor]: Taking taylor expansion of p in p
7.701 * [backup-simplify]: Simplify 0 into 0
7.701 * [backup-simplify]: Simplify 1 into 1
7.701 * [backup-simplify]: Simplify (* 1 1) into 1
7.701 * [backup-simplify]: Simplify (/ 1 1) into 1
7.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
7.701 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.701 * [taylor]: Taking taylor expansion of x in p
7.701 * [backup-simplify]: Simplify x into x
7.701 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.702 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.702 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
7.702 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0
7.702 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0)
7.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.704 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
7.704 * [backup-simplify]: Simplify (+ 0 0) into 0
7.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
7.704 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.704 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.704 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
7.704 * [taylor]: Taking taylor expansion of 4.0 in x
7.704 * [backup-simplify]: Simplify 4.0 into 4.0
7.704 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.704 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.704 * [taylor]: Taking taylor expansion of p in x
7.704 * [backup-simplify]: Simplify p into p
7.705 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.705 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.705 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.705 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.705 * [taylor]: Taking taylor expansion of x in x
7.705 * [backup-simplify]: Simplify 0 into 0
7.705 * [backup-simplify]: Simplify 1 into 1
7.705 * [backup-simplify]: Simplify (* 1 1) into 1
7.705 * [backup-simplify]: Simplify (/ 1 1) into 1
7.705 * [backup-simplify]: Simplify (+ 0 1) into 1
7.706 * [backup-simplify]: Simplify (sqrt 1) into 1
7.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.707 * [backup-simplify]: Simplify (+ 0 0) into 0
7.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.707 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
7.707 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
7.707 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow p 2))) in x
7.707 * [taylor]: Taking taylor expansion of 4.0 in x
7.707 * [backup-simplify]: Simplify 4.0 into 4.0
7.707 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
7.707 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.707 * [taylor]: Taking taylor expansion of p in x
7.707 * [backup-simplify]: Simplify p into p
7.707 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.707 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
7.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.708 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.708 * [taylor]: Taking taylor expansion of x in x
7.708 * [backup-simplify]: Simplify 0 into 0
7.708 * [backup-simplify]: Simplify 1 into 1
7.708 * [backup-simplify]: Simplify (* 1 1) into 1
7.708 * [backup-simplify]: Simplify (/ 1 1) into 1
7.708 * [backup-simplify]: Simplify (+ 0 1) into 1
7.709 * [backup-simplify]: Simplify (sqrt 1) into 1
7.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.710 * [backup-simplify]: Simplify (+ 0 0) into 0
7.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.710 * [taylor]: Taking taylor expansion of 1 in p
7.710 * [backup-simplify]: Simplify 1 into 1
7.710 * [taylor]: Taking taylor expansion of 0 in p
7.710 * [backup-simplify]: Simplify 0 into 0
7.710 * [backup-simplify]: Simplify 1 into 1
7.710 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow p 2))) into (/ 4.0 (pow p 2))
7.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.712 * [backup-simplify]: Simplify (+ (/ 4.0 (pow p 2)) 0) into (* 4.0 (/ 1 (pow p 2)))
7.712 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow p 2))
7.712 * [taylor]: Taking taylor expansion of (/ 2.0 (pow p 2)) in p
7.713 * [taylor]: Taking taylor expansion of 2.0 in p
7.713 * [backup-simplify]: Simplify 2.0 into 2.0
7.713 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.713 * [taylor]: Taking taylor expansion of p in p
7.713 * [backup-simplify]: Simplify 0 into 0
7.713 * [backup-simplify]: Simplify 1 into 1
7.713 * [backup-simplify]: Simplify (* 1 1) into 1
7.713 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0
7.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0
7.714 * [backup-simplify]: Simplify 0 into 0
7.714 * [backup-simplify]: Simplify 0 into 0
7.714 * [backup-simplify]: Simplify 0 into 0
7.714 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
7.715 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow p 2)))) into 0
7.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.716 * [backup-simplify]: Simplify (+ 0 0) into 0
7.717 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow p 2)))))) (* 2 1)) into 0
7.717 * [taylor]: Taking taylor expansion of 0 in p
7.717 * [backup-simplify]: Simplify 0 into 0
7.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.718 * [backup-simplify]: Simplify 0 into 0
7.718 * [backup-simplify]: Simplify 0 into 0
7.718 * [backup-simplify]: Simplify 0 into 0
7.718 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
7.718 * * * [progress]: simplifying candidates
7.719 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (exp (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (cbrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (* (sqrt (+ (* x x) (* p (* 4.0 p)))) (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p))))))
  (sqrt (cbrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt 1)
  (sqrt (+ (* x x) (* p (* 4.0 p))))
  (sqrt (+ (pow (* x x) 3) (pow (* p (* 4.0 p)) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4.0 p)) (* p (* 4.0 p))) (* (* x x) (* p (* 4.0 p))))))
  (sqrt (- (* (* x x) (* x x)) (* (* p (* 4.0 p)) (* p (* 4.0 p)))))
  (sqrt (- (* x x) (* p (* 4.0 p))))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (log (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (exp (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (cbrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (* (sqrt (+ (* x x) (* p (* 4.0 p)))) (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p))))))
  (sqrt (cbrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt 1)
  (sqrt (+ (* x x) (* p (* 4.0 p))))
  (sqrt (+ (pow (* x x) 3) (pow (* p (* 4.0 p)) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4.0 p)) (* p (* 4.0 p))) (* (* x x) (* p (* 4.0 p))))))
  (sqrt (- (* (* x x) (* x x)) (* (* p (* 4.0 p)) (* p (* 4.0 p)))))
  (sqrt (- (* x x) (* p (* 4.0 p))))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (log (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (exp (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (cbrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (* (sqrt (+ (* x x) (* p (* 4.0 p)))) (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p))))))
  (sqrt (cbrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt 1)
  (sqrt (+ (* x x) (* p (* 4.0 p))))
  (sqrt (+ (pow (* x x) 3) (pow (* p (* 4.0 p)) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4.0 p)) (* p (* 4.0 p))) (* (* x x) (* p (* 4.0 p))))))
  (sqrt (- (* (* x x) (* x x)) (* (* p (* 4.0 p)) (* p (* 4.0 p)))))
  (sqrt (- (* x x) (* p (* 4.0 p))))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (log (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (exp (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))))
  (cbrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* (* (sqrt (+ (* x x) (* p (* 4.0 p)))) (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p))))))
  (sqrt (cbrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt 1)
  (sqrt (+ (* x x) (* p (* 4.0 p))))
  (sqrt (+ (pow (* x x) 3) (pow (* p (* 4.0 p)) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4.0 p)) (* p (* 4.0 p))) (* (* x x) (* p (* 4.0 p))))))
  (sqrt (- (* (* x x) (* x x)) (* (* p (* 4.0 p)) (* p (* 4.0 p)))))
  (sqrt (- (* x x) (* p (* 4.0 p))))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4.0 p)))))
  (* p (sqrt 4.0))
  x
  (* -1 x)
  (* p (sqrt 4.0))
  x
  (* -1 x)
  (* p (sqrt 4.0))
  x
  (* -1 x)
  (* p (sqrt 4.0))
  x
  (* -1 x)
7.720 * * [simplify]: iteration 0: 42 enodes
7.732 * * [simplify]: iteration 1: 97 enodes
7.752 * * [simplify]: iteration 2: 269 enodes
7.843 * * [simplify]: iteration 3: 865 enodes
8.348 * * [simplify]: iteration 4: 2538 enodes
9.030 * * [simplify]: iteration complete: 5000 enodes
9.030 * * [simplify]: Extracting #0: cost 18 inf + 0
9.030 * * [simplify]: Extracting #1: cost 39 inf + 3
9.030 * * [simplify]: Extracting #2: cost 103 inf + 47
9.032 * * [simplify]: Extracting #3: cost 682 inf + 2201
9.044 * * [simplify]: Extracting #4: cost 967 inf + 55119
9.083 * * [simplify]: Extracting #5: cost 390 inf + 225580
9.136 * * [simplify]: Extracting #6: cost 129 inf + 319474
9.190 * * [simplify]: Extracting #7: cost 24 inf + 341401
9.243 * * [simplify]: Extracting #8: cost 0 inf + 348402
9.297 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (exp (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (* (cbrt (sqrt (+ (* x x) (* 4.0 (* p p))))) (cbrt (sqrt (+ (* x x) (* 4.0 (* p p))))))
  (cbrt (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (* (sqrt (+ (* x x) (* 4.0 (* p p)))) (+ (* x x) (* 4.0 (* p p))))
  (fabs (cbrt (+ (* x x) (* 4.0 (* p p)))))
  (sqrt (cbrt (+ (* x x) (* 4.0 (* p p)))))
  (sqrt (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (sqrt (sqrt (+ (* x x) (* 4.0 (* p p)))))
  1
  (sqrt (+ (* x x) (* 4.0 (* p p))))
  (sqrt (+ (* (* (* 4.0 (* p p)) (* 4.0 (* p p))) (* 4.0 (* p p))) (* (* x x) (* (* x x) (* x x)))))
  (sqrt (- (* (* 4.0 (* p p)) (* 4.0 (* p p))) (* (* x x) (- (* 4.0 (* p p)) (* x x)))))
  (sqrt (* (- (* x x) (* 4.0 (* p p))) (+ (* x x) (* 4.0 (* p p)))))
  (sqrt (- (* x x) (* 4.0 (* p p))))
  1/2
  (sqrt (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (sqrt (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (log (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (exp (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (* (cbrt (sqrt (+ (* x x) (* 4.0 (* p p))))) (cbrt (sqrt (+ (* x x) (* 4.0 (* p p))))))
  (cbrt (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (* (sqrt (+ (* x x) (* 4.0 (* p p)))) (+ (* x x) (* 4.0 (* p p))))
  (fabs (cbrt (+ (* x x) (* 4.0 (* p p)))))
  (sqrt (cbrt (+ (* x x) (* 4.0 (* p p)))))
  (sqrt (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (sqrt (sqrt (+ (* x x) (* 4.0 (* p p)))))
  1
  (sqrt (+ (* x x) (* 4.0 (* p p))))
  (sqrt (+ (* (* (* 4.0 (* p p)) (* 4.0 (* p p))) (* 4.0 (* p p))) (* (* x x) (* (* x x) (* x x)))))
  (sqrt (- (* (* 4.0 (* p p)) (* 4.0 (* p p))) (* (* x x) (- (* 4.0 (* p p)) (* x x)))))
  (sqrt (* (- (* x x) (* 4.0 (* p p))) (+ (* x x) (* 4.0 (* p p)))))
  (sqrt (- (* x x) (* 4.0 (* p p))))
  1/2
  (sqrt (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (sqrt (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (log (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (exp (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (* (cbrt (sqrt (+ (* x x) (* 4.0 (* p p))))) (cbrt (sqrt (+ (* x x) (* 4.0 (* p p))))))
  (cbrt (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (* (sqrt (+ (* x x) (* 4.0 (* p p)))) (+ (* x x) (* 4.0 (* p p))))
  (fabs (cbrt (+ (* x x) (* 4.0 (* p p)))))
  (sqrt (cbrt (+ (* x x) (* 4.0 (* p p)))))
  (sqrt (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (sqrt (sqrt (+ (* x x) (* 4.0 (* p p)))))
  1
  (sqrt (+ (* x x) (* 4.0 (* p p))))
  (sqrt (+ (* (* (* 4.0 (* p p)) (* 4.0 (* p p))) (* 4.0 (* p p))) (* (* x x) (* (* x x) (* x x)))))
  (sqrt (- (* (* 4.0 (* p p)) (* 4.0 (* p p))) (* (* x x) (- (* 4.0 (* p p)) (* x x)))))
  (sqrt (* (- (* x x) (* 4.0 (* p p))) (+ (* x x) (* 4.0 (* p p)))))
  (sqrt (- (* x x) (* 4.0 (* p p))))
  1/2
  (sqrt (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (sqrt (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (log (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (exp (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (* (cbrt (sqrt (+ (* x x) (* 4.0 (* p p))))) (cbrt (sqrt (+ (* x x) (* 4.0 (* p p))))))
  (cbrt (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (* (sqrt (+ (* x x) (* 4.0 (* p p)))) (+ (* x x) (* 4.0 (* p p))))
  (fabs (cbrt (+ (* x x) (* 4.0 (* p p)))))
  (sqrt (cbrt (+ (* x x) (* 4.0 (* p p)))))
  (sqrt (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (sqrt (sqrt (+ (* x x) (* 4.0 (* p p)))))
  1
  (sqrt (+ (* x x) (* 4.0 (* p p))))
  (sqrt (+ (* (* (* 4.0 (* p p)) (* 4.0 (* p p))) (* 4.0 (* p p))) (* (* x x) (* (* x x) (* x x)))))
  (sqrt (- (* (* 4.0 (* p p)) (* 4.0 (* p p))) (* (* x x) (- (* 4.0 (* p p)) (* x x)))))
  (sqrt (* (- (* x x) (* 4.0 (* p p))) (+ (* x x) (* 4.0 (* p p)))))
  (sqrt (- (* x x) (* 4.0 (* p p))))
  1/2
  (sqrt (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (sqrt (sqrt (+ (* x x) (* 4.0 (* p p)))))
  (* (sqrt 4.0) p)
  x
  (- x)
  (* (sqrt 4.0) p)
  x
  (- x)
  (* (sqrt 4.0) p)
  x
  (- x)
  (* (sqrt 4.0) p)
  x
  (- x)
9.319 * * * [progress]: adding candidates to table
9.914 * [progress]: [Phase 3 of 3] Extracting.
9.914 * * [regime]: Finding splitpoints for: (#<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* p (* 4.0 p)))))) (cbrt (log (sqrt (+ (* x x) (* p (* 4.0 p)))))))) (cbrt (log (sqrt (+ (* x x) (* p (* 4.0 p)))))))) (- (/ x (- x)) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (* (sqrt (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p)))))) (sqrt (cbrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (exp (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (* (* (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p)))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (exp (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (* (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (+ 1.0 (* (/ 1 (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (/ (/ (* x x) (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (+ (* x x) (* p (* 4.0 p))))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (* x (/ x (+ (* x x) (* p (* 4.0 p))))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (* (sqrt (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p)))))) (sqrt (cbrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (/ (sqrt (- (* (* x x) (* x x)) (* (* p (* 4.0 p)) (* p (* 4.0 p))))) (sqrt (- (* x x) (* p (* 4.0 p)))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (exp (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (pow (exp (sqrt (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (sqrt (log (sqrt (+ (* x x) (* p (* 4.0 p)))))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (* (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (exp (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (* (/ (* x x) (+ (* (* (* (* p 4.0) p) (* (* p 4.0) p)) (* (* p 4.0) p)) (* (* x (* x x)) (* x (* x x))))) (+ (* (* x x) (* x x)) (- (* (* p (* 4.0 p)) (* p (* 4.0 p))) (* (* x x) (* p (* 4.0 p)))))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (cbrt (* (* (sqrt (+ (* x x) (* p (* 4.0 p)))) (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (* (* x x) (/ 1 (+ (* x x) (* p (* 4.0 p))))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (* (/ x (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p)))))) (/ x (cbrt (+ (* x x) (* p (* 4.0 p)))))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))>)
9.932 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 4.0 p) p) x p)
9.932 * * * * [regimes]: Trying to branch on (* (* 4.0 p) p) from (#<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* p (* 4.0 p)))))) (cbrt (log (sqrt (+ (* x x) (* p (* 4.0 p)))))))) (cbrt (log (sqrt (+ (* x x) (* p (* 4.0 p)))))))) (- (/ x (- x)) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (* (sqrt (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p)))))) (sqrt (cbrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (exp (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (* (* (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p)))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (exp (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (* (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (+ 1.0 (* (/ 1 (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (/ (/ (* x x) (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (+ (* x x) (* p (* 4.0 p))))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (* x (/ x (+ (* x x) (* p (* 4.0 p))))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (* (sqrt (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p)))))) (sqrt (cbrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (/ (sqrt (- (* (* x x) (* x x)) (* (* p (* 4.0 p)) (* p (* 4.0 p))))) (sqrt (- (* x x) (* p (* 4.0 p)))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (exp (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (pow (exp (sqrt (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (sqrt (log (sqrt (+ (* x x) (* p (* 4.0 p)))))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (* (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (exp (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (* (/ (* x x) (+ (* (* (* (* p 4.0) p) (* (* p 4.0) p)) (* (* p 4.0) p)) (* (* x (* x x)) (* x (* x x))))) (+ (* (* x x) (* x x)) (- (* (* p (* 4.0 p)) (* p (* 4.0 p))) (* (* x x) (* p (* 4.0 p)))))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (cbrt (* (* (sqrt (+ (* x x) (* p (* 4.0 p)))) (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (* (* x x) (/ 1 (+ (* x x) (* p (* 4.0 p))))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (* (/ x (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p)))))) (/ x (cbrt (+ (* x x) (* p (* 4.0 p)))))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))>)
10.053 * * * * [regimes]: Trying to branch on x from (#<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* p (* 4.0 p)))))) (cbrt (log (sqrt (+ (* x x) (* p (* 4.0 p)))))))) (cbrt (log (sqrt (+ (* x x) (* p (* 4.0 p)))))))) (- (/ x (- x)) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (* (sqrt (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p)))))) (sqrt (cbrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (exp (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (* (* (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p)))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (exp (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (* (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (+ 1.0 (* (/ 1 (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (/ (/ (* x x) (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (+ (* x x) (* p (* 4.0 p))))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (* x (/ x (+ (* x x) (* p (* 4.0 p))))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (* (sqrt (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p)))))) (sqrt (cbrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (/ (sqrt (- (* (* x x) (* x x)) (* (* p (* 4.0 p)) (* p (* 4.0 p))))) (sqrt (- (* x x) (* p (* 4.0 p)))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (exp (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (pow (exp (sqrt (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (sqrt (log (sqrt (+ (* x x) (* p (* 4.0 p)))))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (* (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (exp (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (* (/ (* x x) (+ (* (* (* (* p 4.0) p) (* (* p 4.0) p)) (* (* p 4.0) p)) (* (* x (* x x)) (* x (* x x))))) (+ (* (* x x) (* x x)) (- (* (* p (* 4.0 p)) (* p (* 4.0 p))) (* (* x x) (* p (* 4.0 p)))))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (cbrt (* (* (sqrt (+ (* x x) (* p (* 4.0 p)))) (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (* (* x x) (/ 1 (+ (* x x) (* p (* 4.0 p))))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (* (/ x (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p)))))) (/ x (cbrt (+ (* x x) (* p (* 4.0 p)))))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))>)
10.177 * * * * [regimes]: Trying to branch on p from (#<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* p (* 4.0 p)))))) (cbrt (log (sqrt (+ (* x x) (* p (* 4.0 p)))))))) (cbrt (log (sqrt (+ (* x x) (* p (* 4.0 p)))))))) (- (/ x (- x)) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (* (sqrt (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p)))))) (sqrt (cbrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (exp (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (* (* (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p)))))) (cbrt (sqrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (exp (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (* (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (+ 1.0 (* (/ 1 (sqrt (* (cbrt (+ (* (* 4.0 p) p) (* x x))) (cbrt (+ (* (* 4.0 p) p) (* x x)))))) (/ x (sqrt (cbrt (+ (* (* 4.0 p) p) (* x x))))))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (/ (/ (* x x) (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (+ (* x x) (* p (* 4.0 p))))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (* x (/ x (+ (* x x) (* p (* 4.0 p))))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (* (sqrt (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p)))))) (sqrt (cbrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (/ (sqrt (- (* (* x x) (* x x)) (* (* p (* 4.0 p)) (* p (* 4.0 p))))) (sqrt (- (* x x) (* p (* 4.0 p)))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (exp (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (pow (exp (sqrt (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (sqrt (log (sqrt (+ (* x x) (* p (* 4.0 p)))))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (* (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (sqrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (exp (log (sqrt (+ (* x x) (* p (* 4.0 p))))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (* (/ (* x x) (+ (* (* (* (* p 4.0) p) (* (* p 4.0) p)) (* (* p 4.0) p)) (* (* x (* x x)) (* x (* x x))))) (+ (* (* x x) (* x x)) (- (* (* p (* 4.0 p)) (* p (* 4.0 p))) (* (* x x) (* p (* 4.0 p)))))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (cbrt (* (* (sqrt (+ (* x x) (* p (* 4.0 p)))) (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (+ (* x x) (* p (* 4.0 p))))))) (/ (* x x) (+ (* x x) (* p (* 4.0 p)))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (* (* x x) (/ 1 (+ (* x x) (* p (* 4.0 p))))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))> #<alt (λ (p x) (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (* (/ x (* (cbrt (+ (* x x) (* p (* 4.0 p)))) (cbrt (+ (* x x) (* p (* 4.0 p)))))) (/ x (cbrt (+ (* x x) (* p (* 4.0 p)))))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0))))))>)
10.303 * * * [regime]: Found split indices: #<option (#s(si 5 255))>
10.303 * [simplify]: Simplifying:
  (sqrt (* 0.5 (/ (+ (* 1.0 (* 1.0 1.0)) (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (/ (/ (* x x) (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (+ (* x x) (* p (* 4.0 p))))))) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0)))))
10.303 * * [simplify]: iteration 0: 23 enodes
10.305 * * [simplify]: iteration 1: 32 enodes
10.306 * * [simplify]: iteration complete: 32 enodes
10.306 * * [simplify]: Extracting #0: cost 1 inf + 0
10.306 * * [simplify]: Extracting #1: cost 2 inf + 0
10.306 * * [simplify]: Extracting #2: cost 4 inf + 0
10.306 * * [simplify]: Extracting #3: cost 5 inf + 1
10.306 * * [simplify]: Extracting #4: cost 9 inf + 1
10.306 * * [simplify]: Extracting #5: cost 13 inf + 1
10.306 * * [simplify]: Extracting #6: cost 15 inf + 2
10.306 * * [simplify]: Extracting #7: cost 14 inf + 125
10.306 * * [simplify]: Extracting #8: cost 14 inf + 166
10.306 * * [simplify]: Extracting #9: cost 16 inf + 166
10.306 * * [simplify]: Extracting #10: cost 16 inf + 167
10.306 * * [simplify]: Extracting #11: cost 15 inf + 168
10.307 * * [simplify]: Extracting #12: cost 13 inf + 292
10.307 * * [simplify]: Extracting #13: cost 10 inf + 901
10.307 * * [simplify]: Extracting #14: cost 7 inf + 1790
10.307 * * [simplify]: Extracting #15: cost 4 inf + 2882
10.308 * * [simplify]: Extracting #16: cost 2 inf + 3930
10.309 * * [simplify]: Extracting #17: cost 0 inf + 5340
10.310 * [simplify]: Simplified to:
  (sqrt (* 0.5 (/ (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (/ (/ (* x x) (sqrt (+ (* x x) (* p (* 4.0 p))))) (sqrt (+ (* x x) (* p (* 4.0 p)))))) (* (* 1.0 1.0) 1.0)) (+ (* (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) (- (/ x (sqrt (+ (* x x) (* p (* 4.0 p))))) 1.0)) (* 1.0 1.0)))))
13.763 * [regime-testing]: Baseline error score: 13.537618186405322
13.775 * [regime-testing]: Oracle error score: 13.154442303968803
13.802 * [regime-testing]: End program error score: 13.537618186405322
13.907 * [regime-testing]: Target error score: 13.386443051690879