29.077 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.081 * * * [progress]: [2/2] Setting up program.
0.084 * [progress]: [Phase 2 of 3] Improving.
0.084 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (p x) (sqrt (* 0.5 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))))>
0.084 * [simplify]: Simplifying:
  (sqrt (* 0.5 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
0.084 * * [simplify]: iteration 1: (14 enodes)
0.087 * * [simplify]: iteration 2: (27 enodes)
0.094 * * [simplify]: iteration 3: (34 enodes)
0.103 * * [simplify]: iteration 4: (38 enodes)
0.111 * * [simplify]: iteration 5: (40 enodes)
0.120 * * [simplify]: Extracting #0: cost 1 inf + 0
0.120 * * [simplify]: Extracting #1: cost 2 inf + 0
0.120 * * [simplify]: Extracting #2: cost 5 inf + 0
0.120 * * [simplify]: Extracting #3: cost 12 inf + 1
0.120 * * [simplify]: Extracting #4: cost 10 inf + 45
0.121 * * [simplify]: Extracting #5: cost 12 inf + 45
0.121 * * [simplify]: Extracting #6: cost 15 inf + 86
0.121 * * [simplify]: Extracting #7: cost 11 inf + 171
0.121 * * [simplify]: Extracting #8: cost 10 inf + 253
0.121 * * [simplify]: Extracting #9: cost 8 inf + 619
0.122 * * [simplify]: Extracting #10: cost 2 inf + 2161
0.123 * * [simplify]: Extracting #11: cost 0 inf + 2849
0.124 * [simplify]: Simplified to:
  (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))
0.156 * * [progress]: iteration 1 / 4
0.156 * * * [progress]: picking best candidate
0.164 * * * * [pick]: Picked  #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))>
0.164 * * * [progress]: localizing error
0.212 * * * [progress]: generating rewritten candidates
0.212 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2)
0.222 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.238 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 1)
0.244 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
0.271 * * * [progress]: generating series expansions
0.271 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2)
0.272 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p p) 4))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
0.272 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
0.272 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
0.272 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.272 * [taylor]: Taking taylor expansion of x in p
0.272 * [backup-simplify]: Simplify x into x
0.272 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
0.272 * [taylor]: Taking taylor expansion of 4 in p
0.272 * [backup-simplify]: Simplify 4 into 4
0.272 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.272 * [taylor]: Taking taylor expansion of p in p
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify 1 into 1
0.272 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.272 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.272 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.272 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.272 * [backup-simplify]: Simplify (+ 0 0) into 0
0.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.273 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
0.273 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.273 * [taylor]: Taking taylor expansion of x in x
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 1 into 1
0.273 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.273 * [taylor]: Taking taylor expansion of 4 in x
0.273 * [backup-simplify]: Simplify 4 into 4
0.273 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.273 * [taylor]: Taking taylor expansion of p in x
0.273 * [backup-simplify]: Simplify p into p
0.273 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.273 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.273 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.273 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
0.273 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.274 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
0.274 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.274 * [taylor]: Taking taylor expansion of x in x
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 1 into 1
0.274 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.274 * [taylor]: Taking taylor expansion of 4 in x
0.274 * [backup-simplify]: Simplify 4 into 4
0.274 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.274 * [taylor]: Taking taylor expansion of p in x
0.274 * [backup-simplify]: Simplify p into p
0.275 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.275 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.275 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.275 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
0.275 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.275 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
0.276 * [taylor]: Taking taylor expansion of (* 2 p) in p
0.276 * [taylor]: Taking taylor expansion of 2 in p
0.276 * [backup-simplify]: Simplify 2 into 2
0.276 * [taylor]: Taking taylor expansion of p in p
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 1 into 1
0.276 * [backup-simplify]: Simplify (* 2 0) into 0
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [taylor]: Taking taylor expansion of 0 in p
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
0.276 * [backup-simplify]: Simplify 2 into 2
0.277 * [backup-simplify]: Simplify (* 1 1) into 1
0.277 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
0.278 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
0.278 * [backup-simplify]: Simplify (+ 1 0) into 1
0.278 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
0.278 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
0.278 * [taylor]: Taking taylor expansion of 1/4 in p
0.278 * [backup-simplify]: Simplify 1/4 into 1/4
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
0.279 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
0.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.281 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
0.282 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
0.282 * [backup-simplify]: Simplify (+ 0 0) into 0
0.282 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
0.282 * [taylor]: Taking taylor expansion of 0 in p
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
0.283 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
0.283 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
0.283 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.283 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.283 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.283 * [taylor]: Taking taylor expansion of 4 in p
0.283 * [backup-simplify]: Simplify 4 into 4
0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.283 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.283 * [taylor]: Taking taylor expansion of p in p
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (* 1 1) into 1
0.284 * [backup-simplify]: Simplify (/ 1 1) into 1
0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.284 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.284 * [taylor]: Taking taylor expansion of x in p
0.284 * [backup-simplify]: Simplify x into x
0.284 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.284 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.284 * [backup-simplify]: Simplify (* 4 1) into 4
0.284 * [backup-simplify]: Simplify (+ 4 0) into 4
0.285 * [backup-simplify]: Simplify (sqrt 4) into 2
0.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.286 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.286 * [backup-simplify]: Simplify (+ 0 0) into 0
0.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
0.287 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.287 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.287 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.287 * [taylor]: Taking taylor expansion of 4 in x
0.287 * [backup-simplify]: Simplify 4 into 4
0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.287 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.287 * [taylor]: Taking taylor expansion of p in x
0.287 * [backup-simplify]: Simplify p into p
0.287 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.287 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.287 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.287 * [taylor]: Taking taylor expansion of x in x
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.287 * [backup-simplify]: Simplify (* 1 1) into 1
0.287 * [backup-simplify]: Simplify (/ 1 1) into 1
0.288 * [backup-simplify]: Simplify (+ 0 1) into 1
0.288 * [backup-simplify]: Simplify (sqrt 1) into 1
0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.289 * [backup-simplify]: Simplify (+ 0 0) into 0
0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.290 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.290 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.290 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.290 * [taylor]: Taking taylor expansion of 4 in x
0.290 * [backup-simplify]: Simplify 4 into 4
0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.290 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.290 * [taylor]: Taking taylor expansion of p in x
0.290 * [backup-simplify]: Simplify p into p
0.290 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.290 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.290 * [taylor]: Taking taylor expansion of x in x
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 1 into 1
0.291 * [backup-simplify]: Simplify (* 1 1) into 1
0.291 * [backup-simplify]: Simplify (/ 1 1) into 1
0.292 * [backup-simplify]: Simplify (+ 0 1) into 1
0.292 * [backup-simplify]: Simplify (sqrt 1) into 1
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 (+ 0 0) into 0
0.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.295 * [taylor]: Taking taylor expansion of 1 in p
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [taylor]: Taking taylor expansion of 0 in p
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.297 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.298 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
0.298 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
0.298 * [taylor]: Taking taylor expansion of 2 in p
0.298 * [backup-simplify]: Simplify 2 into 2
0.298 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.298 * [taylor]: Taking taylor expansion of p in p
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 1 into 1
0.298 * [backup-simplify]: Simplify (* 1 1) into 1
0.299 * [backup-simplify]: Simplify (/ 2 1) into 2
0.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
0.301 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (+ 0 0) into 0
0.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
0.304 * [taylor]: Taking taylor expansion of 0 in p
0.304 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
0.306 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
0.306 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
0.306 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.306 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.306 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.306 * [taylor]: Taking taylor expansion of 4 in p
0.306 * [backup-simplify]: Simplify 4 into 4
0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.306 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.306 * [taylor]: Taking taylor expansion of p in p
0.306 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 1 into 1
0.307 * [backup-simplify]: Simplify (* 1 1) into 1
0.307 * [backup-simplify]: Simplify (/ 1 1) into 1
0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.307 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.307 * [taylor]: Taking taylor expansion of x in p
0.307 * [backup-simplify]: Simplify x into x
0.307 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.307 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.308 * [backup-simplify]: Simplify (* 4 1) into 4
0.308 * [backup-simplify]: Simplify (+ 4 0) into 4
0.309 * [backup-simplify]: Simplify (sqrt 4) into 2
0.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.311 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.311 * [backup-simplify]: Simplify (+ 0 0) into 0
0.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
0.312 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.312 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.312 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.312 * [taylor]: Taking taylor expansion of 4 in x
0.312 * [backup-simplify]: Simplify 4 into 4
0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.312 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.312 * [taylor]: Taking taylor expansion of p in x
0.312 * [backup-simplify]: Simplify p into p
0.312 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.312 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.312 * [taylor]: Taking taylor expansion of x in x
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [backup-simplify]: Simplify (* 1 1) into 1
0.313 * [backup-simplify]: Simplify (/ 1 1) into 1
0.313 * [backup-simplify]: Simplify (+ 0 1) into 1
0.313 * [backup-simplify]: Simplify (sqrt 1) into 1
0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.315 * [backup-simplify]: Simplify (+ 0 0) into 0
0.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.316 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.316 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.316 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.316 * [taylor]: Taking taylor expansion of 4 in x
0.316 * [backup-simplify]: Simplify 4 into 4
0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.316 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.316 * [taylor]: Taking taylor expansion of p in x
0.316 * [backup-simplify]: Simplify p into p
0.316 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.316 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.316 * [taylor]: Taking taylor expansion of x in x
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 1 into 1
0.317 * [backup-simplify]: Simplify (* 1 1) into 1
0.317 * [backup-simplify]: Simplify (/ 1 1) into 1
0.317 * [backup-simplify]: Simplify (+ 0 1) into 1
0.318 * [backup-simplify]: Simplify (sqrt 1) into 1
0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.319 * [backup-simplify]: Simplify (+ 0 0) into 0
0.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.320 * [taylor]: Taking taylor expansion of 1 in p
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [taylor]: Taking taylor expansion of 0 in p
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.322 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.323 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
0.323 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
0.323 * [taylor]: Taking taylor expansion of 2 in p
0.323 * [backup-simplify]: Simplify 2 into 2
0.323 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.323 * [taylor]: Taking taylor expansion of p in p
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 1 into 1
0.324 * [backup-simplify]: Simplify (* 1 1) into 1
0.324 * [backup-simplify]: Simplify (/ 2 1) into 2
0.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
0.326 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.327 * [backup-simplify]: Simplify (+ 0 0) into 0
0.328 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
0.328 * [taylor]: Taking taylor expansion of 0 in p
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
0.329 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.329 * [backup-simplify]: Simplify (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5) into (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))))
0.329 * [approximate]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in (x p) around 0
0.329 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in p
0.329 * [taylor]: Taking taylor expansion of 0.5 in p
0.329 * [backup-simplify]: Simplify 0.5 into 0.5
0.329 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in p
0.329 * [taylor]: Taking taylor expansion of 0.5 in p
0.329 * [backup-simplify]: Simplify 0.5 into 0.5
0.329 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p
0.329 * [taylor]: Taking taylor expansion of x in p
0.329 * [backup-simplify]: Simplify x into x
0.329 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p
0.329 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p
0.329 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
0.329 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.329 * [taylor]: Taking taylor expansion of x in p
0.329 * [backup-simplify]: Simplify x into x
0.329 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
0.329 * [taylor]: Taking taylor expansion of 4 in p
0.329 * [backup-simplify]: Simplify 4 into 4
0.329 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.329 * [taylor]: Taking taylor expansion of p in p
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 1 into 1
0.329 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.330 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.330 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.330 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
0.330 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.330 * [backup-simplify]: Simplify (+ 0 0) into 0
0.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
0.330 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x
0.330 * [taylor]: Taking taylor expansion of 0.5 in x
0.330 * [backup-simplify]: Simplify 0.5 into 0.5
0.330 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x
0.330 * [taylor]: Taking taylor expansion of 0.5 in x
0.330 * [backup-simplify]: Simplify 0.5 into 0.5
0.330 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
0.330 * [taylor]: Taking taylor expansion of x in x
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.330 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
0.330 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
0.330 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.330 * [taylor]: Taking taylor expansion of x in x
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.330 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.330 * [taylor]: Taking taylor expansion of 4 in x
0.330 * [backup-simplify]: Simplify 4 into 4
0.330 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.330 * [taylor]: Taking taylor expansion of p in x
0.331 * [backup-simplify]: Simplify p into p
0.331 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.331 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.331 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.331 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
0.331 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
0.331 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.331 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.331 * [backup-simplify]: Simplify (+ 0 0) into 0
0.332 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
0.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
0.332 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x
0.332 * [taylor]: Taking taylor expansion of 0.5 in x
0.332 * [backup-simplify]: Simplify 0.5 into 0.5
0.332 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x
0.332 * [taylor]: Taking taylor expansion of 0.5 in x
0.332 * [backup-simplify]: Simplify 0.5 into 0.5
0.332 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
0.332 * [taylor]: Taking taylor expansion of x in x
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 1 into 1
0.332 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
0.332 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
0.332 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.332 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.332 * [taylor]: Taking taylor expansion of x in x
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 1 into 1
0.332 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.332 * [taylor]: Taking taylor expansion of 4 in x
0.332 * [backup-simplify]: Simplify 4 into 4
0.332 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.332 * [taylor]: Taking taylor expansion of p in x
0.332 * [backup-simplify]: Simplify p into p
0.332 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.332 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.332 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.332 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
0.332 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
0.332 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.333 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.333 * [backup-simplify]: Simplify (+ 0 0) into 0
0.333 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
0.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
0.333 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0
0.334 * [backup-simplify]: Simplify (* 0.5 0) into 0
0.334 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5
0.334 * [taylor]: Taking taylor expansion of 0.5 in p
0.334 * [backup-simplify]: Simplify 0.5 into 0.5
0.334 * [backup-simplify]: Simplify 0.5 into 0.5
0.334 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p))
0.335 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p))
0.335 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 p))) into (* 0.25 (/ 1 p))
0.335 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 p)) in p
0.335 * [taylor]: Taking taylor expansion of 0.25 in p
0.335 * [backup-simplify]: Simplify 0.25 into 0.25
0.335 * [taylor]: Taking taylor expansion of (/ 1 p) in p
0.335 * [taylor]: Taking taylor expansion of p in p
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify 1 into 1
0.335 * [backup-simplify]: Simplify (/ 1 1) into 1
0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.336 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify (* 1 1) into 1
0.336 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
0.337 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
0.337 * [backup-simplify]: Simplify (+ 1 0) into 1
0.337 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 1 (* 4 (pow p 2)))) (* 0 (/ 0 (* 4 (pow p 2)))))) into (- (* 1/16 (/ 1 (pow p 4))))
0.338 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3))
0.338 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0
0.339 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0))) into 0
0.339 * [backup-simplify]: Simplify (+ 0 0) into 0
0.339 * [taylor]: Taking taylor expansion of 0 in p
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.340 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.341 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
0.342 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
0.342 * [backup-simplify]: Simplify (+ 0 0) into 0
0.343 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))) (* 0 (/ 1 (* 4 (pow p 2)))) (* (- (* 1/16 (/ 1 (pow p 4)))) (/ 0 (* 4 (pow p 2)))))) into 0
0.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (pow p 3)))))) (* 2 (/ 1/2 p))) into 0
0.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -1/16 (pow p 3))) (+ (* 0 0) (* 0 (/ 1/2 p))))) into (- (* 1/16 (/ 1 (pow p 3))))
0.344 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1/16 (/ 1 (pow p 3))))) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0)))) into (- (* 0.03125 (/ 1 (pow p 3))))
0.344 * [backup-simplify]: Simplify (+ 0 (- (* 0.03125 (/ 1 (pow p 3))))) into (- (* 0.03125 (/ 1 (pow p 3))))
0.344 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (pow p 3)))) in p
0.344 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (pow p 3))) in p
0.344 * [taylor]: Taking taylor expansion of 0.03125 in p
0.344 * [backup-simplify]: Simplify 0.03125 into 0.03125
0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow p 3)) in p
0.344 * [taylor]: Taking taylor expansion of (pow p 3) in p
0.344 * [taylor]: Taking taylor expansion of p in p
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify 1 into 1
0.344 * [backup-simplify]: Simplify (* 1 1) into 1
0.345 * [backup-simplify]: Simplify (* 1 1) into 1
0.345 * [backup-simplify]: Simplify (/ 1 1) into 1
0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.352 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.353 * [backup-simplify]: Simplify (- 0) into 0
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify 0.5 into 0.5
0.353 * [backup-simplify]: Simplify (+ (* 0.5 (/ (/ 1 x) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))))) 0.5) into (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5)
0.353 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in (x p) around 0
0.353 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in p
0.353 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
0.353 * [taylor]: Taking taylor expansion of 0.5 in p
0.353 * [backup-simplify]: Simplify 0.5 into 0.5
0.353 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in p
0.353 * [taylor]: Taking taylor expansion of x in p
0.353 * [backup-simplify]: Simplify x into x
0.353 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.353 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
0.353 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.353 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.353 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.353 * [taylor]: Taking taylor expansion of 4 in p
0.353 * [backup-simplify]: Simplify 4 into 4
0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.353 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.353 * [taylor]: Taking taylor expansion of p in p
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify 1 into 1
0.354 * [backup-simplify]: Simplify (* 1 1) into 1
0.354 * [backup-simplify]: Simplify (/ 1 1) into 1
0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.354 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.354 * [taylor]: Taking taylor expansion of x in p
0.354 * [backup-simplify]: Simplify x into x
0.354 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.354 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.354 * [backup-simplify]: Simplify (* 4 1) into 4
0.355 * [backup-simplify]: Simplify (+ 4 0) into 4
0.355 * [backup-simplify]: Simplify (/ 1 4) into 1/4
0.355 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
0.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.356 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.357 * [backup-simplify]: Simplify (+ 0 0) into 0
0.357 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
0.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
0.358 * [taylor]: Taking taylor expansion of 0.5 in p
0.358 * [backup-simplify]: Simplify 0.5 into 0.5
0.358 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x
0.358 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.358 * [taylor]: Taking taylor expansion of 0.5 in x
0.358 * [backup-simplify]: Simplify 0.5 into 0.5
0.358 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.359 * [taylor]: Taking taylor expansion of x in x
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 1 into 1
0.359 * [backup-simplify]: Simplify (/ 1 1) into 1
0.359 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.359 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.359 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.359 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.359 * [taylor]: Taking taylor expansion of 4 in x
0.359 * [backup-simplify]: Simplify 4 into 4
0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.359 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.359 * [taylor]: Taking taylor expansion of p in x
0.359 * [backup-simplify]: Simplify p into p
0.359 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.359 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.360 * [taylor]: Taking taylor expansion of x in x
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify 1 into 1
0.360 * [backup-simplify]: Simplify (* 1 1) into 1
0.360 * [backup-simplify]: Simplify (/ 1 1) into 1
0.361 * [backup-simplify]: Simplify (+ 0 1) into 1
0.361 * [backup-simplify]: Simplify (/ 1 1) into 1
0.362 * [backup-simplify]: Simplify (sqrt 1) into 1
0.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.364 * [backup-simplify]: Simplify (+ 0 0) into 0
0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.365 * [taylor]: Taking taylor expansion of 0.5 in x
0.365 * [backup-simplify]: Simplify 0.5 into 0.5
0.365 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x
0.365 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.366 * [taylor]: Taking taylor expansion of 0.5 in x
0.366 * [backup-simplify]: Simplify 0.5 into 0.5
0.366 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.366 * [taylor]: Taking taylor expansion of x in x
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify 1 into 1
0.366 * [backup-simplify]: Simplify (/ 1 1) into 1
0.366 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.366 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.366 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.366 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.366 * [taylor]: Taking taylor expansion of 4 in x
0.366 * [backup-simplify]: Simplify 4 into 4
0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.366 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.366 * [taylor]: Taking taylor expansion of p in x
0.366 * [backup-simplify]: Simplify p into p
0.366 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.367 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.367 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.367 * [taylor]: Taking taylor expansion of x in x
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify 1 into 1
0.367 * [backup-simplify]: Simplify (* 1 1) into 1
0.368 * [backup-simplify]: Simplify (/ 1 1) into 1
0.368 * [backup-simplify]: Simplify (+ 0 1) into 1
0.368 * [backup-simplify]: Simplify (/ 1 1) into 1
0.369 * [backup-simplify]: Simplify (sqrt 1) into 1
0.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.370 * [backup-simplify]: Simplify (+ 0 0) into 0
0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.372 * [taylor]: Taking taylor expansion of 0.5 in x
0.372 * [backup-simplify]: Simplify 0.5 into 0.5
0.372 * [backup-simplify]: Simplify (* 1 1) into 1
0.372 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
0.373 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0
0.373 * [taylor]: Taking taylor expansion of 1.0 in p
0.373 * [backup-simplify]: Simplify 1.0 into 1.0
0.373 * [backup-simplify]: Simplify 1.0 into 1.0
0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.375 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
0.375 * [backup-simplify]: Simplify (+ 0 0) into 0
0.375 * [taylor]: Taking taylor expansion of 0 in p
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.378 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
0.380 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.381 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
0.382 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2))))
0.383 * [backup-simplify]: Simplify (+ (- (* 1.0 (/ 1 (pow p 2)))) 0) into (- (* 1.0 (/ 1 (pow p 2))))
0.383 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow p 2)))) in p
0.383 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p
0.383 * [taylor]: Taking taylor expansion of 1.0 in p
0.383 * [backup-simplify]: Simplify 1.0 into 1.0
0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.383 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.383 * [taylor]: Taking taylor expansion of p in p
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 1 into 1
0.383 * [backup-simplify]: Simplify (* 1 1) into 1
0.384 * [backup-simplify]: Simplify (/ 1 1) into 1
0.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.387 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
0.387 * [backup-simplify]: Simplify (- 0) into 0
0.387 * [backup-simplify]: Simplify 0 into 0
0.387 * [backup-simplify]: Simplify 0 into 0
0.387 * [backup-simplify]: Simplify 0 into 0
0.387 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
0.388 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
0.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.389 * [backup-simplify]: Simplify (+ 0 0) into 0
0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0
0.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0
0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0
0.393 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0
0.393 * [backup-simplify]: Simplify (+ 0 0) into 0
0.393 * [taylor]: Taking taylor expansion of 0 in p
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify 1.0 into 1.0
0.393 * [backup-simplify]: Simplify (+ (* 0.5 (/ (/ 1 (- x)) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))))) 0.5) into (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))))
0.393 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in (x p) around 0
0.393 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in p
0.393 * [taylor]: Taking taylor expansion of 0.5 in p
0.393 * [backup-simplify]: Simplify 0.5 into 0.5
0.393 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
0.393 * [taylor]: Taking taylor expansion of 0.5 in p
0.393 * [backup-simplify]: Simplify 0.5 into 0.5
0.393 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
0.393 * [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 (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
0.394 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.394 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.394 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.394 * [taylor]: Taking taylor expansion of 4 in p
0.394 * [backup-simplify]: Simplify 4 into 4
0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.394 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.394 * [taylor]: Taking taylor expansion of p in p
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify 1 into 1
0.394 * [backup-simplify]: Simplify (* 1 1) into 1
0.394 * [backup-simplify]: Simplify (/ 1 1) into 1
0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.394 * [taylor]: Taking taylor expansion of (pow x 2) 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 (* x x) into (pow x 2)
0.394 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.395 * [backup-simplify]: Simplify (* 4 1) into 4
0.395 * [backup-simplify]: Simplify (+ 4 0) into 4
0.395 * [backup-simplify]: Simplify (/ 1 4) into 1/4
0.396 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
0.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.397 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.397 * [backup-simplify]: Simplify (+ 0 0) into 0
0.398 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
0.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
0.398 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x
0.398 * [taylor]: Taking taylor expansion of 0.5 in x
0.398 * [backup-simplify]: Simplify 0.5 into 0.5
0.398 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.398 * [taylor]: Taking taylor expansion of 0.5 in x
0.398 * [backup-simplify]: Simplify 0.5 into 0.5
0.398 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.398 * [taylor]: Taking taylor expansion of x in x
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify 1 into 1
0.399 * [backup-simplify]: Simplify (/ 1 1) into 1
0.399 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.399 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.399 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.399 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.399 * [taylor]: Taking taylor expansion of 4 in x
0.399 * [backup-simplify]: Simplify 4 into 4
0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.399 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.399 * [taylor]: Taking taylor expansion of p in x
0.399 * [backup-simplify]: Simplify p into p
0.399 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.399 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.399 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.399 * [taylor]: Taking taylor expansion of x in x
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify 1 into 1
0.399 * [backup-simplify]: Simplify (* 1 1) into 1
0.399 * [backup-simplify]: Simplify (/ 1 1) into 1
0.400 * [backup-simplify]: Simplify (+ 0 1) into 1
0.400 * [backup-simplify]: Simplify (/ 1 1) into 1
0.400 * [backup-simplify]: Simplify (sqrt 1) into 1
0.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.401 * [backup-simplify]: Simplify (+ 0 0) into 0
0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.402 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x
0.402 * [taylor]: Taking taylor expansion of 0.5 in x
0.402 * [backup-simplify]: Simplify 0.5 into 0.5
0.402 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.402 * [taylor]: Taking taylor expansion of 0.5 in x
0.402 * [backup-simplify]: Simplify 0.5 into 0.5
0.402 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.402 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.402 * [taylor]: Taking taylor expansion of x in x
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 1 into 1
0.403 * [backup-simplify]: Simplify (/ 1 1) into 1
0.403 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.403 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.403 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.403 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.403 * [taylor]: Taking taylor expansion of 4 in x
0.403 * [backup-simplify]: Simplify 4 into 4
0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.403 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.403 * [taylor]: Taking taylor expansion of p in x
0.403 * [backup-simplify]: Simplify p into p
0.403 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.403 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.403 * [taylor]: Taking taylor expansion of x in x
0.403 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify 1 into 1
0.403 * [backup-simplify]: Simplify (* 1 1) into 1
0.404 * [backup-simplify]: Simplify (/ 1 1) into 1
0.404 * [backup-simplify]: Simplify (+ 0 1) into 1
0.404 * [backup-simplify]: Simplify (/ 1 1) into 1
0.404 * [backup-simplify]: Simplify (sqrt 1) into 1
0.405 * [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
0.407 * [backup-simplify]: Simplify (* 1 1) into 1
0.407 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
0.407 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
0.408 * [backup-simplify]: Simplify (+ 0.5 (- 0.5)) into 0
0.408 * [taylor]: Taking taylor expansion of 0 in p
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.409 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
0.409 * [backup-simplify]: Simplify (- 0) into 0
0.409 * [backup-simplify]: Simplify (+ 0 0) into 0
0.409 * [taylor]: Taking taylor expansion of 0 in p
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.411 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
0.412 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.413 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
0.414 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2))))
0.414 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow p 2))))) into (* 1.0 (/ 1 (pow p 2)))
0.414 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow p 2)))) into (* 1.0 (/ 1 (pow p 2)))
0.414 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p
0.414 * [taylor]: Taking taylor expansion of 1.0 in p
0.414 * [backup-simplify]: Simplify 1.0 into 1.0
0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.414 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.414 * [taylor]: Taking taylor expansion of p in p
0.415 * [backup-simplify]: Simplify 0 into 0
0.415 * [backup-simplify]: Simplify 1 into 1
0.415 * [backup-simplify]: Simplify (* 1 1) into 1
0.415 * [backup-simplify]: Simplify (/ 1 1) into 1
0.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.420 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 1)
0.420 * [backup-simplify]: Simplify (+ (* x x) (* (* p p) 4)) into (+ (pow x 2) (* 4 (pow p 2)))
0.420 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in (x p) around 0
0.420 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
0.420 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.420 * [taylor]: Taking taylor expansion of x in p
0.420 * [backup-simplify]: Simplify x into x
0.420 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
0.420 * [taylor]: Taking taylor expansion of 4 in p
0.420 * [backup-simplify]: Simplify 4 into 4
0.420 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.420 * [taylor]: Taking taylor expansion of p in p
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 1 into 1
0.421 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.421 * [taylor]: Taking taylor expansion of x in x
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 1 into 1
0.421 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.421 * [taylor]: Taking taylor expansion of 4 in x
0.421 * [backup-simplify]: Simplify 4 into 4
0.421 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.421 * [taylor]: Taking taylor expansion of p in x
0.421 * [backup-simplify]: Simplify p into p
0.421 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.421 * [taylor]: Taking taylor expansion of x in x
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 1 into 1
0.421 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.421 * [taylor]: Taking taylor expansion of 4 in x
0.421 * [backup-simplify]: Simplify 4 into 4
0.421 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.421 * [taylor]: Taking taylor expansion of p in x
0.421 * [backup-simplify]: Simplify p into p
0.421 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.421 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.421 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.421 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
0.421 * [taylor]: Taking taylor expansion of 4 in p
0.421 * [backup-simplify]: Simplify 4 into 4
0.422 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.422 * [taylor]: Taking taylor expansion of p in p
0.422 * [backup-simplify]: Simplify 0 into 0
0.422 * [backup-simplify]: Simplify 1 into 1
0.422 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.422 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.423 * [backup-simplify]: Simplify (+ 0 0) into 0
0.423 * [taylor]: Taking taylor expansion of 0 in p
0.423 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify (* 1 1) into 1
0.424 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
0.424 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
0.425 * [backup-simplify]: Simplify (+ 1 0) into 1
0.425 * [taylor]: Taking taylor expansion of 1 in p
0.425 * [backup-simplify]: Simplify 1 into 1
0.425 * [backup-simplify]: Simplify 1 into 1
0.425 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify (* 1 1) into 1
0.426 * [backup-simplify]: Simplify (* 4 1) into 4
0.426 * [backup-simplify]: Simplify 4 into 4
0.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.427 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
0.429 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
0.429 * [backup-simplify]: Simplify (+ 0 0) into 0
0.429 * [taylor]: Taking taylor expansion of 0 in p
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify 0 into 0
0.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.430 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.431 * [backup-simplify]: Simplify 0 into 0
0.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.433 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 p))))) into 0
0.434 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2)))))) into 0
0.435 * [backup-simplify]: Simplify (+ 0 0) into 0
0.435 * [taylor]: Taking taylor expansion of 0 in p
0.435 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify (+ (* 4 (pow (* p 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 4 (pow p 2)))
0.435 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4)) into (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))
0.435 * [approximate]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in (x p) around 0
0.436 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.436 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.436 * [taylor]: Taking taylor expansion of 4 in p
0.436 * [backup-simplify]: Simplify 4 into 4
0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.436 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.436 * [taylor]: Taking taylor expansion of p in p
0.436 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify 1 into 1
0.436 * [backup-simplify]: Simplify (* 1 1) into 1
0.437 * [backup-simplify]: Simplify (/ 1 1) into 1
0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.437 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.437 * [taylor]: Taking taylor expansion of x in p
0.437 * [backup-simplify]: Simplify x into x
0.437 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.437 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.437 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.437 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.437 * [taylor]: Taking taylor expansion of 4 in x
0.437 * [backup-simplify]: Simplify 4 into 4
0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.437 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.437 * [taylor]: Taking taylor expansion of p in x
0.437 * [backup-simplify]: Simplify p into p
0.437 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.437 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.437 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.437 * [taylor]: Taking taylor expansion of x in x
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify 1 into 1
0.438 * [backup-simplify]: Simplify (* 1 1) into 1
0.438 * [backup-simplify]: Simplify (/ 1 1) into 1
0.438 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.438 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.438 * [taylor]: Taking taylor expansion of 4 in x
0.438 * [backup-simplify]: Simplify 4 into 4
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
0.439 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.439 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.439 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.439 * [taylor]: Taking taylor expansion of x in x
0.439 * [backup-simplify]: Simplify 0 into 0
0.439 * [backup-simplify]: Simplify 1 into 1
0.439 * [backup-simplify]: Simplify (* 1 1) into 1
0.440 * [backup-simplify]: Simplify (/ 1 1) into 1
0.440 * [backup-simplify]: Simplify (+ 0 1) into 1
0.440 * [taylor]: Taking taylor expansion of 1 in p
0.440 * [backup-simplify]: Simplify 1 into 1
0.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.442 * [backup-simplify]: Simplify (+ 0 0) into 0
0.442 * [taylor]: Taking taylor expansion of 0 in p
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.444 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.444 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.444 * [taylor]: Taking taylor expansion of 4 in p
0.444 * [backup-simplify]: Simplify 4 into 4
0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.444 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.445 * [taylor]: Taking taylor expansion of p in p
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 1 into 1
0.445 * [backup-simplify]: Simplify (* 1 1) into 1
0.445 * [backup-simplify]: Simplify (/ 1 1) into 1
0.446 * [backup-simplify]: Simplify (* 4 1) into 4
0.446 * [backup-simplify]: Simplify 4 into 4
0.446 * [backup-simplify]: Simplify 1 into 1
0.446 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
0.447 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
0.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.449 * [backup-simplify]: Simplify (+ 0 0) into 0
0.449 * [taylor]: Taking taylor expansion of 0 in p
0.449 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.451 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.452 * [backup-simplify]: Simplify 0 into 0
0.452 * [backup-simplify]: Simplify 0 into 0
0.452 * [backup-simplify]: Simplify 0 into 0
0.452 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
0.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))) (* 0 (/ 0 (pow p 2))))) into 0
0.453 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 (pow p 2))))) into 0
0.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.456 * [backup-simplify]: Simplify (+ 0 0) into 0
0.456 * [taylor]: Taking taylor expansion of 0 in p
0.456 * [backup-simplify]: Simplify 0 into 0
0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.459 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4 (pow (* (/ 1 (/ 1 p)) 1) 2))) into (+ (pow x 2) (* 4 (pow p 2)))
0.460 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4)) into (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))
0.460 * [approximate]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in (x p) around 0
0.460 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.460 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.460 * [taylor]: Taking taylor expansion of 4 in p
0.460 * [backup-simplify]: Simplify 4 into 4
0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.460 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.460 * [taylor]: Taking taylor expansion of p in p
0.460 * [backup-simplify]: Simplify 0 into 0
0.460 * [backup-simplify]: Simplify 1 into 1
0.460 * [backup-simplify]: Simplify (* 1 1) into 1
0.461 * [backup-simplify]: Simplify (/ 1 1) into 1
0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.461 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.461 * [taylor]: Taking taylor expansion of x in p
0.461 * [backup-simplify]: Simplify x into x
0.461 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.461 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.461 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.461 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.461 * [taylor]: Taking taylor expansion of 4 in x
0.461 * [backup-simplify]: Simplify 4 into 4
0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.461 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.461 * [taylor]: Taking taylor expansion of p in x
0.461 * [backup-simplify]: Simplify p into p
0.461 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.461 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.461 * [taylor]: Taking taylor expansion of x in x
0.461 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify 1 into 1
0.462 * [backup-simplify]: Simplify (* 1 1) into 1
0.462 * [backup-simplify]: Simplify (/ 1 1) into 1
0.462 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.462 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.462 * [taylor]: Taking taylor expansion of 4 in x
0.462 * [backup-simplify]: Simplify 4 into 4
0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.462 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.462 * [taylor]: Taking taylor expansion of p in x
0.462 * [backup-simplify]: Simplify p into p
0.463 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.463 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.463 * [taylor]: Taking taylor expansion of x in x
0.463 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify 1 into 1
0.463 * [backup-simplify]: Simplify (* 1 1) into 1
0.464 * [backup-simplify]: Simplify (/ 1 1) into 1
0.464 * [backup-simplify]: Simplify (+ 0 1) into 1
0.464 * [taylor]: Taking taylor expansion of 1 in p
0.464 * [backup-simplify]: Simplify 1 into 1
0.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.466 * [backup-simplify]: Simplify (+ 0 0) into 0
0.466 * [taylor]: Taking taylor expansion of 0 in p
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.468 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.468 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.468 * [taylor]: Taking taylor expansion of 4 in p
0.468 * [backup-simplify]: Simplify 4 into 4
0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.468 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.468 * [taylor]: Taking taylor expansion of p in p
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 1 into 1
0.469 * [backup-simplify]: Simplify (* 1 1) into 1
0.469 * [backup-simplify]: Simplify (/ 1 1) into 1
0.470 * [backup-simplify]: Simplify (* 4 1) into 4
0.470 * [backup-simplify]: Simplify 4 into 4
0.470 * [backup-simplify]: Simplify 1 into 1
0.470 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
0.470 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.475 * [backup-simplify]: Simplify (+ 0 0) into 0
0.475 * [taylor]: Taking taylor expansion of 0 in p
0.475 * [backup-simplify]: Simplify 0 into 0
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 1)) into 0
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
0.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))) (* 0 (/ 0 (pow p 2))))) into 0
0.479 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 (pow p 2))))) into 0
0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.482 * [backup-simplify]: Simplify (+ 0 0) into 0
0.482 * [taylor]: Taking taylor expansion of 0 in p
0.482 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.485 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4 (pow (* (/ 1 (/ 1 (- p))) 1) 2))) into (+ (pow x 2) (* 4 (pow p 2)))
0.485 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
0.486 * [backup-simplify]: Simplify (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) into (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))
0.486 * [approximate]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in (x p) around 0
0.486 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in p
0.486 * [taylor]: Taking taylor expansion of 0.5 in p
0.486 * [backup-simplify]: Simplify 0.5 into 0.5
0.486 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p
0.486 * [taylor]: Taking taylor expansion of x in p
0.486 * [backup-simplify]: Simplify x into x
0.486 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p
0.486 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p
0.486 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
0.486 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.486 * [taylor]: Taking taylor expansion of x in p
0.486 * [backup-simplify]: Simplify x into x
0.486 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
0.486 * [taylor]: Taking taylor expansion of 4 in p
0.486 * [backup-simplify]: Simplify 4 into 4
0.486 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.486 * [taylor]: Taking taylor expansion of p in p
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify 1 into 1
0.486 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.486 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.486 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.486 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
0.486 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.487 * [backup-simplify]: Simplify (+ 0 0) into 0
0.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
0.487 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x
0.487 * [taylor]: Taking taylor expansion of 0.5 in x
0.487 * [backup-simplify]: Simplify 0.5 into 0.5
0.487 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
0.487 * [taylor]: Taking taylor expansion of x in x
0.487 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify 1 into 1
0.487 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
0.487 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
0.487 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.488 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.488 * [taylor]: Taking taylor expansion of 4 in x
0.488 * [backup-simplify]: Simplify 4 into 4
0.488 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.488 * [taylor]: Taking taylor expansion of p in x
0.488 * [backup-simplify]: Simplify p into p
0.488 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.488 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.488 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.488 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
0.488 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
0.488 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.489 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.489 * [backup-simplify]: Simplify (+ 0 0) into 0
0.489 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
0.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
0.490 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x
0.490 * [taylor]: Taking taylor expansion of 0.5 in x
0.490 * [backup-simplify]: Simplify 0.5 into 0.5
0.490 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
0.490 * [taylor]: Taking taylor expansion of x in x
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify 1 into 1
0.490 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
0.490 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
0.490 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.490 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.490 * [taylor]: Taking taylor expansion of x in x
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify 1 into 1
0.490 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.490 * [taylor]: Taking taylor expansion of 4 in x
0.490 * [backup-simplify]: Simplify 4 into 4
0.490 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.490 * [taylor]: Taking taylor expansion of p in x
0.490 * [backup-simplify]: Simplify p into p
0.490 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.490 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.490 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.491 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
0.491 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
0.491 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.491 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.492 * [backup-simplify]: Simplify (+ 0 0) into 0
0.492 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
0.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
0.492 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0
0.492 * [backup-simplify]: Simplify (* 0.5 0) into 0
0.492 * [taylor]: Taking taylor expansion of 0 in p
0.492 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p))
0.494 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p))
0.494 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 p)) in p
0.494 * [taylor]: Taking taylor expansion of 0.25 in p
0.494 * [backup-simplify]: Simplify 0.25 into 0.25
0.494 * [taylor]: Taking taylor expansion of (/ 1 p) 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
0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify (* 1 1) into 1
0.496 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
0.497 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
0.497 * [backup-simplify]: Simplify (+ 1 0) into 1
0.497 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 1 (* 4 (pow p 2)))) (* 0 (/ 0 (* 4 (pow p 2)))))) into (- (* 1/16 (/ 1 (pow p 4))))
0.498 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3))
0.498 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0
0.499 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0))) into 0
0.499 * [taylor]: Taking taylor expansion of 0 in p
0.499 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.500 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify (* 0.5 (/ (/ 1 x) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))))) into (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))
0.500 * [approximate]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in (x p) around 0
0.500 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
0.500 * [taylor]: Taking taylor expansion of 0.5 in p
0.501 * [backup-simplify]: Simplify 0.5 into 0.5
0.501 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
0.501 * [taylor]: Taking taylor expansion of (/ 1 x) in p
0.501 * [taylor]: Taking taylor expansion of x in p
0.501 * [backup-simplify]: Simplify x into x
0.501 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.501 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
0.501 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.501 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.501 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.501 * [taylor]: Taking taylor expansion of 4 in p
0.501 * [backup-simplify]: Simplify 4 into 4
0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.501 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.501 * [taylor]: Taking taylor expansion of p in p
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify 1 into 1
0.501 * [backup-simplify]: Simplify (* 1 1) into 1
0.501 * [backup-simplify]: Simplify (/ 1 1) into 1
0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.501 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.501 * [taylor]: Taking taylor expansion of x in p
0.501 * [backup-simplify]: Simplify x into x
0.501 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.501 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.502 * [backup-simplify]: Simplify (* 4 1) into 4
0.502 * [backup-simplify]: Simplify (+ 4 0) into 4
0.502 * [backup-simplify]: Simplify (/ 1 4) into 1/4
0.502 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
0.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.504 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.504 * [backup-simplify]: Simplify (+ 0 0) into 0
0.504 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
0.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
0.505 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.505 * [taylor]: Taking taylor expansion of 0.5 in x
0.505 * [backup-simplify]: Simplify 0.5 into 0.5
0.505 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.505 * [taylor]: Taking taylor expansion of x in x
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify 1 into 1
0.505 * [backup-simplify]: Simplify (/ 1 1) into 1
0.505 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.505 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.505 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.505 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.505 * [taylor]: Taking taylor expansion of 4 in x
0.505 * [backup-simplify]: Simplify 4 into 4
0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.505 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.505 * [taylor]: Taking taylor expansion of p in x
0.505 * [backup-simplify]: Simplify p into p
0.505 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.506 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.506 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.506 * [taylor]: Taking taylor expansion of x in x
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify 1 into 1
0.506 * [backup-simplify]: Simplify (* 1 1) into 1
0.506 * [backup-simplify]: Simplify (/ 1 1) into 1
0.506 * [backup-simplify]: Simplify (+ 0 1) into 1
0.507 * [backup-simplify]: Simplify (/ 1 1) into 1
0.507 * [backup-simplify]: Simplify (sqrt 1) into 1
0.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.508 * [backup-simplify]: Simplify (+ 0 0) into 0
0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.509 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.509 * [taylor]: Taking taylor expansion of 0.5 in x
0.509 * [backup-simplify]: Simplify 0.5 into 0.5
0.509 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.509 * [taylor]: Taking taylor expansion of x in x
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify 1 into 1
0.509 * [backup-simplify]: Simplify (/ 1 1) into 1
0.509 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.509 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.509 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.509 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.509 * [taylor]: Taking taylor expansion of 4 in x
0.509 * [backup-simplify]: Simplify 4 into 4
0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.509 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.509 * [taylor]: Taking taylor expansion of p in x
0.509 * [backup-simplify]: Simplify p into p
0.509 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.509 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.509 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.509 * [taylor]: Taking taylor expansion of x in x
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify 1 into 1
0.510 * [backup-simplify]: Simplify (* 1 1) into 1
0.510 * [backup-simplify]: Simplify (/ 1 1) into 1
0.510 * [backup-simplify]: Simplify (+ 0 1) into 1
0.510 * [backup-simplify]: Simplify (/ 1 1) into 1
0.511 * [backup-simplify]: Simplify (sqrt 1) into 1
0.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.512 * [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 * [backup-simplify]: Simplify (* 1 1) into 1
0.513 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
0.513 * [taylor]: Taking taylor expansion of 0.5 in p
0.513 * [backup-simplify]: Simplify 0.5 into 0.5
0.513 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.514 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
0.514 * [taylor]: Taking taylor expansion of 0 in p
0.514 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
0.517 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.518 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
0.518 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2))))
0.519 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow p 2)))) in p
0.519 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p
0.519 * [taylor]: Taking taylor expansion of 1.0 in p
0.519 * [backup-simplify]: Simplify 1.0 into 1.0
0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.519 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.519 * [taylor]: Taking taylor expansion of p in p
0.519 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify 1 into 1
0.519 * [backup-simplify]: Simplify (* 1 1) into 1
0.519 * [backup-simplify]: Simplify (/ 1 1) into 1
0.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.523 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.523 * [backup-simplify]: Simplify (- 0) into 0
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify (* 0.5 (/ (/ 1 (- x)) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))))) into (* -0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))
0.524 * [approximate]: Taking taylor expansion of (* -0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in (x p) around 0
0.524 * [taylor]: Taking taylor expansion of (* -0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
0.524 * [taylor]: Taking taylor expansion of -0.5 in p
0.524 * [backup-simplify]: Simplify -0.5 into -0.5
0.524 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in p
0.524 * [taylor]: Taking taylor expansion of x in p
0.524 * [backup-simplify]: Simplify x into x
0.524 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.524 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
0.524 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.524 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.524 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.524 * [taylor]: Taking taylor expansion of 4 in p
0.524 * [backup-simplify]: Simplify 4 into 4
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
0.524 * [backup-simplify]: Simplify (* 1 1) into 1
0.525 * [backup-simplify]: Simplify (/ 1 1) into 1
0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.525 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.525 * [taylor]: Taking taylor expansion of x in p
0.525 * [backup-simplify]: Simplify x into x
0.525 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.525 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.525 * [backup-simplify]: Simplify (* 4 1) into 4
0.525 * [backup-simplify]: Simplify (+ 4 0) into 4
0.526 * [backup-simplify]: Simplify (/ 1 4) into 1/4
0.526 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
0.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.527 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.528 * [backup-simplify]: Simplify (+ 0 0) into 0
0.528 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
0.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
0.529 * [taylor]: Taking taylor expansion of (* -0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.529 * [taylor]: Taking taylor expansion of -0.5 in x
0.529 * [backup-simplify]: Simplify -0.5 into -0.5
0.529 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.529 * [taylor]: Taking taylor expansion of x in x
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 1 into 1
0.529 * [backup-simplify]: Simplify (/ 1 1) into 1
0.529 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.529 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.529 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.529 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.529 * [taylor]: Taking taylor expansion of 4 in x
0.529 * [backup-simplify]: Simplify 4 into 4
0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.529 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.529 * [taylor]: Taking taylor expansion of p in x
0.529 * [backup-simplify]: Simplify p into p
0.529 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.529 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.529 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.529 * [taylor]: Taking taylor expansion of x in x
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 1 into 1
0.530 * [backup-simplify]: Simplify (* 1 1) into 1
0.530 * [backup-simplify]: Simplify (/ 1 1) into 1
0.530 * [backup-simplify]: Simplify (+ 0 1) into 1
0.530 * [backup-simplify]: Simplify (/ 1 1) into 1
0.531 * [backup-simplify]: Simplify (sqrt 1) into 1
0.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.532 * [backup-simplify]: Simplify (+ 0 0) into 0
0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.532 * [taylor]: Taking taylor expansion of (* -0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.533 * [taylor]: Taking taylor expansion of -0.5 in x
0.533 * [backup-simplify]: Simplify -0.5 into -0.5
0.533 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.533 * [taylor]: Taking taylor expansion of x in x
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 1 into 1
0.533 * [backup-simplify]: Simplify (/ 1 1) into 1
0.533 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.533 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.533 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.533 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.533 * [taylor]: Taking taylor expansion of 4 in x
0.533 * [backup-simplify]: Simplify 4 into 4
0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.533 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.533 * [taylor]: Taking taylor expansion of p in x
0.533 * [backup-simplify]: Simplify p into p
0.533 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.533 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.533 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.533 * [taylor]: Taking taylor expansion of x in x
0.533 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 1 into 1
0.534 * [backup-simplify]: Simplify (* 1 1) into 1
0.534 * [backup-simplify]: Simplify (/ 1 1) into 1
0.535 * [backup-simplify]: Simplify (+ 0 1) into 1
0.535 * [backup-simplify]: Simplify (/ 1 1) into 1
0.535 * [backup-simplify]: Simplify (sqrt 1) into 1
0.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (+ 0 0) into 0
0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.539 * [backup-simplify]: Simplify (* 1 1) into 1
0.539 * [backup-simplify]: Simplify (* -0.5 1) into -0.5
0.539 * [taylor]: Taking taylor expansion of -0.5 in p
0.539 * [backup-simplify]: Simplify -0.5 into -0.5
0.539 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.541 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 1)) into 0
0.541 * [taylor]: Taking taylor expansion of 0 in p
0.541 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.543 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
0.545 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.547 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
0.548 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (* 1.0 (/ 1 (pow p 2)))
0.548 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p
0.548 * [taylor]: Taking taylor expansion of 1.0 in p
0.548 * [backup-simplify]: Simplify 1.0 into 1.0
0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.548 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.548 * [taylor]: Taking taylor expansion of p in p
0.548 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify 1 into 1
0.548 * [backup-simplify]: Simplify (* 1 1) into 1
0.548 * [backup-simplify]: Simplify (/ 1 1) into 1
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.554 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * * * [progress]: simplifying candidates
0.554 * * * * [progress]: [ 1 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (pow (+ (* x x) (* (* p p) 4)) 1/2))) 0.5)))>
0.554 * * * * [progress]: [ 2 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (pow (sqrt (+ (* x x) (* (* p p) 4))) 1))) 0.5)))>
0.554 * * * * [progress]: [ 3 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (exp (log (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.554 * * * * [progress]: [ 4 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (log (exp (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.554 * * * * [progress]: [ 5 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4))))) (cbrt (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.554 * * * * [progress]: [ 6 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (cbrt (* (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.554 * * * * [progress]: [ 7 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4))))) (sqrt (cbrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.554 * * * * [progress]: [ 8 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.554 * * * * [progress]: [ 9 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* (sqrt 1) (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.554 * * * * [progress]: [ 10 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p p) 4) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* (* p p) 4)))))))) 0.5)))>
0.554 * * * * [progress]: [ 11 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4)))) (sqrt (- (* x x) (* (* p p) 4)))))) 0.5)))>
0.554 * * * * [progress]: [ 12 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (pow (+ (* x x) (* (* p p) 4)) (/ 1 2)))) 0.5)))>
0.554 * * * * [progress]: [ 13 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.554 * * * * [progress]: [ 14 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (fabs (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.554 * * * * [progress]: [ 15 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* 1 (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.554 * * * * [progress]: [ 16 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (log (* (exp (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (exp 0.5)))))>
0.555 * * * * [progress]: [ 17 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (pow (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5) 1)))>
0.555 * * * * [progress]: [ 18 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (exp (log (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))))>
0.555 * * * * [progress]: [ 19 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (log (exp (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))))>
0.555 * * * * [progress]: [ 20 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (* (* (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)) (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))) (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))))>
0.555 * * * * [progress]: [ 21 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (cbrt (* (* (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5) (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)) (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))))>
0.555 * * * * [progress]: [ 22 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (* (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))))>
0.555 * * * * [progress]: [ 23 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (pow (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 3) (pow 0.5 3)) (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))))))>
0.555 * * * * [progress]: [ 24 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (* 1 (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))))>
0.555 * * * * [progress]: [ 25 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (- (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 0.5)) (- (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))))>
0.555 * * * * [progress]: [ 26 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))))>
0.555 * * * * [progress]: [ 27 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (log (* (exp (* x x)) (exp (* (* p p) 4))))))) 0.5)))>
0.555 * * * * [progress]: [ 28 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (pow (+ (* x x) (* (* p p) 4)) 1)))) 0.5)))>
0.555 * * * * [progress]: [ 29 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (exp (log (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.555 * * * * [progress]: [ 30 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (log (exp (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.555 * * * * [progress]: [ 31 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (* (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4)))) (cbrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.555 * * * * [progress]: [ 32 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (cbrt (* (* (+ (* x x) (* (* p p) 4)) (+ (* x x) (* (* p p) 4))) (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.555 * * * * [progress]: [ 33 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.555 * * * * [progress]: [ 34 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (/ (+ (pow (* x x) 3) (pow (* (* p p) 4) 3)) (+ (* (* x x) (* x x)) (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* (* p p) 4)))))))) 0.5)))>
0.555 * * * * [progress]: [ 35 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (* 1 (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.555 * * * * [progress]: [ 36 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (/ (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4)))))) 0.5)))>
0.555 * * * * [progress]: [ 37 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* (* p p) 4) (* x x))))) 0.5)))>
0.555 * * * * [progress]: [ 38 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (pow (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 1) 0.5)))>
0.555 * * * * [progress]: [ 39 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (pow (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 1) 0.5)))>
0.555 * * * * [progress]: [ 40 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (exp (+ (log 0.5) (- (log x) (log (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.555 * * * * [progress]: [ 41 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (exp (+ (log 0.5) (log (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.556 * * * * [progress]: [ 42 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (exp (log (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.556 * * * * [progress]: [ 43 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (log (exp (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.556 * * * * [progress]: [ 44 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 0.5) 0.5) (/ (* (* x x) x) (* (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.556 * * * * [progress]: [ 45 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 0.5) 0.5) (* (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.556 * * * * [progress]: [ 46 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* (cbrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (cbrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) (cbrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.556 * * * * [progress]: [ 47 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.556 * * * * [progress]: [ 48 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (sqrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (sqrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.556 * * * * [progress]: [ 49 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 1 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.556 * * * * [progress]: [ 50 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* (sqrt 0.5) (sqrt (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* (sqrt 0.5) (sqrt (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.556 * * * * [progress]: [ 51 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.556 * * * * [progress]: [ 52 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.556 * * * * [progress]: [ 53 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (* (cbrt (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (cbrt (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) (cbrt (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.556 * * * * [progress]: [ 54 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (sqrt (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (sqrt (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.556 * * * * [progress]: [ 55 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4))))))) (/ (cbrt x) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.556 * * * * [progress]: [ 56 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4))))))) (/ (cbrt x) (sqrt (cbrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.556 * * * * [progress]: [ 57 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.556 * * * * [progress]: [ 58 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt 1))) (/ (cbrt x) (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))>
0.556 * * * * [progress]: [ 59 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.556 * * * * [progress]: [ 60 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (* (cbrt x) (cbrt x)) 1)) (/ (cbrt x) (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))>
0.556 * * * * [progress]: [ 61 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (sqrt x) (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4))))))) (/ (sqrt x) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.556 * * * * [progress]: [ 62 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (sqrt x) (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4))))))) (/ (sqrt x) (sqrt (cbrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.556 * * * * [progress]: [ 63 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.556 * * * * [progress]: [ 64 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (sqrt x) (sqrt 1))) (/ (sqrt x) (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))>
0.557 * * * * [progress]: [ 65 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.557 * * * * [progress]: [ 66 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (sqrt x) 1)) (/ (sqrt x) (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))>
0.557 * * * * [progress]: [ 67 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ 1 (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4))))))) (/ x (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.557 * * * * [progress]: [ 68 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ 1 (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4))))))) (/ x (sqrt (cbrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.557 * * * * [progress]: [ 69 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ 1 (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (/ x (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.557 * * * * [progress]: [ 70 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ 1 (sqrt 1))) (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))>
0.557 * * * * [progress]: [ 71 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ 1 (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (/ x (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.557 * * * * [progress]: [ 72 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ 1 1)) (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))>
0.557 * * * * [progress]: [ 73 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 1) (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))>
0.557 * * * * [progress]: [ 74 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 x) (/ 1 (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))>
0.557 * * * * [progress]: [ 75 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (pow (* x x) 3) (pow (* (* p p) 4) 3))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* (* p p) 4)))))) 0.5)))>
0.557 * * * * [progress]: [ 76 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ x (sqrt (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4)))))) (sqrt (- (* x x) (* (* p p) 4)))) 0.5)))>
0.557 * * * * [progress]: [ 77 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.557 * * * * [progress]: [ 78 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (sqrt 0.5) (* (sqrt 0.5) (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.557 * * * * [progress]: [ 79 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 1 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.557 * * * * [progress]: [ 80 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* (* p p) 4)))) 0.5)))>
0.557 * * * * [progress]: [ 81 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) 0.5) 0.5)))>
0.557 * * * * [progress]: [ 82 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* 2 p))) 0.5)))>
0.557 * * * * [progress]: [ 83 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x x)) 0.5)))>
0.557 * * * * [progress]: [ 84 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* -1 x))) 0.5)))>
0.557 * * * * [progress]: [ 85 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt 0.5))>
0.557 * * * * [progress]: [ 86 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt 1.0))>
0.557 * * * * [progress]: [ 87 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt 0))>
0.557 * * * * [progress]: [ 88 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (pow x 2) (* 4 (pow p 2)))))) 0.5)))>
0.557 * * * * [progress]: [ 89 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (pow x 2) (* 4 (pow p 2)))))) 0.5)))>
0.557 * * * * [progress]: [ 90 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (pow x 2) (* 4 (pow p 2)))))) 0.5)))>
0.557 * * * * [progress]: [ 91 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0 0.5)))>
0.557 * * * * [progress]: [ 92 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0 0.5)))>
0.557 * * * * [progress]: [ 93 / 93 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0 0.5)))>
0.558 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* (* p p) 4))))
  (exp (sqrt (+ (* x x) (* (* p p) 4))))
  (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4))))
  (* (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4)))))
  (sqrt (cbrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* p p) 4)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* p p) 4) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* (* p p) 4)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4))))
  (sqrt (- (* x x) (* (* p p) 4)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (* (exp (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (exp 0.5))
  (log (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))
  (exp (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))
  (* (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)) (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))
  (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))
  (* (* (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5) (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)) (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))
  (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))
  (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))
  (+ (pow (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 3) (pow 0.5 3))
  (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))
  (- (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 0.5))
  (- (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)
  (* (exp (* x x)) (exp (* (* p p) 4)))
  (log (+ (* x x) (* (* p p) 4)))
  (exp (+ (* x x) (* (* p p) 4)))
  (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4))))
  (cbrt (+ (* x x) (* (* p p) 4)))
  (* (* (+ (* x x) (* (* p p) 4)) (+ (* x x) (* (* p p) 4))) (+ (* x x) (* (* p p) 4)))
  (sqrt (+ (* x x) (* (* p p) 4)))
  (sqrt (+ (* x x) (* (* p p) 4)))
  (+ (pow (* x x) 3) (pow (* (* p p) 4) 3))
  (+ (* (* x x) (* x x)) (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* (* p p) 4))))
  (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4)))
  (- (* x x) (* (* p p) 4))
  (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))
  (+ (log 0.5) (- (log x) (log (sqrt (+ (* x x) (* (* p p) 4))))))
  (+ (log 0.5) (log (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (log (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (exp (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (* (* (* 0.5 0.5) 0.5) (/ (* (* x x) x) (* (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (+ (* x x) (* (* p p) 4))))))
  (* (* (* 0.5 0.5) 0.5) (* (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (* (cbrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (cbrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))))
  (cbrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (sqrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (sqrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (* (sqrt 0.5) (sqrt (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (* (sqrt 0.5) (sqrt (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))
  (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))
  (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))
  (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))
  (* 0.5 (* (cbrt (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (cbrt (/ x (sqrt (+ (* x x) (* (* p p) 4)))))))
  (* 0.5 (sqrt (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (* 0.5 (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))))
  (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4)))))))
  (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))
  (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt 1)))
  (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))
  (* 0.5 (/ (* (cbrt x) (cbrt x)) 1))
  (* 0.5 (/ (sqrt x) (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))))
  (* 0.5 (/ (sqrt x) (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4)))))))
  (* 0.5 (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))
  (* 0.5 (/ (sqrt x) (sqrt 1)))
  (* 0.5 (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))
  (* 0.5 (/ (sqrt x) 1))
  (* 0.5 (/ 1 (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))))
  (* 0.5 (/ 1 (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4)))))))
  (* 0.5 (/ 1 (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))
  (* 0.5 (/ 1 (sqrt 1)))
  (* 0.5 (/ 1 (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))
  (* 0.5 (/ 1 1))
  (* 0.5 1)
  (* 0.5 x)
  (* 0.5 (/ x (sqrt (+ (pow (* x x) 3) (pow (* (* p p) 4) 3)))))
  (* 0.5 (/ x (sqrt (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4))))))
  (* (cbrt 0.5) (/ x (sqrt (+ (* x x) (* (* p p) 4)))))
  (* (sqrt 0.5) (/ x (sqrt (+ (* x x) (* (* p p) 4)))))
  (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))
  (* 0.5 x)
  (* 2 p)
  x
  (* -1 x)
  0.5
  1.0
  0
  (+ (pow x 2) (* 4 (pow p 2)))
  (+ (pow x 2) (* 4 (pow p 2)))
  (+ (pow x 2) (* 4 (pow p 2)))
  0
  0
  0
0.560 * * [simplify]: iteration 1: (146 enodes)
0.605 * * [simplify]: iteration 2: (396 enodes)
0.870 * * [simplify]: iteration 3: (1246 enodes)
2.419 * * [simplify]: Extracting #0: cost 68 inf + 0
2.421 * * [simplify]: Extracting #1: cost 498 inf + 48
2.429 * * [simplify]: Extracting #2: cost 1170 inf + 4792
2.446 * * [simplify]: Extracting #3: cost 1139 inf + 29195
2.499 * * [simplify]: Extracting #4: cost 686 inf + 129450
2.579 * * [simplify]: Extracting #5: cost 178 inf + 307523
2.666 * * [simplify]: Extracting #6: cost 0 inf + 381203
2.793 * [simplify]: Simplified to:
  (log (sqrt (+ (* p (* 4 p)) (* x x))))
  (exp (sqrt (+ (* p (* 4 p)) (* x x))))
  (* (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))))
  (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (* (+ (* p (* 4 p)) (* x x)) (sqrt (+ (* p (* 4 p)) (* x x))))
  (fabs (cbrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (cbrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  1
  (sqrt (+ (* p (* 4 p)) (* x x)))
  (sqrt (+ (* (* p p) (* (* (* p p) (* p p)) 64)) (* (* x (* x x)) (* x (* x x)))))
  (sqrt (+ (* (- (* p (* 4 p)) (* x x)) (* p (* 4 p))) (* (* x x) (* x x))))
  (sqrt (- (* (* x x) (* x x)) (* 16 (* (* p p) (* p p)))))
  (sqrt (- (* x x) (* p (* 4 p))))
  1/2
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (exp (+ (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x)))) 0.5))
  (log (+ (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x)))) 0.5))
  (exp (+ (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x)))) 0.5))
  (* (cbrt (+ (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x)))) 0.5)) (cbrt (+ (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x)))) 0.5)))
  (cbrt (+ (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x)))) 0.5))
  (* (* (+ (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x)))) 0.5) (+ (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x)))) 0.5)) (+ (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x)))) 0.5))
  (sqrt (+ (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x)))) 0.5))
  (sqrt (+ (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x)))) 0.5))
  (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x)))))))
  (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x))))))))
  (- (* (* 0.5 0.5) (/ (* x x) (+ (* p (* 4 p)) (* x x)))) (* 0.5 0.5))
  (- (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x)))) 0.5)
  (exp (+ (* p (* 4 p)) (* x x)))
  (log (+ (* p (* 4 p)) (* x x)))
  (exp (+ (* p (* 4 p)) (* x x)))
  (* (cbrt (+ (* p (* 4 p)) (* x x))) (cbrt (+ (* p (* 4 p)) (* x x))))
  (cbrt (+ (* p (* 4 p)) (* x x)))
  (* (+ (* p (* 4 p)) (* x x)) (* (+ (* p (* 4 p)) (* x x)) (+ (* p (* 4 p)) (* x x))))
  (sqrt (+ (* p (* 4 p)) (* x x)))
  (sqrt (+ (* p (* 4 p)) (* x x)))
  (+ (* (* p p) (* (* (* p p) (* p p)) 64)) (* (* x (* x x)) (* x (* x x))))
  (+ (* (- (* p (* 4 p)) (* x x)) (* p (* 4 p))) (* (* x x) (* x x)))
  (- (* (* x x) (* x x)) (* 16 (* (* p p) (* p p))))
  (- (* x x) (* p (* 4 p)))
  (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x))))
  (log (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x)))))
  (log (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x)))))
  (log (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x)))))
  (exp (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x)))))
  (/ (* (* x 0.5) (* (* x 0.5) (* x 0.5))) (* (+ (* p (* 4 p)) (* x x)) (sqrt (+ (* p (* 4 p)) (* x x)))))
  (/ (* (* x 0.5) (* (* x 0.5) (* x 0.5))) (* (+ (* p (* 4 p)) (* x x)) (sqrt (+ (* p (* 4 p)) (* x x)))))
  (* (cbrt (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x))))) (cbrt (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x))))))
  (cbrt (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x)))))
  (/ (* (* x 0.5) (* (* x 0.5) (* x 0.5))) (* (+ (* p (* 4 p)) (* x x)) (sqrt (+ (* p (* 4 p)) (* x x)))))
  (sqrt (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x)))))
  (sqrt (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x)))))
  (* (sqrt 0.5) (sqrt (/ x (sqrt (+ (* p (* 4 p)) (* x x))))))
  (* (sqrt 0.5) (sqrt (/ x (sqrt (+ (* p (* 4 p)) (* x x))))))
  (/ (* (sqrt x) (sqrt 0.5)) (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))))
  (/ (* (sqrt x) (sqrt 0.5)) (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))))
  (/ (* (sqrt x) (sqrt 0.5)) (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))))
  (/ (* (sqrt x) (sqrt 0.5)) (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))))
  (* (cbrt (/ x (sqrt (+ (* p (* 4 p)) (* x x))))) (* 0.5 (cbrt (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))
  (* 0.5 (sqrt (/ x (sqrt (+ (* p (* 4 p)) (* x x))))))
  (/ 0.5 (* (/ (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))) (cbrt x)) (/ (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))) (cbrt x))))
  (* (/ (cbrt x) (fabs (cbrt (+ (* p (* 4 p)) (* x x))))) (* (cbrt x) 0.5))
  (* (/ (* 0.5 (cbrt x)) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))) (cbrt x))
  (* (* 0.5 (cbrt x)) (cbrt x))
  (* (/ (* 0.5 (cbrt x)) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))) (cbrt x))
  (* (* 0.5 (cbrt x)) (cbrt x))
  (* 0.5 (/ (/ (sqrt x) (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))))
  (* (/ (sqrt x) (fabs (cbrt (+ (* p (* 4 p)) (* x x))))) 0.5)
  (/ (* (sqrt x) 0.5) (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))))
  (* 0.5 (sqrt x))
  (/ (* (sqrt x) 0.5) (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))))
  (* 0.5 (sqrt x))
  (/ 0.5 (* (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))))
  (/ 0.5 (fabs (cbrt (+ (* p (* 4 p)) (* x x)))))
  (/ 0.5 (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))))
  0.5
  (/ 0.5 (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))))
  0.5
  0.5
  (* 0.5 x)
  (/ (* x 0.5) (sqrt (+ (* (* p p) (* (* (* p p) (* p p)) 64)) (* (* x (* x x)) (* x (* x x))))))
  (* (/ x (sqrt (- (* (* x x) (* x x)) (* 16 (* (* p p) (* p p)))))) 0.5)
  (/ (* x (cbrt 0.5)) (sqrt (+ (* p (* 4 p)) (* x x))))
  (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt 0.5))
  (/ (* x 0.5) (sqrt (+ (* p (* 4 p)) (* x x))))
  (* 0.5 x)
  (* p 2)
  x
  (- x)
  0.5
  1.0
  0
  (+ (* p (* 4 p)) (* x x))
  (+ (* p (* 4 p)) (* x x))
  (+ (* p (* 4 p)) (* x x))
  0
  0
  0
2.801 * * * [progress]: adding candidates to table
3.809 * * [progress]: iteration 2 / 4
3.809 * * * [progress]: picking best candidate
3.831 * * * * [pick]: Picked  #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
3.831 * * * [progress]: localizing error
3.915 * * * [progress]: generating rewritten candidates
3.915 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2 2 2 2)
3.942 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 2)
3.979 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 2)
4.004 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2)
4.021 * * * [progress]: generating series expansions
4.021 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2 2 2 2)
4.021 * [backup-simplify]: Simplify (sqrt (+ (* p (* 4 p)) (* x x))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
4.021 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (p x) around 0
4.022 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
4.022 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
4.022 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.022 * [taylor]: Taking taylor expansion of x in x
4.022 * [backup-simplify]: Simplify 0 into 0
4.022 * [backup-simplify]: Simplify 1 into 1
4.022 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
4.022 * [taylor]: Taking taylor expansion of 4 in x
4.022 * [backup-simplify]: Simplify 4 into 4
4.022 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.022 * [taylor]: Taking taylor expansion of p in x
4.022 * [backup-simplify]: Simplify p into p
4.022 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.022 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
4.022 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
4.022 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
4.022 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
4.023 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
4.024 * [backup-simplify]: Simplify (+ 0 0) into 0
4.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
4.024 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
4.024 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
4.024 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.024 * [taylor]: Taking taylor expansion of x in p
4.024 * [backup-simplify]: Simplify x into x
4.024 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
4.024 * [taylor]: Taking taylor expansion of 4 in p
4.024 * [backup-simplify]: Simplify 4 into 4
4.024 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.024 * [taylor]: Taking taylor expansion of p in p
4.024 * [backup-simplify]: Simplify 0 into 0
4.024 * [backup-simplify]: Simplify 1 into 1
4.024 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.024 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.024 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.024 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.025 * [backup-simplify]: Simplify (+ 0 0) into 0
4.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.025 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
4.025 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
4.025 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.025 * [taylor]: Taking taylor expansion of x in p
4.025 * [backup-simplify]: Simplify x into x
4.025 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
4.025 * [taylor]: Taking taylor expansion of 4 in p
4.025 * [backup-simplify]: Simplify 4 into 4
4.025 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.025 * [taylor]: Taking taylor expansion of p in p
4.025 * [backup-simplify]: Simplify 0 into 0
4.025 * [backup-simplify]: Simplify 1 into 1
4.025 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.025 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.025 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.026 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.026 * [backup-simplify]: Simplify (+ 0 0) into 0
4.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.026 * [taylor]: Taking taylor expansion of x in x
4.026 * [backup-simplify]: Simplify 0 into 0
4.026 * [backup-simplify]: Simplify 1 into 1
4.026 * [backup-simplify]: Simplify 0 into 0
4.026 * [taylor]: Taking taylor expansion of 0 in x
4.026 * [backup-simplify]: Simplify 0 into 0
4.026 * [backup-simplify]: Simplify 0 into 0
4.026 * [backup-simplify]: Simplify 1 into 1
4.027 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.027 * [backup-simplify]: Simplify (* 1 1) into 1
4.028 * [backup-simplify]: Simplify (* 4 1) into 4
4.028 * [backup-simplify]: Simplify (+ 0 4) into 4
4.029 * [backup-simplify]: Simplify (/ (- 4 (pow 0 2) (+)) (* 2 x)) into (/ 2 x)
4.029 * [taylor]: Taking taylor expansion of (/ 2 x) in x
4.029 * [taylor]: Taking taylor expansion of 2 in x
4.029 * [backup-simplify]: Simplify 2 into 2
4.029 * [taylor]: Taking taylor expansion of x in x
4.029 * [backup-simplify]: Simplify 0 into 0
4.029 * [backup-simplify]: Simplify 1 into 1
4.030 * [backup-simplify]: Simplify (/ 2 1) into 2
4.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
4.030 * [backup-simplify]: Simplify 0 into 0
4.031 * [backup-simplify]: Simplify 0 into 0
4.031 * [backup-simplify]: Simplify 0 into 0
4.031 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
4.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.033 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
4.033 * [backup-simplify]: Simplify (+ 0 0) into 0
4.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 x))))) (* 2 x)) into 0
4.033 * [taylor]: Taking taylor expansion of 0 in x
4.033 * [backup-simplify]: Simplify 0 into 0
4.033 * [backup-simplify]: Simplify 0 into 0
4.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.034 * [backup-simplify]: Simplify 0 into 0
4.034 * [backup-simplify]: Simplify 0 into 0
4.034 * [backup-simplify]: Simplify (* 1 (* x 1)) into x
4.034 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 p) (* 4 (/ 1 p))) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
4.034 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0
4.034 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
4.034 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
4.034 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
4.034 * [taylor]: Taking taylor expansion of 4 in x
4.034 * [backup-simplify]: Simplify 4 into 4
4.034 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
4.034 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.034 * [taylor]: Taking taylor expansion of p in x
4.034 * [backup-simplify]: Simplify p into p
4.035 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.035 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
4.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.035 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.035 * [taylor]: Taking taylor expansion of x in x
4.035 * [backup-simplify]: Simplify 0 into 0
4.035 * [backup-simplify]: Simplify 1 into 1
4.035 * [backup-simplify]: Simplify (* 1 1) into 1
4.035 * [backup-simplify]: Simplify (/ 1 1) into 1
4.035 * [backup-simplify]: Simplify (+ 0 1) into 1
4.036 * [backup-simplify]: Simplify (sqrt 1) into 1
4.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.037 * [backup-simplify]: Simplify (+ 0 0) into 0
4.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.037 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
4.037 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
4.037 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
4.037 * [taylor]: Taking taylor expansion of 4 in p
4.037 * [backup-simplify]: Simplify 4 into 4
4.037 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
4.037 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.037 * [taylor]: Taking taylor expansion of p in p
4.037 * [backup-simplify]: Simplify 0 into 0
4.037 * [backup-simplify]: Simplify 1 into 1
4.038 * [backup-simplify]: Simplify (* 1 1) into 1
4.038 * [backup-simplify]: Simplify (/ 1 1) into 1
4.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
4.038 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.038 * [taylor]: Taking taylor expansion of x in p
4.038 * [backup-simplify]: Simplify x into x
4.038 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.038 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.038 * [backup-simplify]: Simplify (* 4 1) into 4
4.039 * [backup-simplify]: Simplify (+ 4 0) into 4
4.039 * [backup-simplify]: Simplify (sqrt 4) into 2
4.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.040 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
4.040 * [backup-simplify]: Simplify (+ 0 0) into 0
4.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
4.041 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
4.041 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
4.041 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
4.041 * [taylor]: Taking taylor expansion of 4 in p
4.041 * [backup-simplify]: Simplify 4 into 4
4.041 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
4.041 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.041 * [taylor]: Taking taylor expansion of p in p
4.041 * [backup-simplify]: Simplify 0 into 0
4.041 * [backup-simplify]: Simplify 1 into 1
4.041 * [backup-simplify]: Simplify (* 1 1) into 1
4.041 * [backup-simplify]: Simplify (/ 1 1) into 1
4.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
4.042 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.042 * [taylor]: Taking taylor expansion of x in p
4.042 * [backup-simplify]: Simplify x into x
4.042 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.042 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.042 * [backup-simplify]: Simplify (* 4 1) into 4
4.042 * [backup-simplify]: Simplify (+ 4 0) into 4
4.042 * [backup-simplify]: Simplify (sqrt 4) into 2
4.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.044 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
4.044 * [backup-simplify]: Simplify (+ 0 0) into 0
4.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
4.044 * [taylor]: Taking taylor expansion of 2 in x
4.044 * [backup-simplify]: Simplify 2 into 2
4.045 * [taylor]: Taking taylor expansion of 0 in x
4.045 * [backup-simplify]: Simplify 0 into 0
4.045 * [backup-simplify]: Simplify 2 into 2
4.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.046 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
4.046 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
4.047 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2))
4.047 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x
4.047 * [taylor]: Taking taylor expansion of 1/4 in x
4.047 * [backup-simplify]: Simplify 1/4 into 1/4
4.047 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.047 * [taylor]: Taking taylor expansion of x in x
4.047 * [backup-simplify]: Simplify 0 into 0
4.047 * [backup-simplify]: Simplify 1 into 1
4.047 * [backup-simplify]: Simplify (* 1 1) into 1
4.048 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
4.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
4.049 * [backup-simplify]: Simplify 0 into 0
4.049 * [backup-simplify]: Simplify 0 into 0
4.049 * [backup-simplify]: Simplify 0 into 0
4.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.052 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.052 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.052 * [backup-simplify]: Simplify (+ 0 0) into 0
4.053 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0
4.053 * [taylor]: Taking taylor expansion of 0 in x
4.053 * [backup-simplify]: Simplify 0 into 0
4.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.054 * [backup-simplify]: Simplify 0 into 0
4.054 * [backup-simplify]: Simplify 0 into 0
4.054 * [backup-simplify]: Simplify 0 into 0
4.054 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 p)))) into (* 2 p)
4.055 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- p)) (* 4 (/ 1 (- p)))) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
4.055 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0
4.055 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
4.055 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
4.055 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
4.055 * [taylor]: Taking taylor expansion of 4 in x
4.055 * [backup-simplify]: Simplify 4 into 4
4.055 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
4.055 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.055 * [taylor]: Taking taylor expansion of p in x
4.055 * [backup-simplify]: Simplify p into p
4.055 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.055 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
4.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.055 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.055 * [taylor]: Taking taylor expansion of x in x
4.055 * [backup-simplify]: Simplify 0 into 0
4.055 * [backup-simplify]: Simplify 1 into 1
4.055 * [backup-simplify]: Simplify (* 1 1) into 1
4.056 * [backup-simplify]: Simplify (/ 1 1) into 1
4.056 * [backup-simplify]: Simplify (+ 0 1) into 1
4.056 * [backup-simplify]: Simplify (sqrt 1) into 1
4.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.057 * [backup-simplify]: Simplify (+ 0 0) into 0
4.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.058 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
4.058 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
4.058 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
4.058 * [taylor]: Taking taylor expansion of 4 in p
4.058 * [backup-simplify]: Simplify 4 into 4
4.058 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
4.058 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.058 * [taylor]: Taking taylor expansion of p in p
4.058 * [backup-simplify]: Simplify 0 into 0
4.058 * [backup-simplify]: Simplify 1 into 1
4.058 * [backup-simplify]: Simplify (* 1 1) into 1
4.058 * [backup-simplify]: Simplify (/ 1 1) into 1
4.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
4.058 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.058 * [taylor]: Taking taylor expansion of x in p
4.058 * [backup-simplify]: Simplify x into x
4.058 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.059 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.059 * [backup-simplify]: Simplify (* 4 1) into 4
4.059 * [backup-simplify]: Simplify (+ 4 0) into 4
4.059 * [backup-simplify]: Simplify (sqrt 4) into 2
4.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.061 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
4.061 * [backup-simplify]: Simplify (+ 0 0) into 0
4.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
4.061 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
4.061 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
4.061 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
4.061 * [taylor]: Taking taylor expansion of 4 in p
4.061 * [backup-simplify]: Simplify 4 into 4
4.061 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
4.061 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.061 * [taylor]: Taking taylor expansion of p in p
4.061 * [backup-simplify]: Simplify 0 into 0
4.061 * [backup-simplify]: Simplify 1 into 1
4.062 * [backup-simplify]: Simplify (* 1 1) into 1
4.062 * [backup-simplify]: Simplify (/ 1 1) into 1
4.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
4.062 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.062 * [taylor]: Taking taylor expansion of x in p
4.062 * [backup-simplify]: Simplify x into x
4.062 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.062 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.062 * [backup-simplify]: Simplify (* 4 1) into 4
4.063 * [backup-simplify]: Simplify (+ 4 0) into 4
4.063 * [backup-simplify]: Simplify (sqrt 4) into 2
4.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.064 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
4.064 * [backup-simplify]: Simplify (+ 0 0) into 0
4.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
4.065 * [taylor]: Taking taylor expansion of 2 in x
4.065 * [backup-simplify]: Simplify 2 into 2
4.065 * [taylor]: Taking taylor expansion of 0 in x
4.065 * [backup-simplify]: Simplify 0 into 0
4.065 * [backup-simplify]: Simplify 2 into 2
4.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.068 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
4.068 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
4.069 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2))
4.069 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x
4.069 * [taylor]: Taking taylor expansion of 1/4 in x
4.069 * [backup-simplify]: Simplify 1/4 into 1/4
4.069 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.069 * [taylor]: Taking taylor expansion of x in x
4.069 * [backup-simplify]: Simplify 0 into 0
4.069 * [backup-simplify]: Simplify 1 into 1
4.070 * [backup-simplify]: Simplify (* 1 1) into 1
4.070 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
4.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
4.072 * [backup-simplify]: Simplify 0 into 0
4.072 * [backup-simplify]: Simplify 0 into 0
4.072 * [backup-simplify]: Simplify 0 into 0
4.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.075 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.075 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.075 * [backup-simplify]: Simplify (+ 0 0) into 0
4.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0
4.076 * [taylor]: Taking taylor expansion of 0 in x
4.076 * [backup-simplify]: Simplify 0 into 0
4.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.078 * [backup-simplify]: Simplify 0 into 0
4.078 * [backup-simplify]: Simplify 0 into 0
4.078 * [backup-simplify]: Simplify 0 into 0
4.078 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- p))))) into (* -2 p)
4.078 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 2)
4.079 * [backup-simplify]: Simplify (sqrt (+ (* p (* 4 p)) (* x x))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
4.079 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (p x) around 0
4.079 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
4.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
4.079 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.079 * [taylor]: Taking taylor expansion of x in x
4.079 * [backup-simplify]: Simplify 0 into 0
4.079 * [backup-simplify]: Simplify 1 into 1
4.079 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
4.079 * [taylor]: Taking taylor expansion of 4 in x
4.079 * [backup-simplify]: Simplify 4 into 4
4.079 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.079 * [taylor]: Taking taylor expansion of p in x
4.079 * [backup-simplify]: Simplify p into p
4.079 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.079 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
4.079 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
4.079 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
4.080 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
4.080 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
4.081 * [backup-simplify]: Simplify (+ 0 0) into 0
4.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
4.081 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
4.081 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
4.081 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.081 * [taylor]: Taking taylor expansion of x in p
4.081 * [backup-simplify]: Simplify x into x
4.081 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
4.081 * [taylor]: Taking taylor expansion of 4 in p
4.081 * [backup-simplify]: Simplify 4 into 4
4.081 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.081 * [taylor]: Taking taylor expansion of p in p
4.081 * [backup-simplify]: Simplify 0 into 0
4.081 * [backup-simplify]: Simplify 1 into 1
4.081 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.081 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.081 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.081 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.082 * [backup-simplify]: Simplify (+ 0 0) into 0
4.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.082 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
4.082 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
4.082 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.082 * [taylor]: Taking taylor expansion of x in p
4.082 * [backup-simplify]: Simplify x into x
4.082 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
4.082 * [taylor]: Taking taylor expansion of 4 in p
4.082 * [backup-simplify]: Simplify 4 into 4
4.082 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.082 * [taylor]: Taking taylor expansion of p in p
4.082 * [backup-simplify]: Simplify 0 into 0
4.082 * [backup-simplify]: Simplify 1 into 1
4.082 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.082 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.082 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.082 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.083 * [backup-simplify]: Simplify (+ 0 0) into 0
4.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.083 * [taylor]: Taking taylor expansion of x in x
4.083 * [backup-simplify]: Simplify 0 into 0
4.083 * [backup-simplify]: Simplify 1 into 1
4.083 * [backup-simplify]: Simplify 0 into 0
4.083 * [taylor]: Taking taylor expansion of 0 in x
4.083 * [backup-simplify]: Simplify 0 into 0
4.083 * [backup-simplify]: Simplify 0 into 0
4.083 * [backup-simplify]: Simplify 1 into 1
4.084 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.084 * [backup-simplify]: Simplify (* 1 1) into 1
4.487 * [backup-simplify]: Simplify (* 4 1) into 4
4.488 * [backup-simplify]: Simplify (+ 0 4) into 4
4.488 * [backup-simplify]: Simplify (/ (- 4 (pow 0 2) (+)) (* 2 x)) into (/ 2 x)
4.488 * [taylor]: Taking taylor expansion of (/ 2 x) in x
4.488 * [taylor]: Taking taylor expansion of 2 in x
4.488 * [backup-simplify]: Simplify 2 into 2
4.488 * [taylor]: Taking taylor expansion of x in x
4.488 * [backup-simplify]: Simplify 0 into 0
4.488 * [backup-simplify]: Simplify 1 into 1
4.489 * [backup-simplify]: Simplify (/ 2 1) into 2
4.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
4.489 * [backup-simplify]: Simplify 0 into 0
4.489 * [backup-simplify]: Simplify 0 into 0
4.489 * [backup-simplify]: Simplify 0 into 0
4.490 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
4.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.491 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
4.491 * [backup-simplify]: Simplify (+ 0 0) into 0
4.491 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 x))))) (* 2 x)) into 0
4.491 * [taylor]: Taking taylor expansion of 0 in x
4.491 * [backup-simplify]: Simplify 0 into 0
4.491 * [backup-simplify]: Simplify 0 into 0
4.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.492 * [backup-simplify]: Simplify 0 into 0
4.492 * [backup-simplify]: Simplify 0 into 0
4.492 * [backup-simplify]: Simplify (* 1 (* x 1)) into x
4.492 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 p) (* 4 (/ 1 p))) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
4.492 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0
4.492 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
4.492 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
4.492 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
4.492 * [taylor]: Taking taylor expansion of 4 in x
4.492 * [backup-simplify]: Simplify 4 into 4
4.492 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
4.492 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.492 * [taylor]: Taking taylor expansion of p in x
4.492 * [backup-simplify]: Simplify p into p
4.492 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.492 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
4.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.492 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.492 * [taylor]: Taking taylor expansion of x in x
4.492 * [backup-simplify]: Simplify 0 into 0
4.492 * [backup-simplify]: Simplify 1 into 1
4.492 * [backup-simplify]: Simplify (* 1 1) into 1
4.493 * [backup-simplify]: Simplify (/ 1 1) into 1
4.493 * [backup-simplify]: Simplify (+ 0 1) into 1
4.493 * [backup-simplify]: Simplify (sqrt 1) into 1
4.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.494 * [backup-simplify]: Simplify (+ 0 0) into 0
4.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.495 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
4.495 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
4.495 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
4.495 * [taylor]: Taking taylor expansion of 4 in p
4.495 * [backup-simplify]: Simplify 4 into 4
4.495 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
4.495 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.495 * [taylor]: Taking taylor expansion of p in p
4.495 * [backup-simplify]: Simplify 0 into 0
4.495 * [backup-simplify]: Simplify 1 into 1
4.495 * [backup-simplify]: Simplify (* 1 1) into 1
4.495 * [backup-simplify]: Simplify (/ 1 1) into 1
4.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
4.495 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.495 * [taylor]: Taking taylor expansion of x in p
4.495 * [backup-simplify]: Simplify x into x
4.495 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.495 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.496 * [backup-simplify]: Simplify (* 4 1) into 4
4.496 * [backup-simplify]: Simplify (+ 4 0) into 4
4.496 * [backup-simplify]: Simplify (sqrt 4) into 2
4.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.499 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
4.499 * [backup-simplify]: Simplify (+ 0 0) into 0
4.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
4.500 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
4.500 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
4.500 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
4.500 * [taylor]: Taking taylor expansion of 4 in p
4.500 * [backup-simplify]: Simplify 4 into 4
4.500 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
4.500 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.500 * [taylor]: Taking taylor expansion of p in p
4.500 * [backup-simplify]: Simplify 0 into 0
4.500 * [backup-simplify]: Simplify 1 into 1
4.500 * [backup-simplify]: Simplify (* 1 1) into 1
4.500 * [backup-simplify]: Simplify (/ 1 1) into 1
4.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
4.500 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.500 * [taylor]: Taking taylor expansion of x in p
4.500 * [backup-simplify]: Simplify x into x
4.501 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.501 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.501 * [backup-simplify]: Simplify (* 4 1) into 4
4.501 * [backup-simplify]: Simplify (+ 4 0) into 4
4.501 * [backup-simplify]: Simplify (sqrt 4) into 2
4.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.503 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
4.503 * [backup-simplify]: Simplify (+ 0 0) into 0
4.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
4.503 * [taylor]: Taking taylor expansion of 2 in x
4.503 * [backup-simplify]: Simplify 2 into 2
4.503 * [taylor]: Taking taylor expansion of 0 in x
4.503 * [backup-simplify]: Simplify 0 into 0
4.503 * [backup-simplify]: Simplify 2 into 2
4.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.505 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
4.505 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
4.506 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2))
4.506 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x
4.506 * [taylor]: Taking taylor expansion of 1/4 in x
4.506 * [backup-simplify]: Simplify 1/4 into 1/4
4.506 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.506 * [taylor]: Taking taylor expansion of x in x
4.506 * [backup-simplify]: Simplify 0 into 0
4.506 * [backup-simplify]: Simplify 1 into 1
4.506 * [backup-simplify]: Simplify (* 1 1) into 1
4.507 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
4.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
4.508 * [backup-simplify]: Simplify 0 into 0
4.508 * [backup-simplify]: Simplify 0 into 0
4.508 * [backup-simplify]: Simplify 0 into 0
4.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.509 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.510 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.510 * [backup-simplify]: Simplify (+ 0 0) into 0
4.510 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0
4.510 * [taylor]: Taking taylor expansion of 0 in x
4.510 * [backup-simplify]: Simplify 0 into 0
4.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.511 * [backup-simplify]: Simplify 0 into 0
4.511 * [backup-simplify]: Simplify 0 into 0
4.511 * [backup-simplify]: Simplify 0 into 0
4.512 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 p)))) into (* 2 p)
4.512 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- p)) (* 4 (/ 1 (- p)))) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
4.512 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0
4.512 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
4.512 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
4.512 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
4.512 * [taylor]: Taking taylor expansion of 4 in x
4.512 * [backup-simplify]: Simplify 4 into 4
4.512 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
4.512 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.512 * [taylor]: Taking taylor expansion of p in x
4.512 * [backup-simplify]: Simplify p into p
4.512 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.512 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
4.512 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.512 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.512 * [taylor]: Taking taylor expansion of x in x
4.512 * [backup-simplify]: Simplify 0 into 0
4.512 * [backup-simplify]: Simplify 1 into 1
4.512 * [backup-simplify]: Simplify (* 1 1) into 1
4.513 * [backup-simplify]: Simplify (/ 1 1) into 1
4.513 * [backup-simplify]: Simplify (+ 0 1) into 1
4.513 * [backup-simplify]: Simplify (sqrt 1) into 1
4.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.515 * [backup-simplify]: Simplify (+ 0 0) into 0
4.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.516 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
4.516 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
4.516 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
4.516 * [taylor]: Taking taylor expansion of 4 in p
4.516 * [backup-simplify]: Simplify 4 into 4
4.516 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
4.516 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.516 * [taylor]: Taking taylor expansion of p in p
4.516 * [backup-simplify]: Simplify 0 into 0
4.516 * [backup-simplify]: Simplify 1 into 1
4.517 * [backup-simplify]: Simplify (* 1 1) into 1
4.517 * [backup-simplify]: Simplify (/ 1 1) into 1
4.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
4.517 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.517 * [taylor]: Taking taylor expansion of x in p
4.517 * [backup-simplify]: Simplify x into x
4.517 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.518 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.518 * [backup-simplify]: Simplify (* 4 1) into 4
4.518 * [backup-simplify]: Simplify (+ 4 0) into 4
4.519 * [backup-simplify]: Simplify (sqrt 4) into 2
4.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.521 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
4.522 * [backup-simplify]: Simplify (+ 0 0) into 0
4.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
4.522 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
4.522 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
4.523 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
4.523 * [taylor]: Taking taylor expansion of 4 in p
4.523 * [backup-simplify]: Simplify 4 into 4
4.523 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
4.523 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.523 * [taylor]: Taking taylor expansion of p in p
4.523 * [backup-simplify]: Simplify 0 into 0
4.523 * [backup-simplify]: Simplify 1 into 1
4.523 * [backup-simplify]: Simplify (* 1 1) into 1
4.524 * [backup-simplify]: Simplify (/ 1 1) into 1
4.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
4.524 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.524 * [taylor]: Taking taylor expansion of x in p
4.524 * [backup-simplify]: Simplify x into x
4.524 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.524 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.524 * [backup-simplify]: Simplify (* 4 1) into 4
4.525 * [backup-simplify]: Simplify (+ 4 0) into 4
4.525 * [backup-simplify]: Simplify (sqrt 4) into 2
4.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.527 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
4.528 * [backup-simplify]: Simplify (+ 0 0) into 0
4.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
4.529 * [taylor]: Taking taylor expansion of 2 in x
4.529 * [backup-simplify]: Simplify 2 into 2
4.529 * [taylor]: Taking taylor expansion of 0 in x
4.529 * [backup-simplify]: Simplify 0 into 0
4.529 * [backup-simplify]: Simplify 2 into 2
4.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.532 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
4.532 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
4.533 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2))
4.533 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x
4.533 * [taylor]: Taking taylor expansion of 1/4 in x
4.533 * [backup-simplify]: Simplify 1/4 into 1/4
4.533 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.533 * [taylor]: Taking taylor expansion of x in x
4.533 * [backup-simplify]: Simplify 0 into 0
4.533 * [backup-simplify]: Simplify 1 into 1
4.534 * [backup-simplify]: Simplify (* 1 1) into 1
4.534 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
4.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
4.535 * [backup-simplify]: Simplify 0 into 0
4.535 * [backup-simplify]: Simplify 0 into 0
4.535 * [backup-simplify]: Simplify 0 into 0
4.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.537 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.537 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.538 * [backup-simplify]: Simplify (+ 0 0) into 0
4.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0
4.538 * [taylor]: Taking taylor expansion of 0 in x
4.538 * [backup-simplify]: Simplify 0 into 0
4.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.539 * [backup-simplify]: Simplify 0 into 0
4.539 * [backup-simplify]: Simplify 0 into 0
4.539 * [backup-simplify]: Simplify 0 into 0
4.539 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- p))))) into (* -2 p)
4.539 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 2)
4.540 * [backup-simplify]: Simplify (sqrt (+ (* p (* 4 p)) (* x x))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
4.540 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (p x) around 0
4.540 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
4.540 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
4.540 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.540 * [taylor]: Taking taylor expansion of x in x
4.540 * [backup-simplify]: Simplify 0 into 0
4.540 * [backup-simplify]: Simplify 1 into 1
4.540 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
4.540 * [taylor]: Taking taylor expansion of 4 in x
4.540 * [backup-simplify]: Simplify 4 into 4
4.540 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.540 * [taylor]: Taking taylor expansion of p in x
4.540 * [backup-simplify]: Simplify p into p
4.540 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.540 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
4.540 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
4.540 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
4.540 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
4.540 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
4.541 * [backup-simplify]: Simplify (+ 0 0) into 0
4.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
4.541 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
4.541 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
4.541 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.541 * [taylor]: Taking taylor expansion of x in p
4.541 * [backup-simplify]: Simplify x into x
4.541 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
4.541 * [taylor]: Taking taylor expansion of 4 in p
4.541 * [backup-simplify]: Simplify 4 into 4
4.541 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.541 * [taylor]: Taking taylor expansion of p in p
4.541 * [backup-simplify]: Simplify 0 into 0
4.541 * [backup-simplify]: Simplify 1 into 1
4.541 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.541 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.541 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.541 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.542 * [backup-simplify]: Simplify (+ 0 0) into 0
4.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.542 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
4.542 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
4.542 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.542 * [taylor]: Taking taylor expansion of x in p
4.542 * [backup-simplify]: Simplify x into x
4.542 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
4.542 * [taylor]: Taking taylor expansion of 4 in p
4.542 * [backup-simplify]: Simplify 4 into 4
4.542 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.542 * [taylor]: Taking taylor expansion of p in p
4.542 * [backup-simplify]: Simplify 0 into 0
4.542 * [backup-simplify]: Simplify 1 into 1
4.542 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.542 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.542 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.542 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.542 * [backup-simplify]: Simplify (+ 0 0) into 0
4.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.542 * [taylor]: Taking taylor expansion of x in x
4.543 * [backup-simplify]: Simplify 0 into 0
4.543 * [backup-simplify]: Simplify 1 into 1
4.543 * [backup-simplify]: Simplify 0 into 0
4.543 * [taylor]: Taking taylor expansion of 0 in x
4.543 * [backup-simplify]: Simplify 0 into 0
4.543 * [backup-simplify]: Simplify 0 into 0
4.543 * [backup-simplify]: Simplify 1 into 1
4.543 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.543 * [backup-simplify]: Simplify (* 1 1) into 1
4.544 * [backup-simplify]: Simplify (* 4 1) into 4
4.544 * [backup-simplify]: Simplify (+ 0 4) into 4
4.544 * [backup-simplify]: Simplify (/ (- 4 (pow 0 2) (+)) (* 2 x)) into (/ 2 x)
4.544 * [taylor]: Taking taylor expansion of (/ 2 x) in x
4.544 * [taylor]: Taking taylor expansion of 2 in x
4.544 * [backup-simplify]: Simplify 2 into 2
4.544 * [taylor]: Taking taylor expansion of x in x
4.544 * [backup-simplify]: Simplify 0 into 0
4.544 * [backup-simplify]: Simplify 1 into 1
4.545 * [backup-simplify]: Simplify (/ 2 1) into 2
4.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
4.545 * [backup-simplify]: Simplify 0 into 0
4.545 * [backup-simplify]: Simplify 0 into 0
4.545 * [backup-simplify]: Simplify 0 into 0
4.546 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
4.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.547 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
4.547 * [backup-simplify]: Simplify (+ 0 0) into 0
4.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 x))))) (* 2 x)) into 0
4.547 * [taylor]: Taking taylor expansion of 0 in x
4.547 * [backup-simplify]: Simplify 0 into 0
4.547 * [backup-simplify]: Simplify 0 into 0
4.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.548 * [backup-simplify]: Simplify 0 into 0
4.548 * [backup-simplify]: Simplify 0 into 0
4.548 * [backup-simplify]: Simplify (* 1 (* x 1)) into x
4.548 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 p) (* 4 (/ 1 p))) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
4.548 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0
4.548 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
4.548 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
4.548 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
4.548 * [taylor]: Taking taylor expansion of 4 in x
4.548 * [backup-simplify]: Simplify 4 into 4
4.548 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
4.548 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.548 * [taylor]: Taking taylor expansion of p in x
4.548 * [backup-simplify]: Simplify p into p
4.548 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.548 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
4.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.548 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.548 * [taylor]: Taking taylor expansion of x in x
4.548 * [backup-simplify]: Simplify 0 into 0
4.548 * [backup-simplify]: Simplify 1 into 1
4.549 * [backup-simplify]: Simplify (* 1 1) into 1
4.549 * [backup-simplify]: Simplify (/ 1 1) into 1
4.549 * [backup-simplify]: Simplify (+ 0 1) into 1
4.549 * [backup-simplify]: Simplify (sqrt 1) into 1
4.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.551 * [backup-simplify]: Simplify (+ 0 0) into 0
4.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.551 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
4.551 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
4.551 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
4.551 * [taylor]: Taking taylor expansion of 4 in p
4.551 * [backup-simplify]: Simplify 4 into 4
4.551 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
4.551 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.551 * [taylor]: Taking taylor expansion of p in p
4.551 * [backup-simplify]: Simplify 0 into 0
4.551 * [backup-simplify]: Simplify 1 into 1
4.551 * [backup-simplify]: Simplify (* 1 1) into 1
4.552 * [backup-simplify]: Simplify (/ 1 1) into 1
4.552 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
4.552 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.552 * [taylor]: Taking taylor expansion of x in p
4.552 * [backup-simplify]: Simplify x into x
4.552 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.552 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.552 * [backup-simplify]: Simplify (* 4 1) into 4
4.552 * [backup-simplify]: Simplify (+ 4 0) into 4
4.553 * [backup-simplify]: Simplify (sqrt 4) into 2
4.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.554 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
4.554 * [backup-simplify]: Simplify (+ 0 0) into 0
4.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
4.555 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
4.555 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
4.555 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
4.555 * [taylor]: Taking taylor expansion of 4 in p
4.555 * [backup-simplify]: Simplify 4 into 4
4.555 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
4.555 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.555 * [taylor]: Taking taylor expansion of p in p
4.555 * [backup-simplify]: Simplify 0 into 0
4.555 * [backup-simplify]: Simplify 1 into 1
4.555 * [backup-simplify]: Simplify (* 1 1) into 1
4.555 * [backup-simplify]: Simplify (/ 1 1) into 1
4.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
4.555 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.555 * [taylor]: Taking taylor expansion of x in p
4.555 * [backup-simplify]: Simplify x into x
4.555 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.555 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.556 * [backup-simplify]: Simplify (* 4 1) into 4
4.556 * [backup-simplify]: Simplify (+ 4 0) into 4
4.556 * [backup-simplify]: Simplify (sqrt 4) into 2
4.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.558 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
4.558 * [backup-simplify]: Simplify (+ 0 0) into 0
4.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
4.558 * [taylor]: Taking taylor expansion of 2 in x
4.558 * [backup-simplify]: Simplify 2 into 2
4.558 * [taylor]: Taking taylor expansion of 0 in x
4.558 * [backup-simplify]: Simplify 0 into 0
4.558 * [backup-simplify]: Simplify 2 into 2
4.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.560 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
4.560 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
4.561 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2))
4.561 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x
4.561 * [taylor]: Taking taylor expansion of 1/4 in x
4.561 * [backup-simplify]: Simplify 1/4 into 1/4
4.561 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.561 * [taylor]: Taking taylor expansion of x in x
4.561 * [backup-simplify]: Simplify 0 into 0
4.561 * [backup-simplify]: Simplify 1 into 1
4.562 * [backup-simplify]: Simplify (* 1 1) into 1
4.562 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
4.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
4.564 * [backup-simplify]: Simplify 0 into 0
4.564 * [backup-simplify]: Simplify 0 into 0
4.564 * [backup-simplify]: Simplify 0 into 0
4.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.567 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.568 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.568 * [backup-simplify]: Simplify (+ 0 0) into 0
4.569 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0
4.569 * [taylor]: Taking taylor expansion of 0 in x
4.569 * [backup-simplify]: Simplify 0 into 0
4.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.571 * [backup-simplify]: Simplify 0 into 0
4.571 * [backup-simplify]: Simplify 0 into 0
4.571 * [backup-simplify]: Simplify 0 into 0
4.571 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 p)))) into (* 2 p)
4.571 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- p)) (* 4 (/ 1 (- p)))) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
4.571 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0
4.571 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
4.571 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
4.571 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
4.571 * [taylor]: Taking taylor expansion of 4 in x
4.571 * [backup-simplify]: Simplify 4 into 4
4.571 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
4.571 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.572 * [taylor]: Taking taylor expansion of p in x
4.572 * [backup-simplify]: Simplify p into p
4.572 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.572 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
4.572 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.572 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.572 * [taylor]: Taking taylor expansion of x in x
4.572 * [backup-simplify]: Simplify 0 into 0
4.572 * [backup-simplify]: Simplify 1 into 1
4.572 * [backup-simplify]: Simplify (* 1 1) into 1
4.573 * [backup-simplify]: Simplify (/ 1 1) into 1
4.573 * [backup-simplify]: Simplify (+ 0 1) into 1
4.573 * [backup-simplify]: Simplify (sqrt 1) into 1
4.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.575 * [backup-simplify]: Simplify (+ 0 0) into 0
4.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.576 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
4.576 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
4.576 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
4.576 * [taylor]: Taking taylor expansion of 4 in p
4.576 * [backup-simplify]: Simplify 4 into 4
4.576 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
4.576 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.576 * [taylor]: Taking taylor expansion of p in p
4.576 * [backup-simplify]: Simplify 0 into 0
4.576 * [backup-simplify]: Simplify 1 into 1
4.576 * [backup-simplify]: Simplify (* 1 1) into 1
4.577 * [backup-simplify]: Simplify (/ 1 1) into 1
4.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
4.577 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.577 * [taylor]: Taking taylor expansion of x in p
4.577 * [backup-simplify]: Simplify x into x
4.577 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.577 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.577 * [backup-simplify]: Simplify (* 4 1) into 4
4.578 * [backup-simplify]: Simplify (+ 4 0) into 4
4.578 * [backup-simplify]: Simplify (sqrt 4) into 2
4.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.580 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
4.580 * [backup-simplify]: Simplify (+ 0 0) into 0
4.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
4.581 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
4.581 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
4.581 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
4.581 * [taylor]: Taking taylor expansion of 4 in p
4.581 * [backup-simplify]: Simplify 4 into 4
4.581 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
4.581 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.581 * [taylor]: Taking taylor expansion of p in p
4.581 * [backup-simplify]: Simplify 0 into 0
4.581 * [backup-simplify]: Simplify 1 into 1
4.582 * [backup-simplify]: Simplify (* 1 1) into 1
4.582 * [backup-simplify]: Simplify (/ 1 1) into 1
4.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
4.582 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.582 * [taylor]: Taking taylor expansion of x in p
4.582 * [backup-simplify]: Simplify x into x
4.582 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.582 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.583 * [backup-simplify]: Simplify (* 4 1) into 4
4.583 * [backup-simplify]: Simplify (+ 4 0) into 4
4.584 * [backup-simplify]: Simplify (sqrt 4) into 2
4.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.586 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
4.586 * [backup-simplify]: Simplify (+ 0 0) into 0
4.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
4.587 * [taylor]: Taking taylor expansion of 2 in x
4.587 * [backup-simplify]: Simplify 2 into 2
4.587 * [taylor]: Taking taylor expansion of 0 in x
4.587 * [backup-simplify]: Simplify 0 into 0
4.587 * [backup-simplify]: Simplify 2 into 2
4.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.589 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
4.590 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
4.591 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2))
4.591 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x
4.591 * [taylor]: Taking taylor expansion of 1/4 in x
4.591 * [backup-simplify]: Simplify 1/4 into 1/4
4.591 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.591 * [taylor]: Taking taylor expansion of x in x
4.591 * [backup-simplify]: Simplify 0 into 0
4.591 * [backup-simplify]: Simplify 1 into 1
4.591 * [backup-simplify]: Simplify (* 1 1) into 1
4.592 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
4.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
4.593 * [backup-simplify]: Simplify 0 into 0
4.593 * [backup-simplify]: Simplify 0 into 0
4.593 * [backup-simplify]: Simplify 0 into 0
4.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.595 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.595 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.595 * [backup-simplify]: Simplify (+ 0 0) into 0
4.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0
4.596 * [taylor]: Taking taylor expansion of 0 in x
4.596 * [backup-simplify]: Simplify 0 into 0
4.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.600 * [backup-simplify]: Simplify 0 into 0
4.600 * [backup-simplify]: Simplify 0 into 0
4.600 * [backup-simplify]: Simplify 0 into 0
4.600 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- p))))) into (* -2 p)
4.600 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2)
4.601 * [backup-simplify]: Simplify (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x)))))) into (+ (* 0.25 (* (pow x 3) (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3))))) 0.25)
4.601 * [approximate]: Taking taylor expansion of (+ (* 0.25 (* (pow x 3) (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3))))) 0.25) in (x p) around 0
4.601 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (pow x 3) (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3))))) 0.25) in p
4.601 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow x 3) (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3))))) in p
4.601 * [taylor]: Taking taylor expansion of 0.25 in p
4.601 * [backup-simplify]: Simplify 0.25 into 0.25
4.601 * [taylor]: Taking taylor expansion of (* (pow x 3) (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3)))) in p
4.601 * [taylor]: Taking taylor expansion of (pow x 3) in p
4.601 * [taylor]: Taking taylor expansion of x in p
4.601 * [backup-simplify]: Simplify x into x
4.601 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3))) in p
4.601 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3)) in p
4.601 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 4 (pow p 2))) 3) in p
4.601 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
4.601 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.601 * [taylor]: Taking taylor expansion of x in p
4.601 * [backup-simplify]: Simplify x into x
4.601 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
4.601 * [taylor]: Taking taylor expansion of 4 in p
4.602 * [backup-simplify]: Simplify 4 into 4
4.602 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.602 * [taylor]: Taking taylor expansion of p in p
4.602 * [backup-simplify]: Simplify 0 into 0
4.602 * [backup-simplify]: Simplify 1 into 1
4.602 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.602 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.602 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
4.602 * [backup-simplify]: Simplify (* (pow x 2) (pow x 4)) into (pow x 6)
4.602 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6))
4.602 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 6))) into (/ 1 (pow x 3))
4.602 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.602 * [backup-simplify]: Simplify (+ 0 0) into 0
4.602 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0
4.602 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 4))) into 0
4.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 6)) (/ 0 (pow x 6))))) into 0
4.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 6))))) into 0
4.603 * [taylor]: Taking taylor expansion of 0.25 in p
4.603 * [backup-simplify]: Simplify 0.25 into 0.25
4.603 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (pow x 3) (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3))))) 0.25) in x
4.603 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow x 3) (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3))))) in x
4.603 * [taylor]: Taking taylor expansion of 0.25 in x
4.603 * [backup-simplify]: Simplify 0.25 into 0.25
4.603 * [taylor]: Taking taylor expansion of (* (pow x 3) (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3)))) in x
4.603 * [taylor]: Taking taylor expansion of (pow x 3) in x
4.603 * [taylor]: Taking taylor expansion of x in x
4.603 * [backup-simplify]: Simplify 0 into 0
4.603 * [backup-simplify]: Simplify 1 into 1
4.603 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3))) in x
4.603 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3)) in x
4.603 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 4 (pow p 2))) 3) in x
4.603 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
4.603 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.603 * [taylor]: Taking taylor expansion of x in x
4.603 * [backup-simplify]: Simplify 0 into 0
4.603 * [backup-simplify]: Simplify 1 into 1
4.603 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
4.603 * [taylor]: Taking taylor expansion of 4 in x
4.603 * [backup-simplify]: Simplify 4 into 4
4.603 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.603 * [taylor]: Taking taylor expansion of p in x
4.603 * [backup-simplify]: Simplify p into p
4.603 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.603 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
4.603 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
4.603 * [backup-simplify]: Simplify (* (* 4 (pow p 2)) (* 4 (pow p 2))) into (* 16 (pow p 4))
4.603 * [backup-simplify]: Simplify (* (* 4 (pow p 2)) (* 16 (pow p 4))) into (* 64 (pow p 6))
4.603 * [backup-simplify]: Simplify (/ 1 (* 64 (pow p 6))) into (/ 1/64 (pow p 6))
4.603 * [backup-simplify]: Simplify (sqrt (/ 1/64 (pow p 6))) into (/ 1/8 (pow p 3))
4.603 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
4.604 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
4.604 * [backup-simplify]: Simplify (+ 0 0) into 0
4.604 * [backup-simplify]: Simplify (+ (* (* 4 (pow p 2)) 0) (* 0 (* 4 (pow p 2)))) into 0
4.604 * [backup-simplify]: Simplify (+ (* (* 4 (pow p 2)) 0) (* 0 (* 16 (pow p 4)))) into 0
4.604 * [backup-simplify]: Simplify (- (+ (* (/ 1/64 (pow p 6)) (/ 0 (* 64 (pow p 6)))))) into 0
4.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/64 (pow p 6))))) into 0
4.604 * [taylor]: Taking taylor expansion of 0.25 in x
4.605 * [backup-simplify]: Simplify 0.25 into 0.25
4.605 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (pow x 3) (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3))))) 0.25) in x
4.605 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow x 3) (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3))))) in x
4.605 * [taylor]: Taking taylor expansion of 0.25 in x
4.605 * [backup-simplify]: Simplify 0.25 into 0.25
4.605 * [taylor]: Taking taylor expansion of (* (pow x 3) (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3)))) in x
4.605 * [taylor]: Taking taylor expansion of (pow x 3) in x
4.605 * [taylor]: Taking taylor expansion of x in x
4.605 * [backup-simplify]: Simplify 0 into 0
4.605 * [backup-simplify]: Simplify 1 into 1
4.605 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3))) in x
4.605 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3)) in x
4.605 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 4 (pow p 2))) 3) in x
4.605 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
4.605 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.605 * [taylor]: Taking taylor expansion of x in x
4.605 * [backup-simplify]: Simplify 0 into 0
4.605 * [backup-simplify]: Simplify 1 into 1
4.605 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
4.605 * [taylor]: Taking taylor expansion of 4 in x
4.605 * [backup-simplify]: Simplify 4 into 4
4.605 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.605 * [taylor]: Taking taylor expansion of p in x
4.605 * [backup-simplify]: Simplify p into p
4.605 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.605 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
4.605 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
4.605 * [backup-simplify]: Simplify (* (* 4 (pow p 2)) (* 4 (pow p 2))) into (* 16 (pow p 4))
4.605 * [backup-simplify]: Simplify (* (* 4 (pow p 2)) (* 16 (pow p 4))) into (* 64 (pow p 6))
4.605 * [backup-simplify]: Simplify (/ 1 (* 64 (pow p 6))) into (/ 1/64 (pow p 6))
4.605 * [backup-simplify]: Simplify (sqrt (/ 1/64 (pow p 6))) into (/ 1/8 (pow p 3))
4.605 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
4.606 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
4.606 * [backup-simplify]: Simplify (+ 0 0) into 0
4.606 * [backup-simplify]: Simplify (+ (* (* 4 (pow p 2)) 0) (* 0 (* 4 (pow p 2)))) into 0
4.606 * [backup-simplify]: Simplify (+ (* (* 4 (pow p 2)) 0) (* 0 (* 16 (pow p 4)))) into 0
4.606 * [backup-simplify]: Simplify (- (+ (* (/ 1/64 (pow p 6)) (/ 0 (* 64 (pow p 6)))))) into 0
4.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/64 (pow p 6))))) into 0
4.606 * [taylor]: Taking taylor expansion of 0.25 in x
4.606 * [backup-simplify]: Simplify 0.25 into 0.25
4.607 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25
4.607 * [taylor]: Taking taylor expansion of 0.25 in p
4.607 * [backup-simplify]: Simplify 0.25 into 0.25
4.607 * [backup-simplify]: Simplify 0.25 into 0.25
4.607 * [backup-simplify]: Simplify (+ 0 0) into 0
4.607 * [taylor]: Taking taylor expansion of 0 in p
4.607 * [backup-simplify]: Simplify 0 into 0
4.607 * [backup-simplify]: Simplify 0 into 0
4.607 * [backup-simplify]: Simplify 0 into 0
4.607 * [backup-simplify]: Simplify (+ 0 0) into 0
4.608 * [taylor]: Taking taylor expansion of 0 in p
4.608 * [backup-simplify]: Simplify 0 into 0
4.608 * [backup-simplify]: Simplify 0 into 0
4.608 * [backup-simplify]: Simplify 0 into 0
4.608 * [backup-simplify]: Simplify 0 into 0
4.608 * [backup-simplify]: Simplify (* 1 1) into 1
4.608 * [backup-simplify]: Simplify (* 1 1) into 1
4.608 * [backup-simplify]: Simplify (* 1 (/ 1/8 (pow p 3))) into (/ 1/8 (pow p 3))
4.608 * [backup-simplify]: Simplify (* 0.25 (/ 1/8 (pow p 3))) into (/ 0.03125 (pow p 3))
4.608 * [backup-simplify]: Simplify (+ (/ 0.03125 (pow p 3)) 0) into (* 0.03125 (/ 1 (pow p 3)))
4.608 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (pow p 3))) in p
4.608 * [taylor]: Taking taylor expansion of 0.03125 in p
4.608 * [backup-simplify]: Simplify 0.03125 into 0.03125
4.608 * [taylor]: Taking taylor expansion of (/ 1 (pow p 3)) in p
4.608 * [taylor]: Taking taylor expansion of (pow p 3) in p
4.608 * [taylor]: Taking taylor expansion of p in p
4.608 * [backup-simplify]: Simplify 0 into 0
4.608 * [backup-simplify]: Simplify 1 into 1
4.609 * [backup-simplify]: Simplify (* 1 1) into 1
4.609 * [backup-simplify]: Simplify (* 1 1) into 1
4.609 * [backup-simplify]: Simplify (/ 1 1) into 1
4.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.615 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.615 * [backup-simplify]: Simplify 0 into 0
4.615 * [backup-simplify]: Simplify 0.25 into 0.25
4.616 * [backup-simplify]: Simplify (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ (/ 1 x) (+ (* (/ 1 p) (* 4 (/ 1 p))) (* (/ 1 x) (/ 1 x))))) (/ (* (/ 1 x) (/ 1 x)) (sqrt (+ (* (/ 1 p) (* 4 (/ 1 p))) (* (/ 1 x) (/ 1 x))))))) into (+ (* 0.25 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))) 0.25)
4.616 * [approximate]: Taking taylor expansion of (+ (* 0.25 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))) 0.25) in (x p) around 0
4.616 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))) 0.25) in p
4.616 * [taylor]: Taking taylor expansion of (* 0.25 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))) in p
4.616 * [taylor]: Taking taylor expansion of 0.25 in p
4.616 * [backup-simplify]: Simplify 0.25 into 0.25
4.616 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)))) in p
4.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in p
4.616 * [taylor]: Taking taylor expansion of (pow x 3) in p
4.616 * [taylor]: Taking taylor expansion of x in p
4.616 * [backup-simplify]: Simplify x into x
4.616 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.616 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3)
4.616 * [backup-simplify]: Simplify (/ 1 (pow x 3)) into (/ 1 (pow x 3))
4.616 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))) in p
4.616 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)) in p
4.616 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3) in p
4.616 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
4.616 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
4.616 * [taylor]: Taking taylor expansion of 4 in p
4.616 * [backup-simplify]: Simplify 4 into 4
4.616 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
4.616 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.616 * [taylor]: Taking taylor expansion of p in p
4.616 * [backup-simplify]: Simplify 0 into 0
4.616 * [backup-simplify]: Simplify 1 into 1
4.616 * [backup-simplify]: Simplify (* 1 1) into 1
4.617 * [backup-simplify]: Simplify (/ 1 1) into 1
4.617 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
4.617 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.617 * [taylor]: Taking taylor expansion of x in p
4.617 * [backup-simplify]: Simplify x into x
4.617 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.617 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.617 * [backup-simplify]: Simplify (* 4 1) into 4
4.617 * [backup-simplify]: Simplify (+ 4 0) into 4
4.618 * [backup-simplify]: Simplify (* 4 4) into 16
4.618 * [backup-simplify]: Simplify (* 4 16) into 64
4.618 * [backup-simplify]: Simplify (/ 1 64) into 1/64
4.619 * [backup-simplify]: Simplify (sqrt 1/64) into 1/8
4.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.620 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
4.620 * [backup-simplify]: Simplify (+ 0 0) into 0
4.621 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 4)) into 0
4.621 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 16)) into 0
4.622 * [backup-simplify]: Simplify (- (+ (* 1/64 (/ 0 64)))) into 0
4.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/64))) into 0
4.622 * [taylor]: Taking taylor expansion of 0.25 in p
4.622 * [backup-simplify]: Simplify 0.25 into 0.25
4.622 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))) 0.25) in x
4.622 * [taylor]: Taking taylor expansion of (* 0.25 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))) in x
4.622 * [taylor]: Taking taylor expansion of 0.25 in x
4.622 * [backup-simplify]: Simplify 0.25 into 0.25
4.622 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)))) in x
4.622 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x
4.622 * [taylor]: Taking taylor expansion of (pow x 3) in x
4.622 * [taylor]: Taking taylor expansion of x in x
4.622 * [backup-simplify]: Simplify 0 into 0
4.622 * [backup-simplify]: Simplify 1 into 1
4.623 * [backup-simplify]: Simplify (* 1 1) into 1
4.623 * [backup-simplify]: Simplify (* 1 1) into 1
4.623 * [backup-simplify]: Simplify (/ 1 1) into 1
4.623 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))) in x
4.623 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)) in x
4.623 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3) in x
4.623 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
4.623 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
4.623 * [taylor]: Taking taylor expansion of 4 in x
4.623 * [backup-simplify]: Simplify 4 into 4
4.623 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
4.623 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.623 * [taylor]: Taking taylor expansion of p in x
4.623 * [backup-simplify]: Simplify p into p
4.623 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.623 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
4.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.624 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.624 * [taylor]: Taking taylor expansion of x in x
4.624 * [backup-simplify]: Simplify 0 into 0
4.624 * [backup-simplify]: Simplify 1 into 1
4.624 * [backup-simplify]: Simplify (* 1 1) into 1
4.624 * [backup-simplify]: Simplify (/ 1 1) into 1
4.624 * [backup-simplify]: Simplify (+ 0 1) into 1
4.625 * [backup-simplify]: Simplify (* 1 1) into 1
4.625 * [backup-simplify]: Simplify (* 1 1) into 1
4.625 * [backup-simplify]: Simplify (/ 1 1) into 1
4.625 * [backup-simplify]: Simplify (sqrt 1) into 1
4.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.626 * [backup-simplify]: Simplify (+ 0 0) into 0
4.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.628 * [taylor]: Taking taylor expansion of 0.25 in x
4.628 * [backup-simplify]: Simplify 0.25 into 0.25
4.628 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))) 0.25) in x
4.628 * [taylor]: Taking taylor expansion of (* 0.25 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))) in x
4.628 * [taylor]: Taking taylor expansion of 0.25 in x
4.628 * [backup-simplify]: Simplify 0.25 into 0.25
4.628 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)))) in x
4.628 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x
4.628 * [taylor]: Taking taylor expansion of (pow x 3) in x
4.628 * [taylor]: Taking taylor expansion of x in x
4.628 * [backup-simplify]: Simplify 0 into 0
4.628 * [backup-simplify]: Simplify 1 into 1
4.629 * [backup-simplify]: Simplify (* 1 1) into 1
4.629 * [backup-simplify]: Simplify (* 1 1) into 1
4.629 * [backup-simplify]: Simplify (/ 1 1) into 1
4.629 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))) in x
4.629 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)) in x
4.629 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3) in x
4.629 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
4.629 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
4.629 * [taylor]: Taking taylor expansion of 4 in x
4.629 * [backup-simplify]: Simplify 4 into 4
4.629 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
4.629 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.629 * [taylor]: Taking taylor expansion of p in x
4.629 * [backup-simplify]: Simplify p into p
4.629 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.629 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
4.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.630 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.630 * [taylor]: Taking taylor expansion of x in x
4.630 * [backup-simplify]: Simplify 0 into 0
4.630 * [backup-simplify]: Simplify 1 into 1
4.630 * [backup-simplify]: Simplify (* 1 1) into 1
4.630 * [backup-simplify]: Simplify (/ 1 1) into 1
4.630 * [backup-simplify]: Simplify (+ 0 1) into 1
4.631 * [backup-simplify]: Simplify (* 1 1) into 1
4.631 * [backup-simplify]: Simplify (* 1 1) into 1
4.631 * [backup-simplify]: Simplify (/ 1 1) into 1
4.631 * [backup-simplify]: Simplify (sqrt 1) into 1
4.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.632 * [backup-simplify]: Simplify (+ 0 0) into 0
4.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.634 * [taylor]: Taking taylor expansion of 0.25 in x
4.634 * [backup-simplify]: Simplify 0.25 into 0.25
4.634 * [backup-simplify]: Simplify (* 1 1) into 1
4.635 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
4.635 * [backup-simplify]: Simplify (+ 0.25 0.25) into 0.5
4.635 * [taylor]: Taking taylor expansion of 0.5 in p
4.635 * [backup-simplify]: Simplify 0.5 into 0.5
4.635 * [backup-simplify]: Simplify 0.5 into 0.5
4.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.637 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0
4.637 * [backup-simplify]: Simplify (+ 0 0) into 0
4.637 * [taylor]: Taking taylor expansion of 0 in p
4.637 * [backup-simplify]: Simplify 0 into 0
4.637 * [backup-simplify]: Simplify 0 into 0
4.637 * [backup-simplify]: Simplify 0 into 0
4.638 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
4.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.639 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
4.639 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 (pow p 2)))) (+ (* 0 0) (* (* 4 (/ 1 (pow p 2))) 1))) into (* 8 (/ 1 (pow p 2)))
4.640 * [backup-simplify]: Simplify (+ (* 1 (* 8 (/ 1 (pow p 2)))) (+ (* 0 0) (* (* 4 (/ 1 (pow p 2))) 1))) into (* 12 (/ 1 (pow p 2)))
4.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 12 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 12 (/ 1 (pow p 2))))
4.641 * [backup-simplify]: Simplify (/ (- (- (* 12 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -6 (pow p 2))
4.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.643 * [backup-simplify]: Simplify (+ (* 1 (/ -6 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 6 (/ 1 (pow p 2))))
4.644 * [backup-simplify]: Simplify (+ (* 0.25 (- (* 6 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.5 (/ 1 (pow p 2))))
4.644 * [backup-simplify]: Simplify (+ (- (* 1.5 (/ 1 (pow p 2)))) 0) into (- (* 1.5 (/ 1 (pow p 2))))
4.644 * [taylor]: Taking taylor expansion of (- (* 1.5 (/ 1 (pow p 2)))) in p
4.644 * [taylor]: Taking taylor expansion of (* 1.5 (/ 1 (pow p 2))) in p
4.644 * [taylor]: Taking taylor expansion of 1.5 in p
4.644 * [backup-simplify]: Simplify 1.5 into 1.5
4.644 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
4.644 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.644 * [taylor]: Taking taylor expansion of p in p
4.644 * [backup-simplify]: Simplify 0 into 0
4.644 * [backup-simplify]: Simplify 1 into 1
4.644 * [backup-simplify]: Simplify (* 1 1) into 1
4.644 * [backup-simplify]: Simplify (/ 1 1) into 1
4.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.648 * [backup-simplify]: Simplify (+ (* 1.5 0) (+ (* 0 0) (* 0 1))) into 0
4.648 * [backup-simplify]: Simplify (- 0) into 0
4.648 * [backup-simplify]: Simplify 0 into 0
4.648 * [backup-simplify]: Simplify 0 into 0
4.648 * [backup-simplify]: Simplify 0 into 0
4.648 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
4.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
4.649 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
4.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.650 * [backup-simplify]: Simplify (+ 0 0) into 0
4.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 4 (/ 1 (pow p 2)))) (+ (* (* 4 (/ 1 (pow p 2))) 0) (* 0 1)))) into 0
4.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 8 (/ 1 (pow p 2)))) (+ (* (* 4 (/ 1 (pow p 2))) 0) (* 0 1)))) into 0
4.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 12 (/ 1 (pow p 2))) 1)) (* (- (* 12 (/ 1 (pow p 2)))) (/ 0 1)))) into 0
4.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -6 (pow p 2)))))) (* 2 1)) into 0
4.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -6 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0
4.656 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (* 6 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0
4.656 * [backup-simplify]: Simplify (+ 0 0) into 0
4.656 * [taylor]: Taking taylor expansion of 0 in p
4.656 * [backup-simplify]: Simplify 0 into 0
4.656 * [backup-simplify]: Simplify 0 into 0
4.656 * [backup-simplify]: Simplify 0.5 into 0.5
4.657 * [backup-simplify]: Simplify (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ (/ 1 (- x)) (+ (* (/ 1 (- p)) (* 4 (/ 1 (- p)))) (* (/ 1 (- x)) (/ 1 (- x)))))) (/ (* (/ 1 (- x)) (/ 1 (- x))) (sqrt (+ (* (/ 1 (- p)) (* 4 (/ 1 (- p)))) (* (/ 1 (- x)) (/ 1 (- x)))))))) into (- 0.25 (* 0.25 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))))
4.657 * [approximate]: Taking taylor expansion of (- 0.25 (* 0.25 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)))))) in (x p) around 0
4.657 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)))))) in p
4.658 * [taylor]: Taking taylor expansion of 0.25 in p
4.658 * [backup-simplify]: Simplify 0.25 into 0.25
4.658 * [taylor]: Taking taylor expansion of (* 0.25 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))) in p
4.658 * [taylor]: Taking taylor expansion of 0.25 in p
4.658 * [backup-simplify]: Simplify 0.25 into 0.25
4.658 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)))) in p
4.658 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in p
4.658 * [taylor]: Taking taylor expansion of (pow x 3) in p
4.658 * [taylor]: Taking taylor expansion of x in p
4.658 * [backup-simplify]: Simplify x into x
4.658 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.658 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3)
4.658 * [backup-simplify]: Simplify (/ 1 (pow x 3)) into (/ 1 (pow x 3))
4.658 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))) in p
4.658 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)) in p
4.658 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3) in p
4.658 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
4.658 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
4.658 * [taylor]: Taking taylor expansion of 4 in p
4.658 * [backup-simplify]: Simplify 4 into 4
4.658 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
4.658 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.658 * [taylor]: Taking taylor expansion of p in p
4.658 * [backup-simplify]: Simplify 0 into 0
4.658 * [backup-simplify]: Simplify 1 into 1
4.658 * [backup-simplify]: Simplify (* 1 1) into 1
4.659 * [backup-simplify]: Simplify (/ 1 1) into 1
4.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
4.659 * [taylor]: Taking taylor expansion of (pow x 2) in p
4.659 * [taylor]: Taking taylor expansion of x in p
4.659 * [backup-simplify]: Simplify x into x
4.659 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.659 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.659 * [backup-simplify]: Simplify (* 4 1) into 4
4.659 * [backup-simplify]: Simplify (+ 4 0) into 4
4.660 * [backup-simplify]: Simplify (* 4 4) into 16
4.660 * [backup-simplify]: Simplify (* 4 16) into 64
4.660 * [backup-simplify]: Simplify (/ 1 64) into 1/64
4.661 * [backup-simplify]: Simplify (sqrt 1/64) into 1/8
4.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.663 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
4.663 * [backup-simplify]: Simplify (+ 0 0) into 0
4.664 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 4)) into 0
4.665 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 16)) into 0
4.665 * [backup-simplify]: Simplify (- (+ (* 1/64 (/ 0 64)))) into 0
4.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/64))) into 0
4.667 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)))))) in x
4.667 * [taylor]: Taking taylor expansion of 0.25 in x
4.667 * [backup-simplify]: Simplify 0.25 into 0.25
4.667 * [taylor]: Taking taylor expansion of (* 0.25 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))) in x
4.667 * [taylor]: Taking taylor expansion of 0.25 in x
4.667 * [backup-simplify]: Simplify 0.25 into 0.25
4.667 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)))) in x
4.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x
4.667 * [taylor]: Taking taylor expansion of (pow x 3) in x
4.667 * [taylor]: Taking taylor expansion of x in x
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [backup-simplify]: Simplify 1 into 1
4.668 * [backup-simplify]: Simplify (* 1 1) into 1
4.668 * [backup-simplify]: Simplify (* 1 1) into 1
4.669 * [backup-simplify]: Simplify (/ 1 1) into 1
4.669 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))) in x
4.669 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)) in x
4.669 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3) in x
4.669 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
4.669 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
4.669 * [taylor]: Taking taylor expansion of 4 in x
4.669 * [backup-simplify]: Simplify 4 into 4
4.669 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
4.669 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.669 * [taylor]: Taking taylor expansion of p in x
4.669 * [backup-simplify]: Simplify p into p
4.669 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.670 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
4.670 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.670 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.670 * [taylor]: Taking taylor expansion of x in x
4.670 * [backup-simplify]: Simplify 0 into 0
4.670 * [backup-simplify]: Simplify 1 into 1
4.670 * [backup-simplify]: Simplify (* 1 1) into 1
4.671 * [backup-simplify]: Simplify (/ 1 1) into 1
4.671 * [backup-simplify]: Simplify (+ 0 1) into 1
4.672 * [backup-simplify]: Simplify (* 1 1) into 1
4.672 * [backup-simplify]: Simplify (* 1 1) into 1
4.673 * [backup-simplify]: Simplify (/ 1 1) into 1
4.673 * [backup-simplify]: Simplify (sqrt 1) into 1
4.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.675 * [backup-simplify]: Simplify (+ 0 0) into 0
4.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.679 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)))))) in x
4.679 * [taylor]: Taking taylor expansion of 0.25 in x
4.679 * [backup-simplify]: Simplify 0.25 into 0.25
4.679 * [taylor]: Taking taylor expansion of (* 0.25 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))) in x
4.679 * [taylor]: Taking taylor expansion of 0.25 in x
4.679 * [backup-simplify]: Simplify 0.25 into 0.25
4.679 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)))) in x
4.679 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x
4.679 * [taylor]: Taking taylor expansion of (pow x 3) in x
4.679 * [taylor]: Taking taylor expansion of x in x
4.679 * [backup-simplify]: Simplify 0 into 0
4.679 * [backup-simplify]: Simplify 1 into 1
4.680 * [backup-simplify]: Simplify (* 1 1) into 1
4.680 * [backup-simplify]: Simplify (* 1 1) into 1
4.681 * [backup-simplify]: Simplify (/ 1 1) into 1
4.681 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))) in x
4.681 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)) in x
4.681 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3) in x
4.681 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
4.681 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
4.681 * [taylor]: Taking taylor expansion of 4 in x
4.681 * [backup-simplify]: Simplify 4 into 4
4.681 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
4.681 * [taylor]: Taking taylor expansion of (pow p 2) in x
4.681 * [taylor]: Taking taylor expansion of p in x
4.681 * [backup-simplify]: Simplify p into p
4.681 * [backup-simplify]: Simplify (* p p) into (pow p 2)
4.681 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
4.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.681 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.681 * [taylor]: Taking taylor expansion of x in x
4.681 * [backup-simplify]: Simplify 0 into 0
4.681 * [backup-simplify]: Simplify 1 into 1
4.682 * [backup-simplify]: Simplify (* 1 1) into 1
4.682 * [backup-simplify]: Simplify (/ 1 1) into 1
4.682 * [backup-simplify]: Simplify (+ 0 1) into 1
4.683 * [backup-simplify]: Simplify (* 1 1) into 1
4.683 * [backup-simplify]: Simplify (* 1 1) into 1
4.683 * [backup-simplify]: Simplify (/ 1 1) into 1
4.684 * [backup-simplify]: Simplify (sqrt 1) into 1
4.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.685 * [backup-simplify]: Simplify (+ 0 0) into 0
4.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.689 * [backup-simplify]: Simplify (* 1 1) into 1
4.689 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
4.689 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
4.690 * [backup-simplify]: Simplify (+ 0.25 (- 0.25)) into 0
4.690 * [taylor]: Taking taylor expansion of 0 in p
4.690 * [backup-simplify]: Simplify 0 into 0
4.690 * [backup-simplify]: Simplify 0 into 0
4.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.694 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0
4.694 * [backup-simplify]: Simplify (- 0) into 0
4.694 * [backup-simplify]: Simplify (+ 0 0) into 0
4.694 * [taylor]: Taking taylor expansion of 0 in p
4.694 * [backup-simplify]: Simplify 0 into 0
4.694 * [backup-simplify]: Simplify 0 into 0
4.694 * [backup-simplify]: Simplify 0 into 0
4.694 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
4.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.697 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
4.697 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 (pow p 2)))) (+ (* 0 0) (* (* 4 (/ 1 (pow p 2))) 1))) into (* 8 (/ 1 (pow p 2)))
4.698 * [backup-simplify]: Simplify (+ (* 1 (* 8 (/ 1 (pow p 2)))) (+ (* 0 0) (* (* 4 (/ 1 (pow p 2))) 1))) into (* 12 (/ 1 (pow p 2)))
4.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 12 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 12 (/ 1 (pow p 2))))
4.700 * [backup-simplify]: Simplify (/ (- (- (* 12 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -6 (pow p 2))
4.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.703 * [backup-simplify]: Simplify (+ (* 1 (/ -6 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 6 (/ 1 (pow p 2))))
4.704 * [backup-simplify]: Simplify (+ (* 0.25 (- (* 6 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.5 (/ 1 (pow p 2))))
4.704 * [backup-simplify]: Simplify (- (- (* 1.5 (/ 1 (pow p 2))))) into (* 1.5 (/ 1 (pow p 2)))
4.704 * [backup-simplify]: Simplify (+ 0 (* 1.5 (/ 1 (pow p 2)))) into (* 1.5 (/ 1 (pow p 2)))
4.704 * [taylor]: Taking taylor expansion of (* 1.5 (/ 1 (pow p 2))) in p
4.704 * [taylor]: Taking taylor expansion of 1.5 in p
4.704 * [backup-simplify]: Simplify 1.5 into 1.5
4.704 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
4.704 * [taylor]: Taking taylor expansion of (pow p 2) in p
4.704 * [taylor]: Taking taylor expansion of p in p
4.704 * [backup-simplify]: Simplify 0 into 0
4.704 * [backup-simplify]: Simplify 1 into 1
4.705 * [backup-simplify]: Simplify (* 1 1) into 1
4.705 * [backup-simplify]: Simplify (/ 1 1) into 1
4.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.712 * [backup-simplify]: Simplify (+ (* 1.5 0) (+ (* 0 0) (* 0 1))) into 0
4.712 * [backup-simplify]: Simplify 0 into 0
4.712 * [backup-simplify]: Simplify 0 into 0
4.712 * [backup-simplify]: Simplify 0 into 0
4.712 * [backup-simplify]: Simplify 0 into 0
4.712 * * * [progress]: simplifying candidates
4.712 * * * * [progress]: [ 1 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (pow (+ (* p (* 4 p)) (* x x)) 1/2)))))))))>
4.712 * * * * [progress]: [ 2 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (pow (sqrt (+ (* p (* 4 p)) (* x x))) 1)))))))))>
4.712 * * * * [progress]: [ 3 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (exp (log (sqrt (+ (* p (* 4 p)) (* x x)))))))))))))>
4.712 * * * * [progress]: [ 4 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (log (exp (sqrt (+ (* p (* 4 p)) (* x x)))))))))))))>
4.713 * * * * [progress]: [ 5 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (* (* (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))))))))))))>
4.713 * * * * [progress]: [ 6 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (cbrt (* (* (sqrt (+ (* p (* 4 p)) (* x x))) (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (+ (* p (* 4 p)) (* x x)))))))))))))>
4.713 * * * * [progress]: [ 7 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (* (sqrt (* (cbrt (+ (* p (* 4 p)) (* x x))) (cbrt (+ (* p (* 4 p)) (* x x))))) (sqrt (cbrt (+ (* p (* 4 p)) (* x x)))))))))))))>
4.713 * * * * [progress]: [ 8 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))))))))))))>
4.713 * * * * [progress]: [ 9 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (* (sqrt 1) (sqrt (+ (* p (* 4 p)) (* x x))))))))))))>
4.713 * * * * [progress]: [ 10 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (/ (sqrt (+ (pow (* p (* 4 p)) 3) (pow (* x x) 3))) (sqrt (+ (* (* p (* 4 p)) (* p (* 4 p))) (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* x x))))))))))))))>
4.713 * * * * [progress]: [ 11 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (/ (sqrt (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* x x)))) (sqrt (- (* p (* 4 p)) (* x x))))))))))))>
4.713 * * * * [progress]: [ 12 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (pow (+ (* p (* 4 p)) (* x x)) (/ 1 2))))))))))>
4.713 * * * * [progress]: [ 13 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))))))))))))>
4.713 * * * * [progress]: [ 14 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (fabs (sqrt (+ (* p (* 4 p)) (* x x))))))))))))>
4.714 * * * * [progress]: [ 15 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (* 1 (sqrt (+ (* p (* 4 p)) (* x x))))))))))))>
4.714 * * * * [progress]: [ 16 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (pow (+ (* p (* 4 p)) (* x x)) 1/2)) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.714 * * * * [progress]: [ 17 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (pow (sqrt (+ (* p (* 4 p)) (* x x))) 1)) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.714 * * * * [progress]: [ 18 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (exp (log (sqrt (+ (* p (* 4 p)) (* x x)))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.714 * * * * [progress]: [ 19 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (log (exp (sqrt (+ (* p (* 4 p)) (* x x)))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.714 * * * * [progress]: [ 20 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (* (* (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.714 * * * * [progress]: [ 21 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (cbrt (* (* (sqrt (+ (* p (* 4 p)) (* x x))) (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (+ (* p (* 4 p)) (* x x)))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.714 * * * * [progress]: [ 22 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (* (sqrt (* (cbrt (+ (* p (* 4 p)) (* x x))) (cbrt (+ (* p (* 4 p)) (* x x))))) (sqrt (cbrt (+ (* p (* 4 p)) (* x x)))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.714 * * * * [progress]: [ 23 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.714 * * * * [progress]: [ 24 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (* (sqrt 1) (sqrt (+ (* p (* 4 p)) (* x x))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.714 * * * * [progress]: [ 25 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (/ (sqrt (+ (pow (* p (* 4 p)) 3) (pow (* x x) 3))) (sqrt (+ (* (* p (* 4 p)) (* p (* 4 p))) (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.715 * * * * [progress]: [ 26 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (/ (sqrt (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* x x)))) (sqrt (- (* p (* 4 p)) (* x x))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.715 * * * * [progress]: [ 27 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (pow (+ (* p (* 4 p)) (* x x)) (/ 1 2))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.715 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.715 * * * * [progress]: [ 29 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (fabs (sqrt (+ (* p (* 4 p)) (* x x))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.715 * * * * [progress]: [ 30 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (* 1 (sqrt (+ (* p (* 4 p)) (* x x))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.715 * * * * [progress]: [ 31 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (pow (+ (* p (* 4 p)) (* x x)) 1/2))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.715 * * * * [progress]: [ 32 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (pow (sqrt (+ (* p (* 4 p)) (* x x))) 1))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.715 * * * * [progress]: [ 33 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (exp (log (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.715 * * * * [progress]: [ 34 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (log (exp (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.715 * * * * [progress]: [ 35 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (* (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.715 * * * * [progress]: [ 36 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (cbrt (* (* (sqrt (+ (* p (* 4 p)) (* x x))) (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.715 * * * * [progress]: [ 37 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (* (cbrt (+ (* p (* 4 p)) (* x x))) (cbrt (+ (* p (* 4 p)) (* x x))))) (sqrt (cbrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.716 * * * * [progress]: [ 38 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.716 * * * * [progress]: [ 39 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt 1) (sqrt (+ (* p (* 4 p)) (* x x)))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.716 * * * * [progress]: [ 40 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (/ (sqrt (+ (pow (* p (* 4 p)) 3) (pow (* x x) 3))) (sqrt (+ (* (* p (* 4 p)) (* p (* 4 p))) (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* x x)))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.716 * * * * [progress]: [ 41 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (/ (sqrt (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* x x)))) (sqrt (- (* p (* 4 p)) (* x x)))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.716 * * * * [progress]: [ 42 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (pow (+ (* p (* 4 p)) (* x x)) (/ 1 2)))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.716 * * * * [progress]: [ 43 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.716 * * * * [progress]: [ 44 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (fabs (sqrt (+ (* p (* 4 p)) (* x x)))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.716 * * * * [progress]: [ 45 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* 1 (sqrt (+ (* p (* 4 p)) (* x x)))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.716 * * * * [progress]: [ 46 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (log (* (exp (* 0.5 0.5)) (exp (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.716 * * * * [progress]: [ 47 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (pow (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x)))))) 1)) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.716 * * * * [progress]: [ 48 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (exp (log (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.717 * * * * [progress]: [ 49 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (log (exp (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.717 * * * * [progress]: [ 50 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (* (* (cbrt (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (cbrt (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x)))))))) (cbrt (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.717 * * * * [progress]: [ 51 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (cbrt (* (* (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x)))))) (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.717 * * * * [progress]: [ 52 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (* (sqrt (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (sqrt (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.717 * * * * [progress]: [ 53 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (/ (+ (pow (* 0.5 0.5) 3) (pow (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))) 3)) (+ (* (* 0.5 0.5) (* 0.5 0.5)) (- (* (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x)))))) (* (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x)))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.717 * * * * [progress]: [ 54 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (* 1 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x)))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.717 * * * * [progress]: [ 55 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (/ (- (* (* 0.5 0.5) (* 0.5 0.5)) (* (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x)))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.717 * * * * [progress]: [ 56 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))) (* 0.5 0.5))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.717 * * * * [progress]: [ 57 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x x))))))))>
4.717 * * * * [progress]: [ 58 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (* 2 p)))))))))>
4.717 * * * * [progress]: [ 59 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (* -2 p)))))))))>
4.717 * * * * [progress]: [ 60 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x x) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.718 * * * * [progress]: [ 61 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (* 2 p)) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.718 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (* -2 p)) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.718 * * * * [progress]: [ 63 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) x)))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.718 * * * * [progress]: [ 64 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* 2 p))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.718 * * * * [progress]: [ 65 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* -2 p))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.718 * * * * [progress]: [ 66 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 0.25) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.718 * * * * [progress]: [ 67 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 0.5) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.718 * * * * [progress]: [ 68 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 0) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
4.719 * [simplify]: Simplifying:
  (log (sqrt (+ (* p (* 4 p)) (* x x))))
  (exp (sqrt (+ (* p (* 4 p)) (* x x))))
  (* (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))))
  (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (* (* (sqrt (+ (* p (* 4 p)) (* x x))) (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (* (cbrt (+ (* p (* 4 p)) (* x x))) (cbrt (+ (* p (* 4 p)) (* x x)))))
  (sqrt (cbrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt 1)
  (sqrt (+ (* p (* 4 p)) (* x x)))
  (sqrt (+ (pow (* p (* 4 p)) 3) (pow (* x x) 3)))
  (sqrt (+ (* (* p (* 4 p)) (* p (* 4 p))) (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* x x)))))
  (sqrt (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* x x))))
  (sqrt (- (* p (* 4 p)) (* x x)))
  (/ 1 2)
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (log (sqrt (+ (* p (* 4 p)) (* x x))))
  (exp (sqrt (+ (* p (* 4 p)) (* x x))))
  (* (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))))
  (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (* (* (sqrt (+ (* p (* 4 p)) (* x x))) (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (* (cbrt (+ (* p (* 4 p)) (* x x))) (cbrt (+ (* p (* 4 p)) (* x x)))))
  (sqrt (cbrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt 1)
  (sqrt (+ (* p (* 4 p)) (* x x)))
  (sqrt (+ (pow (* p (* 4 p)) 3) (pow (* x x) 3)))
  (sqrt (+ (* (* p (* 4 p)) (* p (* 4 p))) (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* x x)))))
  (sqrt (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* x x))))
  (sqrt (- (* p (* 4 p)) (* x x)))
  (/ 1 2)
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (log (sqrt (+ (* p (* 4 p)) (* x x))))
  (exp (sqrt (+ (* p (* 4 p)) (* x x))))
  (* (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))))
  (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (* (* (sqrt (+ (* p (* 4 p)) (* x x))) (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (* (cbrt (+ (* p (* 4 p)) (* x x))) (cbrt (+ (* p (* 4 p)) (* x x)))))
  (sqrt (cbrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt 1)
  (sqrt (+ (* p (* 4 p)) (* x x)))
  (sqrt (+ (pow (* p (* 4 p)) 3) (pow (* x x) 3)))
  (sqrt (+ (* (* p (* 4 p)) (* p (* 4 p))) (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* x x)))))
  (sqrt (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* x x))))
  (sqrt (- (* p (* 4 p)) (* x x)))
  (/ 1 2)
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (* (exp (* 0.5 0.5)) (exp (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x)))))))
  (log (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x)))))))
  (exp (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x)))))))
  (* (cbrt (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (cbrt (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))))
  (cbrt (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x)))))))
  (* (* (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x)))))) (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x)))))))
  (sqrt (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x)))))))
  (sqrt (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x)))))))
  (+ (pow (* 0.5 0.5) 3) (pow (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))) 3))
  (+ (* (* 0.5 0.5) (* 0.5 0.5)) (- (* (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x)))))) (* (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))))
  (- (* (* 0.5 0.5) (* 0.5 0.5)) (* (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x)))))))
  (- (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))
  x
  (* 2 p)
  (* -2 p)
  x
  (* 2 p)
  (* -2 p)
  x
  (* 2 p)
  (* -2 p)
  0.25
  0.5
  0
4.721 * * [simplify]: iteration 1: (70 enodes)
4.748 * * [simplify]: iteration 2: (195 enodes)
4.829 * * [simplify]: iteration 3: (713 enodes)
5.795 * * [simplify]: Extracting #0: cost 31 inf + 0
5.795 * * [simplify]: Extracting #1: cost 87 inf + 6
5.797 * * [simplify]: Extracting #2: cost 634 inf + 174
5.802 * * [simplify]: Extracting #3: cost 1157 inf + 7473
5.820 * * [simplify]: Extracting #4: cost 972 inf + 74302
5.924 * * [simplify]: Extracting #5: cost 364 inf + 340485
6.073 * * [simplify]: Extracting #6: cost 72 inf + 496347
6.307 * * [simplify]: Extracting #7: cost 0 inf + 538435
6.502 * * [simplify]: Extracting #8: cost 0 inf + 538315
6.730 * [simplify]: Simplified to:
  (log (sqrt (+ (* p (* p 4)) (* x x))))
  (exp (sqrt (+ (* p (* p 4)) (* x x))))
  (* (cbrt (sqrt (+ (* p (* p 4)) (* x x)))) (cbrt (sqrt (+ (* p (* p 4)) (* x x)))))
  (cbrt (sqrt (+ (* p (* p 4)) (* x x))))
  (* (+ (* p (* p 4)) (* x x)) (sqrt (+ (* p (* p 4)) (* x x))))
  (fabs (cbrt (+ (* p (* p 4)) (* x x))))
  (sqrt (cbrt (+ (* p (* p 4)) (* x x))))
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  1
  (sqrt (+ (* p (* p 4)) (* x x)))
  (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* p (* p 4)) (* (* p (* p 4)) (* p (* p 4))))))
  (sqrt (+ (* (* p (* p 4)) (- (* p (* p 4)) (* x x))) (* (* x x) (* x x))))
  (sqrt (* (- (* p (* p 4)) (* x x)) (+ (* p (* p 4)) (* x x))))
  (sqrt (- (* p (* p 4)) (* x x)))
  1/2
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  (log (sqrt (+ (* p (* p 4)) (* x x))))
  (exp (sqrt (+ (* p (* p 4)) (* x x))))
  (* (cbrt (sqrt (+ (* p (* p 4)) (* x x)))) (cbrt (sqrt (+ (* p (* p 4)) (* x x)))))
  (cbrt (sqrt (+ (* p (* p 4)) (* x x))))
  (* (+ (* p (* p 4)) (* x x)) (sqrt (+ (* p (* p 4)) (* x x))))
  (fabs (cbrt (+ (* p (* p 4)) (* x x))))
  (sqrt (cbrt (+ (* p (* p 4)) (* x x))))
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  1
  (sqrt (+ (* p (* p 4)) (* x x)))
  (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* p (* p 4)) (* (* p (* p 4)) (* p (* p 4))))))
  (sqrt (+ (* (* p (* p 4)) (- (* p (* p 4)) (* x x))) (* (* x x) (* x x))))
  (sqrt (* (- (* p (* p 4)) (* x x)) (+ (* p (* p 4)) (* x x))))
  (sqrt (- (* p (* p 4)) (* x x)))
  1/2
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  (log (sqrt (+ (* p (* p 4)) (* x x))))
  (exp (sqrt (+ (* p (* p 4)) (* x x))))
  (* (cbrt (sqrt (+ (* p (* p 4)) (* x x)))) (cbrt (sqrt (+ (* p (* p 4)) (* x x)))))
  (cbrt (sqrt (+ (* p (* p 4)) (* x x))))
  (* (+ (* p (* p 4)) (* x x)) (sqrt (+ (* p (* p 4)) (* x x))))
  (fabs (cbrt (+ (* p (* p 4)) (* x x))))
  (sqrt (cbrt (+ (* p (* p 4)) (* x x))))
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  1
  (sqrt (+ (* p (* p 4)) (* x x)))
  (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* p (* p 4)) (* (* p (* p 4)) (* p (* p 4))))))
  (sqrt (+ (* (* p (* p 4)) (- (* p (* p 4)) (* x x))) (* (* x x) (* x x))))
  (sqrt (* (- (* p (* p 4)) (* x x)) (+ (* p (* p 4)) (* x x))))
  (sqrt (- (* p (* p 4)) (* x x)))
  1/2
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  (exp (+ (/ (* x (* 0.5 0.5)) (* (/ (sqrt (+ (* p (* p 4)) (* x x))) (* x x)) (+ (* p (* p 4)) (* x x)))) (* 0.5 0.5)))
  (log (+ (/ (* x (* 0.5 0.5)) (* (/ (sqrt (+ (* p (* p 4)) (* x x))) (* x x)) (+ (* p (* p 4)) (* x x)))) (* 0.5 0.5)))
  (exp (+ (/ (* x (* 0.5 0.5)) (* (/ (sqrt (+ (* p (* p 4)) (* x x))) (* x x)) (+ (* p (* p 4)) (* x x)))) (* 0.5 0.5)))
  (* (cbrt (+ (/ (* x (* 0.5 0.5)) (* (/ (sqrt (+ (* p (* p 4)) (* x x))) (* x x)) (+ (* p (* p 4)) (* x x)))) (* 0.5 0.5))) (cbrt (+ (/ (* x (* 0.5 0.5)) (* (/ (sqrt (+ (* p (* p 4)) (* x x))) (* x x)) (+ (* p (* p 4)) (* x x)))) (* 0.5 0.5))))
  (cbrt (+ (/ (* x (* 0.5 0.5)) (* (/ (sqrt (+ (* p (* p 4)) (* x x))) (* x x)) (+ (* p (* p 4)) (* x x)))) (* 0.5 0.5)))
  (* (+ (/ (* x (* 0.5 0.5)) (* (/ (sqrt (+ (* p (* p 4)) (* x x))) (* x x)) (+ (* p (* p 4)) (* x x)))) (* 0.5 0.5)) (* (+ (/ (* x (* 0.5 0.5)) (* (/ (sqrt (+ (* p (* p 4)) (* x x))) (* x x)) (+ (* p (* p 4)) (* x x)))) (* 0.5 0.5)) (+ (/ (* x (* 0.5 0.5)) (* (/ (sqrt (+ (* p (* p 4)) (* x x))) (* x x)) (+ (* p (* p 4)) (* x x)))) (* 0.5 0.5))))
  (sqrt (+ (/ (* x (* 0.5 0.5)) (* (/ (sqrt (+ (* p (* p 4)) (* x x))) (* x x)) (+ (* p (* p 4)) (* x x)))) (* 0.5 0.5)))
  (sqrt (+ (/ (* x (* 0.5 0.5)) (* (/ (sqrt (+ (* p (* p 4)) (* x x))) (* x x)) (+ (* p (* p 4)) (* x x)))) (* 0.5 0.5)))
  (+ (* (* (* 0.5 0.5) (* 0.5 0.5)) (* 0.5 0.5)) (* (* (/ (* x (* 0.5 0.5)) (* (/ (sqrt (+ (* p (* p 4)) (* x x))) (* x x)) (+ (* p (* p 4)) (* x x)))) (/ (* x (* 0.5 0.5)) (* (/ (sqrt (+ (* p (* p 4)) (* x x))) (* x x)) (+ (* p (* p 4)) (* x x))))) (/ (* x (* 0.5 0.5)) (* (/ (sqrt (+ (* p (* p 4)) (* x x))) (* x x)) (+ (* p (* p 4)) (* x x))))))
  (+ (* (* 0.5 0.5) (* 0.5 0.5)) (* (- (/ (* x (* 0.5 0.5)) (* (/ (sqrt (+ (* p (* p 4)) (* x x))) (* x x)) (+ (* p (* p 4)) (* x x)))) (* 0.5 0.5)) (/ (* x (* 0.5 0.5)) (* (/ (sqrt (+ (* p (* p 4)) (* x x))) (* x x)) (+ (* p (* p 4)) (* x x))))))
  (* (+ (/ (* x (* 0.5 0.5)) (* (/ (sqrt (+ (* p (* p 4)) (* x x))) (* x x)) (+ (* p (* p 4)) (* x x)))) (* 0.5 0.5)) (- (* 0.5 0.5) (/ (* x (* 0.5 0.5)) (* (/ (sqrt (+ (* p (* p 4)) (* x x))) (* x x)) (+ (* p (* p 4)) (* x x))))))
  (- (* 0.5 0.5) (/ (* x (* 0.5 0.5)) (* (/ (sqrt (+ (* p (* p 4)) (* x x))) (* x x)) (+ (* p (* p 4)) (* x x)))))
  x
  (* 2 p)
  (* p -2)
  x
  (* 2 p)
  (* p -2)
  x
  (* 2 p)
  (* p -2)
  0.25
  0.5
  0
6.758 * * * [progress]: adding candidates to table
7.757 * * [progress]: iteration 3 / 4
7.757 * * * [progress]: picking best candidate
7.788 * * * * [pick]: Picked  #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
7.788 * * * [progress]: localizing error
7.890 * * * [progress]: generating rewritten candidates
7.890 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2 2 2 2)
7.913 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 2)
7.942 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 2 2 1)
7.964 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2 2 1 1)
7.988 * * * [progress]: generating series expansions
7.988 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2 2 2 2)
7.988 * [backup-simplify]: Simplify (sqrt (+ (* p (* 4 p)) (* x x))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
7.988 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (p x) around 0
7.988 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
7.988 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
7.988 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.988 * [taylor]: Taking taylor expansion of x in x
7.988 * [backup-simplify]: Simplify 0 into 0
7.988 * [backup-simplify]: Simplify 1 into 1
7.988 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
7.988 * [taylor]: Taking taylor expansion of 4 in x
7.988 * [backup-simplify]: Simplify 4 into 4
7.988 * [taylor]: Taking taylor expansion of (pow p 2) in x
7.988 * [taylor]: Taking taylor expansion of p in x
7.988 * [backup-simplify]: Simplify p into p
7.989 * [backup-simplify]: Simplify (* p p) into (pow p 2)
7.989 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
7.989 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
7.989 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
7.989 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
7.990 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
7.990 * [backup-simplify]: Simplify (+ 0 0) into 0
7.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
7.990 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
7.990 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
7.990 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.990 * [taylor]: Taking taylor expansion of x in p
7.990 * [backup-simplify]: Simplify x into x
7.990 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
7.990 * [taylor]: Taking taylor expansion of 4 in p
7.990 * [backup-simplify]: Simplify 4 into 4
7.990 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.990 * [taylor]: Taking taylor expansion of p in p
7.990 * [backup-simplify]: Simplify 0 into 0
7.990 * [backup-simplify]: Simplify 1 into 1
7.990 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.991 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.991 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
7.991 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.991 * [backup-simplify]: Simplify (+ 0 0) into 0
7.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
7.991 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
7.991 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
7.991 * [taylor]: Taking taylor expansion of (pow x 2) in p
7.991 * [taylor]: Taking taylor expansion of x in p
7.991 * [backup-simplify]: Simplify x into x
7.991 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
7.991 * [taylor]: Taking taylor expansion of 4 in p
7.991 * [backup-simplify]: Simplify 4 into 4
7.991 * [taylor]: Taking taylor expansion of (pow p 2) in p
7.991 * [taylor]: Taking taylor expansion of p in p
7.991 * [backup-simplify]: Simplify 0 into 0
7.991 * [backup-simplify]: Simplify 1 into 1
7.991 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.992 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.992 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
7.992 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.992 * [backup-simplify]: Simplify (+ 0 0) into 0
7.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
7.992 * [taylor]: Taking taylor expansion of x in x
7.992 * [backup-simplify]: Simplify 0 into 0
7.992 * [backup-simplify]: Simplify 1 into 1
7.992 * [backup-simplify]: Simplify 0 into 0
7.992 * [taylor]: Taking taylor expansion of 0 in x
7.992 * [backup-simplify]: Simplify 0 into 0
7.992 * [backup-simplify]: Simplify 0 into 0
7.992 * [backup-simplify]: Simplify 1 into 1
7.993 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.993 * [backup-simplify]: Simplify (* 1 1) into 1
7.994 * [backup-simplify]: Simplify (* 4 1) into 4
7.994 * [backup-simplify]: Simplify (+ 0 4) into 4
7.995 * [backup-simplify]: Simplify (/ (- 4 (pow 0 2) (+)) (* 2 x)) into (/ 2 x)
7.995 * [taylor]: Taking taylor expansion of (/ 2 x) in x
7.995 * [taylor]: Taking taylor expansion of 2 in x
7.995 * [backup-simplify]: Simplify 2 into 2
7.995 * [taylor]: Taking taylor expansion of x in x
7.995 * [backup-simplify]: Simplify 0 into 0
7.995 * [backup-simplify]: Simplify 1 into 1
7.995 * [backup-simplify]: Simplify (/ 2 1) into 2
7.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
7.996 * [backup-simplify]: Simplify 0 into 0
7.996 * [backup-simplify]: Simplify 0 into 0
7.996 * [backup-simplify]: Simplify 0 into 0
7.997 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
7.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.998 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
7.998 * [backup-simplify]: Simplify (+ 0 0) into 0
7.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 x))))) (* 2 x)) into 0
7.998 * [taylor]: Taking taylor expansion of 0 in x
7.998 * [backup-simplify]: Simplify 0 into 0
7.999 * [backup-simplify]: Simplify 0 into 0
7.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.999 * [backup-simplify]: Simplify 0 into 0
7.999 * [backup-simplify]: Simplify 0 into 0
8.000 * [backup-simplify]: Simplify (* 1 (* x 1)) into x
8.000 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 p) (* 4 (/ 1 p))) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
8.000 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0
8.000 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.000 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.000 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.000 * [taylor]: Taking taylor expansion of 4 in x
8.000 * [backup-simplify]: Simplify 4 into 4
8.000 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.000 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.000 * [taylor]: Taking taylor expansion of p in x
8.000 * [backup-simplify]: Simplify p into p
8.000 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.000 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.000 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.000 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.000 * [taylor]: Taking taylor expansion of x in x
8.000 * [backup-simplify]: Simplify 0 into 0
8.000 * [backup-simplify]: Simplify 1 into 1
8.001 * [backup-simplify]: Simplify (* 1 1) into 1
8.001 * [backup-simplify]: Simplify (/ 1 1) into 1
8.001 * [backup-simplify]: Simplify (+ 0 1) into 1
8.002 * [backup-simplify]: Simplify (sqrt 1) into 1
8.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.003 * [backup-simplify]: Simplify (+ 0 0) into 0
8.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.004 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.004 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.004 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.004 * [taylor]: Taking taylor expansion of 4 in p
8.004 * [backup-simplify]: Simplify 4 into 4
8.004 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.004 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.004 * [taylor]: Taking taylor expansion of p in p
8.004 * [backup-simplify]: Simplify 0 into 0
8.004 * [backup-simplify]: Simplify 1 into 1
8.004 * [backup-simplify]: Simplify (* 1 1) into 1
8.005 * [backup-simplify]: Simplify (/ 1 1) into 1
8.005 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.005 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.005 * [taylor]: Taking taylor expansion of x in p
8.005 * [backup-simplify]: Simplify x into x
8.005 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.005 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.005 * [backup-simplify]: Simplify (* 4 1) into 4
8.006 * [backup-simplify]: Simplify (+ 4 0) into 4
8.006 * [backup-simplify]: Simplify (sqrt 4) into 2
8.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.008 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.009 * [backup-simplify]: Simplify (+ 0 0) into 0
8.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
8.009 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.009 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.009 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.009 * [taylor]: Taking taylor expansion of 4 in p
8.009 * [backup-simplify]: Simplify 4 into 4
8.009 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.009 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.009 * [taylor]: Taking taylor expansion of p in p
8.009 * [backup-simplify]: Simplify 0 into 0
8.009 * [backup-simplify]: Simplify 1 into 1
8.010 * [backup-simplify]: Simplify (* 1 1) into 1
8.010 * [backup-simplify]: Simplify (/ 1 1) into 1
8.010 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.010 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.010 * [taylor]: Taking taylor expansion of x in p
8.010 * [backup-simplify]: Simplify x into x
8.010 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.010 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.011 * [backup-simplify]: Simplify (* 4 1) into 4
8.011 * [backup-simplify]: Simplify (+ 4 0) into 4
8.012 * [backup-simplify]: Simplify (sqrt 4) into 2
8.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.013 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.014 * [backup-simplify]: Simplify (+ 0 0) into 0
8.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
8.015 * [taylor]: Taking taylor expansion of 2 in x
8.015 * [backup-simplify]: Simplify 2 into 2
8.015 * [taylor]: Taking taylor expansion of 0 in x
8.015 * [backup-simplify]: Simplify 0 into 0
8.015 * [backup-simplify]: Simplify 2 into 2
8.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.017 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
8.018 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
8.019 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2))
8.019 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x
8.019 * [taylor]: Taking taylor expansion of 1/4 in x
8.019 * [backup-simplify]: Simplify 1/4 into 1/4
8.019 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.019 * [taylor]: Taking taylor expansion of x in x
8.019 * [backup-simplify]: Simplify 0 into 0
8.019 * [backup-simplify]: Simplify 1 into 1
8.020 * [backup-simplify]: Simplify (* 1 1) into 1
8.020 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
8.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
8.022 * [backup-simplify]: Simplify 0 into 0
8.022 * [backup-simplify]: Simplify 0 into 0
8.022 * [backup-simplify]: Simplify 0 into 0
8.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.025 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.025 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.025 * [backup-simplify]: Simplify (+ 0 0) into 0
8.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0
8.026 * [taylor]: Taking taylor expansion of 0 in x
8.026 * [backup-simplify]: Simplify 0 into 0
8.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.028 * [backup-simplify]: Simplify 0 into 0
8.028 * [backup-simplify]: Simplify 0 into 0
8.028 * [backup-simplify]: Simplify 0 into 0
8.028 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 p)))) into (* 2 p)
8.028 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- p)) (* 4 (/ 1 (- p)))) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
8.028 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0
8.028 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.028 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.028 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.028 * [taylor]: Taking taylor expansion of 4 in x
8.028 * [backup-simplify]: Simplify 4 into 4
8.028 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.028 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.028 * [taylor]: Taking taylor expansion of p in x
8.028 * [backup-simplify]: Simplify p into p
8.028 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.028 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.028 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.028 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.028 * [taylor]: Taking taylor expansion of x in x
8.028 * [backup-simplify]: Simplify 0 into 0
8.028 * [backup-simplify]: Simplify 1 into 1
8.029 * [backup-simplify]: Simplify (* 1 1) into 1
8.029 * [backup-simplify]: Simplify (/ 1 1) into 1
8.030 * [backup-simplify]: Simplify (+ 0 1) into 1
8.030 * [backup-simplify]: Simplify (sqrt 1) into 1
8.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.032 * [backup-simplify]: Simplify (+ 0 0) into 0
8.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.032 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.032 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.032 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.032 * [taylor]: Taking taylor expansion of 4 in p
8.032 * [backup-simplify]: Simplify 4 into 4
8.032 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.032 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.032 * [taylor]: Taking taylor expansion of p in p
8.032 * [backup-simplify]: Simplify 0 into 0
8.032 * [backup-simplify]: Simplify 1 into 1
8.033 * [backup-simplify]: Simplify (* 1 1) into 1
8.033 * [backup-simplify]: Simplify (/ 1 1) into 1
8.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.033 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.033 * [taylor]: Taking taylor expansion of x in p
8.033 * [backup-simplify]: Simplify x into x
8.033 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.033 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.034 * [backup-simplify]: Simplify (* 4 1) into 4
8.034 * [backup-simplify]: Simplify (+ 4 0) into 4
8.035 * [backup-simplify]: Simplify (sqrt 4) into 2
8.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.036 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.037 * [backup-simplify]: Simplify (+ 0 0) into 0
8.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
8.037 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.037 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.038 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.038 * [taylor]: Taking taylor expansion of 4 in p
8.038 * [backup-simplify]: Simplify 4 into 4
8.038 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.038 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.038 * [taylor]: Taking taylor expansion of p in p
8.038 * [backup-simplify]: Simplify 0 into 0
8.038 * [backup-simplify]: Simplify 1 into 1
8.038 * [backup-simplify]: Simplify (* 1 1) into 1
8.038 * [backup-simplify]: Simplify (/ 1 1) into 1
8.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.038 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.038 * [taylor]: Taking taylor expansion of x in p
8.038 * [backup-simplify]: Simplify x into x
8.039 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.039 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.039 * [backup-simplify]: Simplify (* 4 1) into 4
8.039 * [backup-simplify]: Simplify (+ 4 0) into 4
8.040 * [backup-simplify]: Simplify (sqrt 4) into 2
8.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.042 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.042 * [backup-simplify]: Simplify (+ 0 0) into 0
8.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
8.043 * [taylor]: Taking taylor expansion of 2 in x
8.043 * [backup-simplify]: Simplify 2 into 2
8.043 * [taylor]: Taking taylor expansion of 0 in x
8.043 * [backup-simplify]: Simplify 0 into 0
8.043 * [backup-simplify]: Simplify 2 into 2
8.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.046 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
8.046 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
8.048 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2))
8.048 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x
8.048 * [taylor]: Taking taylor expansion of 1/4 in x
8.048 * [backup-simplify]: Simplify 1/4 into 1/4
8.048 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.048 * [taylor]: Taking taylor expansion of x in x
8.048 * [backup-simplify]: Simplify 0 into 0
8.048 * [backup-simplify]: Simplify 1 into 1
8.048 * [backup-simplify]: Simplify (* 1 1) into 1
8.049 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
8.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
8.050 * [backup-simplify]: Simplify 0 into 0
8.050 * [backup-simplify]: Simplify 0 into 0
8.050 * [backup-simplify]: Simplify 0 into 0
8.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.053 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.053 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.054 * [backup-simplify]: Simplify (+ 0 0) into 0
8.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0
8.054 * [taylor]: Taking taylor expansion of 0 in x
8.054 * [backup-simplify]: Simplify 0 into 0
8.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.059 * [backup-simplify]: Simplify 0 into 0
8.059 * [backup-simplify]: Simplify 0 into 0
8.059 * [backup-simplify]: Simplify 0 into 0
8.059 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- p))))) into (* -2 p)
8.059 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 2)
8.059 * [backup-simplify]: Simplify (sqrt (+ (* p (* 4 p)) (* x x))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
8.059 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (p x) around 0
8.059 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
8.059 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
8.059 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.059 * [taylor]: Taking taylor expansion of x in x
8.059 * [backup-simplify]: Simplify 0 into 0
8.059 * [backup-simplify]: Simplify 1 into 1
8.059 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
8.059 * [taylor]: Taking taylor expansion of 4 in x
8.059 * [backup-simplify]: Simplify 4 into 4
8.060 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.060 * [taylor]: Taking taylor expansion of p in x
8.060 * [backup-simplify]: Simplify p into p
8.060 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.060 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
8.060 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
8.060 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
8.060 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
8.061 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
8.061 * [backup-simplify]: Simplify (+ 0 0) into 0
8.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
8.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
8.061 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
8.061 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.061 * [taylor]: Taking taylor expansion of x in p
8.061 * [backup-simplify]: Simplify x into x
8.061 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
8.061 * [taylor]: Taking taylor expansion of 4 in p
8.061 * [backup-simplify]: Simplify 4 into 4
8.061 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.061 * [taylor]: Taking taylor expansion of p in p
8.061 * [backup-simplify]: Simplify 0 into 0
8.061 * [backup-simplify]: Simplify 1 into 1
8.061 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.061 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.061 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
8.061 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.062 * [backup-simplify]: Simplify (+ 0 0) into 0
8.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
8.062 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
8.062 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
8.062 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.062 * [taylor]: Taking taylor expansion of x in p
8.062 * [backup-simplify]: Simplify x into x
8.062 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
8.062 * [taylor]: Taking taylor expansion of 4 in p
8.062 * [backup-simplify]: Simplify 4 into 4
8.062 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.062 * [taylor]: Taking taylor expansion of p in p
8.062 * [backup-simplify]: Simplify 0 into 0
8.062 * [backup-simplify]: Simplify 1 into 1
8.062 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.062 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.062 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
8.062 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.062 * [backup-simplify]: Simplify (+ 0 0) into 0
8.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
8.062 * [taylor]: Taking taylor expansion of x in x
8.062 * [backup-simplify]: Simplify 0 into 0
8.062 * [backup-simplify]: Simplify 1 into 1
8.062 * [backup-simplify]: Simplify 0 into 0
8.063 * [taylor]: Taking taylor expansion of 0 in x
8.063 * [backup-simplify]: Simplify 0 into 0
8.063 * [backup-simplify]: Simplify 0 into 0
8.063 * [backup-simplify]: Simplify 1 into 1
8.063 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
8.063 * [backup-simplify]: Simplify (* 1 1) into 1
8.063 * [backup-simplify]: Simplify (* 4 1) into 4
8.064 * [backup-simplify]: Simplify (+ 0 4) into 4
8.064 * [backup-simplify]: Simplify (/ (- 4 (pow 0 2) (+)) (* 2 x)) into (/ 2 x)
8.064 * [taylor]: Taking taylor expansion of (/ 2 x) in x
8.064 * [taylor]: Taking taylor expansion of 2 in x
8.064 * [backup-simplify]: Simplify 2 into 2
8.064 * [taylor]: Taking taylor expansion of x in x
8.064 * [backup-simplify]: Simplify 0 into 0
8.064 * [backup-simplify]: Simplify 1 into 1
8.064 * [backup-simplify]: Simplify (/ 2 1) into 2
8.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
8.065 * [backup-simplify]: Simplify 0 into 0
8.065 * [backup-simplify]: Simplify 0 into 0
8.065 * [backup-simplify]: Simplify 0 into 0
8.066 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
8.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.066 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.067 * [backup-simplify]: Simplify (+ 0 0) into 0
8.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 x))))) (* 2 x)) into 0
8.067 * [taylor]: Taking taylor expansion of 0 in x
8.067 * [backup-simplify]: Simplify 0 into 0
8.067 * [backup-simplify]: Simplify 0 into 0
8.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.068 * [backup-simplify]: Simplify 0 into 0
8.068 * [backup-simplify]: Simplify 0 into 0
8.068 * [backup-simplify]: Simplify (* 1 (* x 1)) into x
8.068 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 p) (* 4 (/ 1 p))) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
8.068 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0
8.068 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.068 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.068 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.068 * [taylor]: Taking taylor expansion of 4 in x
8.068 * [backup-simplify]: Simplify 4 into 4
8.068 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.068 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.068 * [taylor]: Taking taylor expansion of p in x
8.068 * [backup-simplify]: Simplify p into p
8.068 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.068 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.068 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.068 * [taylor]: Taking taylor expansion of x in x
8.068 * [backup-simplify]: Simplify 0 into 0
8.068 * [backup-simplify]: Simplify 1 into 1
8.069 * [backup-simplify]: Simplify (* 1 1) into 1
8.069 * [backup-simplify]: Simplify (/ 1 1) into 1
8.069 * [backup-simplify]: Simplify (+ 0 1) into 1
8.069 * [backup-simplify]: Simplify (sqrt 1) into 1
8.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.070 * [backup-simplify]: Simplify (+ 0 0) into 0
8.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.071 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.071 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.071 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.071 * [taylor]: Taking taylor expansion of 4 in p
8.071 * [backup-simplify]: Simplify 4 into 4
8.071 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.071 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.071 * [taylor]: Taking taylor expansion of p in p
8.071 * [backup-simplify]: Simplify 0 into 0
8.071 * [backup-simplify]: Simplify 1 into 1
8.071 * [backup-simplify]: Simplify (* 1 1) into 1
8.071 * [backup-simplify]: Simplify (/ 1 1) into 1
8.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.072 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.072 * [taylor]: Taking taylor expansion of x in p
8.072 * [backup-simplify]: Simplify x into x
8.072 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.072 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.072 * [backup-simplify]: Simplify (* 4 1) into 4
8.072 * [backup-simplify]: Simplify (+ 4 0) into 4
8.072 * [backup-simplify]: Simplify (sqrt 4) into 2
8.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.074 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.074 * [backup-simplify]: Simplify (+ 0 0) into 0
8.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
8.074 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.074 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.074 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.074 * [taylor]: Taking taylor expansion of 4 in p
8.074 * [backup-simplify]: Simplify 4 into 4
8.074 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.074 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.074 * [taylor]: Taking taylor expansion of p in p
8.075 * [backup-simplify]: Simplify 0 into 0
8.075 * [backup-simplify]: Simplify 1 into 1
8.075 * [backup-simplify]: Simplify (* 1 1) into 1
8.075 * [backup-simplify]: Simplify (/ 1 1) into 1
8.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.075 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.075 * [taylor]: Taking taylor expansion of x in p
8.075 * [backup-simplify]: Simplify x into x
8.075 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.075 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.075 * [backup-simplify]: Simplify (* 4 1) into 4
8.076 * [backup-simplify]: Simplify (+ 4 0) into 4
8.076 * [backup-simplify]: Simplify (sqrt 4) into 2
8.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.077 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.077 * [backup-simplify]: Simplify (+ 0 0) into 0
8.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
8.078 * [taylor]: Taking taylor expansion of 2 in x
8.078 * [backup-simplify]: Simplify 2 into 2
8.078 * [taylor]: Taking taylor expansion of 0 in x
8.078 * [backup-simplify]: Simplify 0 into 0
8.078 * [backup-simplify]: Simplify 2 into 2
8.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.080 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
8.080 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
8.080 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2))
8.081 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x
8.081 * [taylor]: Taking taylor expansion of 1/4 in x
8.081 * [backup-simplify]: Simplify 1/4 into 1/4
8.081 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.081 * [taylor]: Taking taylor expansion of x in x
8.081 * [backup-simplify]: Simplify 0 into 0
8.081 * [backup-simplify]: Simplify 1 into 1
8.081 * [backup-simplify]: Simplify (* 1 1) into 1
8.081 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
8.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
8.082 * [backup-simplify]: Simplify 0 into 0
8.082 * [backup-simplify]: Simplify 0 into 0
8.082 * [backup-simplify]: Simplify 0 into 0
8.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.084 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.084 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.084 * [backup-simplify]: Simplify (+ 0 0) into 0
8.085 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0
8.085 * [taylor]: Taking taylor expansion of 0 in x
8.085 * [backup-simplify]: Simplify 0 into 0
8.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.086 * [backup-simplify]: Simplify 0 into 0
8.087 * [backup-simplify]: Simplify 0 into 0
8.087 * [backup-simplify]: Simplify 0 into 0
8.087 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 p)))) into (* 2 p)
8.087 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- p)) (* 4 (/ 1 (- p)))) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
8.087 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0
8.087 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.087 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.087 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.087 * [taylor]: Taking taylor expansion of 4 in x
8.087 * [backup-simplify]: Simplify 4 into 4
8.087 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.087 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.087 * [taylor]: Taking taylor expansion of p in x
8.087 * [backup-simplify]: Simplify p into p
8.087 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.087 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.087 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.087 * [taylor]: Taking taylor expansion of x in x
8.087 * [backup-simplify]: Simplify 0 into 0
8.087 * [backup-simplify]: Simplify 1 into 1
8.088 * [backup-simplify]: Simplify (* 1 1) into 1
8.088 * [backup-simplify]: Simplify (/ 1 1) into 1
8.089 * [backup-simplify]: Simplify (+ 0 1) into 1
8.089 * [backup-simplify]: Simplify (sqrt 1) into 1
8.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.091 * [backup-simplify]: Simplify (+ 0 0) into 0
8.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.091 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.091 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.091 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.091 * [taylor]: Taking taylor expansion of 4 in p
8.091 * [backup-simplify]: Simplify 4 into 4
8.091 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.092 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.092 * [taylor]: Taking taylor expansion of p in p
8.092 * [backup-simplify]: Simplify 0 into 0
8.092 * [backup-simplify]: Simplify 1 into 1
8.092 * [backup-simplify]: Simplify (* 1 1) into 1
8.092 * [backup-simplify]: Simplify (/ 1 1) into 1
8.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.092 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.092 * [taylor]: Taking taylor expansion of x in p
8.092 * [backup-simplify]: Simplify x into x
8.092 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.093 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.093 * [backup-simplify]: Simplify (* 4 1) into 4
8.093 * [backup-simplify]: Simplify (+ 4 0) into 4
8.094 * [backup-simplify]: Simplify (sqrt 4) into 2
8.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.096 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.096 * [backup-simplify]: Simplify (+ 0 0) into 0
8.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
8.097 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.097 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.097 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.097 * [taylor]: Taking taylor expansion of 4 in p
8.097 * [backup-simplify]: Simplify 4 into 4
8.097 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.097 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.097 * [taylor]: Taking taylor expansion of p in p
8.097 * [backup-simplify]: Simplify 0 into 0
8.097 * [backup-simplify]: Simplify 1 into 1
8.097 * [backup-simplify]: Simplify (* 1 1) into 1
8.098 * [backup-simplify]: Simplify (/ 1 1) into 1
8.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.098 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.098 * [taylor]: Taking taylor expansion of x in p
8.098 * [backup-simplify]: Simplify x into x
8.098 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.098 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.098 * [backup-simplify]: Simplify (* 4 1) into 4
8.099 * [backup-simplify]: Simplify (+ 4 0) into 4
8.099 * [backup-simplify]: Simplify (sqrt 4) into 2
8.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.101 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.101 * [backup-simplify]: Simplify (+ 0 0) into 0
8.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
8.102 * [taylor]: Taking taylor expansion of 2 in x
8.102 * [backup-simplify]: Simplify 2 into 2
8.102 * [taylor]: Taking taylor expansion of 0 in x
8.102 * [backup-simplify]: Simplify 0 into 0
8.102 * [backup-simplify]: Simplify 2 into 2
8.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.105 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
8.105 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
8.106 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2))
8.106 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x
8.106 * [taylor]: Taking taylor expansion of 1/4 in x
8.106 * [backup-simplify]: Simplify 1/4 into 1/4
8.106 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.106 * [taylor]: Taking taylor expansion of x in x
8.106 * [backup-simplify]: Simplify 0 into 0
8.106 * [backup-simplify]: Simplify 1 into 1
8.107 * [backup-simplify]: Simplify (* 1 1) into 1
8.107 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
8.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
8.108 * [backup-simplify]: Simplify 0 into 0
8.108 * [backup-simplify]: Simplify 0 into 0
8.108 * [backup-simplify]: Simplify 0 into 0
8.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.111 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.111 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.112 * [backup-simplify]: Simplify (+ 0 0) into 0
8.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0
8.112 * [taylor]: Taking taylor expansion of 0 in x
8.112 * [backup-simplify]: Simplify 0 into 0
8.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.114 * [backup-simplify]: Simplify 0 into 0
8.114 * [backup-simplify]: Simplify 0 into 0
8.114 * [backup-simplify]: Simplify 0 into 0
8.114 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- p))))) into (* -2 p)
8.114 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 2 2 1)
8.114 * [backup-simplify]: Simplify (sqrt (+ (* p (* 4 p)) (* x x))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
8.114 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (p x) around 0
8.114 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
8.114 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
8.114 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.114 * [taylor]: Taking taylor expansion of x in x
8.114 * [backup-simplify]: Simplify 0 into 0
8.114 * [backup-simplify]: Simplify 1 into 1
8.114 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
8.114 * [taylor]: Taking taylor expansion of 4 in x
8.114 * [backup-simplify]: Simplify 4 into 4
8.114 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.114 * [taylor]: Taking taylor expansion of p in x
8.114 * [backup-simplify]: Simplify p into p
8.114 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.114 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
8.114 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
8.114 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
8.114 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
8.115 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
8.115 * [backup-simplify]: Simplify (+ 0 0) into 0
8.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
8.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
8.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
8.115 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.115 * [taylor]: Taking taylor expansion of x in p
8.115 * [backup-simplify]: Simplify x into x
8.115 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
8.115 * [taylor]: Taking taylor expansion of 4 in p
8.115 * [backup-simplify]: Simplify 4 into 4
8.115 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.115 * [taylor]: Taking taylor expansion of p in p
8.115 * [backup-simplify]: Simplify 0 into 0
8.115 * [backup-simplify]: Simplify 1 into 1
8.115 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.115 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.115 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
8.115 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.116 * [backup-simplify]: Simplify (+ 0 0) into 0
8.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
8.116 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
8.116 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
8.116 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.116 * [taylor]: Taking taylor expansion of x in p
8.116 * [backup-simplify]: Simplify x into x
8.116 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
8.116 * [taylor]: Taking taylor expansion of 4 in p
8.116 * [backup-simplify]: Simplify 4 into 4
8.116 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.116 * [taylor]: Taking taylor expansion of p in p
8.116 * [backup-simplify]: Simplify 0 into 0
8.116 * [backup-simplify]: Simplify 1 into 1
8.116 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.116 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.116 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
8.116 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.116 * [backup-simplify]: Simplify (+ 0 0) into 0
8.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
8.117 * [taylor]: Taking taylor expansion of x in x
8.117 * [backup-simplify]: Simplify 0 into 0
8.117 * [backup-simplify]: Simplify 1 into 1
8.117 * [backup-simplify]: Simplify 0 into 0
8.117 * [taylor]: Taking taylor expansion of 0 in x
8.117 * [backup-simplify]: Simplify 0 into 0
8.117 * [backup-simplify]: Simplify 0 into 0
8.117 * [backup-simplify]: Simplify 1 into 1
8.117 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
8.117 * [backup-simplify]: Simplify (* 1 1) into 1
8.118 * [backup-simplify]: Simplify (* 4 1) into 4
8.118 * [backup-simplify]: Simplify (+ 0 4) into 4
8.119 * [backup-simplify]: Simplify (/ (- 4 (pow 0 2) (+)) (* 2 x)) into (/ 2 x)
8.119 * [taylor]: Taking taylor expansion of (/ 2 x) in x
8.119 * [taylor]: Taking taylor expansion of 2 in x
8.119 * [backup-simplify]: Simplify 2 into 2
8.119 * [taylor]: Taking taylor expansion of x in x
8.119 * [backup-simplify]: Simplify 0 into 0
8.119 * [backup-simplify]: Simplify 1 into 1
8.119 * [backup-simplify]: Simplify (/ 2 1) into 2
8.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
8.120 * [backup-simplify]: Simplify 0 into 0
8.120 * [backup-simplify]: Simplify 0 into 0
8.120 * [backup-simplify]: Simplify 0 into 0
8.120 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
8.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.121 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.121 * [backup-simplify]: Simplify (+ 0 0) into 0
8.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 x))))) (* 2 x)) into 0
8.121 * [taylor]: Taking taylor expansion of 0 in x
8.121 * [backup-simplify]: Simplify 0 into 0
8.121 * [backup-simplify]: Simplify 0 into 0
8.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.122 * [backup-simplify]: Simplify 0 into 0
8.122 * [backup-simplify]: Simplify 0 into 0
8.122 * [backup-simplify]: Simplify (* 1 (* x 1)) into x
8.122 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 p) (* 4 (/ 1 p))) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
8.122 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0
8.122 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.122 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.122 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.122 * [taylor]: Taking taylor expansion of 4 in x
8.122 * [backup-simplify]: Simplify 4 into 4
8.122 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.122 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.123 * [taylor]: Taking taylor expansion of p in x
8.123 * [backup-simplify]: Simplify p into p
8.123 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.123 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.123 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.123 * [taylor]: Taking taylor expansion of x in x
8.123 * [backup-simplify]: Simplify 0 into 0
8.123 * [backup-simplify]: Simplify 1 into 1
8.123 * [backup-simplify]: Simplify (* 1 1) into 1
8.123 * [backup-simplify]: Simplify (/ 1 1) into 1
8.123 * [backup-simplify]: Simplify (+ 0 1) into 1
8.124 * [backup-simplify]: Simplify (sqrt 1) into 1
8.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.125 * [backup-simplify]: Simplify (+ 0 0) into 0
8.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.125 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.125 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.125 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.125 * [taylor]: Taking taylor expansion of 4 in p
8.125 * [backup-simplify]: Simplify 4 into 4
8.125 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.125 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.126 * [taylor]: Taking taylor expansion of p in p
8.126 * [backup-simplify]: Simplify 0 into 0
8.126 * [backup-simplify]: Simplify 1 into 1
8.126 * [backup-simplify]: Simplify (* 1 1) into 1
8.126 * [backup-simplify]: Simplify (/ 1 1) into 1
8.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.126 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.126 * [taylor]: Taking taylor expansion of x in p
8.126 * [backup-simplify]: Simplify x into x
8.126 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.127 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.127 * [backup-simplify]: Simplify (* 4 1) into 4
8.127 * [backup-simplify]: Simplify (+ 4 0) into 4
8.127 * [backup-simplify]: Simplify (sqrt 4) into 2
8.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.129 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.129 * [backup-simplify]: Simplify (+ 0 0) into 0
8.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
8.129 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.129 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.130 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.130 * [taylor]: Taking taylor expansion of 4 in p
8.130 * [backup-simplify]: Simplify 4 into 4
8.130 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.130 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.130 * [taylor]: Taking taylor expansion of p in p
8.130 * [backup-simplify]: Simplify 0 into 0
8.130 * [backup-simplify]: Simplify 1 into 1
8.130 * [backup-simplify]: Simplify (* 1 1) into 1
8.130 * [backup-simplify]: Simplify (/ 1 1) into 1
8.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.130 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.130 * [taylor]: Taking taylor expansion of x in p
8.130 * [backup-simplify]: Simplify x into x
8.130 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.130 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.131 * [backup-simplify]: Simplify (* 4 1) into 4
8.131 * [backup-simplify]: Simplify (+ 4 0) into 4
8.131 * [backup-simplify]: Simplify (sqrt 4) into 2
8.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.132 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.133 * [backup-simplify]: Simplify (+ 0 0) into 0
8.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
8.133 * [taylor]: Taking taylor expansion of 2 in x
8.133 * [backup-simplify]: Simplify 2 into 2
8.133 * [taylor]: Taking taylor expansion of 0 in x
8.133 * [backup-simplify]: Simplify 0 into 0
8.133 * [backup-simplify]: Simplify 2 into 2
8.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.135 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
8.135 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
8.136 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2))
8.136 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x
8.136 * [taylor]: Taking taylor expansion of 1/4 in x
8.136 * [backup-simplify]: Simplify 1/4 into 1/4
8.136 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.136 * [taylor]: Taking taylor expansion of x in x
8.136 * [backup-simplify]: Simplify 0 into 0
8.136 * [backup-simplify]: Simplify 1 into 1
8.136 * [backup-simplify]: Simplify (* 1 1) into 1
8.136 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
8.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
8.137 * [backup-simplify]: Simplify 0 into 0
8.137 * [backup-simplify]: Simplify 0 into 0
8.137 * [backup-simplify]: Simplify 0 into 0
8.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.139 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.139 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.139 * [backup-simplify]: Simplify (+ 0 0) into 0
8.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0
8.140 * [taylor]: Taking taylor expansion of 0 in x
8.140 * [backup-simplify]: Simplify 0 into 0
8.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.141 * [backup-simplify]: Simplify 0 into 0
8.141 * [backup-simplify]: Simplify 0 into 0
8.141 * [backup-simplify]: Simplify 0 into 0
8.141 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 p)))) into (* 2 p)
8.141 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- p)) (* 4 (/ 1 (- p)))) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
8.141 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0
8.141 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.141 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.142 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.142 * [taylor]: Taking taylor expansion of 4 in x
8.142 * [backup-simplify]: Simplify 4 into 4
8.142 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.142 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.142 * [taylor]: Taking taylor expansion of p in x
8.142 * [backup-simplify]: Simplify p into p
8.142 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.142 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.142 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.142 * [taylor]: Taking taylor expansion of x in x
8.142 * [backup-simplify]: Simplify 0 into 0
8.142 * [backup-simplify]: Simplify 1 into 1
8.142 * [backup-simplify]: Simplify (* 1 1) into 1
8.142 * [backup-simplify]: Simplify (/ 1 1) into 1
8.143 * [backup-simplify]: Simplify (+ 0 1) into 1
8.143 * [backup-simplify]: Simplify (sqrt 1) into 1
8.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.144 * [backup-simplify]: Simplify (+ 0 0) into 0
8.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.144 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.144 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.144 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.144 * [taylor]: Taking taylor expansion of 4 in p
8.144 * [backup-simplify]: Simplify 4 into 4
8.144 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.144 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.144 * [taylor]: Taking taylor expansion of p in p
8.144 * [backup-simplify]: Simplify 0 into 0
8.144 * [backup-simplify]: Simplify 1 into 1
8.145 * [backup-simplify]: Simplify (* 1 1) into 1
8.145 * [backup-simplify]: Simplify (/ 1 1) into 1
8.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.145 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.145 * [taylor]: Taking taylor expansion of x in p
8.145 * [backup-simplify]: Simplify x into x
8.145 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.145 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.145 * [backup-simplify]: Simplify (* 4 1) into 4
8.146 * [backup-simplify]: Simplify (+ 4 0) into 4
8.146 * [backup-simplify]: Simplify (sqrt 4) into 2
8.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.147 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.147 * [backup-simplify]: Simplify (+ 0 0) into 0
8.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
8.148 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.148 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.148 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.148 * [taylor]: Taking taylor expansion of 4 in p
8.148 * [backup-simplify]: Simplify 4 into 4
8.148 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.148 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.148 * [taylor]: Taking taylor expansion of p in p
8.148 * [backup-simplify]: Simplify 0 into 0
8.148 * [backup-simplify]: Simplify 1 into 1
8.148 * [backup-simplify]: Simplify (* 1 1) into 1
8.148 * [backup-simplify]: Simplify (/ 1 1) into 1
8.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.148 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.148 * [taylor]: Taking taylor expansion of x in p
8.149 * [backup-simplify]: Simplify x into x
8.149 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.149 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.149 * [backup-simplify]: Simplify (* 4 1) into 4
8.149 * [backup-simplify]: Simplify (+ 4 0) into 4
8.149 * [backup-simplify]: Simplify (sqrt 4) into 2
8.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.151 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.151 * [backup-simplify]: Simplify (+ 0 0) into 0
8.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
8.151 * [taylor]: Taking taylor expansion of 2 in x
8.151 * [backup-simplify]: Simplify 2 into 2
8.151 * [taylor]: Taking taylor expansion of 0 in x
8.151 * [backup-simplify]: Simplify 0 into 0
8.151 * [backup-simplify]: Simplify 2 into 2
8.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.153 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
8.154 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
8.155 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2))
8.155 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x
8.155 * [taylor]: Taking taylor expansion of 1/4 in x
8.155 * [backup-simplify]: Simplify 1/4 into 1/4
8.155 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.155 * [taylor]: Taking taylor expansion of x in x
8.155 * [backup-simplify]: Simplify 0 into 0
8.155 * [backup-simplify]: Simplify 1 into 1
8.155 * [backup-simplify]: Simplify (* 1 1) into 1
8.155 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
8.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
8.157 * [backup-simplify]: Simplify 0 into 0
8.157 * [backup-simplify]: Simplify 0 into 0
8.157 * [backup-simplify]: Simplify 0 into 0
8.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.162 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.162 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.163 * [backup-simplify]: Simplify (+ 0 0) into 0
8.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0
8.163 * [taylor]: Taking taylor expansion of 0 in x
8.164 * [backup-simplify]: Simplify 0 into 0
8.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.165 * [backup-simplify]: Simplify 0 into 0
8.165 * [backup-simplify]: Simplify 0 into 0
8.165 * [backup-simplify]: Simplify 0 into 0
8.166 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- p))))) into (* -2 p)
8.166 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2 2 1 1)
8.166 * [backup-simplify]: Simplify (sqrt (+ (* p (* 4 p)) (* x x))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
8.166 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (p x) around 0
8.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
8.166 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
8.166 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.166 * [taylor]: Taking taylor expansion of x in x
8.166 * [backup-simplify]: Simplify 0 into 0
8.166 * [backup-simplify]: Simplify 1 into 1
8.166 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
8.166 * [taylor]: Taking taylor expansion of 4 in x
8.166 * [backup-simplify]: Simplify 4 into 4
8.166 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.166 * [taylor]: Taking taylor expansion of p in x
8.166 * [backup-simplify]: Simplify p into p
8.166 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.166 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
8.166 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
8.167 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
8.167 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
8.167 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
8.167 * [backup-simplify]: Simplify (+ 0 0) into 0
8.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
8.168 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
8.168 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
8.168 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.168 * [taylor]: Taking taylor expansion of x in p
8.168 * [backup-simplify]: Simplify x into x
8.168 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
8.168 * [taylor]: Taking taylor expansion of 4 in p
8.168 * [backup-simplify]: Simplify 4 into 4
8.168 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.168 * [taylor]: Taking taylor expansion of p in p
8.168 * [backup-simplify]: Simplify 0 into 0
8.168 * [backup-simplify]: Simplify 1 into 1
8.168 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.168 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.168 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
8.168 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.169 * [backup-simplify]: Simplify (+ 0 0) into 0
8.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
8.169 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
8.169 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
8.169 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.169 * [taylor]: Taking taylor expansion of x in p
8.169 * [backup-simplify]: Simplify x into x
8.169 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
8.169 * [taylor]: Taking taylor expansion of 4 in p
8.169 * [backup-simplify]: Simplify 4 into 4
8.169 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.169 * [taylor]: Taking taylor expansion of p in p
8.169 * [backup-simplify]: Simplify 0 into 0
8.169 * [backup-simplify]: Simplify 1 into 1
8.169 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.169 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.169 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
8.169 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.170 * [backup-simplify]: Simplify (+ 0 0) into 0
8.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
8.170 * [taylor]: Taking taylor expansion of x in x
8.170 * [backup-simplify]: Simplify 0 into 0
8.170 * [backup-simplify]: Simplify 1 into 1
8.170 * [backup-simplify]: Simplify 0 into 0
8.170 * [taylor]: Taking taylor expansion of 0 in x
8.170 * [backup-simplify]: Simplify 0 into 0
8.170 * [backup-simplify]: Simplify 0 into 0
8.170 * [backup-simplify]: Simplify 1 into 1
8.171 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
8.171 * [backup-simplify]: Simplify (* 1 1) into 1
8.171 * [backup-simplify]: Simplify (* 4 1) into 4
8.172 * [backup-simplify]: Simplify (+ 0 4) into 4
8.172 * [backup-simplify]: Simplify (/ (- 4 (pow 0 2) (+)) (* 2 x)) into (/ 2 x)
8.172 * [taylor]: Taking taylor expansion of (/ 2 x) in x
8.172 * [taylor]: Taking taylor expansion of 2 in x
8.173 * [backup-simplify]: Simplify 2 into 2
8.173 * [taylor]: Taking taylor expansion of x in x
8.173 * [backup-simplify]: Simplify 0 into 0
8.173 * [backup-simplify]: Simplify 1 into 1
8.173 * [backup-simplify]: Simplify (/ 2 1) into 2
8.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
8.174 * [backup-simplify]: Simplify 0 into 0
8.174 * [backup-simplify]: Simplify 0 into 0
8.174 * [backup-simplify]: Simplify 0 into 0
8.175 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
8.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.176 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.176 * [backup-simplify]: Simplify (+ 0 0) into 0
8.176 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 x))))) (* 2 x)) into 0
8.176 * [taylor]: Taking taylor expansion of 0 in x
8.176 * [backup-simplify]: Simplify 0 into 0
8.176 * [backup-simplify]: Simplify 0 into 0
8.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.177 * [backup-simplify]: Simplify 0 into 0
8.177 * [backup-simplify]: Simplify 0 into 0
8.177 * [backup-simplify]: Simplify (* 1 (* x 1)) into x
8.178 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 p) (* 4 (/ 1 p))) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
8.178 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0
8.178 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.178 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.178 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.178 * [taylor]: Taking taylor expansion of 4 in x
8.178 * [backup-simplify]: Simplify 4 into 4
8.178 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.178 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.178 * [taylor]: Taking taylor expansion of p in x
8.178 * [backup-simplify]: Simplify p into p
8.178 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.178 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.178 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.178 * [taylor]: Taking taylor expansion of x in x
8.178 * [backup-simplify]: Simplify 0 into 0
8.178 * [backup-simplify]: Simplify 1 into 1
8.179 * [backup-simplify]: Simplify (* 1 1) into 1
8.179 * [backup-simplify]: Simplify (/ 1 1) into 1
8.179 * [backup-simplify]: Simplify (+ 0 1) into 1
8.180 * [backup-simplify]: Simplify (sqrt 1) into 1
8.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.181 * [backup-simplify]: Simplify (+ 0 0) into 0
8.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.182 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.182 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.182 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.182 * [taylor]: Taking taylor expansion of 4 in p
8.182 * [backup-simplify]: Simplify 4 into 4
8.182 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.182 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.182 * [taylor]: Taking taylor expansion of p in p
8.182 * [backup-simplify]: Simplify 0 into 0
8.182 * [backup-simplify]: Simplify 1 into 1
8.182 * [backup-simplify]: Simplify (* 1 1) into 1
8.183 * [backup-simplify]: Simplify (/ 1 1) into 1
8.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.183 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.183 * [taylor]: Taking taylor expansion of x in p
8.183 * [backup-simplify]: Simplify x into x
8.183 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.183 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.183 * [backup-simplify]: Simplify (* 4 1) into 4
8.184 * [backup-simplify]: Simplify (+ 4 0) into 4
8.184 * [backup-simplify]: Simplify (sqrt 4) into 2
8.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.186 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.186 * [backup-simplify]: Simplify (+ 0 0) into 0
8.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
8.187 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.187 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.187 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.187 * [taylor]: Taking taylor expansion of 4 in p
8.187 * [backup-simplify]: Simplify 4 into 4
8.187 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.187 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.187 * [taylor]: Taking taylor expansion of p in p
8.187 * [backup-simplify]: Simplify 0 into 0
8.187 * [backup-simplify]: Simplify 1 into 1
8.188 * [backup-simplify]: Simplify (* 1 1) into 1
8.188 * [backup-simplify]: Simplify (/ 1 1) into 1
8.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.188 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.188 * [taylor]: Taking taylor expansion of x in p
8.188 * [backup-simplify]: Simplify x into x
8.188 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.188 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.189 * [backup-simplify]: Simplify (* 4 1) into 4
8.189 * [backup-simplify]: Simplify (+ 4 0) into 4
8.189 * [backup-simplify]: Simplify (sqrt 4) into 2
8.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.191 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.192 * [backup-simplify]: Simplify (+ 0 0) into 0
8.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
8.193 * [taylor]: Taking taylor expansion of 2 in x
8.193 * [backup-simplify]: Simplify 2 into 2
8.193 * [taylor]: Taking taylor expansion of 0 in x
8.193 * [backup-simplify]: Simplify 0 into 0
8.193 * [backup-simplify]: Simplify 2 into 2
8.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.195 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
8.195 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
8.196 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2))
8.196 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x
8.196 * [taylor]: Taking taylor expansion of 1/4 in x
8.196 * [backup-simplify]: Simplify 1/4 into 1/4
8.196 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.196 * [taylor]: Taking taylor expansion of x in x
8.197 * [backup-simplify]: Simplify 0 into 0
8.197 * [backup-simplify]: Simplify 1 into 1
8.197 * [backup-simplify]: Simplify (* 1 1) into 1
8.197 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
8.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
8.199 * [backup-simplify]: Simplify 0 into 0
8.199 * [backup-simplify]: Simplify 0 into 0
8.199 * [backup-simplify]: Simplify 0 into 0
8.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.202 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.202 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.202 * [backup-simplify]: Simplify (+ 0 0) into 0
8.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0
8.203 * [taylor]: Taking taylor expansion of 0 in x
8.203 * [backup-simplify]: Simplify 0 into 0
8.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.205 * [backup-simplify]: Simplify 0 into 0
8.205 * [backup-simplify]: Simplify 0 into 0
8.205 * [backup-simplify]: Simplify 0 into 0
8.205 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 p)))) into (* 2 p)
8.206 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- p)) (* 4 (/ 1 (- p)))) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
8.206 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0
8.206 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.206 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.206 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.206 * [taylor]: Taking taylor expansion of 4 in x
8.206 * [backup-simplify]: Simplify 4 into 4
8.206 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.206 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.206 * [taylor]: Taking taylor expansion of p in x
8.206 * [backup-simplify]: Simplify p into p
8.206 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.206 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.206 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.206 * [taylor]: Taking taylor expansion of x in x
8.206 * [backup-simplify]: Simplify 0 into 0
8.206 * [backup-simplify]: Simplify 1 into 1
8.207 * [backup-simplify]: Simplify (* 1 1) into 1
8.207 * [backup-simplify]: Simplify (/ 1 1) into 1
8.207 * [backup-simplify]: Simplify (+ 0 1) into 1
8.208 * [backup-simplify]: Simplify (sqrt 1) into 1
8.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.210 * [backup-simplify]: Simplify (+ 0 0) into 0
8.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.210 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.210 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.210 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.211 * [taylor]: Taking taylor expansion of 4 in p
8.211 * [backup-simplify]: Simplify 4 into 4
8.211 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.211 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.211 * [taylor]: Taking taylor expansion of p in p
8.211 * [backup-simplify]: Simplify 0 into 0
8.211 * [backup-simplify]: Simplify 1 into 1
8.211 * [backup-simplify]: Simplify (* 1 1) into 1
8.211 * [backup-simplify]: Simplify (/ 1 1) into 1
8.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.212 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.212 * [taylor]: Taking taylor expansion of x in p
8.212 * [backup-simplify]: Simplify x into x
8.212 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.212 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.212 * [backup-simplify]: Simplify (* 4 1) into 4
8.213 * [backup-simplify]: Simplify (+ 4 0) into 4
8.213 * [backup-simplify]: Simplify (sqrt 4) into 2
8.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.215 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.216 * [backup-simplify]: Simplify (+ 0 0) into 0
8.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
8.217 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.217 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.217 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.217 * [taylor]: Taking taylor expansion of 4 in p
8.217 * [backup-simplify]: Simplify 4 into 4
8.217 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.217 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.217 * [taylor]: Taking taylor expansion of p in p
8.217 * [backup-simplify]: Simplify 0 into 0
8.217 * [backup-simplify]: Simplify 1 into 1
8.217 * [backup-simplify]: Simplify (* 1 1) into 1
8.218 * [backup-simplify]: Simplify (/ 1 1) into 1
8.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.218 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.218 * [taylor]: Taking taylor expansion of x in p
8.218 * [backup-simplify]: Simplify x into x
8.218 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.218 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.219 * [backup-simplify]: Simplify (* 4 1) into 4
8.219 * [backup-simplify]: Simplify (+ 4 0) into 4
8.220 * [backup-simplify]: Simplify (sqrt 4) into 2
8.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.221 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.222 * [backup-simplify]: Simplify (+ 0 0) into 0
8.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
8.222 * [taylor]: Taking taylor expansion of 2 in x
8.222 * [backup-simplify]: Simplify 2 into 2
8.222 * [taylor]: Taking taylor expansion of 0 in x
8.222 * [backup-simplify]: Simplify 0 into 0
8.222 * [backup-simplify]: Simplify 2 into 2
8.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.224 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
8.224 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
8.225 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2))
8.225 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x
8.225 * [taylor]: Taking taylor expansion of 1/4 in x
8.225 * [backup-simplify]: Simplify 1/4 into 1/4
8.225 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.225 * [taylor]: Taking taylor expansion of x in x
8.225 * [backup-simplify]: Simplify 0 into 0
8.225 * [backup-simplify]: Simplify 1 into 1
8.225 * [backup-simplify]: Simplify (* 1 1) into 1
8.225 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
8.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
8.226 * [backup-simplify]: Simplify 0 into 0
8.226 * [backup-simplify]: Simplify 0 into 0
8.226 * [backup-simplify]: Simplify 0 into 0
8.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.228 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.228 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.228 * [backup-simplify]: Simplify (+ 0 0) into 0
8.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0
8.229 * [taylor]: Taking taylor expansion of 0 in x
8.229 * [backup-simplify]: Simplify 0 into 0
8.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.230 * [backup-simplify]: Simplify 0 into 0
8.230 * [backup-simplify]: Simplify 0 into 0
8.230 * [backup-simplify]: Simplify 0 into 0
8.230 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- p))))) into (* -2 p)
8.230 * * * [progress]: simplifying candidates
8.230 * * * * [progress]: [ 1 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (pow (+ (* p (* 4 p)) (* x x)) 1/2)))))))))>
8.230 * * * * [progress]: [ 2 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (pow (sqrt (+ (* p (* 4 p)) (* x x))) 1)))))))))>
8.230 * * * * [progress]: [ 3 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (exp (log (sqrt (+ (* p (* 4 p)) (* x x)))))))))))))>
8.231 * * * * [progress]: [ 4 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (log (exp (sqrt (+ (* p (* 4 p)) (* x x)))))))))))))>
8.231 * * * * [progress]: [ 5 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (* (* (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))))))))))))>
8.231 * * * * [progress]: [ 6 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (cbrt (* (* (sqrt (+ (* p (* 4 p)) (* x x))) (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (+ (* p (* 4 p)) (* x x)))))))))))))>
8.231 * * * * [progress]: [ 7 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (* (sqrt (* (cbrt (+ (* p (* 4 p)) (* x x))) (cbrt (+ (* p (* 4 p)) (* x x))))) (sqrt (cbrt (+ (* p (* 4 p)) (* x x)))))))))))))>
8.231 * * * * [progress]: [ 8 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))))))))))))>
8.231 * * * * [progress]: [ 9 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (* (sqrt 1) (sqrt (+ (* p (* 4 p)) (* x x))))))))))))>
8.231 * * * * [progress]: [ 10 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (/ (sqrt (+ (pow (* p (* 4 p)) 3) (pow (* x x) 3))) (sqrt (+ (* (* p (* 4 p)) (* p (* 4 p))) (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* x x))))))))))))))>
8.231 * * * * [progress]: [ 11 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (/ (sqrt (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* x x)))) (sqrt (- (* p (* 4 p)) (* x x))))))))))))>
8.231 * * * * [progress]: [ 12 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (pow (+ (* p (* 4 p)) (* x x)) (/ 1 2))))))))))>
8.231 * * * * [progress]: [ 13 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))))))))))))>
8.231 * * * * [progress]: [ 14 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (fabs (sqrt (+ (* p (* 4 p)) (* x x))))))))))))>
8.231 * * * * [progress]: [ 15 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (* 1 (sqrt (+ (* p (* 4 p)) (* x x))))))))))))>
8.231 * * * * [progress]: [ 16 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (pow (+ (* p (* 4 p)) (* x x)) 1/2)) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.231 * * * * [progress]: [ 17 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (pow (sqrt (+ (* p (* 4 p)) (* x x))) 1)) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.231 * * * * [progress]: [ 18 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (exp (log (sqrt (+ (* p (* 4 p)) (* x x)))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.231 * * * * [progress]: [ 19 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (log (exp (sqrt (+ (* p (* 4 p)) (* x x)))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.231 * * * * [progress]: [ 20 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (* (* (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.232 * * * * [progress]: [ 21 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (cbrt (* (* (sqrt (+ (* p (* 4 p)) (* x x))) (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (+ (* p (* 4 p)) (* x x)))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.232 * * * * [progress]: [ 22 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (* (sqrt (* (cbrt (+ (* p (* 4 p)) (* x x))) (cbrt (+ (* p (* 4 p)) (* x x))))) (sqrt (cbrt (+ (* p (* 4 p)) (* x x)))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.232 * * * * [progress]: [ 23 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.232 * * * * [progress]: [ 24 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (* (sqrt 1) (sqrt (+ (* p (* 4 p)) (* x x))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.232 * * * * [progress]: [ 25 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (/ (sqrt (+ (pow (* p (* 4 p)) 3) (pow (* x x) 3))) (sqrt (+ (* (* p (* 4 p)) (* p (* 4 p))) (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.232 * * * * [progress]: [ 26 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (/ (sqrt (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* x x)))) (sqrt (- (* p (* 4 p)) (* x x))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.232 * * * * [progress]: [ 27 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (pow (+ (* p (* 4 p)) (* x x)) (/ 1 2))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.232 * * * * [progress]: [ 28 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.232 * * * * [progress]: [ 29 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (fabs (sqrt (+ (* p (* 4 p)) (* x x))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.232 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (* 1 (sqrt (+ (* p (* 4 p)) (* x x))))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.232 * * * * [progress]: [ 31 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (pow (+ (* p (* 4 p)) (* x x)) 1/2))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.232 * * * * [progress]: [ 32 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (pow (sqrt (+ (* p (* 4 p)) (* x x))) 1))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.232 * * * * [progress]: [ 33 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (exp (log (sqrt (+ (* p (* 4 p)) (* x x))))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.232 * * * * [progress]: [ 34 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (log (exp (sqrt (+ (* p (* 4 p)) (* x x))))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.232 * * * * [progress]: [ 35 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (* (* (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.232 * * * * [progress]: [ 36 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (cbrt (* (* (sqrt (+ (* p (* 4 p)) (* x x))) (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (+ (* p (* 4 p)) (* x x))))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.232 * * * * [progress]: [ 37 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (* (sqrt (* (cbrt (+ (* p (* 4 p)) (* x x))) (cbrt (+ (* p (* 4 p)) (* x x))))) (sqrt (cbrt (+ (* p (* 4 p)) (* x x))))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.232 * * * * [progress]: [ 38 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.233 * * * * [progress]: [ 39 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (* (sqrt 1) (sqrt (+ (* p (* 4 p)) (* x x)))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.233 * * * * [progress]: [ 40 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (/ (sqrt (+ (pow (* p (* 4 p)) 3) (pow (* x x) 3))) (sqrt (+ (* (* p (* 4 p)) (* p (* 4 p))) (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* x x)))))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.233 * * * * [progress]: [ 41 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (/ (sqrt (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* x x)))) (sqrt (- (* p (* 4 p)) (* x x)))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.233 * * * * [progress]: [ 42 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (pow (+ (* p (* 4 p)) (* x x)) (/ 1 2)))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.233 * * * * [progress]: [ 43 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.233 * * * * [progress]: [ 44 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (fabs (sqrt (+ (* p (* 4 p)) (* x x)))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.233 * * * * [progress]: [ 45 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (* 1 (sqrt (+ (* p (* 4 p)) (* x x)))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.233 * * * * [progress]: [ 46 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (pow (+ (* p (* 4 p)) (* x x)) 1/2)) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.233 * * * * [progress]: [ 47 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (pow (sqrt (+ (* p (* 4 p)) (* x x))) 1)) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.233 * * * * [progress]: [ 48 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (exp (log (sqrt (+ (* p (* 4 p)) (* x x)))))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.233 * * * * [progress]: [ 49 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (log (exp (sqrt (+ (* p (* 4 p)) (* x x)))))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.233 * * * * [progress]: [ 50 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (* (* (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.233 * * * * [progress]: [ 51 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (cbrt (* (* (sqrt (+ (* p (* 4 p)) (* x x))) (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (+ (* p (* 4 p)) (* x x)))))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.233 * * * * [progress]: [ 52 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (* (sqrt (* (cbrt (+ (* p (* 4 p)) (* x x))) (cbrt (+ (* p (* 4 p)) (* x x))))) (sqrt (cbrt (+ (* p (* 4 p)) (* x x)))))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.233 * * * * [progress]: [ 53 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.233 * * * * [progress]: [ 54 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (* (sqrt 1) (sqrt (+ (* p (* 4 p)) (* x x))))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.233 * * * * [progress]: [ 55 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (/ (sqrt (+ (pow (* p (* 4 p)) 3) (pow (* x x) 3))) (sqrt (+ (* (* p (* 4 p)) (* p (* 4 p))) (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* x x))))))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.234 * * * * [progress]: [ 56 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (/ (sqrt (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* x x)))) (sqrt (- (* p (* 4 p)) (* x x))))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.234 * * * * [progress]: [ 57 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (pow (+ (* p (* 4 p)) (* x x)) (/ 1 2))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.234 * * * * [progress]: [ 58 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.234 * * * * [progress]: [ 59 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (fabs (sqrt (+ (* p (* 4 p)) (* x x))))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.234 * * * * [progress]: [ 60 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (* 1 (sqrt (+ (* p (* 4 p)) (* x x))))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.234 * * * * [progress]: [ 61 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x x))))))))>
8.234 * * * * [progress]: [ 62 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (* 2 p)))))))))>
8.234 * * * * [progress]: [ 63 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (* -2 p)))))))))>
8.234 * * * * [progress]: [ 64 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x x) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.234 * * * * [progress]: [ 65 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (* 2 p)) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.234 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (* -2 p)) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.234 * * * * [progress]: [ 67 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt x)))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.234 * * * * [progress]: [ 68 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (* 2 p))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.234 * * * * [progress]: [ 69 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (* -2 p))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.234 * * * * [progress]: [ 70 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt x) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.234 * * * * [progress]: [ 71 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (* 2 p)) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.234 * * * * [progress]: [ 72 / 72 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (* -2 p)) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))>
8.235 * [simplify]: Simplifying:
  (log (sqrt (+ (* p (* 4 p)) (* x x))))
  (exp (sqrt (+ (* p (* 4 p)) (* x x))))
  (* (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))))
  (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (* (* (sqrt (+ (* p (* 4 p)) (* x x))) (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (* (cbrt (+ (* p (* 4 p)) (* x x))) (cbrt (+ (* p (* 4 p)) (* x x)))))
  (sqrt (cbrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt 1)
  (sqrt (+ (* p (* 4 p)) (* x x)))
  (sqrt (+ (pow (* p (* 4 p)) 3) (pow (* x x) 3)))
  (sqrt (+ (* (* p (* 4 p)) (* p (* 4 p))) (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* x x)))))
  (sqrt (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* x x))))
  (sqrt (- (* p (* 4 p)) (* x x)))
  (/ 1 2)
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (log (sqrt (+ (* p (* 4 p)) (* x x))))
  (exp (sqrt (+ (* p (* 4 p)) (* x x))))
  (* (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))))
  (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (* (* (sqrt (+ (* p (* 4 p)) (* x x))) (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (* (cbrt (+ (* p (* 4 p)) (* x x))) (cbrt (+ (* p (* 4 p)) (* x x)))))
  (sqrt (cbrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt 1)
  (sqrt (+ (* p (* 4 p)) (* x x)))
  (sqrt (+ (pow (* p (* 4 p)) 3) (pow (* x x) 3)))
  (sqrt (+ (* (* p (* 4 p)) (* p (* 4 p))) (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* x x)))))
  (sqrt (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* x x))))
  (sqrt (- (* p (* 4 p)) (* x x)))
  (/ 1 2)
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (log (sqrt (+ (* p (* 4 p)) (* x x))))
  (exp (sqrt (+ (* p (* 4 p)) (* x x))))
  (* (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))))
  (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (* (* (sqrt (+ (* p (* 4 p)) (* x x))) (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (* (cbrt (+ (* p (* 4 p)) (* x x))) (cbrt (+ (* p (* 4 p)) (* x x)))))
  (sqrt (cbrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt 1)
  (sqrt (+ (* p (* 4 p)) (* x x)))
  (sqrt (+ (pow (* p (* 4 p)) 3) (pow (* x x) 3)))
  (sqrt (+ (* (* p (* 4 p)) (* p (* 4 p))) (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* x x)))))
  (sqrt (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* x x))))
  (sqrt (- (* p (* 4 p)) (* x x)))
  (/ 1 2)
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (log (sqrt (+ (* p (* 4 p)) (* x x))))
  (exp (sqrt (+ (* p (* 4 p)) (* x x))))
  (* (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))))
  (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (* (* (sqrt (+ (* p (* 4 p)) (* x x))) (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (* (cbrt (+ (* p (* 4 p)) (* x x))) (cbrt (+ (* p (* 4 p)) (* x x)))))
  (sqrt (cbrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt 1)
  (sqrt (+ (* p (* 4 p)) (* x x)))
  (sqrt (+ (pow (* p (* 4 p)) 3) (pow (* x x) 3)))
  (sqrt (+ (* (* p (* 4 p)) (* p (* 4 p))) (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* x x)))))
  (sqrt (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* x x))))
  (sqrt (- (* p (* 4 p)) (* x x)))
  (/ 1 2)
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  x
  (* 2 p)
  (* -2 p)
  x
  (* 2 p)
  (* -2 p)
  x
  (* 2 p)
  (* -2 p)
  x
  (* 2 p)
  (* -2 p)
8.236 * * [simplify]: iteration 1: (41 enodes)
8.244 * * [simplify]: iteration 2: (93 enodes)
8.273 * * [simplify]: iteration 3: (237 enodes)
8.405 * * [simplify]: iteration 4: (582 enodes)
8.779 * * [simplify]: iteration 5: (1329 enodes)
9.889 * * [simplify]: Extracting #0: cost 18 inf + 0
9.889 * * [simplify]: Extracting #1: cost 29 inf + 3
9.889 * * [simplify]: Extracting #2: cost 64 inf + 49
9.890 * * [simplify]: Extracting #3: cost 267 inf + 427
9.895 * * [simplify]: Extracting #4: cost 319 inf + 15997
9.910 * * [simplify]: Extracting #5: cost 90 inf + 94727
9.936 * * [simplify]: Extracting #6: cost 12 inf + 131400
9.961 * * [simplify]: Extracting #7: cost 0 inf + 138195
9.985 * [simplify]: Simplified to:
  (log (sqrt (+ (* p (* p 4)) (* x x))))
  (exp (sqrt (+ (* p (* p 4)) (* x x))))
  (* (cbrt (sqrt (+ (* p (* p 4)) (* x x)))) (cbrt (sqrt (+ (* p (* p 4)) (* x x)))))
  (cbrt (sqrt (+ (* p (* p 4)) (* x x))))
  (* (+ (* p (* p 4)) (* x x)) (sqrt (+ (* p (* p 4)) (* x x))))
  (fabs (cbrt (+ (* p (* p 4)) (* x x))))
  (sqrt (cbrt (+ (* p (* p 4)) (* x x))))
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  1
  (sqrt (+ (* p (* p 4)) (* x x)))
  (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* p p) (* 64 (* (* p p) (* p p))))))
  (sqrt (- (* (* p (* p 4)) (* p (* p 4))) (* (- (* p (* p 4)) (* x x)) (* x x))))
  (sqrt (* (- (* p (* p 4)) (* x x)) (+ (* p (* p 4)) (* x x))))
  (sqrt (- (* p (* p 4)) (* x x)))
  1/2
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  (log (sqrt (+ (* p (* p 4)) (* x x))))
  (exp (sqrt (+ (* p (* p 4)) (* x x))))
  (* (cbrt (sqrt (+ (* p (* p 4)) (* x x)))) (cbrt (sqrt (+ (* p (* p 4)) (* x x)))))
  (cbrt (sqrt (+ (* p (* p 4)) (* x x))))
  (* (+ (* p (* p 4)) (* x x)) (sqrt (+ (* p (* p 4)) (* x x))))
  (fabs (cbrt (+ (* p (* p 4)) (* x x))))
  (sqrt (cbrt (+ (* p (* p 4)) (* x x))))
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  1
  (sqrt (+ (* p (* p 4)) (* x x)))
  (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* p p) (* 64 (* (* p p) (* p p))))))
  (sqrt (- (* (* p (* p 4)) (* p (* p 4))) (* (- (* p (* p 4)) (* x x)) (* x x))))
  (sqrt (* (- (* p (* p 4)) (* x x)) (+ (* p (* p 4)) (* x x))))
  (sqrt (- (* p (* p 4)) (* x x)))
  1/2
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  (log (sqrt (+ (* p (* p 4)) (* x x))))
  (exp (sqrt (+ (* p (* p 4)) (* x x))))
  (* (cbrt (sqrt (+ (* p (* p 4)) (* x x)))) (cbrt (sqrt (+ (* p (* p 4)) (* x x)))))
  (cbrt (sqrt (+ (* p (* p 4)) (* x x))))
  (* (+ (* p (* p 4)) (* x x)) (sqrt (+ (* p (* p 4)) (* x x))))
  (fabs (cbrt (+ (* p (* p 4)) (* x x))))
  (sqrt (cbrt (+ (* p (* p 4)) (* x x))))
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  1
  (sqrt (+ (* p (* p 4)) (* x x)))
  (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* p p) (* 64 (* (* p p) (* p p))))))
  (sqrt (- (* (* p (* p 4)) (* p (* p 4))) (* (- (* p (* p 4)) (* x x)) (* x x))))
  (sqrt (* (- (* p (* p 4)) (* x x)) (+ (* p (* p 4)) (* x x))))
  (sqrt (- (* p (* p 4)) (* x x)))
  1/2
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  (log (sqrt (+ (* p (* p 4)) (* x x))))
  (exp (sqrt (+ (* p (* p 4)) (* x x))))
  (* (cbrt (sqrt (+ (* p (* p 4)) (* x x)))) (cbrt (sqrt (+ (* p (* p 4)) (* x x)))))
  (cbrt (sqrt (+ (* p (* p 4)) (* x x))))
  (* (+ (* p (* p 4)) (* x x)) (sqrt (+ (* p (* p 4)) (* x x))))
  (fabs (cbrt (+ (* p (* p 4)) (* x x))))
  (sqrt (cbrt (+ (* p (* p 4)) (* x x))))
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  1
  (sqrt (+ (* p (* p 4)) (* x x)))
  (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* p p) (* 64 (* (* p p) (* p p))))))
  (sqrt (- (* (* p (* p 4)) (* p (* p 4))) (* (- (* p (* p 4)) (* x x)) (* x x))))
  (sqrt (* (- (* p (* p 4)) (* x x)) (+ (* p (* p 4)) (* x x))))
  (sqrt (- (* p (* p 4)) (* x x)))
  1/2
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  (sqrt (sqrt (+ (* p (* p 4)) (* x x))))
  x
  (* 2 p)
  (* p -2)
  x
  (* 2 p)
  (* p -2)
  x
  (* 2 p)
  (* p -2)
  x
  (* 2 p)
  (* p -2)
10.011 * * * [progress]: adding candidates to table
11.171 * * [progress]: iteration 4 / 4
11.171 * * * [progress]: picking best candidate
11.218 * * * * [pick]: Picked  #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.218 * * * [progress]: localizing error
11.268 * * * [progress]: generating rewritten candidates
11.268 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1)
11.552 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2 2 2)
11.558 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 2 2 2)
11.563 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 2 2)
11.569 * * * [progress]: generating series expansions
11.569 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1)
11.570 * [backup-simplify]: Simplify (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) into (* (* (cbrt 0.125) x) (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))
11.570 * [approximate]: Taking taylor expansion of (* (* (cbrt 0.125) x) (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in (x p) around 0
11.570 * [taylor]: Taking taylor expansion of (* (* (cbrt 0.125) x) (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p
11.570 * [taylor]: Taking taylor expansion of (* (cbrt 0.125) x) in p
11.570 * [taylor]: Taking taylor expansion of (cbrt 0.125) in p
11.570 * [taylor]: Taking taylor expansion of 0.125 in p
11.570 * [backup-simplify]: Simplify 0.125 into 0.125
11.571 * [backup-simplify]: Simplify (cbrt 0.125) into (cbrt 0.125)
11.571 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 0.125))) into 0
11.571 * [taylor]: Taking taylor expansion of x in p
11.571 * [backup-simplify]: Simplify x into x
11.571 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p
11.571 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p
11.571 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
11.571 * [taylor]: Taking taylor expansion of (pow x 2) in p
11.572 * [taylor]: Taking taylor expansion of x in p
11.572 * [backup-simplify]: Simplify x into x
11.572 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
11.572 * [taylor]: Taking taylor expansion of 4 in p
11.572 * [backup-simplify]: Simplify 4 into 4
11.572 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.572 * [taylor]: Taking taylor expansion of p in p
11.572 * [backup-simplify]: Simplify 0 into 0
11.572 * [backup-simplify]: Simplify 1 into 1
11.572 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.572 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
11.572 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
11.572 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
11.572 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
11.573 * [backup-simplify]: Simplify (+ 0 0) into 0
11.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
11.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
11.573 * [taylor]: Taking taylor expansion of (* (* (cbrt 0.125) x) (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
11.573 * [taylor]: Taking taylor expansion of (* (cbrt 0.125) x) in x
11.573 * [taylor]: Taking taylor expansion of (cbrt 0.125) in x
11.573 * [taylor]: Taking taylor expansion of 0.125 in x
11.573 * [backup-simplify]: Simplify 0.125 into 0.125
11.574 * [backup-simplify]: Simplify (cbrt 0.125) into (cbrt 0.125)
11.574 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 0.125))) into 0
11.574 * [taylor]: Taking taylor expansion of x in x
11.574 * [backup-simplify]: Simplify 0 into 0
11.574 * [backup-simplify]: Simplify 1 into 1
11.574 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
11.574 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
11.574 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
11.574 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.574 * [taylor]: Taking taylor expansion of x in x
11.575 * [backup-simplify]: Simplify 0 into 0
11.575 * [backup-simplify]: Simplify 1 into 1
11.575 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
11.575 * [taylor]: Taking taylor expansion of 4 in x
11.575 * [backup-simplify]: Simplify 4 into 4
11.575 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.575 * [taylor]: Taking taylor expansion of p in x
11.575 * [backup-simplify]: Simplify p into p
11.575 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.575 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
11.575 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
11.575 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
11.575 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
11.575 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.576 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
11.576 * [backup-simplify]: Simplify (+ 0 0) into 0
11.576 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
11.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
11.577 * [taylor]: Taking taylor expansion of (* (* (cbrt 0.125) x) (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
11.577 * [taylor]: Taking taylor expansion of (* (cbrt 0.125) x) in x
11.577 * [taylor]: Taking taylor expansion of (cbrt 0.125) in x
11.577 * [taylor]: Taking taylor expansion of 0.125 in x
11.577 * [backup-simplify]: Simplify 0.125 into 0.125
11.577 * [backup-simplify]: Simplify (cbrt 0.125) into (cbrt 0.125)
11.578 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 0.125))) into 0
11.578 * [taylor]: Taking taylor expansion of x in x
11.578 * [backup-simplify]: Simplify 0 into 0
11.578 * [backup-simplify]: Simplify 1 into 1
11.578 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
11.578 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
11.578 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
11.578 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.578 * [taylor]: Taking taylor expansion of x in x
11.578 * [backup-simplify]: Simplify 0 into 0
11.578 * [backup-simplify]: Simplify 1 into 1
11.578 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
11.578 * [taylor]: Taking taylor expansion of 4 in x
11.578 * [backup-simplify]: Simplify 4 into 4
11.578 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.578 * [taylor]: Taking taylor expansion of p in x
11.578 * [backup-simplify]: Simplify p into p
11.578 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.578 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
11.578 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
11.579 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
11.579 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
11.579 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.580 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
11.580 * [backup-simplify]: Simplify (+ 0 0) into 0
11.580 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
11.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
11.581 * [backup-simplify]: Simplify (* (cbrt 0.125) 0) into 0
11.581 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0
11.581 * [taylor]: Taking taylor expansion of 0 in p
11.581 * [backup-simplify]: Simplify 0 into 0
11.581 * [backup-simplify]: Simplify 0 into 0
11.583 * [backup-simplify]: Simplify (+ (* (cbrt 0.125) 1) (* 0 0)) into (cbrt 0.125)
11.584 * [backup-simplify]: Simplify (+ (* 0 0) (* (cbrt 0.125) (/ 1/2 p))) into (* 1/2 (/ (cbrt 0.125) p))
11.584 * [taylor]: Taking taylor expansion of (* 1/2 (/ (cbrt 0.125) p)) in p
11.584 * [taylor]: Taking taylor expansion of 1/2 in p
11.584 * [backup-simplify]: Simplify 1/2 into 1/2
11.584 * [taylor]: Taking taylor expansion of (/ (cbrt 0.125) p) in p
11.585 * [taylor]: Taking taylor expansion of (cbrt 0.125) in p
11.585 * [taylor]: Taking taylor expansion of 0.125 in p
11.585 * [backup-simplify]: Simplify 0.125 into 0.125
11.585 * [backup-simplify]: Simplify (cbrt 0.125) into (cbrt 0.125)
11.586 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 0.125))) into 0
11.586 * [taylor]: Taking taylor expansion of p in p
11.586 * [backup-simplify]: Simplify 0 into 0
11.586 * [backup-simplify]: Simplify 1 into 1
11.587 * [backup-simplify]: Simplify (/ (cbrt 0.125) 1) into (cbrt 0.125)
11.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 0.125) (/ 0 1)))) into 0
11.589 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (cbrt 0.125))) into 0
11.589 * [backup-simplify]: Simplify 0 into 0
11.589 * [backup-simplify]: Simplify 0 into 0
11.589 * [backup-simplify]: Simplify (* 1 1) into 1
11.590 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
11.591 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
11.591 * [backup-simplify]: Simplify (+ 1 0) into 1
11.591 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 1 (* 4 (pow p 2)))) (* 0 (/ 0 (* 4 (pow p 2)))))) into (- (* 1/16 (/ 1 (pow p 4))))
11.592 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3))
11.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 0.125))))) (* 3 (cbrt 0.125))) into 0
11.595 * [backup-simplify]: Simplify (+ (* (cbrt 0.125) 0) (+ (* 0 1) (* 0 0))) into 0
11.596 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* (cbrt 0.125) 0) (* 0 (/ 1/2 p)))) into 0
11.596 * [taylor]: Taking taylor expansion of 0 in p
11.596 * [backup-simplify]: Simplify 0 into 0
11.596 * [backup-simplify]: Simplify 0 into 0
11.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 0.125))))) (* 3 (cbrt 0.125))) into 0
11.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 0.125) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (cbrt 0.125)))) into 0
11.601 * [backup-simplify]: Simplify 0 into 0
11.601 * [backup-simplify]: Simplify 0 into 0
11.601 * [backup-simplify]: Simplify 0 into 0
11.602 * [backup-simplify]: Simplify (cbrt (* (* (* 0.5 (/ (/ 1 x) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))))) (* 0.5 (/ (/ 1 x) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4)))))) (* 0.5 (/ (/ 1 x) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))))))) into (* (/ (cbrt 0.125) x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))
11.602 * [approximate]: Taking taylor expansion of (* (/ (cbrt 0.125) x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in (x p) around 0
11.602 * [taylor]: Taking taylor expansion of (* (/ (cbrt 0.125) x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
11.603 * [taylor]: Taking taylor expansion of (/ (cbrt 0.125) x) in p
11.603 * [taylor]: Taking taylor expansion of (cbrt 0.125) in p
11.603 * [taylor]: Taking taylor expansion of 0.125 in p
11.603 * [backup-simplify]: Simplify 0.125 into 0.125
11.603 * [backup-simplify]: Simplify (cbrt 0.125) into (cbrt 0.125)
11.604 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 0.125))) into 0
11.604 * [taylor]: Taking taylor expansion of x in p
11.604 * [backup-simplify]: Simplify x into x
11.605 * [backup-simplify]: Simplify (/ (cbrt 0.125) x) into (/ (cbrt 0.125) x)
11.605 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
11.605 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
11.605 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
11.605 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
11.605 * [taylor]: Taking taylor expansion of 4 in p
11.605 * [backup-simplify]: Simplify 4 into 4
11.605 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
11.605 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.605 * [taylor]: Taking taylor expansion of p in p
11.605 * [backup-simplify]: Simplify 0 into 0
11.605 * [backup-simplify]: Simplify 1 into 1
11.605 * [backup-simplify]: Simplify (* 1 1) into 1
11.606 * [backup-simplify]: Simplify (/ 1 1) into 1
11.606 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
11.606 * [taylor]: Taking taylor expansion of (pow x 2) in p
11.606 * [taylor]: Taking taylor expansion of x in p
11.606 * [backup-simplify]: Simplify x into x
11.606 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.606 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
11.606 * [backup-simplify]: Simplify (* 4 1) into 4
11.606 * [backup-simplify]: Simplify (+ 4 0) into 4
11.607 * [backup-simplify]: Simplify (/ 1 4) into 1/4
11.607 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
11.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.608 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
11.608 * [backup-simplify]: Simplify (+ 0 0) into 0
11.609 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
11.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
11.609 * [taylor]: Taking taylor expansion of (* (/ (cbrt 0.125) x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
11.609 * [taylor]: Taking taylor expansion of (/ (cbrt 0.125) x) in x
11.610 * [taylor]: Taking taylor expansion of (cbrt 0.125) in x
11.610 * [taylor]: Taking taylor expansion of 0.125 in x
11.610 * [backup-simplify]: Simplify 0.125 into 0.125
11.610 * [backup-simplify]: Simplify (cbrt 0.125) into (cbrt 0.125)
11.610 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 0.125))) into 0
11.610 * [taylor]: Taking taylor expansion of x in x
11.610 * [backup-simplify]: Simplify 0 into 0
11.610 * [backup-simplify]: Simplify 1 into 1
11.611 * [backup-simplify]: Simplify (/ (cbrt 0.125) 1) into (cbrt 0.125)
11.611 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
11.611 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.611 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.611 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.611 * [taylor]: Taking taylor expansion of 4 in x
11.611 * [backup-simplify]: Simplify 4 into 4
11.611 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.611 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.611 * [taylor]: Taking taylor expansion of p in x
11.611 * [backup-simplify]: Simplify p into p
11.611 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.611 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.611 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.611 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.611 * [taylor]: Taking taylor expansion of x in x
11.611 * [backup-simplify]: Simplify 0 into 0
11.611 * [backup-simplify]: Simplify 1 into 1
11.612 * [backup-simplify]: Simplify (* 1 1) into 1
11.612 * [backup-simplify]: Simplify (/ 1 1) into 1
11.612 * [backup-simplify]: Simplify (+ 0 1) into 1
11.612 * [backup-simplify]: Simplify (/ 1 1) into 1
11.613 * [backup-simplify]: Simplify (sqrt 1) into 1
11.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.614 * [backup-simplify]: Simplify (+ 0 0) into 0
11.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.615 * [taylor]: Taking taylor expansion of (* (/ (cbrt 0.125) x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
11.615 * [taylor]: Taking taylor expansion of (/ (cbrt 0.125) x) in x
11.615 * [taylor]: Taking taylor expansion of (cbrt 0.125) in x
11.615 * [taylor]: Taking taylor expansion of 0.125 in x
11.615 * [backup-simplify]: Simplify 0.125 into 0.125
11.615 * [backup-simplify]: Simplify (cbrt 0.125) into (cbrt 0.125)
11.615 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 0.125))) into 0
11.615 * [taylor]: Taking taylor expansion of x in x
11.615 * [backup-simplify]: Simplify 0 into 0
11.615 * [backup-simplify]: Simplify 1 into 1
11.616 * [backup-simplify]: Simplify (/ (cbrt 0.125) 1) into (cbrt 0.125)
11.616 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
11.616 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.616 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.616 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.616 * [taylor]: Taking taylor expansion of 4 in x
11.616 * [backup-simplify]: Simplify 4 into 4
11.616 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.616 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.616 * [taylor]: Taking taylor expansion of p in x
11.616 * [backup-simplify]: Simplify p into p
11.616 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.616 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.616 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.616 * [taylor]: Taking taylor expansion of x in x
11.616 * [backup-simplify]: Simplify 0 into 0
11.616 * [backup-simplify]: Simplify 1 into 1
11.617 * [backup-simplify]: Simplify (* 1 1) into 1
11.617 * [backup-simplify]: Simplify (/ 1 1) into 1
11.618 * [backup-simplify]: Simplify (+ 0 1) into 1
11.618 * [backup-simplify]: Simplify (/ 1 1) into 1
11.618 * [backup-simplify]: Simplify (sqrt 1) into 1
11.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.619 * [backup-simplify]: Simplify (+ 0 0) into 0
11.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.621 * [backup-simplify]: Simplify (* (cbrt 0.125) 1) into (cbrt 0.125)
11.621 * [taylor]: Taking taylor expansion of (cbrt 0.125) in p
11.621 * [taylor]: Taking taylor expansion of 0.125 in p
11.621 * [backup-simplify]: Simplify 0.125 into 0.125
11.621 * [backup-simplify]: Simplify (cbrt 0.125) into (cbrt 0.125)
11.621 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 0.125))) into 0
11.622 * [backup-simplify]: Simplify 0 into 0
11.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 0.125) (/ 0 1)))) into 0
11.623 * [backup-simplify]: Simplify (+ (* (cbrt 0.125) 0) (* 0 1)) into 0
11.623 * [taylor]: Taking taylor expansion of 0 in p
11.623 * [backup-simplify]: Simplify 0 into 0
11.623 * [backup-simplify]: Simplify 0 into 0
11.624 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 0.125))))) (* 3 (cbrt 0.125))) into 0
11.624 * [backup-simplify]: Simplify 0 into 0
11.624 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
11.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.625 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
11.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
11.626 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
11.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 0.125))))) (* 3 (cbrt 0.125))) into 0
11.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 0.125) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.628 * [backup-simplify]: Simplify (+ (* (cbrt 0.125) (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ (cbrt 0.125) (pow p 2))))
11.629 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt 0.125) (pow p 2)))) in p
11.629 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt 0.125) (pow p 2))) in p
11.629 * [taylor]: Taking taylor expansion of 2 in p
11.629 * [backup-simplify]: Simplify 2 into 2
11.629 * [taylor]: Taking taylor expansion of (/ (cbrt 0.125) (pow p 2)) in p
11.629 * [taylor]: Taking taylor expansion of (cbrt 0.125) in p
11.629 * [taylor]: Taking taylor expansion of 0.125 in p
11.629 * [backup-simplify]: Simplify 0.125 into 0.125
11.629 * [backup-simplify]: Simplify (cbrt 0.125) into (cbrt 0.125)
11.629 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 0.125))) into 0
11.629 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.629 * [taylor]: Taking taylor expansion of p in p
11.629 * [backup-simplify]: Simplify 0 into 0
11.630 * [backup-simplify]: Simplify 1 into 1
11.630 * [backup-simplify]: Simplify (* 1 1) into 1
11.630 * [backup-simplify]: Simplify (/ (cbrt 0.125) 1) into (cbrt 0.125)
11.631 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 0.125))) into 0
11.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 0.125) (/ 0 1)))) into 0
11.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.634 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 0.125))))) (* 3 (cbrt 0.125))) into 0
11.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 0.125) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 0.125) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.636 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 0.125))))) into 0
11.637 * [backup-simplify]: Simplify (- 0) into 0
11.637 * [backup-simplify]: Simplify 0 into 0
11.637 * [backup-simplify]: Simplify 0 into 0
11.637 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 0.125))) into 0
11.637 * [backup-simplify]: Simplify 0 into 0
11.637 * [backup-simplify]: Simplify 0 into 0
11.638 * [backup-simplify]: Simplify (cbrt (* (* (* 0.5 (/ (/ 1 (- x)) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))))) (* 0.5 (/ (/ 1 (- x)) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4)))))) (* 0.5 (/ (/ 1 (- x)) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))))))) into (* (/ (cbrt -0.125) x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))
11.638 * [approximate]: Taking taylor expansion of (* (/ (cbrt -0.125) x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in (x p) around 0
11.638 * [taylor]: Taking taylor expansion of (* (/ (cbrt -0.125) x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
11.638 * [taylor]: Taking taylor expansion of (/ (cbrt -0.125) x) in p
11.638 * [taylor]: Taking taylor expansion of (cbrt -0.125) in p
11.638 * [taylor]: Taking taylor expansion of -0.125 in p
11.638 * [backup-simplify]: Simplify -0.125 into -0.125
11.639 * [backup-simplify]: Simplify (cbrt -0.125) into (cbrt -0.125)
11.639 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -0.125))) into 0
11.639 * [taylor]: Taking taylor expansion of x in p
11.639 * [backup-simplify]: Simplify x into x
11.639 * [backup-simplify]: Simplify (/ (cbrt -0.125) x) into (/ (cbrt -0.125) x)
11.639 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
11.639 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
11.640 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
11.640 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
11.640 * [taylor]: Taking taylor expansion of 4 in p
11.640 * [backup-simplify]: Simplify 4 into 4
11.640 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
11.640 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.640 * [taylor]: Taking taylor expansion of p in p
11.640 * [backup-simplify]: Simplify 0 into 0
11.640 * [backup-simplify]: Simplify 1 into 1
11.640 * [backup-simplify]: Simplify (* 1 1) into 1
11.640 * [backup-simplify]: Simplify (/ 1 1) into 1
11.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
11.640 * [taylor]: Taking taylor expansion of (pow x 2) in p
11.640 * [taylor]: Taking taylor expansion of x in p
11.640 * [backup-simplify]: Simplify x into x
11.640 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.640 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
11.641 * [backup-simplify]: Simplify (* 4 1) into 4
11.641 * [backup-simplify]: Simplify (+ 4 0) into 4
11.641 * [backup-simplify]: Simplify (/ 1 4) into 1/4
11.641 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
11.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.643 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
11.643 * [backup-simplify]: Simplify (+ 0 0) into 0
11.643 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
11.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
11.644 * [taylor]: Taking taylor expansion of (* (/ (cbrt -0.125) x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
11.644 * [taylor]: Taking taylor expansion of (/ (cbrt -0.125) x) in x
11.644 * [taylor]: Taking taylor expansion of (cbrt -0.125) in x
11.644 * [taylor]: Taking taylor expansion of -0.125 in x
11.644 * [backup-simplify]: Simplify -0.125 into -0.125
11.644 * [backup-simplify]: Simplify (cbrt -0.125) into (cbrt -0.125)
11.645 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -0.125))) into 0
11.645 * [taylor]: Taking taylor expansion of x in x
11.645 * [backup-simplify]: Simplify 0 into 0
11.645 * [backup-simplify]: Simplify 1 into 1
11.645 * [backup-simplify]: Simplify (/ (cbrt -0.125) 1) into (cbrt -0.125)
11.645 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
11.645 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.645 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.645 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.645 * [taylor]: Taking taylor expansion of 4 in x
11.645 * [backup-simplify]: Simplify 4 into 4
11.645 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.645 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.645 * [taylor]: Taking taylor expansion of p in x
11.646 * [backup-simplify]: Simplify p into p
11.646 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.646 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.646 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.646 * [taylor]: Taking taylor expansion of x in x
11.646 * [backup-simplify]: Simplify 0 into 0
11.646 * [backup-simplify]: Simplify 1 into 1
11.646 * [backup-simplify]: Simplify (* 1 1) into 1
11.646 * [backup-simplify]: Simplify (/ 1 1) into 1
11.646 * [backup-simplify]: Simplify (+ 0 1) into 1
11.647 * [backup-simplify]: Simplify (/ 1 1) into 1
11.647 * [backup-simplify]: Simplify (sqrt 1) into 1
11.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.648 * [backup-simplify]: Simplify (+ 0 0) into 0
11.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.649 * [taylor]: Taking taylor expansion of (* (/ (cbrt -0.125) x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
11.649 * [taylor]: Taking taylor expansion of (/ (cbrt -0.125) x) in x
11.649 * [taylor]: Taking taylor expansion of (cbrt -0.125) in x
11.649 * [taylor]: Taking taylor expansion of -0.125 in x
11.649 * [backup-simplify]: Simplify -0.125 into -0.125
11.649 * [backup-simplify]: Simplify (cbrt -0.125) into (cbrt -0.125)
11.650 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -0.125))) into 0
11.650 * [taylor]: Taking taylor expansion of x in x
11.650 * [backup-simplify]: Simplify 0 into 0
11.650 * [backup-simplify]: Simplify 1 into 1
11.650 * [backup-simplify]: Simplify (/ (cbrt -0.125) 1) into (cbrt -0.125)
11.650 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
11.650 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.651 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.651 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.651 * [taylor]: Taking taylor expansion of 4 in x
11.651 * [backup-simplify]: Simplify 4 into 4
11.651 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.651 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.651 * [taylor]: Taking taylor expansion of p in x
11.651 * [backup-simplify]: Simplify p into p
11.651 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.651 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.651 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.651 * [taylor]: Taking taylor expansion of x in x
11.651 * [backup-simplify]: Simplify 0 into 0
11.651 * [backup-simplify]: Simplify 1 into 1
11.651 * [backup-simplify]: Simplify (* 1 1) into 1
11.651 * [backup-simplify]: Simplify (/ 1 1) into 1
11.652 * [backup-simplify]: Simplify (+ 0 1) into 1
11.652 * [backup-simplify]: Simplify (/ 1 1) into 1
11.652 * [backup-simplify]: Simplify (sqrt 1) into 1
11.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.653 * [backup-simplify]: Simplify (+ 0 0) into 0
11.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.655 * [backup-simplify]: Simplify (* (cbrt -0.125) 1) into (cbrt -0.125)
11.655 * [taylor]: Taking taylor expansion of (cbrt -0.125) in p
11.655 * [taylor]: Taking taylor expansion of -0.125 in p
11.655 * [backup-simplify]: Simplify -0.125 into -0.125
11.655 * [backup-simplify]: Simplify (cbrt -0.125) into (cbrt -0.125)
11.659 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -0.125))) into 0
11.660 * [backup-simplify]: Simplify 0 into 0
11.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -0.125) (/ 0 1)))) into 0
11.661 * [backup-simplify]: Simplify (+ (* (cbrt -0.125) 0) (* 0 1)) into 0
11.661 * [taylor]: Taking taylor expansion of 0 in p
11.661 * [backup-simplify]: Simplify 0 into 0
11.661 * [backup-simplify]: Simplify 0 into 0
11.662 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -0.125))))) (* 3 (cbrt -0.125))) into 0
11.662 * [backup-simplify]: Simplify 0 into 0
11.662 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
11.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.663 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
11.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
11.665 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
11.666 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -0.125))))) (* 3 (cbrt -0.125))) into 0
11.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -0.125) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.667 * [backup-simplify]: Simplify (+ (* (cbrt -0.125) (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ (cbrt -0.125) (pow p 2))))
11.667 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -0.125) (pow p 2)))) in p
11.667 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -0.125) (pow p 2))) in p
11.667 * [taylor]: Taking taylor expansion of 2 in p
11.667 * [backup-simplify]: Simplify 2 into 2
11.667 * [taylor]: Taking taylor expansion of (/ (cbrt -0.125) (pow p 2)) in p
11.667 * [taylor]: Taking taylor expansion of (cbrt -0.125) in p
11.667 * [taylor]: Taking taylor expansion of -0.125 in p
11.667 * [backup-simplify]: Simplify -0.125 into -0.125
11.668 * [backup-simplify]: Simplify (cbrt -0.125) into (cbrt -0.125)
11.668 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -0.125))) into 0
11.668 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.668 * [taylor]: Taking taylor expansion of p in p
11.668 * [backup-simplify]: Simplify 0 into 0
11.668 * [backup-simplify]: Simplify 1 into 1
11.668 * [backup-simplify]: Simplify (* 1 1) into 1
11.669 * [backup-simplify]: Simplify (/ (cbrt -0.125) 1) into (cbrt -0.125)
11.670 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -0.125))) into 0
11.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -0.125) (/ 0 1)))) into 0
11.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.673 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -0.125))))) (* 3 (cbrt -0.125))) into 0
11.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -0.125) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -0.125) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.675 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -0.125))))) into 0
11.676 * [backup-simplify]: Simplify (- 0) into 0
11.676 * [backup-simplify]: Simplify 0 into 0
11.676 * [backup-simplify]: Simplify 0 into 0
11.677 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -0.125))) into 0
11.677 * [backup-simplify]: Simplify 0 into 0
11.677 * [backup-simplify]: Simplify 0 into 0
11.677 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2 2 2)
11.677 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p p) 4))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
11.677 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
11.677 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
11.677 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
11.677 * [taylor]: Taking taylor expansion of (pow x 2) in p
11.677 * [taylor]: Taking taylor expansion of x in p
11.677 * [backup-simplify]: Simplify x into x
11.677 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
11.677 * [taylor]: Taking taylor expansion of 4 in p
11.677 * [backup-simplify]: Simplify 4 into 4
11.677 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.677 * [taylor]: Taking taylor expansion of p in p
11.677 * [backup-simplify]: Simplify 0 into 0
11.677 * [backup-simplify]: Simplify 1 into 1
11.677 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.677 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
11.677 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
11.677 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
11.678 * [backup-simplify]: Simplify (+ 0 0) into 0
11.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
11.678 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
11.678 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
11.678 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.678 * [taylor]: Taking taylor expansion of x in x
11.678 * [backup-simplify]: Simplify 0 into 0
11.678 * [backup-simplify]: Simplify 1 into 1
11.678 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
11.678 * [taylor]: Taking taylor expansion of 4 in x
11.678 * [backup-simplify]: Simplify 4 into 4
11.678 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.678 * [taylor]: Taking taylor expansion of p in x
11.678 * [backup-simplify]: Simplify p into p
11.678 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.678 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
11.678 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
11.678 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
11.678 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.678 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
11.679 * [backup-simplify]: Simplify (+ 0 0) into 0
11.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
11.679 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
11.679 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
11.679 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.679 * [taylor]: Taking taylor expansion of x in x
11.679 * [backup-simplify]: Simplify 0 into 0
11.679 * [backup-simplify]: Simplify 1 into 1
11.679 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
11.679 * [taylor]: Taking taylor expansion of 4 in x
11.679 * [backup-simplify]: Simplify 4 into 4
11.679 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.679 * [taylor]: Taking taylor expansion of p in x
11.679 * [backup-simplify]: Simplify p into p
11.679 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.679 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
11.679 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
11.679 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
11.679 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.680 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
11.680 * [backup-simplify]: Simplify (+ 0 0) into 0
11.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
11.680 * [taylor]: Taking taylor expansion of (* 2 p) in p
11.680 * [taylor]: Taking taylor expansion of 2 in p
11.680 * [backup-simplify]: Simplify 2 into 2
11.680 * [taylor]: Taking taylor expansion of p in p
11.680 * [backup-simplify]: Simplify 0 into 0
11.680 * [backup-simplify]: Simplify 1 into 1
11.681 * [backup-simplify]: Simplify (* 2 0) into 0
11.681 * [backup-simplify]: Simplify 0 into 0
11.681 * [taylor]: Taking taylor expansion of 0 in p
11.681 * [backup-simplify]: Simplify 0 into 0
11.681 * [backup-simplify]: Simplify 0 into 0
11.681 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
11.681 * [backup-simplify]: Simplify 2 into 2
11.681 * [backup-simplify]: Simplify (* 1 1) into 1
11.682 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
11.682 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
11.682 * [backup-simplify]: Simplify (+ 1 0) into 1
11.683 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
11.683 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
11.683 * [taylor]: Taking taylor expansion of 1/4 in p
11.683 * [backup-simplify]: Simplify 1/4 into 1/4
11.683 * [taylor]: Taking taylor expansion of p in p
11.683 * [backup-simplify]: Simplify 0 into 0
11.683 * [backup-simplify]: Simplify 1 into 1
11.683 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
11.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
11.684 * [backup-simplify]: Simplify 0 into 0
11.684 * [backup-simplify]: Simplify 0 into 0
11.684 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
11.685 * [backup-simplify]: Simplify 0 into 0
11.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.685 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
11.686 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
11.686 * [backup-simplify]: Simplify (+ 0 0) into 0
11.687 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
11.687 * [taylor]: Taking taylor expansion of 0 in p
11.687 * [backup-simplify]: Simplify 0 into 0
11.687 * [backup-simplify]: Simplify 0 into 0
11.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.687 * [backup-simplify]: Simplify 0 into 0
11.687 * [backup-simplify]: Simplify 0 into 0
11.687 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
11.688 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
11.688 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
11.688 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
11.688 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
11.688 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
11.688 * [taylor]: Taking taylor expansion of 4 in p
11.688 * [backup-simplify]: Simplify 4 into 4
11.688 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
11.688 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.688 * [taylor]: Taking taylor expansion of p in p
11.688 * [backup-simplify]: Simplify 0 into 0
11.688 * [backup-simplify]: Simplify 1 into 1
11.688 * [backup-simplify]: Simplify (* 1 1) into 1
11.688 * [backup-simplify]: Simplify (/ 1 1) into 1
11.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
11.688 * [taylor]: Taking taylor expansion of (pow x 2) in p
11.688 * [taylor]: Taking taylor expansion of x in p
11.688 * [backup-simplify]: Simplify x into x
11.688 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.688 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
11.689 * [backup-simplify]: Simplify (* 4 1) into 4
11.689 * [backup-simplify]: Simplify (+ 4 0) into 4
11.689 * [backup-simplify]: Simplify (sqrt 4) into 2
11.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.691 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
11.691 * [backup-simplify]: Simplify (+ 0 0) into 0
11.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
11.691 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.692 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.692 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.692 * [taylor]: Taking taylor expansion of 4 in x
11.692 * [backup-simplify]: Simplify 4 into 4
11.692 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.692 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.692 * [taylor]: Taking taylor expansion of p in x
11.692 * [backup-simplify]: Simplify p into p
11.692 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.692 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.692 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.692 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.692 * [taylor]: Taking taylor expansion of x in x
11.692 * [backup-simplify]: Simplify 0 into 0
11.692 * [backup-simplify]: Simplify 1 into 1
11.692 * [backup-simplify]: Simplify (* 1 1) into 1
11.693 * [backup-simplify]: Simplify (/ 1 1) into 1
11.693 * [backup-simplify]: Simplify (+ 0 1) into 1
11.693 * [backup-simplify]: Simplify (sqrt 1) into 1
11.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.694 * [backup-simplify]: Simplify (+ 0 0) into 0
11.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.695 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.695 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.695 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.695 * [taylor]: Taking taylor expansion of 4 in x
11.695 * [backup-simplify]: Simplify 4 into 4
11.695 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.695 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.695 * [taylor]: Taking taylor expansion of p in x
11.695 * [backup-simplify]: Simplify p into p
11.695 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.695 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.695 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.695 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.695 * [taylor]: Taking taylor expansion of x in x
11.695 * [backup-simplify]: Simplify 0 into 0
11.695 * [backup-simplify]: Simplify 1 into 1
11.695 * [backup-simplify]: Simplify (* 1 1) into 1
11.695 * [backup-simplify]: Simplify (/ 1 1) into 1
11.696 * [backup-simplify]: Simplify (+ 0 1) into 1
11.696 * [backup-simplify]: Simplify (sqrt 1) into 1
11.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.697 * [backup-simplify]: Simplify (+ 0 0) into 0
11.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.697 * [taylor]: Taking taylor expansion of 1 in p
11.698 * [backup-simplify]: Simplify 1 into 1
11.698 * [taylor]: Taking taylor expansion of 0 in p
11.698 * [backup-simplify]: Simplify 0 into 0
11.698 * [backup-simplify]: Simplify 1 into 1
11.698 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
11.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.699 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
11.700 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
11.700 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
11.700 * [taylor]: Taking taylor expansion of 2 in p
11.700 * [backup-simplify]: Simplify 2 into 2
11.700 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.700 * [taylor]: Taking taylor expansion of p in p
11.700 * [backup-simplify]: Simplify 0 into 0
11.700 * [backup-simplify]: Simplify 1 into 1
11.700 * [backup-simplify]: Simplify (* 1 1) into 1
11.700 * [backup-simplify]: Simplify (/ 2 1) into 2
11.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
11.701 * [backup-simplify]: Simplify 0 into 0
11.701 * [backup-simplify]: Simplify 0 into 0
11.701 * [backup-simplify]: Simplify 0 into 0
11.701 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
11.702 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
11.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.703 * [backup-simplify]: Simplify (+ 0 0) into 0
11.704 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
11.704 * [taylor]: Taking taylor expansion of 0 in p
11.704 * [backup-simplify]: Simplify 0 into 0
11.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.705 * [backup-simplify]: Simplify 0 into 0
11.705 * [backup-simplify]: Simplify 0 into 0
11.705 * [backup-simplify]: Simplify 0 into 0
11.705 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
11.705 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
11.705 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
11.705 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
11.705 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
11.706 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
11.706 * [taylor]: Taking taylor expansion of 4 in p
11.706 * [backup-simplify]: Simplify 4 into 4
11.706 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
11.706 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.706 * [taylor]: Taking taylor expansion of p in p
11.706 * [backup-simplify]: Simplify 0 into 0
11.706 * [backup-simplify]: Simplify 1 into 1
11.706 * [backup-simplify]: Simplify (* 1 1) into 1
11.706 * [backup-simplify]: Simplify (/ 1 1) into 1
11.706 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
11.706 * [taylor]: Taking taylor expansion of (pow x 2) in p
11.706 * [taylor]: Taking taylor expansion of x in p
11.706 * [backup-simplify]: Simplify x into x
11.706 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.706 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
11.707 * [backup-simplify]: Simplify (* 4 1) into 4
11.707 * [backup-simplify]: Simplify (+ 4 0) into 4
11.707 * [backup-simplify]: Simplify (sqrt 4) into 2
11.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.708 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
11.709 * [backup-simplify]: Simplify (+ 0 0) into 0
11.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
11.709 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.709 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.709 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.709 * [taylor]: Taking taylor expansion of 4 in x
11.709 * [backup-simplify]: Simplify 4 into 4
11.709 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.709 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.709 * [taylor]: Taking taylor expansion of p in x
11.709 * [backup-simplify]: Simplify p into p
11.709 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.709 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.709 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.709 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.709 * [taylor]: Taking taylor expansion of x in x
11.709 * [backup-simplify]: Simplify 0 into 0
11.710 * [backup-simplify]: Simplify 1 into 1
11.710 * [backup-simplify]: Simplify (* 1 1) into 1
11.710 * [backup-simplify]: Simplify (/ 1 1) into 1
11.710 * [backup-simplify]: Simplify (+ 0 1) into 1
11.711 * [backup-simplify]: Simplify (sqrt 1) into 1
11.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.712 * [backup-simplify]: Simplify (+ 0 0) into 0
11.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.712 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.712 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.712 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.712 * [taylor]: Taking taylor expansion of 4 in x
11.712 * [backup-simplify]: Simplify 4 into 4
11.712 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.712 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.712 * [taylor]: Taking taylor expansion of p in x
11.712 * [backup-simplify]: Simplify p into p
11.712 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.712 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.712 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.713 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.713 * [taylor]: Taking taylor expansion of x in x
11.713 * [backup-simplify]: Simplify 0 into 0
11.713 * [backup-simplify]: Simplify 1 into 1
11.713 * [backup-simplify]: Simplify (* 1 1) into 1
11.713 * [backup-simplify]: Simplify (/ 1 1) into 1
11.713 * [backup-simplify]: Simplify (+ 0 1) into 1
11.714 * [backup-simplify]: Simplify (sqrt 1) into 1
11.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.715 * [backup-simplify]: Simplify (+ 0 0) into 0
11.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.715 * [taylor]: Taking taylor expansion of 1 in p
11.715 * [backup-simplify]: Simplify 1 into 1
11.715 * [taylor]: Taking taylor expansion of 0 in p
11.715 * [backup-simplify]: Simplify 0 into 0
11.715 * [backup-simplify]: Simplify 1 into 1
11.715 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
11.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.716 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
11.717 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
11.717 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
11.717 * [taylor]: Taking taylor expansion of 2 in p
11.717 * [backup-simplify]: Simplify 2 into 2
11.717 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.717 * [taylor]: Taking taylor expansion of p in p
11.717 * [backup-simplify]: Simplify 0 into 0
11.717 * [backup-simplify]: Simplify 1 into 1
11.718 * [backup-simplify]: Simplify (* 1 1) into 1
11.718 * [backup-simplify]: Simplify (/ 2 1) into 2
11.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
11.719 * [backup-simplify]: Simplify 0 into 0
11.719 * [backup-simplify]: Simplify 0 into 0
11.719 * [backup-simplify]: Simplify 0 into 0
11.719 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
11.719 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
11.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.721 * [backup-simplify]: Simplify (+ 0 0) into 0
11.721 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
11.721 * [taylor]: Taking taylor expansion of 0 in p
11.721 * [backup-simplify]: Simplify 0 into 0
11.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.722 * [backup-simplify]: Simplify 0 into 0
11.722 * [backup-simplify]: Simplify 0 into 0
11.722 * [backup-simplify]: Simplify 0 into 0
11.722 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
11.722 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 2 2 2)
11.723 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p p) 4))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
11.723 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
11.723 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
11.723 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
11.723 * [taylor]: Taking taylor expansion of (pow x 2) in p
11.723 * [taylor]: Taking taylor expansion of x in p
11.723 * [backup-simplify]: Simplify x into x
11.723 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
11.723 * [taylor]: Taking taylor expansion of 4 in p
11.723 * [backup-simplify]: Simplify 4 into 4
11.723 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.723 * [taylor]: Taking taylor expansion of p in p
11.723 * [backup-simplify]: Simplify 0 into 0
11.723 * [backup-simplify]: Simplify 1 into 1
11.723 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.723 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
11.723 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
11.723 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
11.723 * [backup-simplify]: Simplify (+ 0 0) into 0
11.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
11.723 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
11.723 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
11.723 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.723 * [taylor]: Taking taylor expansion of x in x
11.723 * [backup-simplify]: Simplify 0 into 0
11.723 * [backup-simplify]: Simplify 1 into 1
11.723 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
11.723 * [taylor]: Taking taylor expansion of 4 in x
11.724 * [backup-simplify]: Simplify 4 into 4
11.724 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.724 * [taylor]: Taking taylor expansion of p in x
11.724 * [backup-simplify]: Simplify p into p
11.724 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.724 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
11.724 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
11.724 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
11.724 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.724 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
11.724 * [backup-simplify]: Simplify (+ 0 0) into 0
11.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
11.724 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
11.724 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
11.725 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.725 * [taylor]: Taking taylor expansion of x in x
11.725 * [backup-simplify]: Simplify 0 into 0
11.725 * [backup-simplify]: Simplify 1 into 1
11.725 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
11.725 * [taylor]: Taking taylor expansion of 4 in x
11.725 * [backup-simplify]: Simplify 4 into 4
11.725 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.725 * [taylor]: Taking taylor expansion of p in x
11.725 * [backup-simplify]: Simplify p into p
11.725 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.725 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
11.725 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
11.725 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
11.725 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.725 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
11.726 * [backup-simplify]: Simplify (+ 0 0) into 0
11.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
11.726 * [taylor]: Taking taylor expansion of (* 2 p) in p
11.726 * [taylor]: Taking taylor expansion of 2 in p
11.726 * [backup-simplify]: Simplify 2 into 2
11.726 * [taylor]: Taking taylor expansion of p in p
11.726 * [backup-simplify]: Simplify 0 into 0
11.726 * [backup-simplify]: Simplify 1 into 1
11.726 * [backup-simplify]: Simplify (* 2 0) into 0
11.726 * [backup-simplify]: Simplify 0 into 0
11.726 * [taylor]: Taking taylor expansion of 0 in p
11.726 * [backup-simplify]: Simplify 0 into 0
11.726 * [backup-simplify]: Simplify 0 into 0
11.727 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
11.727 * [backup-simplify]: Simplify 2 into 2
11.727 * [backup-simplify]: Simplify (* 1 1) into 1
11.727 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
11.728 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
11.728 * [backup-simplify]: Simplify (+ 1 0) into 1
11.728 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
11.728 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
11.728 * [taylor]: Taking taylor expansion of 1/4 in p
11.728 * [backup-simplify]: Simplify 1/4 into 1/4
11.728 * [taylor]: Taking taylor expansion of p in p
11.728 * [backup-simplify]: Simplify 0 into 0
11.729 * [backup-simplify]: Simplify 1 into 1
11.729 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
11.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
11.729 * [backup-simplify]: Simplify 0 into 0
11.729 * [backup-simplify]: Simplify 0 into 0
11.730 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
11.730 * [backup-simplify]: Simplify 0 into 0
11.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.731 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
11.732 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
11.732 * [backup-simplify]: Simplify (+ 0 0) into 0
11.732 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
11.732 * [taylor]: Taking taylor expansion of 0 in p
11.732 * [backup-simplify]: Simplify 0 into 0
11.732 * [backup-simplify]: Simplify 0 into 0
11.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.733 * [backup-simplify]: Simplify 0 into 0
11.733 * [backup-simplify]: Simplify 0 into 0
11.733 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
11.733 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
11.733 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
11.733 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
11.733 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
11.733 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
11.733 * [taylor]: Taking taylor expansion of 4 in p
11.733 * [backup-simplify]: Simplify 4 into 4
11.733 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
11.733 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.733 * [taylor]: Taking taylor expansion of p in p
11.733 * [backup-simplify]: Simplify 0 into 0
11.733 * [backup-simplify]: Simplify 1 into 1
11.734 * [backup-simplify]: Simplify (* 1 1) into 1
11.734 * [backup-simplify]: Simplify (/ 1 1) into 1
11.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
11.734 * [taylor]: Taking taylor expansion of (pow x 2) in p
11.734 * [taylor]: Taking taylor expansion of x in p
11.734 * [backup-simplify]: Simplify x into x
11.734 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.734 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
11.734 * [backup-simplify]: Simplify (* 4 1) into 4
11.734 * [backup-simplify]: Simplify (+ 4 0) into 4
11.735 * [backup-simplify]: Simplify (sqrt 4) into 2
11.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.736 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
11.736 * [backup-simplify]: Simplify (+ 0 0) into 0
11.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
11.737 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.737 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.737 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.737 * [taylor]: Taking taylor expansion of 4 in x
11.737 * [backup-simplify]: Simplify 4 into 4
11.737 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.737 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.737 * [taylor]: Taking taylor expansion of p in x
11.737 * [backup-simplify]: Simplify p into p
11.737 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.737 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.737 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.737 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.737 * [taylor]: Taking taylor expansion of x in x
11.737 * [backup-simplify]: Simplify 0 into 0
11.737 * [backup-simplify]: Simplify 1 into 1
11.737 * [backup-simplify]: Simplify (* 1 1) into 1
11.738 * [backup-simplify]: Simplify (/ 1 1) into 1
11.738 * [backup-simplify]: Simplify (+ 0 1) into 1
11.738 * [backup-simplify]: Simplify (sqrt 1) into 1
11.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.739 * [backup-simplify]: Simplify (+ 0 0) into 0
11.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.740 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.740 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.740 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.740 * [taylor]: Taking taylor expansion of 4 in x
11.740 * [backup-simplify]: Simplify 4 into 4
11.740 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.740 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.740 * [taylor]: Taking taylor expansion of p in x
11.740 * [backup-simplify]: Simplify p into p
11.740 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.740 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.740 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.740 * [taylor]: Taking taylor expansion of x in x
11.740 * [backup-simplify]: Simplify 0 into 0
11.740 * [backup-simplify]: Simplify 1 into 1
11.740 * [backup-simplify]: Simplify (* 1 1) into 1
11.740 * [backup-simplify]: Simplify (/ 1 1) into 1
11.741 * [backup-simplify]: Simplify (+ 0 1) into 1
11.741 * [backup-simplify]: Simplify (sqrt 1) into 1
11.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.743 * [backup-simplify]: Simplify (+ 0 0) into 0
11.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.744 * [taylor]: Taking taylor expansion of 1 in p
11.744 * [backup-simplify]: Simplify 1 into 1
11.744 * [taylor]: Taking taylor expansion of 0 in p
11.744 * [backup-simplify]: Simplify 0 into 0
11.744 * [backup-simplify]: Simplify 1 into 1
11.744 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
11.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.746 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
11.747 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
11.747 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
11.747 * [taylor]: Taking taylor expansion of 2 in p
11.747 * [backup-simplify]: Simplify 2 into 2
11.747 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.747 * [taylor]: Taking taylor expansion of p in p
11.747 * [backup-simplify]: Simplify 0 into 0
11.747 * [backup-simplify]: Simplify 1 into 1
11.748 * [backup-simplify]: Simplify (* 1 1) into 1
11.748 * [backup-simplify]: Simplify (/ 2 1) into 2
11.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
11.750 * [backup-simplify]: Simplify 0 into 0
11.750 * [backup-simplify]: Simplify 0 into 0
11.750 * [backup-simplify]: Simplify 0 into 0
11.750 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
11.751 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
11.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.753 * [backup-simplify]: Simplify (+ 0 0) into 0
11.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
11.754 * [taylor]: Taking taylor expansion of 0 in p
11.754 * [backup-simplify]: Simplify 0 into 0
11.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.762 * [backup-simplify]: Simplify 0 into 0
11.763 * [backup-simplify]: Simplify 0 into 0
11.763 * [backup-simplify]: Simplify 0 into 0
11.763 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
11.763 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
11.763 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
11.763 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
11.763 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
11.763 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
11.763 * [taylor]: Taking taylor expansion of 4 in p
11.763 * [backup-simplify]: Simplify 4 into 4
11.763 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
11.763 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.763 * [taylor]: Taking taylor expansion of p in p
11.763 * [backup-simplify]: Simplify 0 into 0
11.763 * [backup-simplify]: Simplify 1 into 1
11.764 * [backup-simplify]: Simplify (* 1 1) into 1
11.765 * [backup-simplify]: Simplify (/ 1 1) into 1
11.765 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
11.765 * [taylor]: Taking taylor expansion of (pow x 2) in p
11.765 * [taylor]: Taking taylor expansion of x in p
11.765 * [backup-simplify]: Simplify x into x
11.765 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.765 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
11.766 * [backup-simplify]: Simplify (* 4 1) into 4
11.766 * [backup-simplify]: Simplify (+ 4 0) into 4
11.767 * [backup-simplify]: Simplify (sqrt 4) into 2
11.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.769 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
11.769 * [backup-simplify]: Simplify (+ 0 0) into 0
11.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
11.770 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.770 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.770 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.770 * [taylor]: Taking taylor expansion of 4 in x
11.770 * [backup-simplify]: Simplify 4 into 4
11.770 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.770 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.770 * [taylor]: Taking taylor expansion of p in x
11.770 * [backup-simplify]: Simplify p into p
11.770 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.770 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.770 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.770 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.771 * [taylor]: Taking taylor expansion of x in x
11.771 * [backup-simplify]: Simplify 0 into 0
11.771 * [backup-simplify]: Simplify 1 into 1
11.771 * [backup-simplify]: Simplify (* 1 1) into 1
11.771 * [backup-simplify]: Simplify (/ 1 1) into 1
11.772 * [backup-simplify]: Simplify (+ 0 1) into 1
11.772 * [backup-simplify]: Simplify (sqrt 1) into 1
11.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.773 * [backup-simplify]: Simplify (+ 0 0) into 0
11.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.774 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.774 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.774 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.774 * [taylor]: Taking taylor expansion of 4 in x
11.774 * [backup-simplify]: Simplify 4 into 4
11.774 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.774 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.774 * [taylor]: Taking taylor expansion of p in x
11.774 * [backup-simplify]: Simplify p into p
11.774 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.774 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.774 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.774 * [taylor]: Taking taylor expansion of x in x
11.774 * [backup-simplify]: Simplify 0 into 0
11.774 * [backup-simplify]: Simplify 1 into 1
11.774 * [backup-simplify]: Simplify (* 1 1) into 1
11.775 * [backup-simplify]: Simplify (/ 1 1) into 1
11.775 * [backup-simplify]: Simplify (+ 0 1) into 1
11.775 * [backup-simplify]: Simplify (sqrt 1) into 1
11.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.776 * [backup-simplify]: Simplify (+ 0 0) into 0
11.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.777 * [taylor]: Taking taylor expansion of 1 in p
11.777 * [backup-simplify]: Simplify 1 into 1
11.777 * [taylor]: Taking taylor expansion of 0 in p
11.777 * [backup-simplify]: Simplify 0 into 0
11.777 * [backup-simplify]: Simplify 1 into 1
11.777 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
11.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.778 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
11.779 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
11.779 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
11.779 * [taylor]: Taking taylor expansion of 2 in p
11.779 * [backup-simplify]: Simplify 2 into 2
11.779 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.779 * [taylor]: Taking taylor expansion of p in p
11.779 * [backup-simplify]: Simplify 0 into 0
11.779 * [backup-simplify]: Simplify 1 into 1
11.779 * [backup-simplify]: Simplify (* 1 1) into 1
11.779 * [backup-simplify]: Simplify (/ 2 1) into 2
11.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
11.780 * [backup-simplify]: Simplify 0 into 0
11.780 * [backup-simplify]: Simplify 0 into 0
11.781 * [backup-simplify]: Simplify 0 into 0
11.781 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
11.781 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
11.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.783 * [backup-simplify]: Simplify (+ 0 0) into 0
11.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
11.783 * [taylor]: Taking taylor expansion of 0 in p
11.783 * [backup-simplify]: Simplify 0 into 0
11.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.784 * [backup-simplify]: Simplify 0 into 0
11.784 * [backup-simplify]: Simplify 0 into 0
11.784 * [backup-simplify]: Simplify 0 into 0
11.784 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
11.784 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 2 2)
11.785 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p p) 4))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
11.785 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
11.785 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
11.785 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
11.785 * [taylor]: Taking taylor expansion of (pow x 2) in p
11.785 * [taylor]: Taking taylor expansion of x in p
11.785 * [backup-simplify]: Simplify x into x
11.785 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
11.785 * [taylor]: Taking taylor expansion of 4 in p
11.785 * [backup-simplify]: Simplify 4 into 4
11.785 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.785 * [taylor]: Taking taylor expansion of p in p
11.785 * [backup-simplify]: Simplify 0 into 0
11.785 * [backup-simplify]: Simplify 1 into 1
11.785 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.785 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
11.785 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
11.785 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
11.785 * [backup-simplify]: Simplify (+ 0 0) into 0
11.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
11.785 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
11.785 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
11.785 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.785 * [taylor]: Taking taylor expansion of x in x
11.785 * [backup-simplify]: Simplify 0 into 0
11.785 * [backup-simplify]: Simplify 1 into 1
11.785 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
11.785 * [taylor]: Taking taylor expansion of 4 in x
11.785 * [backup-simplify]: Simplify 4 into 4
11.785 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.785 * [taylor]: Taking taylor expansion of p in x
11.785 * [backup-simplify]: Simplify p into p
11.785 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.786 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
11.786 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
11.786 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
11.786 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.786 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
11.786 * [backup-simplify]: Simplify (+ 0 0) into 0
11.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
11.786 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
11.786 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
11.786 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.786 * [taylor]: Taking taylor expansion of x in x
11.786 * [backup-simplify]: Simplify 0 into 0
11.786 * [backup-simplify]: Simplify 1 into 1
11.786 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
11.787 * [taylor]: Taking taylor expansion of 4 in x
11.787 * [backup-simplify]: Simplify 4 into 4
11.787 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.787 * [taylor]: Taking taylor expansion of p in x
11.787 * [backup-simplify]: Simplify p into p
11.787 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.787 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
11.787 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
11.787 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
11.787 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.787 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
11.787 * [backup-simplify]: Simplify (+ 0 0) into 0
11.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
11.788 * [taylor]: Taking taylor expansion of (* 2 p) in p
11.788 * [taylor]: Taking taylor expansion of 2 in p
11.788 * [backup-simplify]: Simplify 2 into 2
11.788 * [taylor]: Taking taylor expansion of p in p
11.788 * [backup-simplify]: Simplify 0 into 0
11.788 * [backup-simplify]: Simplify 1 into 1
11.788 * [backup-simplify]: Simplify (* 2 0) into 0
11.788 * [backup-simplify]: Simplify 0 into 0
11.788 * [taylor]: Taking taylor expansion of 0 in p
11.788 * [backup-simplify]: Simplify 0 into 0
11.788 * [backup-simplify]: Simplify 0 into 0
11.788 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
11.788 * [backup-simplify]: Simplify 2 into 2
11.789 * [backup-simplify]: Simplify (* 1 1) into 1
11.789 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
11.790 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
11.790 * [backup-simplify]: Simplify (+ 1 0) into 1
11.790 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
11.790 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
11.790 * [taylor]: Taking taylor expansion of 1/4 in p
11.790 * [backup-simplify]: Simplify 1/4 into 1/4
11.790 * [taylor]: Taking taylor expansion of p in p
11.790 * [backup-simplify]: Simplify 0 into 0
11.790 * [backup-simplify]: Simplify 1 into 1
11.791 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
11.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
11.791 * [backup-simplify]: Simplify 0 into 0
11.791 * [backup-simplify]: Simplify 0 into 0
11.792 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
11.792 * [backup-simplify]: Simplify 0 into 0
11.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.793 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
11.794 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
11.794 * [backup-simplify]: Simplify (+ 0 0) into 0
11.794 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
11.794 * [taylor]: Taking taylor expansion of 0 in p
11.794 * [backup-simplify]: Simplify 0 into 0
11.794 * [backup-simplify]: Simplify 0 into 0
11.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.795 * [backup-simplify]: Simplify 0 into 0
11.795 * [backup-simplify]: Simplify 0 into 0
11.795 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
11.795 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
11.795 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
11.795 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
11.795 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
11.795 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
11.795 * [taylor]: Taking taylor expansion of 4 in p
11.795 * [backup-simplify]: Simplify 4 into 4
11.795 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
11.795 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.795 * [taylor]: Taking taylor expansion of p in p
11.795 * [backup-simplify]: Simplify 0 into 0
11.795 * [backup-simplify]: Simplify 1 into 1
11.795 * [backup-simplify]: Simplify (* 1 1) into 1
11.795 * [backup-simplify]: Simplify (/ 1 1) into 1
11.795 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
11.795 * [taylor]: Taking taylor expansion of (pow x 2) in p
11.796 * [taylor]: Taking taylor expansion of x in p
11.796 * [backup-simplify]: Simplify x into x
11.796 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.796 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
11.796 * [backup-simplify]: Simplify (* 4 1) into 4
11.796 * [backup-simplify]: Simplify (+ 4 0) into 4
11.796 * [backup-simplify]: Simplify (sqrt 4) into 2
11.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.798 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
11.798 * [backup-simplify]: Simplify (+ 0 0) into 0
11.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
11.798 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.798 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.798 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.798 * [taylor]: Taking taylor expansion of 4 in x
11.798 * [backup-simplify]: Simplify 4 into 4
11.798 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.798 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.798 * [taylor]: Taking taylor expansion of p in x
11.798 * [backup-simplify]: Simplify p into p
11.799 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.799 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.799 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.799 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.799 * [taylor]: Taking taylor expansion of x in x
11.799 * [backup-simplify]: Simplify 0 into 0
11.799 * [backup-simplify]: Simplify 1 into 1
11.799 * [backup-simplify]: Simplify (* 1 1) into 1
11.799 * [backup-simplify]: Simplify (/ 1 1) into 1
11.799 * [backup-simplify]: Simplify (+ 0 1) into 1
11.800 * [backup-simplify]: Simplify (sqrt 1) into 1
11.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.801 * [backup-simplify]: Simplify (+ 0 0) into 0
11.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.801 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.801 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.801 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.801 * [taylor]: Taking taylor expansion of 4 in x
11.801 * [backup-simplify]: Simplify 4 into 4
11.801 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.801 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.801 * [taylor]: Taking taylor expansion of p in x
11.801 * [backup-simplify]: Simplify p into p
11.801 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.801 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.801 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.801 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.802 * [taylor]: Taking taylor expansion of x in x
11.802 * [backup-simplify]: Simplify 0 into 0
11.802 * [backup-simplify]: Simplify 1 into 1
11.802 * [backup-simplify]: Simplify (* 1 1) into 1
11.802 * [backup-simplify]: Simplify (/ 1 1) into 1
11.802 * [backup-simplify]: Simplify (+ 0 1) into 1
11.803 * [backup-simplify]: Simplify (sqrt 1) into 1
11.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.804 * [backup-simplify]: Simplify (+ 0 0) into 0
11.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.804 * [taylor]: Taking taylor expansion of 1 in p
11.804 * [backup-simplify]: Simplify 1 into 1
11.804 * [taylor]: Taking taylor expansion of 0 in p
11.805 * [backup-simplify]: Simplify 0 into 0
11.805 * [backup-simplify]: Simplify 1 into 1
11.805 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
11.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.807 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
11.808 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
11.808 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
11.808 * [taylor]: Taking taylor expansion of 2 in p
11.808 * [backup-simplify]: Simplify 2 into 2
11.808 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.808 * [taylor]: Taking taylor expansion of p in p
11.808 * [backup-simplify]: Simplify 0 into 0
11.808 * [backup-simplify]: Simplify 1 into 1
11.809 * [backup-simplify]: Simplify (* 1 1) into 1
11.809 * [backup-simplify]: Simplify (/ 2 1) into 2
11.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
11.811 * [backup-simplify]: Simplify 0 into 0
11.811 * [backup-simplify]: Simplify 0 into 0
11.811 * [backup-simplify]: Simplify 0 into 0
11.811 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
11.812 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
11.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.814 * [backup-simplify]: Simplify (+ 0 0) into 0
11.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
11.815 * [taylor]: Taking taylor expansion of 0 in p
11.815 * [backup-simplify]: Simplify 0 into 0
11.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.817 * [backup-simplify]: Simplify 0 into 0
11.817 * [backup-simplify]: Simplify 0 into 0
11.817 * [backup-simplify]: Simplify 0 into 0
11.817 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
11.818 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
11.818 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
11.818 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
11.818 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
11.818 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
11.818 * [taylor]: Taking taylor expansion of 4 in p
11.818 * [backup-simplify]: Simplify 4 into 4
11.818 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
11.818 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.818 * [taylor]: Taking taylor expansion of p in p
11.818 * [backup-simplify]: Simplify 0 into 0
11.818 * [backup-simplify]: Simplify 1 into 1
11.819 * [backup-simplify]: Simplify (* 1 1) into 1
11.819 * [backup-simplify]: Simplify (/ 1 1) into 1
11.819 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
11.819 * [taylor]: Taking taylor expansion of (pow x 2) in p
11.819 * [taylor]: Taking taylor expansion of x in p
11.819 * [backup-simplify]: Simplify x into x
11.819 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.819 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
11.820 * [backup-simplify]: Simplify (* 4 1) into 4
11.820 * [backup-simplify]: Simplify (+ 4 0) into 4
11.821 * [backup-simplify]: Simplify (sqrt 4) into 2
11.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.823 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
11.823 * [backup-simplify]: Simplify (+ 0 0) into 0
11.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
11.824 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.824 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.824 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.824 * [taylor]: Taking taylor expansion of 4 in x
11.824 * [backup-simplify]: Simplify 4 into 4
11.824 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.824 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.824 * [taylor]: Taking taylor expansion of p in x
11.824 * [backup-simplify]: Simplify p into p
11.824 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.824 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.824 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.824 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.824 * [taylor]: Taking taylor expansion of x in x
11.824 * [backup-simplify]: Simplify 0 into 0
11.824 * [backup-simplify]: Simplify 1 into 1
11.825 * [backup-simplify]: Simplify (* 1 1) into 1
11.825 * [backup-simplify]: Simplify (/ 1 1) into 1
11.826 * [backup-simplify]: Simplify (+ 0 1) into 1
11.826 * [backup-simplify]: Simplify (sqrt 1) into 1
11.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.828 * [backup-simplify]: Simplify (+ 0 0) into 0
11.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.829 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
11.829 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
11.829 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
11.829 * [taylor]: Taking taylor expansion of 4 in x
11.829 * [backup-simplify]: Simplify 4 into 4
11.829 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
11.829 * [taylor]: Taking taylor expansion of (pow p 2) in x
11.829 * [taylor]: Taking taylor expansion of p in x
11.829 * [backup-simplify]: Simplify p into p
11.829 * [backup-simplify]: Simplify (* p p) into (pow p 2)
11.829 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
11.829 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.829 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.829 * [taylor]: Taking taylor expansion of x in x
11.829 * [backup-simplify]: Simplify 0 into 0
11.829 * [backup-simplify]: Simplify 1 into 1
11.830 * [backup-simplify]: Simplify (* 1 1) into 1
11.830 * [backup-simplify]: Simplify (/ 1 1) into 1
11.831 * [backup-simplify]: Simplify (+ 0 1) into 1
11.831 * [backup-simplify]: Simplify (sqrt 1) into 1
11.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.833 * [backup-simplify]: Simplify (+ 0 0) into 0
11.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.834 * [taylor]: Taking taylor expansion of 1 in p
11.834 * [backup-simplify]: Simplify 1 into 1
11.834 * [taylor]: Taking taylor expansion of 0 in p
11.834 * [backup-simplify]: Simplify 0 into 0
11.834 * [backup-simplify]: Simplify 1 into 1
11.834 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
11.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.836 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
11.837 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
11.837 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
11.837 * [taylor]: Taking taylor expansion of 2 in p
11.837 * [backup-simplify]: Simplify 2 into 2
11.837 * [taylor]: Taking taylor expansion of (pow p 2) in p
11.837 * [taylor]: Taking taylor expansion of p in p
11.837 * [backup-simplify]: Simplify 0 into 0
11.837 * [backup-simplify]: Simplify 1 into 1
11.837 * [backup-simplify]: Simplify (* 1 1) into 1
11.837 * [backup-simplify]: Simplify (/ 2 1) into 2
11.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
11.838 * [backup-simplify]: Simplify 0 into 0
11.838 * [backup-simplify]: Simplify 0 into 0
11.838 * [backup-simplify]: Simplify 0 into 0
11.839 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
11.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
11.839 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
11.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.840 * [backup-simplify]: Simplify (+ 0 0) into 0
11.841 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
11.841 * [taylor]: Taking taylor expansion of 0 in p
11.841 * [backup-simplify]: Simplify 0 into 0
11.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.842 * [backup-simplify]: Simplify 0 into 0
11.842 * [backup-simplify]: Simplify 0 into 0
11.842 * [backup-simplify]: Simplify 0 into 0
11.842 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
11.842 * * * [progress]: simplifying candidates
11.842 * * * * [progress]: [ 1 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (pow (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) 1/3) 0.5)))>
11.843 * * * * [progress]: [ 2 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (pow (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 1) 0.5)))>
11.843 * * * * [progress]: [ 3 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (exp (log (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))))) 0.5)))>
11.843 * * * * [progress]: [ 4 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (log (exp (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))))) 0.5)))>
11.843 * * * * [progress]: [ 5 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (cbrt (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) (cbrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.843 * * * * [progress]: [ 6 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (cbrt (* (* (* 0.5 x) (* 0.5 x)) (* 0.5 x))) (cbrt (* (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
11.843 * * * * [progress]: [ 7 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 x)) (* 0.5 x))) (cbrt (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
11.843 * * * * [progress]: [ 8 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (cbrt (* (* (* 0.5 x) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 x))) (cbrt (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
11.843 * * * * [progress]: [ 9 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 x))) (cbrt (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))>
11.843 * * * * [progress]: [ 10 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (cbrt (* (* (* 0.5 x) (* 0.5 x)) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) (cbrt (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
11.843 * * * * [progress]: [ 11 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 x)) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) (cbrt (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))>
11.843 * * * * [progress]: [ 12 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (cbrt (* (* (* 0.5 x) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) (cbrt (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))>
11.843 * * * * [progress]: [ 13 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* (cbrt (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))))) (cbrt (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))))) (cbrt (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))))) 0.5)))>
11.843 * * * * [progress]: [ 14 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))))) (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))))) 0.5)))>
11.843 * * * * [progress]: [ 15 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))>
11.843 * * * * [progress]: [ 16 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (sqrt (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))))) (sqrt (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))))) 0.5)))>
11.843 * * * * [progress]: [ 17 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 1 (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))))) 0.5)))>
11.843 * * * * [progress]: [ 18 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (pow (+ (* x x) (* (* p p) 4)) 1/2))))) 0.5)))>
11.843 * * * * [progress]: [ 19 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (pow (sqrt (+ (* x x) (* (* p p) 4))) 1))))) 0.5)))>
11.843 * * * * [progress]: [ 20 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (exp (log (sqrt (+ (* x x) (* (* p p) 4))))))))) 0.5)))>
11.843 * * * * [progress]: [ 21 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (log (exp (sqrt (+ (* x x) (* (* p p) 4))))))))) 0.5)))>
11.844 * * * * [progress]: [ 22 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (* (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4))))) (cbrt (sqrt (+ (* x x) (* (* p p) 4))))))))) 0.5)))>
11.844 * * * * [progress]: [ 23 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (cbrt (* (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (+ (* x x) (* (* p p) 4))))))))) 0.5)))>
11.844 * * * * [progress]: [ 24 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (* (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4))))) (sqrt (cbrt (+ (* x x) (* (* p p) 4))))))))) 0.5)))>
11.844 * * * * [progress]: [ 25 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))))) 0.5)))>
11.844 * * * * [progress]: [ 26 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (* (sqrt 1) (sqrt (+ (* x x) (* (* p p) 4)))))))) 0.5)))>
11.844 * * * * [progress]: [ 27 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p p) 4) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* (* p p) 4)))))))))) 0.5)))>
11.844 * * * * [progress]: [ 28 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4)))) (sqrt (- (* x x) (* (* p p) 4)))))))) 0.5)))>
11.844 * * * * [progress]: [ 29 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (pow (+ (* x x) (* (* p p) 4)) (/ 1 2)))))) 0.5)))>
11.844 * * * * [progress]: [ 30 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))))) 0.5)))>
11.844 * * * * [progress]: [ 31 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (fabs (sqrt (+ (* x x) (* (* p p) 4)))))))) 0.5)))>
11.844 * * * * [progress]: [ 32 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (* 1 (sqrt (+ (* x x) (* (* p p) 4)))))))) 0.5)))>
11.844 * * * * [progress]: [ 33 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (pow (+ (* x x) (* (* p p) 4)) 1/2)))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.844 * * * * [progress]: [ 34 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (pow (sqrt (+ (* x x) (* (* p p) 4))) 1)))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.844 * * * * [progress]: [ 35 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (exp (log (sqrt (+ (* x x) (* (* p p) 4)))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.844 * * * * [progress]: [ 36 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (log (exp (sqrt (+ (* x x) (* (* p p) 4)))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.844 * * * * [progress]: [ 37 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (* (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4))))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.844 * * * * [progress]: [ 38 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (cbrt (* (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (+ (* x x) (* (* p p) 4)))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.844 * * * * [progress]: [ 39 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (* (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4))))) (sqrt (cbrt (+ (* x x) (* (* p p) 4)))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.844 * * * * [progress]: [ 40 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.844 * * * * [progress]: [ 41 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (* (sqrt 1) (sqrt (+ (* x x) (* (* p p) 4))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.844 * * * * [progress]: [ 42 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p p) 4) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* (* p p) 4))))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.845 * * * * [progress]: [ 43 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4)))) (sqrt (- (* x x) (* (* p p) 4))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.845 * * * * [progress]: [ 44 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (pow (+ (* x x) (* (* p p) 4)) (/ 1 2))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.845 * * * * [progress]: [ 45 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.845 * * * * [progress]: [ 46 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (fabs (sqrt (+ (* x x) (* (* p p) 4))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.845 * * * * [progress]: [ 47 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (* 1 (sqrt (+ (* x x) (* (* p p) 4))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.845 * * * * [progress]: [ 48 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (pow (+ (* x x) (* (* p p) 4)) 1/2))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.845 * * * * [progress]: [ 49 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (pow (sqrt (+ (* x x) (* (* p p) 4))) 1))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.845 * * * * [progress]: [ 50 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (exp (log (sqrt (+ (* x x) (* (* p p) 4))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.845 * * * * [progress]: [ 51 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (log (exp (sqrt (+ (* x x) (* (* p p) 4))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.845 * * * * [progress]: [ 52 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (* (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4))))) (cbrt (sqrt (+ (* x x) (* (* p p) 4))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.845 * * * * [progress]: [ 53 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (cbrt (* (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (+ (* x x) (* (* p p) 4))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.845 * * * * [progress]: [ 54 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (* (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4))))) (sqrt (cbrt (+ (* x x) (* (* p p) 4))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.845 * * * * [progress]: [ 55 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.845 * * * * [progress]: [ 56 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (* (sqrt 1) (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.845 * * * * [progress]: [ 57 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p p) 4) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* (* p p) 4)))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.845 * * * * [progress]: [ 58 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4)))) (sqrt (- (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.845 * * * * [progress]: [ 59 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (pow (+ (* x x) (* (* p p) 4)) (/ 1 2)))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.845 * * * * [progress]: [ 60 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.845 * * * * [progress]: [ 61 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (fabs (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.845 * * * * [progress]: [ 62 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (* 1 (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.845 * * * * [progress]: [ 63 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0 0.5)))>
11.845 * * * * [progress]: [ 64 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0 0.5)))>
11.846 * * * * [progress]: [ 65 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0 0.5)))>
11.846 * * * * [progress]: [ 66 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (* 2 p))))) 0.5)))>
11.846 * * * * [progress]: [ 67 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x x)))) 0.5)))>
11.846 * * * * [progress]: [ 68 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (* -1 x))))) 0.5)))>
11.846 * * * * [progress]: [ 69 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (* 2 p)))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.846 * * * * [progress]: [ 70 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x x))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.846 * * * * [progress]: [ 71 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (* -1 x)))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.846 * * * * [progress]: [ 72 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (* 2 p))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.846 * * * * [progress]: [ 73 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x x)) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.846 * * * * [progress]: [ 74 / 74 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (* -1 x))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
11.847 * [simplify]: Simplifying:
  (log (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))))
  (exp (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))))
  (cbrt (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))))
  (cbrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (cbrt (* (* (* 0.5 x) (* 0.5 x)) (* 0.5 x)))
  (cbrt (* (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (+ (* x x) (* (* p p) 4)))))
  (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 x)) (* 0.5 x)))
  (cbrt (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))))
  (cbrt (* (* (* 0.5 x) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 x)))
  (cbrt (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))))
  (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 x)))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4))))
  (cbrt (* (* (* 0.5 x) (* 0.5 x)) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))))
  (cbrt (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))))
  (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 x)) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4))))
  (cbrt (* (* (* 0.5 x) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4))))
  (* (cbrt (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))))) (cbrt (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))))))
  (cbrt (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))))
  (* (* (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))))) (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))))
  (sqrt (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))))
  (sqrt (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))))
  (log (sqrt (+ (* x x) (* (* p p) 4))))
  (exp (sqrt (+ (* x x) (* (* p p) 4))))
  (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4))))
  (* (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4)))))
  (sqrt (cbrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* p p) 4)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* p p) 4) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* (* p p) 4)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4))))
  (sqrt (- (* x x) (* (* p p) 4)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (log (sqrt (+ (* x x) (* (* p p) 4))))
  (exp (sqrt (+ (* x x) (* (* p p) 4))))
  (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4))))
  (* (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4)))))
  (sqrt (cbrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* p p) 4)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* p p) 4) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* (* p p) 4)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4))))
  (sqrt (- (* x x) (* (* p p) 4)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (log (sqrt (+ (* x x) (* (* p p) 4))))
  (exp (sqrt (+ (* x x) (* (* p p) 4))))
  (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4))))
  (* (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4)))))
  (sqrt (cbrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* p p) 4)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* p p) 4) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* (* p p) 4)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4))))
  (sqrt (- (* x x) (* (* p p) 4)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  0
  0
  0
  (* 2 p)
  x
  (* -1 x)
  (* 2 p)
  x
  (* -1 x)
  (* 2 p)
  x
  (* -1 x)
11.848 * * [simplify]: iteration 1: (77 enodes)
11.863 * * [simplify]: iteration 2: (176 enodes)
11.917 * * [simplify]: iteration 3: (424 enodes)
12.122 * * [simplify]: iteration 4: (1178 enodes)
13.002 * * [simplify]: Extracting #0: cost 30 inf + 0
13.003 * * [simplify]: Extracting #1: cost 209 inf + 4
13.004 * * [simplify]: Extracting #2: cost 341 inf + 1220
13.009 * * [simplify]: Extracting #3: cost 462 inf + 5755
13.038 * * [simplify]: Extracting #4: cost 250 inf + 79334
13.081 * * [simplify]: Extracting #5: cost 26 inf + 148409
13.147 * * [simplify]: Extracting #6: cost 7 inf + 155210
13.200 * * [simplify]: Extracting #7: cost 0 inf + 158987
13.252 * [simplify]: Simplified to:
  (log (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) 0.5))
  (exp (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) 0.5))
  (cbrt (/ 0.5 (/ (+ (* x x) (* (* p p) 4)) (* 0.5 (* x x)))))
  (cbrt (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) 0.5))
  (* 0.5 x)
  (sqrt (+ (* x x) (* (* p p) 4)))
  (cbrt (/ (* (* 0.5 x) (* 0.5 x)) (/ (sqrt (+ (* x x) (* (* p p) 4))) (* 0.5 x))))
  (cbrt (+ (* x x) (* (* p p) 4)))
  (cbrt (/ (* (* 0.5 x) (* 0.5 x)) (/ (sqrt (+ (* x x) (* (* p p) 4))) (* 0.5 x))))
  (cbrt (+ (* x x) (* (* p p) 4)))
  (cbrt (/ (* (* 0.5 x) (* (* 0.5 x) (* 0.5 x))) (+ (* x x) (* (* p p) 4))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4))))
  (cbrt (/ (* (* 0.5 x) (* 0.5 x)) (/ (sqrt (+ (* x x) (* (* p p) 4))) (* 0.5 x))))
  (cbrt (+ (* x x) (* (* p p) 4)))
  (cbrt (/ (* (* 0.5 x) (* (* 0.5 x) (* 0.5 x))) (+ (* x x) (* (* p p) 4))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4))))
  (cbrt (/ (* (* 0.5 x) (* (* 0.5 x) (* 0.5 x))) (+ (* x x) (* (* p p) 4))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4))))
  (* (cbrt (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) 0.5)) (cbrt (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) 0.5)))
  (cbrt (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) 0.5))
  (/ (* (* 0.5 x) (* 0.5 x)) (/ (* (sqrt (+ (* x x) (* (* p p) 4))) (+ (* x x) (* (* p p) 4))) (* 0.5 x)))
  (sqrt (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) 0.5))
  (sqrt (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) 0.5))
  (log (sqrt (+ (* x x) (* (* p p) 4))))
  (exp (sqrt (+ (* x x) (* (* p p) 4))))
  (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4))))
  (* (sqrt (+ (* x x) (* (* p p) 4))) (+ (* x x) (* (* p p) 4)))
  (fabs (cbrt (+ (* x x) (* (* p p) 4))))
  (sqrt (cbrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  1
  (sqrt (+ (* x x) (* (* p p) 4)))
  (sqrt (+ (* (* (* p (* p p)) (* p (* p p))) 64) (* (* (* x x) x) (* (* x x) x))))
  (sqrt (+ (* (* x x) (* x x)) (* (- (* (* p p) 4) (* x x)) (* (* p p) 4))))
  (sqrt (* (+ (* x x) (* (* p p) 4)) (- (* x x) (* (* p p) 4))))
  (sqrt (- (* x x) (* (* p p) 4)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (log (sqrt (+ (* x x) (* (* p p) 4))))
  (exp (sqrt (+ (* x x) (* (* p p) 4))))
  (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4))))
  (* (sqrt (+ (* x x) (* (* p p) 4))) (+ (* x x) (* (* p p) 4)))
  (fabs (cbrt (+ (* x x) (* (* p p) 4))))
  (sqrt (cbrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  1
  (sqrt (+ (* x x) (* (* p p) 4)))
  (sqrt (+ (* (* (* p (* p p)) (* p (* p p))) 64) (* (* (* x x) x) (* (* x x) x))))
  (sqrt (+ (* (* x x) (* x x)) (* (- (* (* p p) 4) (* x x)) (* (* p p) 4))))
  (sqrt (* (+ (* x x) (* (* p p) 4)) (- (* x x) (* (* p p) 4))))
  (sqrt (- (* x x) (* (* p p) 4)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (log (sqrt (+ (* x x) (* (* p p) 4))))
  (exp (sqrt (+ (* x x) (* (* p p) 4))))
  (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4))))
  (* (sqrt (+ (* x x) (* (* p p) 4))) (+ (* x x) (* (* p p) 4)))
  (fabs (cbrt (+ (* x x) (* (* p p) 4))))
  (sqrt (cbrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  1
  (sqrt (+ (* x x) (* (* p p) 4)))
  (sqrt (+ (* (* (* p (* p p)) (* p (* p p))) 64) (* (* (* x x) x) (* (* x x) x))))
  (sqrt (+ (* (* x x) (* x x)) (* (- (* (* p p) 4) (* x x)) (* (* p p) 4))))
  (sqrt (* (+ (* x x) (* (* p p) 4)) (- (* x x) (* (* p p) 4))))
  (sqrt (- (* x x) (* (* p p) 4)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  0
  0
  0
  (* 2 p)
  x
  (- x)
  (* 2 p)
  x
  (- x)
  (* 2 p)
  x
  (- x)
13.263 * * * [progress]: adding candidates to table
14.109 * [progress]: [Phase 3 of 3] Extracting.
14.109 * * [regime]: Finding splitpoints for: (#<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (* -2 p)) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))> #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (* 2 p)) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))> #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (* -2 p)) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))> #<alt (λ (p x) (sqrt (/ (- (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 0.5)) (- (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))))> #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))> #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (cbrt (* (* (sqrt (+ (* p (* 4 p)) (* x x))) (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))> #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (* (cbrt (+ (* p (* 4 p)) (* x x))) (cbrt (+ (* p (* 4 p)) (* x x))))) (sqrt (cbrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))> #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (* 2 p)) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))> #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (* 2 p)))))))))>)
14.125 * * * [regime-changes]: Trying 2 branch expressions: (x p)
14.126 * * * * [regimes]: Trying to branch on x from (#<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (* -2 p)) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))> #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (* 2 p)) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))> #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (* -2 p)) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))> #<alt (λ (p x) (sqrt (/ (- (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 0.5)) (- (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))))> #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))> #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (cbrt (* (* (sqrt (+ (* p (* 4 p)) (* x x))) (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))> #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (* (cbrt (+ (* p (* 4 p)) (* x x))) (cbrt (+ (* p (* 4 p)) (* x x))))) (sqrt (cbrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))> #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (* 2 p)) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))> #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (* 2 p)))))))))>)
14.247 * * * * [regimes]: Trying to branch on p from (#<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (* -2 p)) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))> #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (sqrt (+ (* p (* 4 p)) (* x x))))))) (- (* 0.5 0.5) (* (/ x (* 2 p)) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))> #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (* -2 p)) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))> #<alt (λ (p x) (sqrt (/ (- (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 0.5)) (- (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))))> #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))> #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (cbrt (* (* (sqrt (+ (* p (* 4 p)) (* x x))) (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))> #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (* (cbrt (+ (* p (* 4 p)) (* x x))) (cbrt (+ (* p (* 4 p)) (* x x))))) (sqrt (cbrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))> #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (* 2 p)) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))))))> #<alt (λ (p x) (sqrt (/ (* 0.5 (+ (* 0.5 0.5) (* (* (* 0.5 0.5) (/ x (+ (* p (* 4 p)) (* x x)))) (/ (* x x) (* (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))))))) (- (* 0.5 0.5) (* (/ x (sqrt (+ (* p (* 4 p)) (* x x)))) (- (* 0.5 0.5) (* (* 0.5 0.5) (/ x (* 2 p)))))))))>)
14.342 * * * [regime]: Found split indices: #<option (#s(si 4 255))>
14.342 * [simplify]: Simplifying:
  (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5))
14.342 * * [simplify]: iteration 1: (16 enodes)
14.343 * * [simplify]: iteration 2: (21 enodes)
14.343 * * [simplify]: Extracting #0: cost 1 inf + 0
14.343 * * [simplify]: Extracting #1: cost 2 inf + 0
14.343 * * [simplify]: Extracting #2: cost 4 inf + 0
14.343 * * [simplify]: Extracting #3: cost 4 inf + 1
14.344 * * [simplify]: Extracting #4: cost 6 inf + 1
14.344 * * [simplify]: Extracting #5: cost 7 inf + 1
14.344 * * [simplify]: Extracting #6: cost 9 inf + 1
14.344 * * [simplify]: Extracting #7: cost 9 inf + 2
14.344 * * [simplify]: Extracting #8: cost 11 inf + 2
14.344 * * [simplify]: Extracting #9: cost 12 inf + 43
14.344 * * [simplify]: Extracting #10: cost 12 inf + 44
14.344 * * [simplify]: Extracting #11: cost 11 inf + 45
14.344 * * [simplify]: Extracting #12: cost 8 inf + 331
14.344 * * [simplify]: Extracting #13: cost 6 inf + 777
14.344 * * [simplify]: Extracting #14: cost 4 inf + 1385
14.345 * * [simplify]: Extracting #15: cost 2 inf + 2193
14.345 * * [simplify]: Extracting #16: cost 0 inf + 3201
14.346 * [simplify]: Simplified to:
  (sqrt (+ (cbrt (* (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) 0.5) (* (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) 0.5) (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) 0.5)))) 0.5))
18.254 * [regime-testing]: Baseline error score: 14.793879707115012
18.256 * [regime-testing]: Oracle error score: 12.711899934026299
18.262 * [regime-testing]: End program error score: 14.793879707115012
18.321 * [regime-testing]: Target error score: 13.081659987167102