29.762 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.109 * * * [progress]: [2/2] Setting up program.
0.115 * [progress]: [Phase 2 of 3] Improving.
0.115 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (p x) (sqrt (* 0.5 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))))>
0.116 * [simplify]: Simplifying:
  (sqrt (* 0.5 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
0.116 * * [simplify]: iteration 1: (14 enodes)
0.121 * * [simplify]: iteration 2: (29 enodes)
0.126 * * [simplify]: iteration 3: (36 enodes)
0.131 * * [simplify]: iteration 4: (40 enodes)
0.135 * * [simplify]: iteration 5: (42 enodes)
0.141 * * [simplify]: Extracting #0: cost 1 inf + 0
0.141 * * [simplify]: Extracting #1: cost 2 inf + 0
0.141 * * [simplify]: Extracting #2: cost 5 inf + 0
0.141 * * [simplify]: Extracting #3: cost 12 inf + 1
0.141 * * [simplify]: Extracting #4: cost 11 inf + 3
0.141 * * [simplify]: Extracting #5: cost 12 inf + 45
0.141 * * [simplify]: Extracting #6: cost 15 inf + 86
0.141 * * [simplify]: Extracting #7: cost 11 inf + 171
0.142 * * [simplify]: Extracting #8: cost 9 inf + 416
0.142 * * [simplify]: Extracting #9: cost 8 inf + 619
0.142 * * [simplify]: Extracting #10: cost 0 inf + 2849
0.143 * [simplify]: Simplified to:
  (sqrt (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5))
0.149 * * [progress]: iteration 1 / 4
0.149 * * * [progress]: picking best candidate
0.152 * * * * [pick]: Picked  #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5)))>
0.152 * * * [progress]: localizing error
0.185 * * * [progress]: generating rewritten candidates
0.185 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 2)
0.192 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
0.227 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1)
0.243 * * * [progress]: generating series expansions
0.243 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 2)
0.243 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* 4 p)))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
0.243 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
0.243 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
0.243 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
0.243 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.243 * [taylor]: Taking taylor expansion of x in p
0.243 * [backup-simplify]: Simplify x into x
0.243 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
0.243 * [taylor]: Taking taylor expansion of 4 in p
0.243 * [backup-simplify]: Simplify 4 into 4
0.244 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.244 * [taylor]: Taking taylor expansion of p in p
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.244 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.244 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.244 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.244 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.244 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
0.244 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.244 * [taylor]: Taking taylor expansion of x in x
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.245 * [taylor]: Taking taylor expansion of 4 in x
0.245 * [backup-simplify]: Simplify 4 into 4
0.245 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.245 * [taylor]: Taking taylor expansion of p in x
0.245 * [backup-simplify]: Simplify p into p
0.245 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.245 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.245 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.245 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
0.245 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.245 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.245 * [backup-simplify]: Simplify (+ 0 0) into 0
0.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
0.246 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.246 * [taylor]: Taking taylor expansion of x in x
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 1 into 1
0.246 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.246 * [taylor]: Taking taylor expansion of 4 in x
0.246 * [backup-simplify]: Simplify 4 into 4
0.246 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.246 * [taylor]: Taking taylor expansion of p in x
0.246 * [backup-simplify]: Simplify p into p
0.246 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.246 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.246 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.246 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
0.246 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.246 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.247 * [backup-simplify]: Simplify (+ 0 0) into 0
0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
0.247 * [taylor]: Taking taylor expansion of (* 2 p) in p
0.247 * [taylor]: Taking taylor expansion of 2 in p
0.247 * [backup-simplify]: Simplify 2 into 2
0.247 * [taylor]: Taking taylor expansion of p in p
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 1 into 1
0.247 * [backup-simplify]: Simplify (* 2 0) into 0
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [taylor]: Taking taylor expansion of 0 in p
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
0.248 * [backup-simplify]: Simplify 2 into 2
0.248 * [backup-simplify]: Simplify (* 1 1) into 1
0.248 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
0.249 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
0.249 * [backup-simplify]: Simplify (+ 1 0) into 1
0.250 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
0.250 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
0.250 * [taylor]: Taking taylor expansion of 1/4 in p
0.250 * [backup-simplify]: Simplify 1/4 into 1/4
0.250 * [taylor]: Taking taylor expansion of p in p
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
0.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
0.251 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.252 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
0.253 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
0.253 * [backup-simplify]: Simplify (+ 0 0) into 0
0.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
0.253 * [taylor]: Taking taylor expansion of 0 in p
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
0.254 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4 (/ 1 p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
0.254 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
0.254 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.254 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.254 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.254 * [taylor]: Taking taylor expansion of 4 in p
0.254 * [backup-simplify]: Simplify 4 into 4
0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.254 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.254 * [taylor]: Taking taylor expansion of p in p
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 1 into 1
0.255 * [backup-simplify]: Simplify (* 1 1) into 1
0.255 * [backup-simplify]: Simplify (/ 1 1) into 1
0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.255 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.255 * [taylor]: Taking taylor expansion of x in p
0.255 * [backup-simplify]: Simplify x into x
0.255 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.255 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.255 * [backup-simplify]: Simplify (* 4 1) into 4
0.256 * [backup-simplify]: Simplify (+ 4 0) into 4
0.256 * [backup-simplify]: Simplify (sqrt 4) into 2
0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.257 * [backup-simplify]: Simplify (+ 0 0) into 0
0.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.258 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.258 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.258 * [taylor]: Taking taylor expansion of 4 in x
0.258 * [backup-simplify]: Simplify 4 into 4
0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.258 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.258 * [taylor]: Taking taylor expansion of p in x
0.258 * [backup-simplify]: Simplify p into p
0.258 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.258 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.258 * [taylor]: Taking taylor expansion of x in x
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 1 into 1
0.258 * [backup-simplify]: Simplify (* 1 1) into 1
0.259 * [backup-simplify]: Simplify (/ 1 1) into 1
0.259 * [backup-simplify]: Simplify (+ 0 1) into 1
0.259 * [backup-simplify]: Simplify (sqrt 1) into 1
0.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.260 * [backup-simplify]: Simplify (+ 0 0) into 0
0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.261 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.261 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.261 * [taylor]: Taking taylor expansion of 4 in x
0.261 * [backup-simplify]: Simplify 4 into 4
0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.261 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.261 * [taylor]: Taking taylor expansion of p in x
0.261 * [backup-simplify]: Simplify p into p
0.261 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.261 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.261 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.261 * [taylor]: Taking taylor expansion of x in x
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.261 * [backup-simplify]: Simplify (* 1 1) into 1
0.262 * [backup-simplify]: Simplify (/ 1 1) into 1
0.262 * [backup-simplify]: Simplify (+ 0 1) into 1
0.262 * [backup-simplify]: Simplify (sqrt 1) into 1
0.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.263 * [backup-simplify]: Simplify (+ 0 0) into 0
0.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.264 * [taylor]: Taking taylor expansion of 1 in p
0.264 * [backup-simplify]: Simplify 1 into 1
0.264 * [taylor]: Taking taylor expansion of 0 in p
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify 1 into 1
0.264 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.265 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.266 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
0.266 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
0.266 * [taylor]: Taking taylor expansion of 2 in p
0.266 * [backup-simplify]: Simplify 2 into 2
0.266 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.266 * [taylor]: Taking taylor expansion of p in p
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 1 into 1
0.266 * [backup-simplify]: Simplify (* 1 1) into 1
0.267 * [backup-simplify]: Simplify (/ 2 1) into 2
0.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
0.268 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.270 * [backup-simplify]: Simplify (+ 0 0) into 0
0.270 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
0.270 * [taylor]: Taking taylor expansion of 0 in p
0.270 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
0.272 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4 (/ 1 (- p)))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
0.272 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.272 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.272 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (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 (/ 1 (pow p 2)) in p
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 (* 1 1) into 1
0.272 * [backup-simplify]: Simplify (/ 1 1) into 1
0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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
0.273 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.273 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.273 * [backup-simplify]: Simplify (* 4 1) into 4
0.273 * [backup-simplify]: Simplify (+ 4 0) into 4
0.273 * [backup-simplify]: Simplify (sqrt 4) into 2
0.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.275 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
0.275 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.275 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.275 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.276 * [taylor]: Taking taylor expansion of 4 in x
0.276 * [backup-simplify]: Simplify 4 into 4
0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.276 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.276 * [taylor]: Taking taylor expansion of p in x
0.276 * [backup-simplify]: Simplify p into p
0.276 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.276 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.276 * [taylor]: Taking taylor expansion of x in x
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 1 into 1
0.276 * [backup-simplify]: Simplify (* 1 1) into 1
0.276 * [backup-simplify]: Simplify (/ 1 1) into 1
0.277 * [backup-simplify]: Simplify (+ 0 1) into 1
0.277 * [backup-simplify]: Simplify (sqrt 1) into 1
0.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.278 * [backup-simplify]: Simplify (+ 0 0) into 0
0.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.278 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.278 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.278 * [taylor]: Taking taylor expansion of 4 in x
0.278 * [backup-simplify]: Simplify 4 into 4
0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.278 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.278 * [taylor]: Taking taylor expansion of p in x
0.278 * [backup-simplify]: Simplify p into p
0.279 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.279 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.279 * [taylor]: Taking taylor expansion of x in x
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (* 1 1) into 1
0.279 * [backup-simplify]: Simplify (/ 1 1) into 1
0.279 * [backup-simplify]: Simplify (+ 0 1) into 1
0.280 * [backup-simplify]: Simplify (sqrt 1) into 1
0.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.281 * [backup-simplify]: Simplify (+ 0 0) into 0
0.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.281 * [taylor]: Taking taylor expansion of 1 in p
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [taylor]: Taking taylor expansion of 0 in p
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.283 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.284 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
0.284 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
0.284 * [taylor]: Taking taylor expansion of 2 in p
0.284 * [backup-simplify]: Simplify 2 into 2
0.284 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.284 * [taylor]: Taking taylor expansion of p in p
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (* 1 1) into 1
0.284 * [backup-simplify]: Simplify (/ 2 1) into 2
0.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
0.286 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
0.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (+ 0 0) into 0
0.288 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
0.288 * [taylor]: Taking taylor expansion of 0 in p
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
0.289 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
0.290 * [backup-simplify]: Simplify (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5) into (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))))
0.290 * [approximate]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in (x p) around 0
0.290 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in p
0.290 * [taylor]: Taking taylor expansion of 0.5 in p
0.290 * [backup-simplify]: Simplify 0.5 into 0.5
0.290 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in p
0.290 * [taylor]: Taking taylor expansion of 0.5 in p
0.290 * [backup-simplify]: Simplify 0.5 into 0.5
0.290 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p
0.290 * [taylor]: Taking taylor expansion of x in p
0.290 * [backup-simplify]: Simplify x into x
0.290 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p
0.290 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p
0.290 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
0.290 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.290 * [taylor]: Taking taylor expansion of x in p
0.290 * [backup-simplify]: Simplify x into x
0.290 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
0.290 * [taylor]: Taking taylor expansion of 4 in p
0.290 * [backup-simplify]: Simplify 4 into 4
0.290 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.290 * [taylor]: Taking taylor expansion of p in p
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.290 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.290 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.290 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
0.290 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.291 * [backup-simplify]: Simplify (+ 0 0) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
0.291 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x
0.291 * [taylor]: Taking taylor expansion of 0.5 in x
0.291 * [backup-simplify]: Simplify 0.5 into 0.5
0.291 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x
0.291 * [taylor]: Taking taylor expansion of 0.5 in x
0.291 * [backup-simplify]: Simplify 0.5 into 0.5
0.291 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
0.291 * [taylor]: Taking taylor expansion of x in x
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 1 into 1
0.291 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
0.291 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
0.291 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.291 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.291 * [taylor]: Taking taylor expansion of x in x
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 1 into 1
0.291 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.291 * [taylor]: Taking taylor expansion of 4 in x
0.291 * [backup-simplify]: Simplify 4 into 4
0.291 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.291 * [taylor]: Taking taylor expansion of p in x
0.291 * [backup-simplify]: Simplify p into p
0.291 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.291 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.291 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.291 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
0.291 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
0.292 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.292 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.292 * [backup-simplify]: Simplify (+ 0 0) into 0
0.292 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
0.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
0.292 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x
0.292 * [taylor]: Taking taylor expansion of 0.5 in x
0.292 * [backup-simplify]: Simplify 0.5 into 0.5
0.293 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x
0.293 * [taylor]: Taking taylor expansion of 0.5 in x
0.293 * [backup-simplify]: Simplify 0.5 into 0.5
0.293 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
0.293 * [taylor]: Taking taylor expansion of x in x
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 1 into 1
0.293 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
0.293 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
0.293 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.293 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.293 * [taylor]: Taking taylor expansion of x in x
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 1 into 1
0.293 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.293 * [taylor]: Taking taylor expansion of 4 in x
0.293 * [backup-simplify]: Simplify 4 into 4
0.293 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.293 * [taylor]: Taking taylor expansion of p in x
0.293 * [backup-simplify]: Simplify p into p
0.293 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.293 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.293 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.293 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
0.293 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
0.293 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.294 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.294 * [backup-simplify]: Simplify (+ 0 0) into 0
0.294 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
0.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
0.294 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0
0.295 * [backup-simplify]: Simplify (* 0.5 0) into 0
0.295 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5
0.295 * [taylor]: Taking taylor expansion of 0.5 in p
0.295 * [backup-simplify]: Simplify 0.5 into 0.5
0.295 * [backup-simplify]: Simplify 0.5 into 0.5
0.295 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p))
0.296 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p))
0.296 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 p))) into (* 0.25 (/ 1 p))
0.296 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 p)) in p
0.296 * [taylor]: Taking taylor expansion of 0.25 in p
0.296 * [backup-simplify]: Simplify 0.25 into 0.25
0.296 * [taylor]: Taking taylor expansion of (/ 1 p) in p
0.296 * [taylor]: Taking taylor expansion of p in p
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 1 into 1
0.296 * [backup-simplify]: Simplify (/ 1 1) into 1
0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.297 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify (* 1 1) into 1
0.298 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
0.298 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
0.298 * [backup-simplify]: Simplify (+ 1 0) into 1
0.299 * [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))))
0.299 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3))
0.300 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0
0.300 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0))) into 0
0.301 * [backup-simplify]: Simplify (+ 0 0) into 0
0.301 * [taylor]: Taking taylor expansion of 0 in p
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.302 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.303 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
0.304 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
0.304 * [backup-simplify]: Simplify (+ 0 0) into 0
0.304 * [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
0.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (pow p 3)))))) (* 2 (/ 1/2 p))) into 0
0.305 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -1/16 (pow p 3))) (+ (* 0 0) (* 0 (/ 1/2 p))))) into (- (* 1/16 (/ 1 (pow p 3))))
0.306 * [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))))
0.306 * [backup-simplify]: Simplify (+ 0 (- (* 0.03125 (/ 1 (pow p 3))))) into (- (* 0.03125 (/ 1 (pow p 3))))
0.306 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (pow p 3)))) in p
0.306 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (pow p 3))) in p
0.306 * [taylor]: Taking taylor expansion of 0.03125 in p
0.306 * [backup-simplify]: Simplify 0.03125 into 0.03125
0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow p 3)) in p
0.306 * [taylor]: Taking taylor expansion of (pow p 3) in p
0.306 * [taylor]: Taking taylor expansion of p in p
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify (* 1 1) into 1
0.306 * [backup-simplify]: Simplify (* 1 1) into 1
0.307 * [backup-simplify]: Simplify (/ 1 1) into 1
0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.312 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.313 * [backup-simplify]: Simplify (- 0) into 0
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 0.5 into 0.5
0.313 * [backup-simplify]: Simplify (+ (/ (* 0.5 (/ 1 x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4 (/ 1 p)))))) 0.5) into (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5)
0.313 * [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
0.313 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in p
0.313 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
0.313 * [taylor]: Taking taylor expansion of 0.5 in p
0.313 * [backup-simplify]: Simplify 0.5 into 0.5
0.313 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in p
0.313 * [taylor]: Taking taylor expansion of x in p
0.313 * [backup-simplify]: Simplify x into x
0.313 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.313 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
0.313 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.313 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.313 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.313 * [taylor]: Taking taylor expansion of 4 in p
0.313 * [backup-simplify]: Simplify 4 into 4
0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.313 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.313 * [taylor]: Taking taylor expansion of p in p
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.314 * [backup-simplify]: Simplify (* 1 1) into 1
0.314 * [backup-simplify]: Simplify (/ 1 1) into 1
0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.314 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.314 * [taylor]: Taking taylor expansion of x in p
0.314 * [backup-simplify]: Simplify x into x
0.314 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.314 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.314 * [backup-simplify]: Simplify (* 4 1) into 4
0.315 * [backup-simplify]: Simplify (+ 4 0) into 4
0.315 * [backup-simplify]: Simplify (/ 1 4) into 1/4
0.315 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
0.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.317 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.317 * [backup-simplify]: Simplify (+ 0 0) into 0
0.317 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
0.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
0.318 * [taylor]: Taking taylor expansion of 0.5 in p
0.318 * [backup-simplify]: Simplify 0.5 into 0.5
0.318 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x
0.318 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.318 * [taylor]: Taking taylor expansion of 0.5 in x
0.318 * [backup-simplify]: Simplify 0.5 into 0.5
0.318 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.318 * [taylor]: Taking taylor expansion of x in x
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 1 into 1
0.318 * [backup-simplify]: Simplify (/ 1 1) into 1
0.318 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.318 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.318 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.318 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.318 * [taylor]: Taking taylor expansion of 4 in x
0.318 * [backup-simplify]: Simplify 4 into 4
0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.318 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.318 * [taylor]: Taking taylor expansion of p in x
0.318 * [backup-simplify]: Simplify p into p
0.319 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.319 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.319 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.319 * [taylor]: Taking taylor expansion of x in x
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 1 into 1
0.319 * [backup-simplify]: Simplify (* 1 1) into 1
0.319 * [backup-simplify]: Simplify (/ 1 1) into 1
0.320 * [backup-simplify]: Simplify (+ 0 1) into 1
0.320 * [backup-simplify]: Simplify (/ 1 1) into 1
0.320 * [backup-simplify]: Simplify (sqrt 1) into 1
0.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.321 * [backup-simplify]: Simplify (+ 0 0) into 0
0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.322 * [taylor]: Taking taylor expansion of 0.5 in x
0.322 * [backup-simplify]: Simplify 0.5 into 0.5
0.322 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x
0.322 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.322 * [taylor]: Taking taylor expansion of 0.5 in x
0.322 * [backup-simplify]: Simplify 0.5 into 0.5
0.322 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.322 * [taylor]: Taking taylor expansion of x in x
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 1 into 1
0.323 * [backup-simplify]: Simplify (/ 1 1) into 1
0.323 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.323 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.323 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.323 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.323 * [taylor]: Taking taylor expansion of 4 in x
0.323 * [backup-simplify]: Simplify 4 into 4
0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.323 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.323 * [taylor]: Taking taylor expansion of p in x
0.323 * [backup-simplify]: Simplify p into p
0.323 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.323 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.323 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.323 * [taylor]: Taking taylor expansion of x in x
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 1 into 1
0.323 * [backup-simplify]: Simplify (* 1 1) into 1
0.324 * [backup-simplify]: Simplify (/ 1 1) into 1
0.324 * [backup-simplify]: Simplify (+ 0 1) into 1
0.324 * [backup-simplify]: Simplify (/ 1 1) into 1
0.324 * [backup-simplify]: Simplify (sqrt 1) into 1
0.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.325 * [backup-simplify]: Simplify (+ 0 0) into 0
0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.326 * [taylor]: Taking taylor expansion of 0.5 in x
0.326 * [backup-simplify]: Simplify 0.5 into 0.5
0.327 * [backup-simplify]: Simplify (* 1 1) into 1
0.327 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
0.327 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0
0.327 * [taylor]: Taking taylor expansion of 1.0 in p
0.327 * [backup-simplify]: Simplify 1.0 into 1.0
0.327 * [backup-simplify]: Simplify 1.0 into 1.0
0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.329 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
0.329 * [backup-simplify]: Simplify (+ 0 0) into 0
0.329 * [taylor]: Taking taylor expansion of 0 in p
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 (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.331 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
0.332 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.333 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
0.334 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2))))
0.334 * [backup-simplify]: Simplify (+ (- (* 1.0 (/ 1 (pow p 2)))) 0) into (- (* 1.0 (/ 1 (pow p 2))))
0.334 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow p 2)))) in p
0.334 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p
0.334 * [taylor]: Taking taylor expansion of 1.0 in p
0.334 * [backup-simplify]: Simplify 1.0 into 1.0
0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.334 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.334 * [taylor]: Taking taylor expansion of p in p
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify (* 1 1) into 1
0.335 * [backup-simplify]: Simplify (/ 1 1) into 1
0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.343 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
0.343 * [backup-simplify]: Simplify (- 0) into 0
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
0.344 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.346 * [backup-simplify]: Simplify (+ 0 0) into 0
0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0
0.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0
0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0
0.349 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0
0.349 * [backup-simplify]: Simplify (+ 0 0) into 0
0.349 * [taylor]: Taking taylor expansion of 0 in p
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 1.0 into 1.0
0.349 * [backup-simplify]: Simplify (+ (/ (* 0.5 (/ 1 (- x))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4 (/ 1 (- p))))))) 0.5) into (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))))
0.350 * [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
0.350 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in p
0.350 * [taylor]: Taking taylor expansion of 0.5 in p
0.350 * [backup-simplify]: Simplify 0.5 into 0.5
0.350 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
0.350 * [taylor]: Taking taylor expansion of 0.5 in p
0.350 * [backup-simplify]: Simplify 0.5 into 0.5
0.350 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in p
0.350 * [taylor]: Taking taylor expansion of x in p
0.350 * [backup-simplify]: Simplify x into x
0.350 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.350 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
0.350 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.350 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.350 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.350 * [taylor]: Taking taylor expansion of 4 in p
0.350 * [backup-simplify]: Simplify 4 into 4
0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.350 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.350 * [taylor]: Taking taylor expansion of p in p
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify 1 into 1
0.350 * [backup-simplify]: Simplify (* 1 1) into 1
0.350 * [backup-simplify]: Simplify (/ 1 1) into 1
0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.351 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.351 * [taylor]: Taking taylor expansion of x in p
0.351 * [backup-simplify]: Simplify x into x
0.351 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.351 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.351 * [backup-simplify]: Simplify (* 4 1) into 4
0.351 * [backup-simplify]: Simplify (+ 4 0) into 4
0.352 * [backup-simplify]: Simplify (/ 1 4) into 1/4
0.352 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.353 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.353 * [backup-simplify]: Simplify (+ 0 0) into 0
0.354 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
0.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
0.354 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x
0.354 * [taylor]: Taking taylor expansion of 0.5 in x
0.354 * [backup-simplify]: Simplify 0.5 into 0.5
0.354 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.355 * [taylor]: Taking taylor expansion of 0.5 in x
0.355 * [backup-simplify]: Simplify 0.5 into 0.5
0.355 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.355 * [taylor]: Taking taylor expansion of x in x
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 1 into 1
0.355 * [backup-simplify]: Simplify (/ 1 1) into 1
0.355 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.355 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.355 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.355 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.355 * [taylor]: Taking taylor expansion of 4 in x
0.355 * [backup-simplify]: Simplify 4 into 4
0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.355 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.355 * [taylor]: Taking taylor expansion of p in x
0.355 * [backup-simplify]: Simplify p into p
0.355 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.355 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.355 * [taylor]: Taking taylor expansion of x in x
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 1 into 1
0.355 * [backup-simplify]: Simplify (* 1 1) into 1
0.356 * [backup-simplify]: Simplify (/ 1 1) into 1
0.356 * [backup-simplify]: Simplify (+ 0 1) into 1
0.356 * [backup-simplify]: Simplify (/ 1 1) into 1
0.356 * [backup-simplify]: Simplify (sqrt 1) into 1
0.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.358 * [backup-simplify]: Simplify (+ 0 0) into 0
0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.359 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x
0.359 * [taylor]: Taking taylor expansion of 0.5 in x
0.359 * [backup-simplify]: Simplify 0.5 into 0.5
0.359 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.359 * [taylor]: Taking taylor expansion of 0.5 in x
0.359 * [backup-simplify]: Simplify 0.5 into 0.5
0.359 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.359 * [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
0.359 * [taylor]: Taking taylor expansion of (pow x 2) 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
0.360 * [backup-simplify]: Simplify (* 1 1) into 1
0.360 * [backup-simplify]: Simplify (/ 1 1) into 1
0.360 * [backup-simplify]: Simplify (+ 0 1) into 1
0.360 * [backup-simplify]: Simplify (/ 1 1) into 1
0.361 * [backup-simplify]: Simplify (sqrt 1) into 1
0.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.362 * [backup-simplify]: Simplify (+ 0 0) into 0
0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.364 * [backup-simplify]: Simplify (* 1 1) into 1
0.364 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
0.365 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
0.365 * [backup-simplify]: Simplify (+ 0.5 (- 0.5)) into 0
0.365 * [taylor]: Taking taylor expansion of 0 in p
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.368 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
0.368 * [backup-simplify]: Simplify (- 0) into 0
0.368 * [backup-simplify]: Simplify (+ 0 0) into 0
0.368 * [taylor]: Taking taylor expansion of 0 in p
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.371 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
0.373 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.375 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
0.376 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2))))
0.376 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow p 2))))) into (* 1.0 (/ 1 (pow p 2)))
0.376 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow p 2)))) into (* 1.0 (/ 1 (pow p 2)))
0.376 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p
0.376 * [taylor]: Taking taylor expansion of 1.0 in p
0.376 * [backup-simplify]: Simplify 1.0 into 1.0
0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.376 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.376 * [taylor]: Taking taylor expansion of p in p
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify 1 into 1
0.377 * [backup-simplify]: Simplify (* 1 1) into 1
0.377 * [backup-simplify]: Simplify (/ 1 1) into 1
0.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.381 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
0.381 * [backup-simplify]: Simplify 0 into 0
0.381 * [backup-simplify]: Simplify 0 into 0
0.381 * [backup-simplify]: Simplify 0 into 0
0.381 * [backup-simplify]: Simplify 0 into 0
0.381 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1)
0.381 * [backup-simplify]: Simplify (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) into (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))
0.381 * [approximate]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in (x p) around 0
0.381 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in p
0.381 * [taylor]: Taking taylor expansion of 0.5 in p
0.381 * [backup-simplify]: Simplify 0.5 into 0.5
0.381 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p
0.382 * [taylor]: Taking taylor expansion of x in p
0.382 * [backup-simplify]: Simplify x into x
0.382 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p
0.382 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p
0.382 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
0.382 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.382 * [taylor]: Taking taylor expansion of x in p
0.382 * [backup-simplify]: Simplify x into x
0.382 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
0.382 * [taylor]: Taking taylor expansion of 4 in p
0.382 * [backup-simplify]: Simplify 4 into 4
0.382 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.382 * [taylor]: Taking taylor expansion of p in p
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify 1 into 1
0.382 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.382 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.382 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.382 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
0.382 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.383 * [backup-simplify]: Simplify (+ 0 0) into 0
0.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
0.383 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x
0.383 * [taylor]: Taking taylor expansion of 0.5 in x
0.383 * [backup-simplify]: Simplify 0.5 into 0.5
0.383 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
0.383 * [taylor]: Taking taylor expansion of x in x
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 1 into 1
0.383 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
0.383 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
0.383 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.383 * [taylor]: Taking taylor expansion of x in x
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 1 into 1
0.383 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.383 * [taylor]: Taking taylor expansion of 4 in x
0.383 * [backup-simplify]: Simplify 4 into 4
0.383 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.383 * [taylor]: Taking taylor expansion of p in x
0.383 * [backup-simplify]: Simplify p into p
0.383 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.383 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.383 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.384 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
0.384 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
0.384 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.384 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.385 * [backup-simplify]: Simplify (+ 0 0) into 0
0.385 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
0.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
0.385 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x
0.385 * [taylor]: Taking taylor expansion of 0.5 in x
0.385 * [backup-simplify]: Simplify 0.5 into 0.5
0.385 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
0.385 * [taylor]: Taking taylor expansion of x in x
0.385 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify 1 into 1
0.385 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
0.385 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
0.385 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.385 * [taylor]: Taking taylor expansion of x in x
0.385 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify 1 into 1
0.385 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.385 * [taylor]: Taking taylor expansion of 4 in x
0.385 * [backup-simplify]: Simplify 4 into 4
0.385 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.385 * [taylor]: Taking taylor expansion of p in x
0.385 * [backup-simplify]: Simplify p into p
0.385 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.386 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.386 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.386 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
0.386 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
0.386 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.386 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.387 * [backup-simplify]: Simplify (+ 0 0) into 0
0.387 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
0.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
0.387 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0
0.387 * [backup-simplify]: Simplify (* 0.5 0) into 0
0.387 * [taylor]: Taking taylor expansion of 0 in p
0.387 * [backup-simplify]: Simplify 0 into 0
0.387 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p))
0.388 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p))
0.388 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 p)) in p
0.388 * [taylor]: Taking taylor expansion of 0.25 in p
0.388 * [backup-simplify]: Simplify 0.25 into 0.25
0.388 * [taylor]: Taking taylor expansion of (/ 1 p) in p
0.388 * [taylor]: Taking taylor expansion of p in p
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 1 into 1
0.388 * [backup-simplify]: Simplify (/ 1 1) into 1
0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.389 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0
0.389 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify (* 1 1) into 1
0.390 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
0.390 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
0.391 * [backup-simplify]: Simplify (+ 1 0) into 1
0.391 * [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))))
0.392 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3))
0.392 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0
0.392 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0))) into 0
0.392 * [taylor]: Taking taylor expansion of 0 in p
0.392 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.394 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4 (/ 1 p)))))) into (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))
0.394 * [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
0.394 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
0.394 * [taylor]: Taking taylor expansion of 0.5 in p
0.394 * [backup-simplify]: Simplify 0.5 into 0.5
0.394 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
0.394 * [taylor]: Taking taylor expansion of (/ 1 x) in p
0.394 * [taylor]: Taking taylor expansion of x in p
0.394 * [backup-simplify]: Simplify x into x
0.394 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.394 * [taylor]: Taking taylor expansion of (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
0.395 * [backup-simplify]: Simplify (* 1 1) into 1
0.395 * [backup-simplify]: Simplify (/ 1 1) into 1
0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.395 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.395 * [taylor]: Taking taylor expansion of x in p
0.395 * [backup-simplify]: Simplify x into x
0.395 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.395 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.395 * [backup-simplify]: Simplify (* 4 1) into 4
0.396 * [backup-simplify]: Simplify (+ 4 0) into 4
0.396 * [backup-simplify]: Simplify (/ 1 4) into 1/4
0.396 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
0.397 * [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
0.398 * [backup-simplify]: Simplify (+ 0 0) into 0
0.398 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
0.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
0.399 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.399 * [taylor]: Taking taylor expansion of 0.5 in x
0.399 * [backup-simplify]: Simplify 0.5 into 0.5
0.399 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.399 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [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)
0.400 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.400 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.400 * [taylor]: Taking taylor expansion of x in x
0.400 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify 1 into 1
0.400 * [backup-simplify]: Simplify (* 1 1) into 1
0.400 * [backup-simplify]: Simplify (/ 1 1) into 1
0.401 * [backup-simplify]: Simplify (+ 0 1) into 1
0.401 * [backup-simplify]: Simplify (/ 1 1) into 1
0.401 * [backup-simplify]: Simplify (sqrt 1) into 1
0.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.403 * [backup-simplify]: Simplify (+ 0 0) into 0
0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.403 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.404 * [taylor]: Taking taylor expansion of 0.5 in x
0.404 * [backup-simplify]: Simplify 0.5 into 0.5
0.404 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.404 * [taylor]: Taking taylor expansion of x in x
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify 1 into 1
0.404 * [backup-simplify]: Simplify (/ 1 1) into 1
0.404 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.404 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.404 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.404 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.404 * [taylor]: Taking taylor expansion of 4 in x
0.404 * [backup-simplify]: Simplify 4 into 4
0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.404 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.404 * [taylor]: Taking taylor expansion of p in x
0.404 * [backup-simplify]: Simplify p into p
0.404 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.404 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.404 * [taylor]: Taking taylor expansion of x in x
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify 1 into 1
0.405 * [backup-simplify]: Simplify (* 1 1) into 1
0.405 * [backup-simplify]: Simplify (/ 1 1) into 1
0.405 * [backup-simplify]: Simplify (+ 0 1) into 1
0.405 * [backup-simplify]: Simplify (/ 1 1) into 1
0.406 * [backup-simplify]: Simplify (sqrt 1) into 1
0.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.407 * [backup-simplify]: Simplify (+ 0 0) into 0
0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.408 * [backup-simplify]: Simplify (* 1 1) into 1
0.408 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
0.408 * [taylor]: Taking taylor expansion of 0.5 in p
0.408 * [backup-simplify]: Simplify 0.5 into 0.5
0.408 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.410 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
0.410 * [taylor]: Taking taylor expansion of 0 in p
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [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 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow p 2)))) in p
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
0.414 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify 1 into 1
0.414 * [backup-simplify]: Simplify (* 1 1) into 1
0.415 * [backup-simplify]: Simplify (/ 1 1) into 1
0.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.418 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.419 * [backup-simplify]: Simplify (- 0) into 0
0.419 * [backup-simplify]: Simplify 0 into 0
0.419 * [backup-simplify]: Simplify 0 into 0
0.419 * [backup-simplify]: Simplify 0 into 0
0.419 * [backup-simplify]: Simplify 0 into 0
0.419 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 (- x))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4 (/ 1 (- p))))))) into (* -0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))
0.419 * [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
0.419 * [taylor]: Taking taylor expansion of (* -0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
0.419 * [taylor]: Taking taylor expansion of -0.5 in p
0.419 * [backup-simplify]: Simplify -0.5 into -0.5
0.419 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in p
0.419 * [taylor]: Taking taylor expansion of x in p
0.419 * [backup-simplify]: Simplify x into x
0.419 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.419 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
0.419 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.419 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.419 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.419 * [taylor]: Taking taylor expansion of 4 in p
0.419 * [backup-simplify]: Simplify 4 into 4
0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.419 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.419 * [taylor]: Taking taylor expansion of p in p
0.419 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 1 into 1
0.420 * [backup-simplify]: Simplify (* 1 1) into 1
0.420 * [backup-simplify]: Simplify (/ 1 1) into 1
0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.420 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.421 * [backup-simplify]: Simplify (* 4 1) into 4
0.421 * [backup-simplify]: Simplify (+ 4 0) into 4
0.421 * [backup-simplify]: Simplify (/ 1 4) into 1/4
0.421 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
0.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.423 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.423 * [backup-simplify]: Simplify (+ 0 0) into 0
0.423 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
0.424 * [taylor]: Taking taylor expansion of (* -0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.424 * [taylor]: Taking taylor expansion of -0.5 in x
0.424 * [backup-simplify]: Simplify -0.5 into -0.5
0.424 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.424 * [taylor]: Taking taylor expansion of x in x
0.424 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify 1 into 1
0.424 * [backup-simplify]: Simplify (/ 1 1) into 1
0.424 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.424 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.424 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.424 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.424 * [taylor]: Taking taylor expansion of 4 in x
0.424 * [backup-simplify]: Simplify 4 into 4
0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.425 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.425 * [taylor]: Taking taylor expansion of p in x
0.425 * [backup-simplify]: Simplify p into p
0.425 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.425 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.425 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.425 * [taylor]: Taking taylor expansion of x in x
0.425 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify 1 into 1
0.425 * [backup-simplify]: Simplify (* 1 1) into 1
0.425 * [backup-simplify]: Simplify (/ 1 1) into 1
0.426 * [backup-simplify]: Simplify (+ 0 1) into 1
0.426 * [backup-simplify]: Simplify (/ 1 1) into 1
0.426 * [backup-simplify]: Simplify (sqrt 1) into 1
0.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.427 * [backup-simplify]: Simplify (+ 0 0) into 0
0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.428 * [taylor]: Taking taylor expansion of (* -0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.428 * [taylor]: Taking taylor expansion of -0.5 in x
0.428 * [backup-simplify]: Simplify -0.5 into -0.5
0.428 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.428 * [taylor]: Taking taylor expansion of x in x
0.428 * [backup-simplify]: Simplify 0 into 0
0.428 * [backup-simplify]: Simplify 1 into 1
0.428 * [backup-simplify]: Simplify (/ 1 1) into 1
0.428 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.429 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.429 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.429 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.429 * [taylor]: Taking taylor expansion of 4 in x
0.429 * [backup-simplify]: Simplify 4 into 4
0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.429 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.429 * [taylor]: Taking taylor expansion of p in x
0.429 * [backup-simplify]: Simplify p into p
0.429 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.429 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.429 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.429 * [taylor]: Taking taylor expansion of x in x
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify 1 into 1
0.429 * [backup-simplify]: Simplify (* 1 1) into 1
0.429 * [backup-simplify]: Simplify (/ 1 1) into 1
0.430 * [backup-simplify]: Simplify (+ 0 1) into 1
0.430 * [backup-simplify]: Simplify (/ 1 1) into 1
0.430 * [backup-simplify]: Simplify (sqrt 1) into 1
0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.431 * [backup-simplify]: Simplify (+ 0 0) into 0
0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.433 * [backup-simplify]: Simplify (* 1 1) into 1
0.433 * [backup-simplify]: Simplify (* -0.5 1) into -0.5
0.433 * [taylor]: Taking taylor expansion of -0.5 in p
0.433 * [backup-simplify]: Simplify -0.5 into -0.5
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.434 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 1)) into 0
0.434 * [taylor]: Taking taylor expansion of 0 in p
0.434 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.436 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
0.437 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.438 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
0.439 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (* 1.0 (/ 1 (pow p 2)))
0.439 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p
0.439 * [taylor]: Taking taylor expansion of 1.0 in p
0.439 * [backup-simplify]: Simplify 1.0 into 1.0
0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.439 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.439 * [taylor]: Taking taylor expansion of p in p
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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.447 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * * * [progress]: simplifying candidates
0.448 * * * * [progress]: [ 1 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) (pow (+ (* x x) (* p (* 4 p))) 1/2)) 0.5)))>
0.448 * * * * [progress]: [ 2 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) (pow (sqrt (+ (* x x) (* p (* 4 p)))) 1)) 0.5)))>
0.448 * * * * [progress]: [ 3 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) (exp (log (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
0.448 * * * * [progress]: [ 4 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) (log (exp (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
0.448 * * * * [progress]: [ 5 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) (* (* (cbrt (sqrt (+ (* x x) (* p (* 4 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4 p)))))) (cbrt (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
0.448 * * * * [progress]: [ 6 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) (cbrt (* (* (sqrt (+ (* x x) (* p (* 4 p)))) (sqrt (+ (* x x) (* p (* 4 p))))) (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
0.448 * * * * [progress]: [ 7 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) (* (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p)))))) (sqrt (cbrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
0.448 * * * * [progress]: [ 8 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) (* (sqrt (sqrt (+ (* x x) (* p (* 4 p))))) (sqrt (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
0.448 * * * * [progress]: [ 9 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) (* (sqrt 1) (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))>
0.448 * * * * [progress]: [ 10 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) (/ (sqrt (+ (pow (* x x) 3) (pow (* p (* 4 p)) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* p (* 4 p)))))))) 0.5)))>
0.448 * * * * [progress]: [ 11 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) (/ (sqrt (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* p (* 4 p))))) (sqrt (- (* x x) (* p (* 4 p)))))) 0.5)))>
0.448 * * * * [progress]: [ 12 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) (pow (+ (* x x) (* p (* 4 p))) (/ 1 2))) 0.5)))>
0.448 * * * * [progress]: [ 13 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) (* (sqrt (sqrt (+ (* x x) (* p (* 4 p))))) (sqrt (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
0.448 * * * * [progress]: [ 14 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) (fabs (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))>
0.448 * * * * [progress]: [ 15 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) (* 1 (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))>
0.448 * * * * [progress]: [ 16 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) (posit16->real (real->posit16 (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
0.448 * * * * [progress]: [ 17 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (log (* (exp (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p)))))) (exp 0.5)))))>
0.449 * * * * [progress]: [ 18 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (pow (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5) 1)))>
0.449 * * * * [progress]: [ 19 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (exp (log (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5)))))>
0.449 * * * * [progress]: [ 20 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (log (exp (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5)))))>
0.449 * * * * [progress]: [ 21 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (* (* (cbrt (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5)) (cbrt (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5))) (cbrt (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5)))))>
0.449 * * * * [progress]: [ 22 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (cbrt (* (* (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5) (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5)) (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5)))))>
0.449 * * * * [progress]: [ 23 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (* (sqrt (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5)) (sqrt (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5)))))>
0.449 * * * * [progress]: [ 24 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (pow (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 3) (pow 0.5 3)) (+ (* (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p)))))) (- (* 0.5 0.5) (* (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5))))))>
0.449 * * * * [progress]: [ 25 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (* 1 (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5))))>
0.449 * * * * [progress]: [ 26 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (- (* (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 0.5)) (- (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5))))>
0.449 * * * * [progress]: [ 27 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (* 1 (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5))))>
0.449 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (posit16->real (real->posit16 (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5)))))>
0.449 * * * * [progress]: [ 29 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0.5 (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))))))>
0.449 * * * * [progress]: [ 30 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (pow (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 1) 0.5)))>
0.449 * * * * [progress]: [ 31 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (exp (- (+ (log 0.5) (log x)) (log (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
0.449 * * * * [progress]: [ 32 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (exp (- (log (* 0.5 x)) (log (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
0.449 * * * * [progress]: [ 33 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (exp (log (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
0.449 * * * * [progress]: [ 34 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (log (exp (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
0.449 * * * * [progress]: [ 35 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (/ (* (* (* 0.5 0.5) 0.5) (* (* x x) x)) (* (* (sqrt (+ (* x x) (* p (* 4 p)))) (sqrt (+ (* x x) (* p (* 4 p))))) (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
0.449 * * * * [progress]: [ 36 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (/ (* (* (* 0.5 x) (* 0.5 x)) (* 0.5 x)) (* (* (sqrt (+ (* x x) (* p (* 4 p)))) (sqrt (+ (* x x) (* p (* 4 p))))) (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
0.449 * * * * [progress]: [ 37 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* (cbrt (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p)))))) (cbrt (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))))) (cbrt (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
0.449 * * * * [progress]: [ 38 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p)))))) (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
0.449 * * * * [progress]: [ 39 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (sqrt (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p)))))) (sqrt (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
0.449 * * * * [progress]: [ 40 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (- (* 0.5 x)) (- (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))>
0.450 * * * * [progress]: [ 41 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (/ 0.5 (* (cbrt (sqrt (+ (* x x) (* p (* 4 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4 p))))))) (/ x (cbrt (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
0.450 * * * * [progress]: [ 42 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (/ 0.5 (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p))))))) (/ x (sqrt (cbrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
0.450 * * * * [progress]: [ 43 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (/ 0.5 (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))) (/ x (sqrt (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
0.450 * * * * [progress]: [ 44 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (/ 0.5 (sqrt 1)) (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))>
0.450 * * * * [progress]: [ 45 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (/ 0.5 (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))) (/ x (sqrt (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
0.450 * * * * [progress]: [ 46 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (/ 0.5 1) (/ x (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))>
0.450 * * * * [progress]: [ 47 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 1 (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))>
0.450 * * * * [progress]: [ 48 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 x) (/ 1 (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))>
0.450 * * * * [progress]: [ 49 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ 1 (/ (sqrt (+ (* x x) (* p (* 4 p)))) (* 0.5 x))) 0.5)))>
0.450 * * * * [progress]: [ 50 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (/ (* 0.5 x) (* (cbrt (sqrt (+ (* x x) (* p (* 4 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4 p))))))) (cbrt (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))>
0.450 * * * * [progress]: [ 51 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (/ (* 0.5 x) (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p))))))) (sqrt (cbrt (+ (* x x) (* p (* 4 p)))))) 0.5)))>
0.450 * * * * [progress]: [ 52 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (/ (* 0.5 x) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))>
0.450 * * * * [progress]: [ 53 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (/ (* 0.5 x) (sqrt 1)) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5)))>
0.450 * * * * [progress]: [ 54 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (/ (* 0.5 x) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))) (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)))>
0.450 * * * * [progress]: [ 55 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (/ (* 0.5 x) 1) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5)))>
0.450 * * * * [progress]: [ 56 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ 0.5 (/ (sqrt (+ (* x x) (* p (* 4 p)))) x)) 0.5)))>
0.450 * * * * [progress]: [ 57 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (/ (* 0.5 x) (sqrt (+ (pow (* x x) 3) (pow (* p (* 4 p)) 3)))) (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* p (* 4 p))))))) 0.5)))>
0.451 * * * * [progress]: [ 58 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (/ (* 0.5 x) (sqrt (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* p (* 4 p)))))) (sqrt (- (* x x) (* p (* 4 p))))) 0.5)))>
0.451 * * * * [progress]: [ 59 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (posit16->real (real->posit16 (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))))) 0.5)))>
0.451 * * * * [progress]: [ 60 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) (* 2 p)) 0.5)))>
0.451 * * * * [progress]: [ 61 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) x) 0.5)))>
0.451 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) (* -1 x)) 0.5)))>
0.451 * * * * [progress]: [ 63 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt 0.5))>
0.451 * * * * [progress]: [ 64 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt 1.0))>
0.451 * * * * [progress]: [ 65 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt 0))>
0.451 * * * * [progress]: [ 66 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0 0.5)))>
0.451 * * * * [progress]: [ 67 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0 0.5)))>
0.451 * * * * [progress]: [ 68 / 68 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0 0.5)))>
0.452 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* p (* 4 p)))))
  (exp (sqrt (+ (* x x) (* p (* 4 p)))))
  (* (cbrt (sqrt (+ (* x x) (* p (* 4 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4 p))))))
  (cbrt (sqrt (+ (* x x) (* p (* 4 p)))))
  (* (* (sqrt (+ (* x x) (* p (* 4 p)))) (sqrt (+ (* x x) (* p (* 4 p))))) (sqrt (+ (* x x) (* p (* 4 p)))))
  (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p))))))
  (sqrt (cbrt (+ (* x x) (* p (* 4 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))
  (sqrt 1)
  (sqrt (+ (* x x) (* p (* 4 p))))
  (sqrt (+ (pow (* x x) 3) (pow (* p (* 4 p)) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* p (* 4 p))))))
  (sqrt (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* p (* 4 p)))))
  (sqrt (- (* x x) (* p (* 4 p))))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))
  (sqrt (sqrt (+ (* x x) (* p (* 4 p)))))
  (real->posit16 (sqrt (+ (* x x) (* p (* 4 p)))))
  (* (exp (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p)))))) (exp 0.5))
  (log (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5))
  (exp (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5))
  (* (cbrt (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5)) (cbrt (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5)))
  (cbrt (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5))
  (* (* (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5) (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5)) (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5))
  (sqrt (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5))
  (sqrt (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5))
  (+ (pow (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 3) (pow 0.5 3))
  (+ (* (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p)))))) (- (* 0.5 0.5) (* (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5)))
  (- (* (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p)))))) (* 0.5 0.5))
  (- (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5)
  (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5)
  (real->posit16 (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5))
  (- (+ (log 0.5) (log x)) (log (sqrt (+ (* x x) (* p (* 4 p))))))
  (- (log (* 0.5 x)) (log (sqrt (+ (* x x) (* p (* 4 p))))))
  (log (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))))
  (exp (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))))
  (/ (* (* (* 0.5 0.5) 0.5) (* (* x x) x)) (* (* (sqrt (+ (* x x) (* p (* 4 p)))) (sqrt (+ (* x x) (* p (* 4 p))))) (sqrt (+ (* x x) (* p (* 4 p))))))
  (/ (* (* (* 0.5 x) (* 0.5 x)) (* 0.5 x)) (* (* (sqrt (+ (* x x) (* p (* 4 p)))) (sqrt (+ (* x x) (* p (* 4 p))))) (sqrt (+ (* x x) (* p (* 4 p))))))
  (* (cbrt (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p)))))) (cbrt (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p)))))))
  (cbrt (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))))
  (* (* (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))) (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p)))))) (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))))
  (sqrt (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))))
  (sqrt (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))))
  (- (* 0.5 x))
  (- (sqrt (+ (* x x) (* p (* 4 p)))))
  (/ 0.5 (* (cbrt (sqrt (+ (* x x) (* p (* 4 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4 p)))))))
  (/ x (cbrt (sqrt (+ (* x x) (* p (* 4 p))))))
  (/ 0.5 (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p)))))))
  (/ x (sqrt (cbrt (+ (* x x) (* p (* 4 p))))))
  (/ 0.5 (sqrt (sqrt (+ (* x x) (* p (* 4 p))))))
  (/ x (sqrt (sqrt (+ (* x x) (* p (* 4 p))))))
  (/ 0.5 (sqrt 1))
  (/ x (sqrt (+ (* x x) (* p (* 4 p)))))
  (/ 0.5 (sqrt (sqrt (+ (* x x) (* p (* 4 p))))))
  (/ x (sqrt (sqrt (+ (* x x) (* p (* 4 p))))))
  (/ 0.5 1)
  (/ x (sqrt (+ (* x x) (* p (* 4 p)))))
  (/ 1 (sqrt (+ (* x x) (* p (* 4 p)))))
  (/ (sqrt (+ (* x x) (* p (* 4 p)))) (* 0.5 x))
  (/ (* 0.5 x) (* (cbrt (sqrt (+ (* x x) (* p (* 4 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4 p)))))))
  (/ (* 0.5 x) (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p)))))))
  (/ (* 0.5 x) (sqrt (sqrt (+ (* x x) (* p (* 4 p))))))
  (/ (* 0.5 x) (sqrt 1))
  (/ (* 0.5 x) (sqrt (sqrt (+ (* x x) (* p (* 4 p))))))
  (/ (* 0.5 x) 1)
  (/ (sqrt (+ (* x x) (* p (* 4 p)))) x)
  (/ (* 0.5 x) (sqrt (+ (pow (* x x) 3) (pow (* p (* 4 p)) 3))))
  (/ (* 0.5 x) (sqrt (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* p (* 4 p))))))
  (real->posit16 (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p))))))
  (* 2 p)
  x
  (* -1 x)
  0.5
  1.0
  0
  0
  0
  0
0.453 * * [simplify]: iteration 1: (109 enodes)
0.490 * * [simplify]: iteration 2: (268 enodes)
0.597 * * [simplify]: iteration 3: (828 enodes)
1.152 * * [simplify]: Extracting #0: cost 59 inf + 0
1.153 * * [simplify]: Extracting #1: cost 374 inf + 6
1.158 * * [simplify]: Extracting #2: cost 637 inf + 1717
1.170 * * [simplify]: Extracting #3: cost 648 inf + 22547
1.203 * * [simplify]: Extracting #4: cost 428 inf + 90351
1.261 * * [simplify]: Extracting #5: cost 69 inf + 217899
1.316 * * [simplify]: Extracting #6: cost 0 inf + 245476
1.382 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p))))
  (fabs (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  1
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)) (* (* x (* x x)) (* x (* x x)))))
  (sqrt (+ (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (- (* x x) (* (* p 4) p)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (log (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (exp (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (* (cbrt (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))))
  (cbrt (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (* (* (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))) (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))) (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (sqrt (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (sqrt (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5)))
  (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))))
  (- (/ (* (* x 0.5) (* x 0.5)) (+ (* x x) (* (* p 4) p))) (* 0.5 0.5))
  (- (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) 0.5)
  (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))
  (real->posit16 (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (log (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))
  (log (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))
  (log (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))
  (exp (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))
  (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5))
  (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5))
  (* (cbrt (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (cbrt (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))
  (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5))
  (sqrt (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))
  (sqrt (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))
  (* 0.5 (- x))
  (- (sqrt (+ (* x x) (* (* p 4) p))))
  (/ 0.5 (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))
  (/ x (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (/ 0.5 (fabs (cbrt (+ (* x x) (* (* p 4) p)))))
  (/ x (sqrt (cbrt (+ (* x x) (* (* p 4) p)))))
  (/ 0.5 (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (/ x (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))
  0.5
  (/ x (sqrt (+ (* x x) (* (* p 4) p))))
  (/ 0.5 (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (/ x (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))
  0.5
  (/ x (sqrt (+ (* x x) (* (* p 4) p))))
  (/ 1 (sqrt (+ (* x x) (* (* p 4) p))))
  (/ (sqrt (+ (* x x) (* (* p 4) p))) (* x 0.5))
  (/ 0.5 (/ (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))))
  (* x (/ 0.5 (fabs (cbrt (+ (* x x) (* (* p 4) p))))))
  (* (/ 0.5 (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) x)
  (* x 0.5)
  (* (/ 0.5 (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) x)
  (* x 0.5)
  (/ (sqrt (+ (* x x) (* (* p 4) p))) x)
  (/ (* x 0.5) (sqrt (+ (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)) (* (* x (* x x)) (* x (* x x))))))
  (/ (* x 0.5) (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))))
  (real->posit16 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))
  (* p 2)
  x
  (- x)
  0.5
  1.0
  0
  0
  0
  0
1.388 * * * [progress]: adding candidates to table
2.173 * * [progress]: iteration 2 / 4
2.174 * * * [progress]: picking best candidate
2.188 * * * * [pick]: Picked  #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.188 * * * [progress]: localizing error
2.301 * * * [progress]: generating rewritten candidates
2.301 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2 2 2 2)
2.325 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 2 2)
2.336 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 2 1)
2.348 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2)
2.358 * * * [progress]: generating series expansions
2.358 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2 2 2 2)
2.358 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
2.358 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
2.358 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
2.358 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
2.358 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.358 * [taylor]: Taking taylor expansion of x in p
2.358 * [backup-simplify]: Simplify x into x
2.358 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
2.358 * [taylor]: Taking taylor expansion of 4 in p
2.358 * [backup-simplify]: Simplify 4 into 4
2.359 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.359 * [taylor]: Taking taylor expansion of p in p
2.359 * [backup-simplify]: Simplify 0 into 0
2.359 * [backup-simplify]: Simplify 1 into 1
2.359 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.359 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.359 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.359 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.360 * [backup-simplify]: Simplify (+ 0 0) into 0
2.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.360 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
2.360 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
2.360 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.360 * [taylor]: Taking taylor expansion of x in x
2.360 * [backup-simplify]: Simplify 0 into 0
2.360 * [backup-simplify]: Simplify 1 into 1
2.360 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
2.360 * [taylor]: Taking taylor expansion of 4 in x
2.360 * [backup-simplify]: Simplify 4 into 4
2.360 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.360 * [taylor]: Taking taylor expansion of p in x
2.360 * [backup-simplify]: Simplify p into p
2.360 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.360 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
2.360 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
2.361 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
2.361 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.361 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
2.362 * [backup-simplify]: Simplify (+ 0 0) into 0
2.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
2.362 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
2.362 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
2.362 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.362 * [taylor]: Taking taylor expansion of x in x
2.362 * [backup-simplify]: Simplify 0 into 0
2.362 * [backup-simplify]: Simplify 1 into 1
2.362 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
2.362 * [taylor]: Taking taylor expansion of 4 in x
2.362 * [backup-simplify]: Simplify 4 into 4
2.362 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.362 * [taylor]: Taking taylor expansion of p in x
2.362 * [backup-simplify]: Simplify p into p
2.362 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.362 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
2.363 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
2.363 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
2.363 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.363 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
2.364 * [backup-simplify]: Simplify (+ 0 0) into 0
2.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
2.364 * [taylor]: Taking taylor expansion of (* 2 p) in p
2.364 * [taylor]: Taking taylor expansion of 2 in p
2.364 * [backup-simplify]: Simplify 2 into 2
2.364 * [taylor]: Taking taylor expansion of p in p
2.364 * [backup-simplify]: Simplify 0 into 0
2.364 * [backup-simplify]: Simplify 1 into 1
2.365 * [backup-simplify]: Simplify (* 2 0) into 0
2.365 * [backup-simplify]: Simplify 0 into 0
2.365 * [taylor]: Taking taylor expansion of 0 in p
2.365 * [backup-simplify]: Simplify 0 into 0
2.365 * [backup-simplify]: Simplify 0 into 0
2.366 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
2.366 * [backup-simplify]: Simplify 2 into 2
2.366 * [backup-simplify]: Simplify (* 1 1) into 1
2.366 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
2.367 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
2.368 * [backup-simplify]: Simplify (+ 1 0) into 1
2.369 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
2.369 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
2.369 * [taylor]: Taking taylor expansion of 1/4 in p
2.369 * [backup-simplify]: Simplify 1/4 into 1/4
2.369 * [taylor]: Taking taylor expansion of p in p
2.369 * [backup-simplify]: Simplify 0 into 0
2.369 * [backup-simplify]: Simplify 1 into 1
2.369 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
2.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
2.370 * [backup-simplify]: Simplify 0 into 0
2.370 * [backup-simplify]: Simplify 0 into 0
2.371 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
2.372 * [backup-simplify]: Simplify 0 into 0
2.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.373 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
2.374 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
2.375 * [backup-simplify]: Simplify (+ 0 0) into 0
2.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
2.375 * [taylor]: Taking taylor expansion of 0 in p
2.375 * [backup-simplify]: Simplify 0 into 0
2.375 * [backup-simplify]: Simplify 0 into 0
2.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.376 * [backup-simplify]: Simplify 0 into 0
2.376 * [backup-simplify]: Simplify 0 into 0
2.376 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
2.377 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
2.377 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
2.377 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
2.377 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
2.377 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
2.377 * [taylor]: Taking taylor expansion of 4 in p
2.377 * [backup-simplify]: Simplify 4 into 4
2.377 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
2.377 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.377 * [taylor]: Taking taylor expansion of p in p
2.377 * [backup-simplify]: Simplify 0 into 0
2.377 * [backup-simplify]: Simplify 1 into 1
2.377 * [backup-simplify]: Simplify (* 1 1) into 1
2.378 * [backup-simplify]: Simplify (/ 1 1) into 1
2.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
2.378 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.378 * [taylor]: Taking taylor expansion of x in p
2.378 * [backup-simplify]: Simplify x into x
2.378 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.378 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.378 * [backup-simplify]: Simplify (* 4 1) into 4
2.379 * [backup-simplify]: Simplify (+ 4 0) into 4
2.379 * [backup-simplify]: Simplify (sqrt 4) into 2
2.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.380 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
2.380 * [backup-simplify]: Simplify (+ 0 0) into 0
2.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
2.381 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.381 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.381 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
2.381 * [taylor]: Taking taylor expansion of 4 in x
2.381 * [backup-simplify]: Simplify 4 into 4
2.381 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.381 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.381 * [taylor]: Taking taylor expansion of p in x
2.381 * [backup-simplify]: Simplify p into p
2.381 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.381 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.381 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.381 * [taylor]: Taking taylor expansion of x in x
2.381 * [backup-simplify]: Simplify 0 into 0
2.381 * [backup-simplify]: Simplify 1 into 1
2.381 * [backup-simplify]: Simplify (* 1 1) into 1
2.382 * [backup-simplify]: Simplify (/ 1 1) into 1
2.382 * [backup-simplify]: Simplify (+ 0 1) into 1
2.382 * [backup-simplify]: Simplify (sqrt 1) into 1
2.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.383 * [backup-simplify]: Simplify (+ 0 0) into 0
2.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.384 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.384 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.384 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
2.384 * [taylor]: Taking taylor expansion of 4 in x
2.384 * [backup-simplify]: Simplify 4 into 4
2.384 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.384 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.384 * [taylor]: Taking taylor expansion of p in x
2.384 * [backup-simplify]: Simplify p into p
2.384 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.384 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.384 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.384 * [taylor]: Taking taylor expansion of x in x
2.384 * [backup-simplify]: Simplify 0 into 0
2.384 * [backup-simplify]: Simplify 1 into 1
2.384 * [backup-simplify]: Simplify (* 1 1) into 1
2.385 * [backup-simplify]: Simplify (/ 1 1) into 1
2.385 * [backup-simplify]: Simplify (+ 0 1) into 1
2.385 * [backup-simplify]: Simplify (sqrt 1) into 1
2.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.386 * [backup-simplify]: Simplify (+ 0 0) into 0
2.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.387 * [taylor]: Taking taylor expansion of 1 in p
2.387 * [backup-simplify]: Simplify 1 into 1
2.387 * [taylor]: Taking taylor expansion of 0 in p
2.387 * [backup-simplify]: Simplify 0 into 0
2.387 * [backup-simplify]: Simplify 1 into 1
2.387 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
2.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.388 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
2.389 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
2.389 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
2.389 * [taylor]: Taking taylor expansion of 2 in p
2.389 * [backup-simplify]: Simplify 2 into 2
2.389 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.389 * [taylor]: Taking taylor expansion of p in p
2.389 * [backup-simplify]: Simplify 0 into 0
2.389 * [backup-simplify]: Simplify 1 into 1
2.389 * [backup-simplify]: Simplify (* 1 1) into 1
2.390 * [backup-simplify]: Simplify (/ 2 1) into 2
2.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
2.391 * [backup-simplify]: Simplify 0 into 0
2.391 * [backup-simplify]: Simplify 0 into 0
2.391 * [backup-simplify]: Simplify 0 into 0
2.391 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
2.391 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
2.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.393 * [backup-simplify]: Simplify (+ 0 0) into 0
2.393 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
2.393 * [taylor]: Taking taylor expansion of 0 in p
2.393 * [backup-simplify]: Simplify 0 into 0
2.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.394 * [backup-simplify]: Simplify 0 into 0
2.394 * [backup-simplify]: Simplify 0 into 0
2.394 * [backup-simplify]: Simplify 0 into 0
2.394 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.394 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
2.395 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
2.395 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
2.395 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
2.395 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
2.395 * [taylor]: Taking taylor expansion of 4 in p
2.395 * [backup-simplify]: Simplify 4 into 4
2.395 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
2.395 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.395 * [taylor]: Taking taylor expansion of p in p
2.395 * [backup-simplify]: Simplify 0 into 0
2.395 * [backup-simplify]: Simplify 1 into 1
2.395 * [backup-simplify]: Simplify (* 1 1) into 1
2.395 * [backup-simplify]: Simplify (/ 1 1) into 1
2.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
2.395 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.395 * [taylor]: Taking taylor expansion of x in p
2.395 * [backup-simplify]: Simplify x into x
2.395 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.395 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.396 * [backup-simplify]: Simplify (* 4 1) into 4
2.396 * [backup-simplify]: Simplify (+ 4 0) into 4
2.396 * [backup-simplify]: Simplify (sqrt 4) into 2
2.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.397 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
2.398 * [backup-simplify]: Simplify (+ 0 0) into 0
2.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
2.398 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.398 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.398 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
2.398 * [taylor]: Taking taylor expansion of 4 in x
2.398 * [backup-simplify]: Simplify 4 into 4
2.398 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.398 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.398 * [taylor]: Taking taylor expansion of p in x
2.398 * [backup-simplify]: Simplify p into p
2.398 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.399 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.399 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.399 * [taylor]: Taking taylor expansion of x in x
2.399 * [backup-simplify]: Simplify 0 into 0
2.399 * [backup-simplify]: Simplify 1 into 1
2.399 * [backup-simplify]: Simplify (* 1 1) into 1
2.399 * [backup-simplify]: Simplify (/ 1 1) into 1
2.400 * [backup-simplify]: Simplify (+ 0 1) into 1
2.400 * [backup-simplify]: Simplify (sqrt 1) into 1
2.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.401 * [backup-simplify]: Simplify (+ 0 0) into 0
2.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.401 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.401 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.401 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
2.401 * [taylor]: Taking taylor expansion of 4 in x
2.401 * [backup-simplify]: Simplify 4 into 4
2.401 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.401 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.401 * [taylor]: Taking taylor expansion of p in x
2.402 * [backup-simplify]: Simplify p into p
2.402 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.402 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.402 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.402 * [taylor]: Taking taylor expansion of x in x
2.402 * [backup-simplify]: Simplify 0 into 0
2.402 * [backup-simplify]: Simplify 1 into 1
2.402 * [backup-simplify]: Simplify (* 1 1) into 1
2.402 * [backup-simplify]: Simplify (/ 1 1) into 1
2.402 * [backup-simplify]: Simplify (+ 0 1) into 1
2.403 * [backup-simplify]: Simplify (sqrt 1) into 1
2.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.404 * [backup-simplify]: Simplify (+ 0 0) into 0
2.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.404 * [taylor]: Taking taylor expansion of 1 in p
2.404 * [backup-simplify]: Simplify 1 into 1
2.404 * [taylor]: Taking taylor expansion of 0 in p
2.404 * [backup-simplify]: Simplify 0 into 0
2.404 * [backup-simplify]: Simplify 1 into 1
2.405 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
2.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.406 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
2.407 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
2.407 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
2.407 * [taylor]: Taking taylor expansion of 2 in p
2.407 * [backup-simplify]: Simplify 2 into 2
2.407 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.407 * [taylor]: Taking taylor expansion of p in p
2.407 * [backup-simplify]: Simplify 0 into 0
2.407 * [backup-simplify]: Simplify 1 into 1
2.407 * [backup-simplify]: Simplify (* 1 1) into 1
2.407 * [backup-simplify]: Simplify (/ 2 1) into 2
2.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
2.408 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
2.409 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
2.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.410 * [backup-simplify]: Simplify (+ 0 0) into 0
2.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
2.411 * [taylor]: Taking taylor expansion of 0 in p
2.411 * [backup-simplify]: Simplify 0 into 0
2.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.412 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 2 2)
2.413 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
2.413 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
2.413 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
2.413 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
2.413 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.413 * [taylor]: Taking taylor expansion of x in p
2.413 * [backup-simplify]: Simplify x into x
2.413 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
2.413 * [taylor]: Taking taylor expansion of 4 in p
2.413 * [backup-simplify]: Simplify 4 into 4
2.413 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.413 * [taylor]: Taking taylor expansion of p in p
2.413 * [backup-simplify]: Simplify 0 into 0
2.413 * [backup-simplify]: Simplify 1 into 1
2.413 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.413 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.413 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.413 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.413 * [backup-simplify]: Simplify (+ 0 0) into 0
2.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.413 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
2.413 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
2.413 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.413 * [taylor]: Taking taylor expansion of x in x
2.413 * [backup-simplify]: Simplify 0 into 0
2.414 * [backup-simplify]: Simplify 1 into 1
2.414 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
2.414 * [taylor]: Taking taylor expansion of 4 in x
2.414 * [backup-simplify]: Simplify 4 into 4
2.414 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.414 * [taylor]: Taking taylor expansion of p in x
2.414 * [backup-simplify]: Simplify p into p
2.414 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.414 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
2.414 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
2.414 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
2.414 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.414 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
2.414 * [backup-simplify]: Simplify (+ 0 0) into 0
2.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
2.415 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
2.415 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
2.415 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.415 * [taylor]: Taking taylor expansion of x in x
2.415 * [backup-simplify]: Simplify 0 into 0
2.415 * [backup-simplify]: Simplify 1 into 1
2.415 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
2.415 * [taylor]: Taking taylor expansion of 4 in x
2.415 * [backup-simplify]: Simplify 4 into 4
2.415 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.415 * [taylor]: Taking taylor expansion of p in x
2.415 * [backup-simplify]: Simplify p into p
2.415 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.415 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
2.415 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
2.415 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
2.415 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.415 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
2.416 * [backup-simplify]: Simplify (+ 0 0) into 0
2.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
2.416 * [taylor]: Taking taylor expansion of (* 2 p) in p
2.416 * [taylor]: Taking taylor expansion of 2 in p
2.416 * [backup-simplify]: Simplify 2 into 2
2.416 * [taylor]: Taking taylor expansion of p in p
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify 1 into 1
2.416 * [backup-simplify]: Simplify (* 2 0) into 0
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [taylor]: Taking taylor expansion of 0 in p
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify 0 into 0
2.417 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
2.417 * [backup-simplify]: Simplify 2 into 2
2.417 * [backup-simplify]: Simplify (* 1 1) into 1
2.417 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
2.418 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
2.418 * [backup-simplify]: Simplify (+ 1 0) into 1
2.419 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
2.419 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
2.419 * [taylor]: Taking taylor expansion of 1/4 in p
2.419 * [backup-simplify]: Simplify 1/4 into 1/4
2.419 * [taylor]: Taking taylor expansion of p in p
2.419 * [backup-simplify]: Simplify 0 into 0
2.419 * [backup-simplify]: Simplify 1 into 1
2.419 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
2.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
2.420 * [backup-simplify]: Simplify 0 into 0
2.420 * [backup-simplify]: Simplify 0 into 0
2.420 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
2.420 * [backup-simplify]: Simplify 0 into 0
2.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.421 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
2.427 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
2.427 * [backup-simplify]: Simplify (+ 0 0) into 0
2.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
2.427 * [taylor]: Taking taylor expansion of 0 in p
2.427 * [backup-simplify]: Simplify 0 into 0
2.428 * [backup-simplify]: Simplify 0 into 0
2.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.428 * [backup-simplify]: Simplify 0 into 0
2.428 * [backup-simplify]: Simplify 0 into 0
2.428 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
2.428 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
2.428 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
2.429 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
2.429 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
2.429 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
2.429 * [taylor]: Taking taylor expansion of 4 in p
2.429 * [backup-simplify]: Simplify 4 into 4
2.429 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
2.429 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.429 * [taylor]: Taking taylor expansion of p in p
2.429 * [backup-simplify]: Simplify 0 into 0
2.429 * [backup-simplify]: Simplify 1 into 1
2.429 * [backup-simplify]: Simplify (* 1 1) into 1
2.429 * [backup-simplify]: Simplify (/ 1 1) into 1
2.429 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
2.429 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.429 * [taylor]: Taking taylor expansion of x in p
2.429 * [backup-simplify]: Simplify x into x
2.429 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.429 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.430 * [backup-simplify]: Simplify (* 4 1) into 4
2.430 * [backup-simplify]: Simplify (+ 4 0) into 4
2.430 * [backup-simplify]: Simplify (sqrt 4) into 2
2.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.433 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
2.433 * [backup-simplify]: Simplify (+ 0 0) into 0
2.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
2.434 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.434 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.434 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
2.434 * [taylor]: Taking taylor expansion of 4 in x
2.434 * [backup-simplify]: Simplify 4 into 4
2.434 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.434 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.434 * [taylor]: Taking taylor expansion of p in x
2.434 * [backup-simplify]: Simplify p into p
2.434 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.434 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.434 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.434 * [taylor]: Taking taylor expansion of x in x
2.434 * [backup-simplify]: Simplify 0 into 0
2.435 * [backup-simplify]: Simplify 1 into 1
2.435 * [backup-simplify]: Simplify (* 1 1) into 1
2.435 * [backup-simplify]: Simplify (/ 1 1) into 1
2.436 * [backup-simplify]: Simplify (+ 0 1) into 1
2.436 * [backup-simplify]: Simplify (sqrt 1) into 1
2.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.438 * [backup-simplify]: Simplify (+ 0 0) into 0
2.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.439 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.439 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.439 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
2.439 * [taylor]: Taking taylor expansion of 4 in x
2.439 * [backup-simplify]: Simplify 4 into 4
2.439 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.439 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.439 * [taylor]: Taking taylor expansion of p in x
2.439 * [backup-simplify]: Simplify p into p
2.439 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.439 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.439 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.439 * [taylor]: Taking taylor expansion of x in x
2.439 * [backup-simplify]: Simplify 0 into 0
2.439 * [backup-simplify]: Simplify 1 into 1
2.440 * [backup-simplify]: Simplify (* 1 1) into 1
2.440 * [backup-simplify]: Simplify (/ 1 1) into 1
2.441 * [backup-simplify]: Simplify (+ 0 1) into 1
2.441 * [backup-simplify]: Simplify (sqrt 1) into 1
2.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.443 * [backup-simplify]: Simplify (+ 0 0) into 0
2.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.444 * [taylor]: Taking taylor expansion of 1 in p
2.444 * [backup-simplify]: Simplify 1 into 1
2.444 * [taylor]: Taking taylor expansion of 0 in p
2.444 * [backup-simplify]: Simplify 0 into 0
2.444 * [backup-simplify]: Simplify 1 into 1
2.444 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
2.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.446 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
2.447 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
2.447 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
2.447 * [taylor]: Taking taylor expansion of 2 in p
2.447 * [backup-simplify]: Simplify 2 into 2
2.447 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.447 * [taylor]: Taking taylor expansion of p in p
2.447 * [backup-simplify]: Simplify 0 into 0
2.447 * [backup-simplify]: Simplify 1 into 1
2.447 * [backup-simplify]: Simplify (* 1 1) into 1
2.448 * [backup-simplify]: Simplify (/ 2 1) into 2
2.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
2.449 * [backup-simplify]: Simplify 0 into 0
2.449 * [backup-simplify]: Simplify 0 into 0
2.449 * [backup-simplify]: Simplify 0 into 0
2.449 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
2.449 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
2.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.451 * [backup-simplify]: Simplify (+ 0 0) into 0
2.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
2.451 * [taylor]: Taking taylor expansion of 0 in p
2.451 * [backup-simplify]: Simplify 0 into 0
2.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.452 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.452 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
2.452 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
2.452 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
2.453 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
2.453 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
2.453 * [taylor]: Taking taylor expansion of 4 in p
2.453 * [backup-simplify]: Simplify 4 into 4
2.453 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
2.453 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.453 * [taylor]: Taking taylor expansion of p in p
2.453 * [backup-simplify]: Simplify 0 into 0
2.453 * [backup-simplify]: Simplify 1 into 1
2.453 * [backup-simplify]: Simplify (* 1 1) into 1
2.453 * [backup-simplify]: Simplify (/ 1 1) into 1
2.453 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
2.453 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.453 * [taylor]: Taking taylor expansion of x in p
2.453 * [backup-simplify]: Simplify x into x
2.453 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.453 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.454 * [backup-simplify]: Simplify (* 4 1) into 4
2.454 * [backup-simplify]: Simplify (+ 4 0) into 4
2.454 * [backup-simplify]: Simplify (sqrt 4) into 2
2.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.455 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
2.456 * [backup-simplify]: Simplify (+ 0 0) into 0
2.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
2.456 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.456 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.456 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
2.456 * [taylor]: Taking taylor expansion of 4 in x
2.456 * [backup-simplify]: Simplify 4 into 4
2.456 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.456 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.456 * [taylor]: Taking taylor expansion of p in x
2.456 * [backup-simplify]: Simplify p into p
2.456 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.456 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.456 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.456 * [taylor]: Taking taylor expansion of x in x
2.456 * [backup-simplify]: Simplify 0 into 0
2.456 * [backup-simplify]: Simplify 1 into 1
2.457 * [backup-simplify]: Simplify (* 1 1) into 1
2.457 * [backup-simplify]: Simplify (/ 1 1) into 1
2.457 * [backup-simplify]: Simplify (+ 0 1) into 1
2.457 * [backup-simplify]: Simplify (sqrt 1) into 1
2.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.459 * [backup-simplify]: Simplify (+ 0 0) into 0
2.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.459 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.459 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.459 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
2.459 * [taylor]: Taking taylor expansion of 4 in x
2.459 * [backup-simplify]: Simplify 4 into 4
2.459 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.459 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.459 * [taylor]: Taking taylor expansion of p in x
2.459 * [backup-simplify]: Simplify p into p
2.459 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.459 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.459 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.459 * [taylor]: Taking taylor expansion of x in x
2.459 * [backup-simplify]: Simplify 0 into 0
2.459 * [backup-simplify]: Simplify 1 into 1
2.460 * [backup-simplify]: Simplify (* 1 1) into 1
2.460 * [backup-simplify]: Simplify (/ 1 1) into 1
2.460 * [backup-simplify]: Simplify (+ 0 1) into 1
2.460 * [backup-simplify]: Simplify (sqrt 1) into 1
2.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.461 * [backup-simplify]: Simplify (+ 0 0) into 0
2.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.462 * [taylor]: Taking taylor expansion of 1 in p
2.462 * [backup-simplify]: Simplify 1 into 1
2.462 * [taylor]: Taking taylor expansion of 0 in p
2.462 * [backup-simplify]: Simplify 0 into 0
2.462 * [backup-simplify]: Simplify 1 into 1
2.462 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
2.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.464 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
2.464 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
2.464 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
2.464 * [taylor]: Taking taylor expansion of 2 in p
2.464 * [backup-simplify]: Simplify 2 into 2
2.464 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.464 * [taylor]: Taking taylor expansion of p in p
2.464 * [backup-simplify]: Simplify 0 into 0
2.464 * [backup-simplify]: Simplify 1 into 1
2.465 * [backup-simplify]: Simplify (* 1 1) into 1
2.465 * [backup-simplify]: Simplify (/ 2 1) into 2
2.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
2.466 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
2.467 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
2.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.468 * [backup-simplify]: Simplify (+ 0 0) into 0
2.468 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
2.468 * [taylor]: Taking taylor expansion of 0 in p
2.468 * [backup-simplify]: Simplify 0 into 0
2.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.470 * [backup-simplify]: Simplify 0 into 0
2.470 * [backup-simplify]: Simplify 0 into 0
2.470 * [backup-simplify]: Simplify 0 into 0
2.470 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.470 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 2 1)
2.470 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
2.470 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
2.470 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
2.470 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
2.470 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.470 * [taylor]: Taking taylor expansion of x in p
2.470 * [backup-simplify]: Simplify x into x
2.470 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
2.470 * [taylor]: Taking taylor expansion of 4 in p
2.470 * [backup-simplify]: Simplify 4 into 4
2.470 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.470 * [taylor]: Taking taylor expansion of p in p
2.470 * [backup-simplify]: Simplify 0 into 0
2.470 * [backup-simplify]: Simplify 1 into 1
2.470 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.470 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.470 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.470 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.471 * [backup-simplify]: Simplify (+ 0 0) into 0
2.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.471 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
2.471 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
2.471 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.471 * [taylor]: Taking taylor expansion of x in x
2.471 * [backup-simplify]: Simplify 0 into 0
2.471 * [backup-simplify]: Simplify 1 into 1
2.471 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
2.471 * [taylor]: Taking taylor expansion of 4 in x
2.471 * [backup-simplify]: Simplify 4 into 4
2.471 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.471 * [taylor]: Taking taylor expansion of p in x
2.471 * [backup-simplify]: Simplify p into p
2.471 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.471 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
2.471 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
2.471 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
2.471 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.471 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
2.472 * [backup-simplify]: Simplify (+ 0 0) into 0
2.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
2.472 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
2.472 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
2.472 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.472 * [taylor]: Taking taylor expansion of x in x
2.472 * [backup-simplify]: Simplify 0 into 0
2.472 * [backup-simplify]: Simplify 1 into 1
2.472 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
2.472 * [taylor]: Taking taylor expansion of 4 in x
2.472 * [backup-simplify]: Simplify 4 into 4
2.472 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.472 * [taylor]: Taking taylor expansion of p in x
2.472 * [backup-simplify]: Simplify p into p
2.472 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.472 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
2.472 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
2.472 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
2.472 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.473 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
2.473 * [backup-simplify]: Simplify (+ 0 0) into 0
2.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
2.473 * [taylor]: Taking taylor expansion of (* 2 p) in p
2.473 * [taylor]: Taking taylor expansion of 2 in p
2.473 * [backup-simplify]: Simplify 2 into 2
2.473 * [taylor]: Taking taylor expansion of p in p
2.473 * [backup-simplify]: Simplify 0 into 0
2.473 * [backup-simplify]: Simplify 1 into 1
2.473 * [backup-simplify]: Simplify (* 2 0) into 0
2.473 * [backup-simplify]: Simplify 0 into 0
2.473 * [taylor]: Taking taylor expansion of 0 in p
2.473 * [backup-simplify]: Simplify 0 into 0
2.473 * [backup-simplify]: Simplify 0 into 0
2.474 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
2.474 * [backup-simplify]: Simplify 2 into 2
2.474 * [backup-simplify]: Simplify (* 1 1) into 1
2.475 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
2.475 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
2.475 * [backup-simplify]: Simplify (+ 1 0) into 1
2.476 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
2.476 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
2.476 * [taylor]: Taking taylor expansion of 1/4 in p
2.476 * [backup-simplify]: Simplify 1/4 into 1/4
2.476 * [taylor]: Taking taylor expansion of p in p
2.476 * [backup-simplify]: Simplify 0 into 0
2.476 * [backup-simplify]: Simplify 1 into 1
2.476 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
2.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
2.477 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
2.477 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.479 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
2.480 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
2.480 * [backup-simplify]: Simplify (+ 0 0) into 0
2.480 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
2.480 * [taylor]: Taking taylor expansion of 0 in p
2.480 * [backup-simplify]: Simplify 0 into 0
2.480 * [backup-simplify]: Simplify 0 into 0
2.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
2.482 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
2.482 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
2.482 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
2.482 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
2.482 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
2.482 * [taylor]: Taking taylor expansion of 4 in p
2.482 * [backup-simplify]: Simplify 4 into 4
2.482 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
2.482 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.482 * [taylor]: Taking taylor expansion of p in p
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify 1 into 1
2.483 * [backup-simplify]: Simplify (* 1 1) into 1
2.483 * [backup-simplify]: Simplify (/ 1 1) into 1
2.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
2.483 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.483 * [taylor]: Taking taylor expansion of x in p
2.483 * [backup-simplify]: Simplify x into x
2.483 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.483 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.484 * [backup-simplify]: Simplify (* 4 1) into 4
2.484 * [backup-simplify]: Simplify (+ 4 0) into 4
2.485 * [backup-simplify]: Simplify (sqrt 4) into 2
2.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.487 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
2.487 * [backup-simplify]: Simplify (+ 0 0) into 0
2.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
2.488 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.488 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.488 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
2.488 * [taylor]: Taking taylor expansion of 4 in x
2.488 * [backup-simplify]: Simplify 4 into 4
2.488 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.488 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.488 * [taylor]: Taking taylor expansion of p in x
2.488 * [backup-simplify]: Simplify p into p
2.488 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.489 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.489 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.489 * [taylor]: Taking taylor expansion of x in x
2.489 * [backup-simplify]: Simplify 0 into 0
2.489 * [backup-simplify]: Simplify 1 into 1
2.489 * [backup-simplify]: Simplify (* 1 1) into 1
2.489 * [backup-simplify]: Simplify (/ 1 1) into 1
2.490 * [backup-simplify]: Simplify (+ 0 1) into 1
2.490 * [backup-simplify]: Simplify (sqrt 1) into 1
2.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.491 * [backup-simplify]: Simplify (+ 0 0) into 0
2.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.492 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.492 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.492 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
2.492 * [taylor]: Taking taylor expansion of 4 in x
2.492 * [backup-simplify]: Simplify 4 into 4
2.492 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.492 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.492 * [taylor]: Taking taylor expansion of p in x
2.492 * [backup-simplify]: Simplify p into p
2.492 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.492 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.492 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.492 * [taylor]: Taking taylor expansion of x in x
2.492 * [backup-simplify]: Simplify 0 into 0
2.492 * [backup-simplify]: Simplify 1 into 1
2.492 * [backup-simplify]: Simplify (* 1 1) into 1
2.493 * [backup-simplify]: Simplify (/ 1 1) into 1
2.493 * [backup-simplify]: Simplify (+ 0 1) into 1
2.493 * [backup-simplify]: Simplify (sqrt 1) into 1
2.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.494 * [backup-simplify]: Simplify (+ 0 0) into 0
2.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.495 * [taylor]: Taking taylor expansion of 1 in p
2.495 * [backup-simplify]: Simplify 1 into 1
2.495 * [taylor]: Taking taylor expansion of 0 in p
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [backup-simplify]: Simplify 1 into 1
2.495 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
2.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.496 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
2.497 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
2.497 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
2.497 * [taylor]: Taking taylor expansion of 2 in p
2.497 * [backup-simplify]: Simplify 2 into 2
2.497 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.497 * [taylor]: Taking taylor expansion of p in p
2.497 * [backup-simplify]: Simplify 0 into 0
2.497 * [backup-simplify]: Simplify 1 into 1
2.497 * [backup-simplify]: Simplify (* 1 1) into 1
2.498 * [backup-simplify]: Simplify (/ 2 1) into 2
2.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
2.499 * [backup-simplify]: Simplify 0 into 0
2.499 * [backup-simplify]: Simplify 0 into 0
2.499 * [backup-simplify]: Simplify 0 into 0
2.499 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
2.499 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
2.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.501 * [backup-simplify]: Simplify (+ 0 0) into 0
2.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
2.501 * [taylor]: Taking taylor expansion of 0 in p
2.501 * [backup-simplify]: Simplify 0 into 0
2.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.502 * [backup-simplify]: Simplify 0 into 0
2.502 * [backup-simplify]: Simplify 0 into 0
2.502 * [backup-simplify]: Simplify 0 into 0
2.502 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.503 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
2.503 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
2.503 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
2.503 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
2.503 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
2.503 * [taylor]: Taking taylor expansion of 4 in p
2.503 * [backup-simplify]: Simplify 4 into 4
2.503 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
2.503 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.503 * [taylor]: Taking taylor expansion of p in p
2.503 * [backup-simplify]: Simplify 0 into 0
2.503 * [backup-simplify]: Simplify 1 into 1
2.503 * [backup-simplify]: Simplify (* 1 1) into 1
2.503 * [backup-simplify]: Simplify (/ 1 1) into 1
2.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
2.503 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.503 * [taylor]: Taking taylor expansion of x in p
2.503 * [backup-simplify]: Simplify x into x
2.503 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.503 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.504 * [backup-simplify]: Simplify (* 4 1) into 4
2.504 * [backup-simplify]: Simplify (+ 4 0) into 4
2.504 * [backup-simplify]: Simplify (sqrt 4) into 2
2.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.506 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
2.506 * [backup-simplify]: Simplify (+ 0 0) into 0
2.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
2.506 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.506 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.506 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
2.506 * [taylor]: Taking taylor expansion of 4 in x
2.506 * [backup-simplify]: Simplify 4 into 4
2.506 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.506 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.506 * [taylor]: Taking taylor expansion of p in x
2.506 * [backup-simplify]: Simplify p into p
2.506 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.507 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.507 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.507 * [taylor]: Taking taylor expansion of x in x
2.507 * [backup-simplify]: Simplify 0 into 0
2.507 * [backup-simplify]: Simplify 1 into 1
2.507 * [backup-simplify]: Simplify (* 1 1) into 1
2.507 * [backup-simplify]: Simplify (/ 1 1) into 1
2.507 * [backup-simplify]: Simplify (+ 0 1) into 1
2.508 * [backup-simplify]: Simplify (sqrt 1) into 1
2.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.509 * [backup-simplify]: Simplify (+ 0 0) into 0
2.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.509 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.509 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.509 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
2.509 * [taylor]: Taking taylor expansion of 4 in x
2.509 * [backup-simplify]: Simplify 4 into 4
2.509 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.509 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.509 * [taylor]: Taking taylor expansion of p in x
2.509 * [backup-simplify]: Simplify p into p
2.509 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.509 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.509 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.509 * [taylor]: Taking taylor expansion of x in x
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify 1 into 1
2.510 * [backup-simplify]: Simplify (* 1 1) into 1
2.510 * [backup-simplify]: Simplify (/ 1 1) into 1
2.510 * [backup-simplify]: Simplify (+ 0 1) into 1
2.510 * [backup-simplify]: Simplify (sqrt 1) into 1
2.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.512 * [backup-simplify]: Simplify (+ 0 0) into 0
2.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.512 * [taylor]: Taking taylor expansion of 1 in p
2.512 * [backup-simplify]: Simplify 1 into 1
2.512 * [taylor]: Taking taylor expansion of 0 in p
2.512 * [backup-simplify]: Simplify 0 into 0
2.512 * [backup-simplify]: Simplify 1 into 1
2.512 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
2.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.514 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
2.515 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
2.515 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
2.515 * [taylor]: Taking taylor expansion of 2 in p
2.515 * [backup-simplify]: Simplify 2 into 2
2.515 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.515 * [taylor]: Taking taylor expansion of p in p
2.515 * [backup-simplify]: Simplify 0 into 0
2.515 * [backup-simplify]: Simplify 1 into 1
2.515 * [backup-simplify]: Simplify (* 1 1) into 1
2.515 * [backup-simplify]: Simplify (/ 2 1) into 2
2.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
2.516 * [backup-simplify]: Simplify 0 into 0
2.516 * [backup-simplify]: Simplify 0 into 0
2.516 * [backup-simplify]: Simplify 0 into 0
2.516 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
2.517 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
2.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.518 * [backup-simplify]: Simplify (+ 0 0) into 0
2.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
2.519 * [taylor]: Taking taylor expansion of 0 in p
2.519 * [backup-simplify]: Simplify 0 into 0
2.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.520 * [backup-simplify]: Simplify 0 into 0
2.520 * [backup-simplify]: Simplify 0 into 0
2.520 * [backup-simplify]: Simplify 0 into 0
2.520 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.520 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2)
2.520 * [backup-simplify]: Simplify (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))) into (- 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))))
2.520 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in (x p) around 0
2.520 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in p
2.520 * [taylor]: Taking taylor expansion of 0.5 in p
2.520 * [backup-simplify]: Simplify 0.5 into 0.5
2.521 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in p
2.521 * [taylor]: Taking taylor expansion of 0.5 in p
2.521 * [backup-simplify]: Simplify 0.5 into 0.5
2.521 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p
2.521 * [taylor]: Taking taylor expansion of x in p
2.521 * [backup-simplify]: Simplify x into x
2.521 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p
2.521 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p
2.521 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
2.521 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.521 * [taylor]: Taking taylor expansion of x in p
2.521 * [backup-simplify]: Simplify x into x
2.521 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
2.521 * [taylor]: Taking taylor expansion of 4 in p
2.521 * [backup-simplify]: Simplify 4 into 4
2.521 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.521 * [taylor]: Taking taylor expansion of p in p
2.521 * [backup-simplify]: Simplify 0 into 0
2.521 * [backup-simplify]: Simplify 1 into 1
2.521 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.521 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.521 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.521 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
2.521 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.521 * [backup-simplify]: Simplify (+ 0 0) into 0
2.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
2.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
2.522 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x
2.522 * [taylor]: Taking taylor expansion of 0.5 in x
2.522 * [backup-simplify]: Simplify 0.5 into 0.5
2.522 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x
2.522 * [taylor]: Taking taylor expansion of 0.5 in x
2.522 * [backup-simplify]: Simplify 0.5 into 0.5
2.522 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
2.522 * [taylor]: Taking taylor expansion of x in x
2.522 * [backup-simplify]: Simplify 0 into 0
2.522 * [backup-simplify]: Simplify 1 into 1
2.522 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
2.522 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
2.522 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
2.522 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.522 * [taylor]: Taking taylor expansion of x in x
2.522 * [backup-simplify]: Simplify 0 into 0
2.522 * [backup-simplify]: Simplify 1 into 1
2.522 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
2.522 * [taylor]: Taking taylor expansion of 4 in x
2.522 * [backup-simplify]: Simplify 4 into 4
2.522 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.522 * [taylor]: Taking taylor expansion of p in x
2.522 * [backup-simplify]: Simplify p into p
2.522 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.522 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
2.522 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
2.522 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
2.522 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
2.522 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.523 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
2.523 * [backup-simplify]: Simplify (+ 0 0) into 0
2.524 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
2.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
2.524 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x
2.524 * [taylor]: Taking taylor expansion of 0.5 in x
2.524 * [backup-simplify]: Simplify 0.5 into 0.5
2.524 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x
2.524 * [taylor]: Taking taylor expansion of 0.5 in x
2.524 * [backup-simplify]: Simplify 0.5 into 0.5
2.524 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
2.524 * [taylor]: Taking taylor expansion of x in x
2.524 * [backup-simplify]: Simplify 0 into 0
2.524 * [backup-simplify]: Simplify 1 into 1
2.524 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
2.524 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
2.524 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
2.524 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.524 * [taylor]: Taking taylor expansion of x in x
2.524 * [backup-simplify]: Simplify 0 into 0
2.524 * [backup-simplify]: Simplify 1 into 1
2.525 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
2.525 * [taylor]: Taking taylor expansion of 4 in x
2.525 * [backup-simplify]: Simplify 4 into 4
2.525 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.525 * [taylor]: Taking taylor expansion of p in x
2.525 * [backup-simplify]: Simplify p into p
2.525 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.525 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
2.525 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
2.525 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
2.525 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
2.525 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.526 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
2.526 * [backup-simplify]: Simplify (+ 0 0) into 0
2.526 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
2.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
2.527 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0
2.527 * [backup-simplify]: Simplify (* 0.5 0) into 0
2.528 * [backup-simplify]: Simplify (- 0) into 0
2.528 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5
2.528 * [taylor]: Taking taylor expansion of 0.5 in p
2.528 * [backup-simplify]: Simplify 0.5 into 0.5
2.528 * [backup-simplify]: Simplify 0.5 into 0.5
2.529 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p))
2.529 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p))
2.529 * [backup-simplify]: Simplify (- (* 0.25 (/ 1 p))) into (- (* 0.25 (/ 1 p)))
2.529 * [backup-simplify]: Simplify (+ 0 (- (* 0.25 (/ 1 p)))) into (- (* 0.25 (/ 1 p)))
2.530 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 p))) in p
2.530 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 p)) in p
2.530 * [taylor]: Taking taylor expansion of 0.25 in p
2.530 * [backup-simplify]: Simplify 0.25 into 0.25
2.530 * [taylor]: Taking taylor expansion of (/ 1 p) in p
2.530 * [taylor]: Taking taylor expansion of p in p
2.530 * [backup-simplify]: Simplify 0 into 0
2.530 * [backup-simplify]: Simplify 1 into 1
2.530 * [backup-simplify]: Simplify (/ 1 1) into 1
2.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.532 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0
2.532 * [backup-simplify]: Simplify (- 0) into 0
2.532 * [backup-simplify]: Simplify 0 into 0
2.532 * [backup-simplify]: Simplify 0 into 0
2.532 * [backup-simplify]: Simplify (* 1 1) into 1
2.533 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
2.534 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
2.539 * [backup-simplify]: Simplify (+ 1 0) into 1
2.540 * [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))))
2.541 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3))
2.542 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0
2.543 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0))) into 0
2.543 * [backup-simplify]: Simplify (- 0) into 0
2.544 * [backup-simplify]: Simplify (+ 0 0) into 0
2.544 * [taylor]: Taking taylor expansion of 0 in p
2.544 * [backup-simplify]: Simplify 0 into 0
2.544 * [backup-simplify]: Simplify 0 into 0
2.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.546 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
2.546 * [backup-simplify]: Simplify (- 0) into 0
2.546 * [backup-simplify]: Simplify 0 into 0
2.546 * [backup-simplify]: Simplify 0 into 0
2.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.548 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
2.549 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
2.550 * [backup-simplify]: Simplify (+ 0 0) into 0
2.550 * [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
2.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (pow p 3)))))) (* 2 (/ 1/2 p))) into 0
2.552 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -1/16 (pow p 3))) (+ (* 0 0) (* 0 (/ 1/2 p))))) into (- (* 1/16 (/ 1 (pow p 3))))
2.553 * [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))))
2.553 * [backup-simplify]: Simplify (- (- (* 0.03125 (/ 1 (pow p 3))))) into (* 0.03125 (/ 1 (pow p 3)))
2.553 * [backup-simplify]: Simplify (+ 0 (* 0.03125 (/ 1 (pow p 3)))) into (* 0.03125 (/ 1 (pow p 3)))
2.553 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (pow p 3))) in p
2.553 * [taylor]: Taking taylor expansion of 0.03125 in p
2.553 * [backup-simplify]: Simplify 0.03125 into 0.03125
2.553 * [taylor]: Taking taylor expansion of (/ 1 (pow p 3)) in p
2.553 * [taylor]: Taking taylor expansion of (pow p 3) in p
2.553 * [taylor]: Taking taylor expansion of p in p
2.553 * [backup-simplify]: Simplify 0 into 0
2.553 * [backup-simplify]: Simplify 1 into 1
2.554 * [backup-simplify]: Simplify (* 1 1) into 1
2.554 * [backup-simplify]: Simplify (* 1 1) into 1
2.554 * [backup-simplify]: Simplify (/ 1 1) into 1
2.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.564 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.564 * [backup-simplify]: Simplify 0 into 0
2.564 * [backup-simplify]: Simplify 0.5 into 0.5
2.565 * [backup-simplify]: Simplify (- 0.5 (* (/ 1 x) (/ 0.5 (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p))))))) into (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))))
2.565 * [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
2.565 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in p
2.565 * [taylor]: Taking taylor expansion of 0.5 in p
2.565 * [backup-simplify]: Simplify 0.5 into 0.5
2.565 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
2.565 * [taylor]: Taking taylor expansion of 0.5 in p
2.565 * [backup-simplify]: Simplify 0.5 into 0.5
2.565 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
2.565 * [taylor]: Taking taylor expansion of (/ 1 x) in p
2.565 * [taylor]: Taking taylor expansion of x in p
2.565 * [backup-simplify]: Simplify x into x
2.565 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.565 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
2.565 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
2.565 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
2.565 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
2.565 * [taylor]: Taking taylor expansion of 4 in p
2.565 * [backup-simplify]: Simplify 4 into 4
2.565 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
2.565 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.565 * [taylor]: Taking taylor expansion of p in p
2.565 * [backup-simplify]: Simplify 0 into 0
2.565 * [backup-simplify]: Simplify 1 into 1
2.566 * [backup-simplify]: Simplify (* 1 1) into 1
2.566 * [backup-simplify]: Simplify (/ 1 1) into 1
2.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
2.566 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.566 * [taylor]: Taking taylor expansion of x in p
2.566 * [backup-simplify]: Simplify x into x
2.566 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.566 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.567 * [backup-simplify]: Simplify (* 4 1) into 4
2.567 * [backup-simplify]: Simplify (+ 4 0) into 4
2.568 * [backup-simplify]: Simplify (/ 1 4) into 1/4
2.568 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
2.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.570 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
2.570 * [backup-simplify]: Simplify (+ 0 0) into 0
2.571 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
2.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
2.571 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x
2.572 * [taylor]: Taking taylor expansion of 0.5 in x
2.572 * [backup-simplify]: Simplify 0.5 into 0.5
2.572 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
2.572 * [taylor]: Taking taylor expansion of 0.5 in x
2.572 * [backup-simplify]: Simplify 0.5 into 0.5
2.572 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
2.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.572 * [taylor]: Taking taylor expansion of x in x
2.572 * [backup-simplify]: Simplify 0 into 0
2.572 * [backup-simplify]: Simplify 1 into 1
2.572 * [backup-simplify]: Simplify (/ 1 1) into 1
2.572 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
2.572 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.572 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.572 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
2.572 * [taylor]: Taking taylor expansion of 4 in x
2.572 * [backup-simplify]: Simplify 4 into 4
2.572 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.572 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.572 * [taylor]: Taking taylor expansion of p in x
2.572 * [backup-simplify]: Simplify p into p
2.572 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.572 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.572 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.572 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.572 * [taylor]: Taking taylor expansion of x in x
2.572 * [backup-simplify]: Simplify 0 into 0
2.572 * [backup-simplify]: Simplify 1 into 1
2.573 * [backup-simplify]: Simplify (* 1 1) into 1
2.573 * [backup-simplify]: Simplify (/ 1 1) into 1
2.573 * [backup-simplify]: Simplify (+ 0 1) into 1
2.573 * [backup-simplify]: Simplify (/ 1 1) into 1
2.574 * [backup-simplify]: Simplify (sqrt 1) into 1
2.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.575 * [backup-simplify]: Simplify (+ 0 0) into 0
2.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.576 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x
2.576 * [taylor]: Taking taylor expansion of 0.5 in x
2.576 * [backup-simplify]: Simplify 0.5 into 0.5
2.576 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
2.576 * [taylor]: Taking taylor expansion of 0.5 in x
2.576 * [backup-simplify]: Simplify 0.5 into 0.5
2.576 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
2.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.576 * [taylor]: Taking taylor expansion of x in x
2.576 * [backup-simplify]: Simplify 0 into 0
2.576 * [backup-simplify]: Simplify 1 into 1
2.576 * [backup-simplify]: Simplify (/ 1 1) into 1
2.576 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
2.576 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.576 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.576 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
2.576 * [taylor]: Taking taylor expansion of 4 in x
2.576 * [backup-simplify]: Simplify 4 into 4
2.576 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.576 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.576 * [taylor]: Taking taylor expansion of p in x
2.576 * [backup-simplify]: Simplify p into p
2.576 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.576 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.576 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.576 * [taylor]: Taking taylor expansion of x in x
2.576 * [backup-simplify]: Simplify 0 into 0
2.576 * [backup-simplify]: Simplify 1 into 1
2.577 * [backup-simplify]: Simplify (* 1 1) into 1
2.577 * [backup-simplify]: Simplify (/ 1 1) into 1
2.577 * [backup-simplify]: Simplify (+ 0 1) into 1
2.577 * [backup-simplify]: Simplify (/ 1 1) into 1
2.578 * [backup-simplify]: Simplify (sqrt 1) into 1
2.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.579 * [backup-simplify]: Simplify (+ 0 0) into 0
2.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.580 * [backup-simplify]: Simplify (* 1 1) into 1
2.581 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
2.581 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.581 * [backup-simplify]: Simplify (+ 0.5 (- 0.5)) into 0
2.581 * [taylor]: Taking taylor expansion of 0 in p
2.581 * [backup-simplify]: Simplify 0 into 0
2.582 * [backup-simplify]: Simplify 0 into 0
2.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.583 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
2.583 * [backup-simplify]: Simplify (- 0) into 0
2.583 * [backup-simplify]: Simplify (+ 0 0) into 0
2.583 * [taylor]: Taking taylor expansion of 0 in p
2.583 * [backup-simplify]: Simplify 0 into 0
2.583 * [backup-simplify]: Simplify 0 into 0
2.583 * [backup-simplify]: Simplify 0 into 0
2.584 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
2.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.585 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
2.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
2.586 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
2.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.587 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
2.587 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2))))
2.588 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow p 2))))) into (* 1.0 (/ 1 (pow p 2)))
2.588 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow p 2)))) into (* 1.0 (/ 1 (pow p 2)))
2.588 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p
2.588 * [taylor]: Taking taylor expansion of 1.0 in p
2.588 * [backup-simplify]: Simplify 1.0 into 1.0
2.588 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
2.588 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.588 * [taylor]: Taking taylor expansion of p in p
2.588 * [backup-simplify]: Simplify 0 into 0
2.588 * [backup-simplify]: Simplify 1 into 1
2.588 * [backup-simplify]: Simplify (* 1 1) into 1
2.588 * [backup-simplify]: Simplify (/ 1 1) into 1
2.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.591 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
2.591 * [backup-simplify]: Simplify 0 into 0
2.591 * [backup-simplify]: Simplify 0 into 0
2.591 * [backup-simplify]: Simplify 0 into 0
2.591 * [backup-simplify]: Simplify 0 into 0
2.591 * [backup-simplify]: Simplify (- 0.5 (* (/ 1 (- x)) (/ 0.5 (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p)))))))) into (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5)
2.591 * [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
2.591 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in p
2.591 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
2.591 * [taylor]: Taking taylor expansion of 0.5 in p
2.591 * [backup-simplify]: Simplify 0.5 into 0.5
2.591 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
2.591 * [taylor]: Taking taylor expansion of (/ 1 x) in p
2.591 * [taylor]: Taking taylor expansion of x in p
2.591 * [backup-simplify]: Simplify x into x
2.591 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
2.592 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
2.592 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
2.592 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
2.592 * [taylor]: Taking taylor expansion of 4 in p
2.592 * [backup-simplify]: Simplify 4 into 4
2.592 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
2.592 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.592 * [taylor]: Taking taylor expansion of p in p
2.592 * [backup-simplify]: Simplify 0 into 0
2.592 * [backup-simplify]: Simplify 1 into 1
2.592 * [backup-simplify]: Simplify (* 1 1) into 1
2.592 * [backup-simplify]: Simplify (/ 1 1) into 1
2.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
2.592 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.592 * [taylor]: Taking taylor expansion of x in p
2.592 * [backup-simplify]: Simplify x into x
2.592 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.592 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.593 * [backup-simplify]: Simplify (* 4 1) into 4
2.593 * [backup-simplify]: Simplify (+ 4 0) into 4
2.593 * [backup-simplify]: Simplify (/ 1 4) into 1/4
2.593 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
2.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.595 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
2.595 * [backup-simplify]: Simplify (+ 0 0) into 0
2.595 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
2.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
2.596 * [taylor]: Taking taylor expansion of 0.5 in p
2.596 * [backup-simplify]: Simplify 0.5 into 0.5
2.596 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x
2.596 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
2.596 * [taylor]: Taking taylor expansion of 0.5 in x
2.596 * [backup-simplify]: Simplify 0.5 into 0.5
2.596 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
2.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.596 * [taylor]: Taking taylor expansion of x in x
2.596 * [backup-simplify]: Simplify 0 into 0
2.596 * [backup-simplify]: Simplify 1 into 1
2.596 * [backup-simplify]: Simplify (/ 1 1) into 1
2.596 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
2.596 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.596 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.596 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
2.596 * [taylor]: Taking taylor expansion of 4 in x
2.597 * [backup-simplify]: Simplify 4 into 4
2.597 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.597 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.597 * [taylor]: Taking taylor expansion of p in x
2.597 * [backup-simplify]: Simplify p into p
2.597 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.597 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.597 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.597 * [taylor]: Taking taylor expansion of x in x
2.597 * [backup-simplify]: Simplify 0 into 0
2.597 * [backup-simplify]: Simplify 1 into 1
2.597 * [backup-simplify]: Simplify (* 1 1) into 1
2.597 * [backup-simplify]: Simplify (/ 1 1) into 1
2.598 * [backup-simplify]: Simplify (+ 0 1) into 1
2.598 * [backup-simplify]: Simplify (/ 1 1) into 1
2.598 * [backup-simplify]: Simplify (sqrt 1) into 1
2.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.600 * [backup-simplify]: Simplify (+ 0 0) into 0
2.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.601 * [taylor]: Taking taylor expansion of 0.5 in x
2.601 * [backup-simplify]: Simplify 0.5 into 0.5
2.601 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x
2.601 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
2.601 * [taylor]: Taking taylor expansion of 0.5 in x
2.601 * [backup-simplify]: Simplify 0.5 into 0.5
2.602 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
2.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.602 * [taylor]: Taking taylor expansion of x in x
2.602 * [backup-simplify]: Simplify 0 into 0
2.602 * [backup-simplify]: Simplify 1 into 1
2.602 * [backup-simplify]: Simplify (/ 1 1) into 1
2.602 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
2.602 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
2.602 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
2.602 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
2.602 * [taylor]: Taking taylor expansion of 4 in x
2.602 * [backup-simplify]: Simplify 4 into 4
2.602 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
2.602 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.602 * [taylor]: Taking taylor expansion of p in x
2.602 * [backup-simplify]: Simplify p into p
2.602 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.602 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
2.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.603 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.603 * [taylor]: Taking taylor expansion of x in x
2.603 * [backup-simplify]: Simplify 0 into 0
2.603 * [backup-simplify]: Simplify 1 into 1
2.603 * [backup-simplify]: Simplify (* 1 1) into 1
2.603 * [backup-simplify]: Simplify (/ 1 1) into 1
2.604 * [backup-simplify]: Simplify (+ 0 1) into 1
2.604 * [backup-simplify]: Simplify (/ 1 1) into 1
2.605 * [backup-simplify]: Simplify (sqrt 1) into 1
2.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.606 * [backup-simplify]: Simplify (+ 0 0) into 0
2.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.608 * [taylor]: Taking taylor expansion of 0.5 in x
2.608 * [backup-simplify]: Simplify 0.5 into 0.5
2.609 * [backup-simplify]: Simplify (* 1 1) into 1
2.609 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
2.610 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0
2.610 * [taylor]: Taking taylor expansion of 1.0 in p
2.610 * [backup-simplify]: Simplify 1.0 into 1.0
2.610 * [backup-simplify]: Simplify 1.0 into 1.0
2.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.612 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
2.613 * [backup-simplify]: Simplify (+ 0 0) into 0
2.613 * [taylor]: Taking taylor expansion of 0 in p
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
2.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.615 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
2.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
2.617 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
2.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.619 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
2.620 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2))))
2.620 * [backup-simplify]: Simplify (+ (- (* 1.0 (/ 1 (pow p 2)))) 0) into (- (* 1.0 (/ 1 (pow p 2))))
2.620 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow p 2)))) in p
2.620 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p
2.620 * [taylor]: Taking taylor expansion of 1.0 in p
2.620 * [backup-simplify]: Simplify 1.0 into 1.0
2.620 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
2.620 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.620 * [taylor]: Taking taylor expansion of p in p
2.620 * [backup-simplify]: Simplify 0 into 0
2.620 * [backup-simplify]: Simplify 1 into 1
2.621 * [backup-simplify]: Simplify (* 1 1) into 1
2.621 * [backup-simplify]: Simplify (/ 1 1) into 1
2.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.626 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
2.626 * [backup-simplify]: Simplify (- 0) into 0
2.626 * [backup-simplify]: Simplify 0 into 0
2.626 * [backup-simplify]: Simplify 0 into 0
2.626 * [backup-simplify]: Simplify 0 into 0
2.626 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
2.627 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
2.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.630 * [backup-simplify]: Simplify (+ 0 0) into 0
2.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0
2.631 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0
2.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0
2.635 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0
2.635 * [backup-simplify]: Simplify (+ 0 0) into 0
2.635 * [taylor]: Taking taylor expansion of 0 in p
2.635 * [backup-simplify]: Simplify 0 into 0
2.635 * [backup-simplify]: Simplify 0 into 0
2.635 * [backup-simplify]: Simplify 1.0 into 1.0
2.635 * * * [progress]: simplifying candidates
2.635 * * * * [progress]: [ 1 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (pow (+ (* x x) (* (* p 4) p)) 1/2)))))))))>
2.635 * * * * [progress]: [ 2 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (pow (sqrt (+ (* x x) (* (* p 4) p))) 1)))))))))>
2.635 * * * * [progress]: [ 3 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (exp (log (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
2.635 * * * * [progress]: [ 4 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (log (exp (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
2.635 * * * * [progress]: [ 5 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
2.635 * * * * [progress]: [ 6 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (cbrt (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
2.635 * * * * [progress]: [ 7 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (* (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))))))))))))>
2.635 * * * * [progress]: [ 8 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
2.636 * * * * [progress]: [ 9 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (* (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
2.636 * * * * [progress]: [ 10 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))))))))))))>
2.636 * * * * [progress]: [ 11 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))))))))))))>
2.636 * * * * [progress]: [ 12 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (pow (+ (* x x) (* (* p 4) p)) (/ 1 2))))))))))>
2.636 * * * * [progress]: [ 13 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
2.636 * * * * [progress]: [ 14 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (fabs (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
2.636 * * * * [progress]: [ 15 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (* 1 (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
2.636 * * * * [progress]: [ 16 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
2.636 * * * * [progress]: [ 17 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (pow (+ (* x x) (* (* p 4) p)) 1/2))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.636 * * * * [progress]: [ 18 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (pow (sqrt (+ (* x x) (* (* p 4) p))) 1))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.636 * * * * [progress]: [ 19 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (exp (log (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.636 * * * * [progress]: [ 20 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (log (exp (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.636 * * * * [progress]: [ 21 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.636 * * * * [progress]: [ 22 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (cbrt (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.636 * * * * [progress]: [ 23 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.636 * * * * [progress]: [ 24 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.636 * * * * [progress]: [ 25 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.636 * * * * [progress]: [ 26 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p)))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.637 * * * * [progress]: [ 27 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p)))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.637 * * * * [progress]: [ 28 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (pow (+ (* x x) (* (* p 4) p)) (/ 1 2)))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.637 * * * * [progress]: [ 29 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.637 * * * * [progress]: [ 30 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (fabs (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.637 * * * * [progress]: [ 31 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* 1 (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.637 * * * * [progress]: [ 32 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.637 * * * * [progress]: [ 33 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (pow (+ (* x x) (* (* p 4) p)) 1/2) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.637 * * * * [progress]: [ 34 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (pow (sqrt (+ (* x x) (* (* p 4) p))) 1) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.637 * * * * [progress]: [ 35 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (exp (log (sqrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.637 * * * * [progress]: [ 36 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (log (exp (sqrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.637 * * * * [progress]: [ 37 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.637 * * * * [progress]: [ 38 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (cbrt (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.637 * * * * [progress]: [ 39 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (* (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.637 * * * * [progress]: [ 40 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.637 * * * * [progress]: [ 41 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (* (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p)))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.637 * * * * [progress]: [ 42 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p)))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.637 * * * * [progress]: [ 43 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p)))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.637 * * * * [progress]: [ 44 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (pow (+ (* x x) (* (* p 4) p)) (/ 1 2)) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.637 * * * * [progress]: [ 45 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.638 * * * * [progress]: [ 46 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (fabs (sqrt (+ (* x x) (* (* p 4) p)))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.638 * * * * [progress]: [ 47 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (* 1 (sqrt (+ (* x x) (* (* p 4) p)))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.638 * * * * [progress]: [ 48 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.638 * * * * [progress]: [ 49 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (log (/ (exp 0.5) (exp (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
2.638 * * * * [progress]: [ 50 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (pow (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))) 1))))))>
2.638 * * * * [progress]: [ 51 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (exp (log (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
2.638 * * * * [progress]: [ 52 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (log (exp (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
2.638 * * * * [progress]: [ 53 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (* (* (cbrt (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))) (cbrt (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
2.638 * * * * [progress]: [ 54 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
2.638 * * * * [progress]: [ 55 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (* (sqrt (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))) (sqrt (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
2.638 * * * * [progress]: [ 56 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (/ (- (pow 0.5 3) (pow (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) 3)) (+ (* 0.5 0.5) (+ (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))))))))))>
2.638 * * * * [progress]: [ 57 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (+ 0.5 (- (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
2.638 * * * * [progress]: [ 58 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (* 1 (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
2.638 * * * * [progress]: [ 59 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (/ (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))) (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
2.638 * * * * [progress]: [ 60 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (+ 0.5 (- (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
2.638 * * * * [progress]: [ 61 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (posit16->real (real->posit16 (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
2.638 * * * * [progress]: [ 62 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (* 2 p)))))))))>
2.638 * * * * [progress]: [ 63 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 x))))))))>
2.639 * * * * [progress]: [ 64 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (* -1 x)))))))))>
2.639 * * * * [progress]: [ 65 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* 2 p))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.639 * * * * [progress]: [ 66 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 x)) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.639 * * * * [progress]: [ 67 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* -1 x))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.639 * * * * [progress]: [ 68 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (* 2 p) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.639 * * * * [progress]: [ 69 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ x (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.639 * * * * [progress]: [ 70 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (* -1 x) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
2.639 * * * * [progress]: [ 71 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) 0.5)))))>
2.639 * * * * [progress]: [ 72 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) 0)))))>
2.639 * * * * [progress]: [ 73 / 73 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) 1.0)))))>
2.640 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p)))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p)))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p)))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (/ (exp 0.5) (exp (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (log (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (exp (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (* (cbrt (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))))
  (cbrt (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (* (* (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (sqrt (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (sqrt (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (- (pow 0.5 3) (pow (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) 3))
  (+ (* 0.5 0.5) (+ (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))))
  (- (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))
  (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))
  (- (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))
  (real->posit16 (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (* 2 p)
  x
  (* -1 x)
  (* 2 p)
  x
  (* -1 x)
  (* 2 p)
  x
  (* -1 x)
  0.5
  0
  1.0
2.641 * * [simplify]: iteration 1: (70 enodes)
2.659 * * [simplify]: iteration 2: (164 enodes)
2.726 * * [simplify]: iteration 3: (470 enodes)
3.006 * * [simplify]: iteration 4: (1502 enodes)
4.295 * * [simplify]: Extracting #0: cost 34 inf + 0
4.296 * * [simplify]: Extracting #1: cost 105 inf + 6
4.297 * * [simplify]: Extracting #2: cost 482 inf + 509
4.301 * * [simplify]: Extracting #3: cost 854 inf + 8844
4.319 * * [simplify]: Extracting #4: cost 623 inf + 85826
4.414 * * [simplify]: Extracting #5: cost 210 inf + 245839
4.533 * * [simplify]: Extracting #6: cost 14 inf + 346896
4.634 * * [simplify]: Extracting #7: cost 0 inf + 350407
4.759 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p))))
  (fabs (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  1
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (* (* 64 (* p (* p p))) (* p (* p p))) (* (* x (* x x)) (* x (* x x)))))
  (sqrt (+ (* (* (* p 4) p) (* (* p 4) p)) (* (- (* x x) (* (* p 4) p)) (* x x))))
  (sqrt (* (- (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p))))
  (fabs (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  1
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (* (* 64 (* p (* p p))) (* p (* p p))) (* (* x (* x x)) (* x (* x x)))))
  (sqrt (+ (* (* (* p 4) p) (* (* p 4) p)) (* (- (* x x) (* (* p 4) p)) (* x x))))
  (sqrt (* (- (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p))))
  (fabs (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  1
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (* (* 64 (* p (* p p))) (* p (* p p))) (* (* x (* x x)) (* x (* x x)))))
  (sqrt (+ (* (* (* p 4) p) (* (* p 4) p)) (* (- (* x x) (* (* p 4) p)) (* x x))))
  (sqrt (* (- (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (log (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (exp (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (* (cbrt (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))))
  (cbrt (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (* (* (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (sqrt (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (sqrt (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (- (* 0.5 (* 0.5 0.5)) (/ (* (* x 0.5) (/ (* (* x 0.5) (* x 0.5)) (sqrt (+ (* x x) (* (* p 4) p))))) (+ (* x x) (* (* p 4) p))))
  (+ (* (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))) (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 0.5))
  (/ (- x) (/ (sqrt (+ (* x x) (* (* p 4) p))) 0.5))
  (- (* 0.5 0.5) (* (/ (* 0.5 0.5) (+ (* x x) (* (* p 4) p))) (* x x)))
  (+ 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))
  (/ (- x) (/ (sqrt (+ (* x x) (* (* p 4) p))) 0.5))
  (real->posit16 (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))
  (* p 2)
  x
  (- x)
  (* p 2)
  x
  (- x)
  (* p 2)
  x
  (- x)
  0.5
  0
  1.0
4.783 * * * [progress]: adding candidates to table
5.986 * * [progress]: iteration 3 / 4
5.986 * * * [progress]: picking best candidate
6.079 * * * * [pick]: Picked  #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.079 * * * [progress]: localizing error
6.191 * * * [progress]: generating rewritten candidates
6.191 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2 2 2 2)
6.197 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 2 2 2 1)
6.203 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1 2 2 1 2 1)
6.209 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1 2 2 1 1 1)
6.218 * * * [progress]: generating series expansions
6.218 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2 2 2 2)
6.218 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
6.218 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
6.218 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
6.218 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
6.218 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.218 * [taylor]: Taking taylor expansion of x in p
6.218 * [backup-simplify]: Simplify x into x
6.218 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
6.218 * [taylor]: Taking taylor expansion of 4 in p
6.218 * [backup-simplify]: Simplify 4 into 4
6.218 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.218 * [taylor]: Taking taylor expansion of p in p
6.218 * [backup-simplify]: Simplify 0 into 0
6.218 * [backup-simplify]: Simplify 1 into 1
6.218 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.218 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
6.219 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
6.219 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
6.219 * [backup-simplify]: Simplify (+ 0 0) into 0
6.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
6.219 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
6.219 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
6.219 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.219 * [taylor]: Taking taylor expansion of x in x
6.219 * [backup-simplify]: Simplify 0 into 0
6.219 * [backup-simplify]: Simplify 1 into 1
6.219 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
6.219 * [taylor]: Taking taylor expansion of 4 in x
6.219 * [backup-simplify]: Simplify 4 into 4
6.219 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.219 * [taylor]: Taking taylor expansion of p in x
6.219 * [backup-simplify]: Simplify p into p
6.219 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.220 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
6.220 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
6.220 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
6.220 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.220 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
6.220 * [backup-simplify]: Simplify (+ 0 0) into 0
6.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
6.220 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
6.220 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
6.220 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.220 * [taylor]: Taking taylor expansion of x in x
6.220 * [backup-simplify]: Simplify 0 into 0
6.220 * [backup-simplify]: Simplify 1 into 1
6.221 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
6.221 * [taylor]: Taking taylor expansion of 4 in x
6.221 * [backup-simplify]: Simplify 4 into 4
6.221 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.221 * [taylor]: Taking taylor expansion of p in x
6.221 * [backup-simplify]: Simplify p into p
6.221 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.221 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
6.221 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
6.221 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
6.221 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.221 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
6.221 * [backup-simplify]: Simplify (+ 0 0) into 0
6.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
6.222 * [taylor]: Taking taylor expansion of (* 2 p) in p
6.222 * [taylor]: Taking taylor expansion of 2 in p
6.222 * [backup-simplify]: Simplify 2 into 2
6.222 * [taylor]: Taking taylor expansion of p in p
6.222 * [backup-simplify]: Simplify 0 into 0
6.222 * [backup-simplify]: Simplify 1 into 1
6.222 * [backup-simplify]: Simplify (* 2 0) into 0
6.222 * [backup-simplify]: Simplify 0 into 0
6.222 * [taylor]: Taking taylor expansion of 0 in p
6.222 * [backup-simplify]: Simplify 0 into 0
6.222 * [backup-simplify]: Simplify 0 into 0
6.223 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
6.223 * [backup-simplify]: Simplify 2 into 2
6.223 * [backup-simplify]: Simplify (* 1 1) into 1
6.223 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
6.224 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
6.224 * [backup-simplify]: Simplify (+ 1 0) into 1
6.224 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
6.224 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
6.224 * [taylor]: Taking taylor expansion of 1/4 in p
6.224 * [backup-simplify]: Simplify 1/4 into 1/4
6.224 * [taylor]: Taking taylor expansion of p in p
6.225 * [backup-simplify]: Simplify 0 into 0
6.225 * [backup-simplify]: Simplify 1 into 1
6.225 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
6.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
6.229 * [backup-simplify]: Simplify 0 into 0
6.229 * [backup-simplify]: Simplify 0 into 0
6.230 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
6.230 * [backup-simplify]: Simplify 0 into 0
6.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.231 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
6.232 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
6.232 * [backup-simplify]: Simplify (+ 0 0) into 0
6.232 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
6.232 * [taylor]: Taking taylor expansion of 0 in p
6.232 * [backup-simplify]: Simplify 0 into 0
6.232 * [backup-simplify]: Simplify 0 into 0
6.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.233 * [backup-simplify]: Simplify 0 into 0
6.233 * [backup-simplify]: Simplify 0 into 0
6.233 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
6.233 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
6.233 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
6.233 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
6.233 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
6.233 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
6.233 * [taylor]: Taking taylor expansion of 4 in p
6.233 * [backup-simplify]: Simplify 4 into 4
6.233 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
6.233 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.233 * [taylor]: Taking taylor expansion of p in p
6.233 * [backup-simplify]: Simplify 0 into 0
6.233 * [backup-simplify]: Simplify 1 into 1
6.234 * [backup-simplify]: Simplify (* 1 1) into 1
6.234 * [backup-simplify]: Simplify (/ 1 1) into 1
6.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
6.234 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.234 * [taylor]: Taking taylor expansion of x in p
6.234 * [backup-simplify]: Simplify x into x
6.234 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.234 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.234 * [backup-simplify]: Simplify (* 4 1) into 4
6.235 * [backup-simplify]: Simplify (+ 4 0) into 4
6.235 * [backup-simplify]: Simplify (sqrt 4) into 2
6.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.236 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
6.236 * [backup-simplify]: Simplify (+ 0 0) into 0
6.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
6.237 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.237 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.237 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.237 * [taylor]: Taking taylor expansion of 4 in x
6.237 * [backup-simplify]: Simplify 4 into 4
6.237 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.237 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.237 * [taylor]: Taking taylor expansion of p in x
6.237 * [backup-simplify]: Simplify p into p
6.237 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.237 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.237 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.237 * [taylor]: Taking taylor expansion of x in x
6.237 * [backup-simplify]: Simplify 0 into 0
6.237 * [backup-simplify]: Simplify 1 into 1
6.237 * [backup-simplify]: Simplify (* 1 1) into 1
6.238 * [backup-simplify]: Simplify (/ 1 1) into 1
6.238 * [backup-simplify]: Simplify (+ 0 1) into 1
6.238 * [backup-simplify]: Simplify (sqrt 1) into 1
6.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.239 * [backup-simplify]: Simplify (+ 0 0) into 0
6.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.240 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.240 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.240 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.240 * [taylor]: Taking taylor expansion of 4 in x
6.240 * [backup-simplify]: Simplify 4 into 4
6.240 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.240 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.240 * [taylor]: Taking taylor expansion of p in x
6.240 * [backup-simplify]: Simplify p into p
6.240 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.240 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.240 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.240 * [taylor]: Taking taylor expansion of x in x
6.240 * [backup-simplify]: Simplify 0 into 0
6.240 * [backup-simplify]: Simplify 1 into 1
6.240 * [backup-simplify]: Simplify (* 1 1) into 1
6.241 * [backup-simplify]: Simplify (/ 1 1) into 1
6.241 * [backup-simplify]: Simplify (+ 0 1) into 1
6.241 * [backup-simplify]: Simplify (sqrt 1) into 1
6.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.242 * [backup-simplify]: Simplify (+ 0 0) into 0
6.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.243 * [taylor]: Taking taylor expansion of 1 in p
6.243 * [backup-simplify]: Simplify 1 into 1
6.243 * [taylor]: Taking taylor expansion of 0 in p
6.243 * [backup-simplify]: Simplify 0 into 0
6.243 * [backup-simplify]: Simplify 1 into 1
6.243 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
6.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.244 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
6.245 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
6.245 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
6.245 * [taylor]: Taking taylor expansion of 2 in p
6.245 * [backup-simplify]: Simplify 2 into 2
6.245 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.245 * [taylor]: Taking taylor expansion of p in p
6.245 * [backup-simplify]: Simplify 0 into 0
6.245 * [backup-simplify]: Simplify 1 into 1
6.246 * [backup-simplify]: Simplify (* 1 1) into 1
6.246 * [backup-simplify]: Simplify (/ 2 1) into 2
6.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
6.247 * [backup-simplify]: Simplify 0 into 0
6.247 * [backup-simplify]: Simplify 0 into 0
6.247 * [backup-simplify]: Simplify 0 into 0
6.247 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
6.247 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
6.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.249 * [backup-simplify]: Simplify (+ 0 0) into 0
6.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
6.249 * [taylor]: Taking taylor expansion of 0 in p
6.249 * [backup-simplify]: Simplify 0 into 0
6.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.250 * [backup-simplify]: Simplify 0 into 0
6.250 * [backup-simplify]: Simplify 0 into 0
6.250 * [backup-simplify]: Simplify 0 into 0
6.250 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
6.251 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
6.251 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
6.251 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
6.251 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
6.251 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
6.251 * [taylor]: Taking taylor expansion of 4 in p
6.251 * [backup-simplify]: Simplify 4 into 4
6.251 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
6.251 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.251 * [taylor]: Taking taylor expansion of p in p
6.251 * [backup-simplify]: Simplify 0 into 0
6.251 * [backup-simplify]: Simplify 1 into 1
6.251 * [backup-simplify]: Simplify (* 1 1) into 1
6.251 * [backup-simplify]: Simplify (/ 1 1) into 1
6.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
6.251 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.251 * [taylor]: Taking taylor expansion of x in p
6.251 * [backup-simplify]: Simplify x into x
6.251 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.252 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.252 * [backup-simplify]: Simplify (* 4 1) into 4
6.252 * [backup-simplify]: Simplify (+ 4 0) into 4
6.252 * [backup-simplify]: Simplify (sqrt 4) into 2
6.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.254 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
6.254 * [backup-simplify]: Simplify (+ 0 0) into 0
6.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
6.255 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.255 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.255 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.255 * [taylor]: Taking taylor expansion of 4 in x
6.255 * [backup-simplify]: Simplify 4 into 4
6.255 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.255 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.255 * [taylor]: Taking taylor expansion of p in x
6.255 * [backup-simplify]: Simplify p into p
6.255 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.255 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.255 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.255 * [taylor]: Taking taylor expansion of x in x
6.255 * [backup-simplify]: Simplify 0 into 0
6.255 * [backup-simplify]: Simplify 1 into 1
6.255 * [backup-simplify]: Simplify (* 1 1) into 1
6.256 * [backup-simplify]: Simplify (/ 1 1) into 1
6.256 * [backup-simplify]: Simplify (+ 0 1) into 1
6.256 * [backup-simplify]: Simplify (sqrt 1) into 1
6.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.257 * [backup-simplify]: Simplify (+ 0 0) into 0
6.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.258 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.258 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.258 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.258 * [taylor]: Taking taylor expansion of 4 in x
6.258 * [backup-simplify]: Simplify 4 into 4
6.258 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.258 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.258 * [taylor]: Taking taylor expansion of p in x
6.258 * [backup-simplify]: Simplify p into p
6.258 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.258 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.258 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.258 * [taylor]: Taking taylor expansion of x in x
6.258 * [backup-simplify]: Simplify 0 into 0
6.258 * [backup-simplify]: Simplify 1 into 1
6.258 * [backup-simplify]: Simplify (* 1 1) into 1
6.259 * [backup-simplify]: Simplify (/ 1 1) into 1
6.259 * [backup-simplify]: Simplify (+ 0 1) into 1
6.259 * [backup-simplify]: Simplify (sqrt 1) into 1
6.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.260 * [backup-simplify]: Simplify (+ 0 0) into 0
6.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.261 * [taylor]: Taking taylor expansion of 1 in p
6.261 * [backup-simplify]: Simplify 1 into 1
6.261 * [taylor]: Taking taylor expansion of 0 in p
6.261 * [backup-simplify]: Simplify 0 into 0
6.261 * [backup-simplify]: Simplify 1 into 1
6.261 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
6.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.262 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
6.263 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
6.263 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
6.263 * [taylor]: Taking taylor expansion of 2 in p
6.263 * [backup-simplify]: Simplify 2 into 2
6.263 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.263 * [taylor]: Taking taylor expansion of p in p
6.263 * [backup-simplify]: Simplify 0 into 0
6.263 * [backup-simplify]: Simplify 1 into 1
6.263 * [backup-simplify]: Simplify (* 1 1) into 1
6.264 * [backup-simplify]: Simplify (/ 2 1) into 2
6.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
6.265 * [backup-simplify]: Simplify 0 into 0
6.265 * [backup-simplify]: Simplify 0 into 0
6.265 * [backup-simplify]: Simplify 0 into 0
6.265 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
6.265 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
6.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.267 * [backup-simplify]: Simplify (+ 0 0) into 0
6.267 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
6.267 * [taylor]: Taking taylor expansion of 0 in p
6.267 * [backup-simplify]: Simplify 0 into 0
6.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.268 * [backup-simplify]: Simplify 0 into 0
6.268 * [backup-simplify]: Simplify 0 into 0
6.268 * [backup-simplify]: Simplify 0 into 0
6.268 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
6.268 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 2 2 2 1)
6.269 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
6.269 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
6.269 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
6.269 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
6.269 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.269 * [taylor]: Taking taylor expansion of x in p
6.269 * [backup-simplify]: Simplify x into x
6.269 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
6.269 * [taylor]: Taking taylor expansion of 4 in p
6.269 * [backup-simplify]: Simplify 4 into 4
6.269 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.269 * [taylor]: Taking taylor expansion of p in p
6.269 * [backup-simplify]: Simplify 0 into 0
6.269 * [backup-simplify]: Simplify 1 into 1
6.269 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.269 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
6.269 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
6.269 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
6.269 * [backup-simplify]: Simplify (+ 0 0) into 0
6.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
6.269 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
6.269 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
6.269 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.269 * [taylor]: Taking taylor expansion of x in x
6.269 * [backup-simplify]: Simplify 0 into 0
6.269 * [backup-simplify]: Simplify 1 into 1
6.269 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
6.269 * [taylor]: Taking taylor expansion of 4 in x
6.269 * [backup-simplify]: Simplify 4 into 4
6.269 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.270 * [taylor]: Taking taylor expansion of p in x
6.270 * [backup-simplify]: Simplify p into p
6.270 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.270 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
6.270 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
6.270 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
6.270 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.270 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
6.270 * [backup-simplify]: Simplify (+ 0 0) into 0
6.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
6.270 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
6.270 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
6.271 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.271 * [taylor]: Taking taylor expansion of x in x
6.271 * [backup-simplify]: Simplify 0 into 0
6.271 * [backup-simplify]: Simplify 1 into 1
6.271 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
6.271 * [taylor]: Taking taylor expansion of 4 in x
6.271 * [backup-simplify]: Simplify 4 into 4
6.271 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.271 * [taylor]: Taking taylor expansion of p in x
6.271 * [backup-simplify]: Simplify p into p
6.271 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.271 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
6.271 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
6.271 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
6.271 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.271 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
6.271 * [backup-simplify]: Simplify (+ 0 0) into 0
6.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
6.272 * [taylor]: Taking taylor expansion of (* 2 p) in p
6.272 * [taylor]: Taking taylor expansion of 2 in p
6.272 * [backup-simplify]: Simplify 2 into 2
6.272 * [taylor]: Taking taylor expansion of p in p
6.272 * [backup-simplify]: Simplify 0 into 0
6.272 * [backup-simplify]: Simplify 1 into 1
6.272 * [backup-simplify]: Simplify (* 2 0) into 0
6.272 * [backup-simplify]: Simplify 0 into 0
6.272 * [taylor]: Taking taylor expansion of 0 in p
6.272 * [backup-simplify]: Simplify 0 into 0
6.272 * [backup-simplify]: Simplify 0 into 0
6.272 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
6.273 * [backup-simplify]: Simplify 2 into 2
6.273 * [backup-simplify]: Simplify (* 1 1) into 1
6.273 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
6.274 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
6.274 * [backup-simplify]: Simplify (+ 1 0) into 1
6.274 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
6.274 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
6.274 * [taylor]: Taking taylor expansion of 1/4 in p
6.274 * [backup-simplify]: Simplify 1/4 into 1/4
6.274 * [taylor]: Taking taylor expansion of p in p
6.274 * [backup-simplify]: Simplify 0 into 0
6.274 * [backup-simplify]: Simplify 1 into 1
6.275 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
6.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
6.275 * [backup-simplify]: Simplify 0 into 0
6.275 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
6.276 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.277 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
6.278 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
6.278 * [backup-simplify]: Simplify (+ 0 0) into 0
6.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
6.278 * [taylor]: Taking taylor expansion of 0 in p
6.278 * [backup-simplify]: Simplify 0 into 0
6.278 * [backup-simplify]: Simplify 0 into 0
6.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.279 * [backup-simplify]: Simplify 0 into 0
6.279 * [backup-simplify]: Simplify 0 into 0
6.279 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
6.279 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
6.279 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
6.279 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
6.279 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
6.279 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
6.279 * [taylor]: Taking taylor expansion of 4 in p
6.279 * [backup-simplify]: Simplify 4 into 4
6.279 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
6.279 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.279 * [taylor]: Taking taylor expansion of p in p
6.279 * [backup-simplify]: Simplify 0 into 0
6.279 * [backup-simplify]: Simplify 1 into 1
6.279 * [backup-simplify]: Simplify (* 1 1) into 1
6.280 * [backup-simplify]: Simplify (/ 1 1) into 1
6.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
6.280 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.280 * [taylor]: Taking taylor expansion of x in p
6.280 * [backup-simplify]: Simplify x into x
6.280 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.280 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.280 * [backup-simplify]: Simplify (* 4 1) into 4
6.280 * [backup-simplify]: Simplify (+ 4 0) into 4
6.281 * [backup-simplify]: Simplify (sqrt 4) into 2
6.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.282 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
6.282 * [backup-simplify]: Simplify (+ 0 0) into 0
6.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
6.283 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.283 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.283 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.283 * [taylor]: Taking taylor expansion of 4 in x
6.283 * [backup-simplify]: Simplify 4 into 4
6.283 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.283 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.283 * [taylor]: Taking taylor expansion of p in x
6.283 * [backup-simplify]: Simplify p into p
6.283 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.283 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.283 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.283 * [taylor]: Taking taylor expansion of x in x
6.283 * [backup-simplify]: Simplify 0 into 0
6.283 * [backup-simplify]: Simplify 1 into 1
6.283 * [backup-simplify]: Simplify (* 1 1) into 1
6.283 * [backup-simplify]: Simplify (/ 1 1) into 1
6.284 * [backup-simplify]: Simplify (+ 0 1) into 1
6.284 * [backup-simplify]: Simplify (sqrt 1) into 1
6.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.285 * [backup-simplify]: Simplify (+ 0 0) into 0
6.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.285 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.285 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.285 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.285 * [taylor]: Taking taylor expansion of 4 in x
6.286 * [backup-simplify]: Simplify 4 into 4
6.286 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.286 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.286 * [taylor]: Taking taylor expansion of p in x
6.286 * [backup-simplify]: Simplify p into p
6.286 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.286 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.286 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.286 * [taylor]: Taking taylor expansion of x in x
6.286 * [backup-simplify]: Simplify 0 into 0
6.286 * [backup-simplify]: Simplify 1 into 1
6.286 * [backup-simplify]: Simplify (* 1 1) into 1
6.286 * [backup-simplify]: Simplify (/ 1 1) into 1
6.287 * [backup-simplify]: Simplify (+ 0 1) into 1
6.287 * [backup-simplify]: Simplify (sqrt 1) into 1
6.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.288 * [backup-simplify]: Simplify (+ 0 0) into 0
6.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.288 * [taylor]: Taking taylor expansion of 1 in p
6.288 * [backup-simplify]: Simplify 1 into 1
6.288 * [taylor]: Taking taylor expansion of 0 in p
6.288 * [backup-simplify]: Simplify 0 into 0
6.288 * [backup-simplify]: Simplify 1 into 1
6.289 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
6.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.290 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
6.290 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
6.290 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
6.291 * [taylor]: Taking taylor expansion of 2 in p
6.291 * [backup-simplify]: Simplify 2 into 2
6.291 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.291 * [taylor]: Taking taylor expansion of p in p
6.291 * [backup-simplify]: Simplify 0 into 0
6.291 * [backup-simplify]: Simplify 1 into 1
6.291 * [backup-simplify]: Simplify (* 1 1) into 1
6.291 * [backup-simplify]: Simplify (/ 2 1) into 2
6.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
6.292 * [backup-simplify]: Simplify 0 into 0
6.292 * [backup-simplify]: Simplify 0 into 0
6.292 * [backup-simplify]: Simplify 0 into 0
6.292 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
6.293 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
6.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.295 * [backup-simplify]: Simplify (+ 0 0) into 0
6.295 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
6.295 * [taylor]: Taking taylor expansion of 0 in p
6.295 * [backup-simplify]: Simplify 0 into 0
6.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.297 * [backup-simplify]: Simplify 0 into 0
6.297 * [backup-simplify]: Simplify 0 into 0
6.297 * [backup-simplify]: Simplify 0 into 0
6.297 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
6.297 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
6.297 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
6.297 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
6.297 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
6.297 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
6.297 * [taylor]: Taking taylor expansion of 4 in p
6.297 * [backup-simplify]: Simplify 4 into 4
6.297 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
6.297 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.297 * [taylor]: Taking taylor expansion of p in p
6.297 * [backup-simplify]: Simplify 0 into 0
6.297 * [backup-simplify]: Simplify 1 into 1
6.297 * [backup-simplify]: Simplify (* 1 1) into 1
6.298 * [backup-simplify]: Simplify (/ 1 1) into 1
6.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
6.298 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.298 * [taylor]: Taking taylor expansion of x in p
6.298 * [backup-simplify]: Simplify x into x
6.298 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.298 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.298 * [backup-simplify]: Simplify (* 4 1) into 4
6.298 * [backup-simplify]: Simplify (+ 4 0) into 4
6.299 * [backup-simplify]: Simplify (sqrt 4) into 2
6.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.300 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
6.300 * [backup-simplify]: Simplify (+ 0 0) into 0
6.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
6.301 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.301 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.301 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.301 * [taylor]: Taking taylor expansion of 4 in x
6.301 * [backup-simplify]: Simplify 4 into 4
6.301 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.301 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.301 * [taylor]: Taking taylor expansion of p in x
6.301 * [backup-simplify]: Simplify p into p
6.301 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.301 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.301 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.301 * [taylor]: Taking taylor expansion of x in x
6.301 * [backup-simplify]: Simplify 0 into 0
6.301 * [backup-simplify]: Simplify 1 into 1
6.301 * [backup-simplify]: Simplify (* 1 1) into 1
6.301 * [backup-simplify]: Simplify (/ 1 1) into 1
6.302 * [backup-simplify]: Simplify (+ 0 1) into 1
6.302 * [backup-simplify]: Simplify (sqrt 1) into 1
6.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.303 * [backup-simplify]: Simplify (+ 0 0) into 0
6.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.303 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.303 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.304 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.304 * [taylor]: Taking taylor expansion of 4 in x
6.304 * [backup-simplify]: Simplify 4 into 4
6.304 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.304 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.304 * [taylor]: Taking taylor expansion of p in x
6.304 * [backup-simplify]: Simplify p into p
6.304 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.304 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.304 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.304 * [taylor]: Taking taylor expansion of x in x
6.304 * [backup-simplify]: Simplify 0 into 0
6.304 * [backup-simplify]: Simplify 1 into 1
6.304 * [backup-simplify]: Simplify (* 1 1) into 1
6.304 * [backup-simplify]: Simplify (/ 1 1) into 1
6.305 * [backup-simplify]: Simplify (+ 0 1) into 1
6.305 * [backup-simplify]: Simplify (sqrt 1) into 1
6.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.306 * [backup-simplify]: Simplify (+ 0 0) into 0
6.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.306 * [taylor]: Taking taylor expansion of 1 in p
6.306 * [backup-simplify]: Simplify 1 into 1
6.306 * [taylor]: Taking taylor expansion of 0 in p
6.306 * [backup-simplify]: Simplify 0 into 0
6.306 * [backup-simplify]: Simplify 1 into 1
6.307 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
6.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.308 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
6.308 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
6.309 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
6.309 * [taylor]: Taking taylor expansion of 2 in p
6.309 * [backup-simplify]: Simplify 2 into 2
6.309 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.309 * [taylor]: Taking taylor expansion of p in p
6.309 * [backup-simplify]: Simplify 0 into 0
6.309 * [backup-simplify]: Simplify 1 into 1
6.309 * [backup-simplify]: Simplify (* 1 1) into 1
6.309 * [backup-simplify]: Simplify (/ 2 1) into 2
6.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
6.310 * [backup-simplify]: Simplify 0 into 0
6.310 * [backup-simplify]: Simplify 0 into 0
6.310 * [backup-simplify]: Simplify 0 into 0
6.310 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
6.311 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
6.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.312 * [backup-simplify]: Simplify (+ 0 0) into 0
6.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
6.312 * [taylor]: Taking taylor expansion of 0 in p
6.312 * [backup-simplify]: Simplify 0 into 0
6.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.314 * [backup-simplify]: Simplify 0 into 0
6.314 * [backup-simplify]: Simplify 0 into 0
6.314 * [backup-simplify]: Simplify 0 into 0
6.314 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
6.314 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1 2 2 1 2 1)
6.314 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
6.314 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
6.314 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
6.314 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
6.314 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.314 * [taylor]: Taking taylor expansion of x in p
6.314 * [backup-simplify]: Simplify x into x
6.314 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
6.314 * [taylor]: Taking taylor expansion of 4 in p
6.314 * [backup-simplify]: Simplify 4 into 4
6.314 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.314 * [taylor]: Taking taylor expansion of p in p
6.314 * [backup-simplify]: Simplify 0 into 0
6.314 * [backup-simplify]: Simplify 1 into 1
6.314 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.314 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
6.314 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
6.314 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
6.315 * [backup-simplify]: Simplify (+ 0 0) into 0
6.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
6.315 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
6.315 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
6.315 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.315 * [taylor]: Taking taylor expansion of x in x
6.315 * [backup-simplify]: Simplify 0 into 0
6.315 * [backup-simplify]: Simplify 1 into 1
6.315 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
6.315 * [taylor]: Taking taylor expansion of 4 in x
6.315 * [backup-simplify]: Simplify 4 into 4
6.315 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.315 * [taylor]: Taking taylor expansion of p in x
6.315 * [backup-simplify]: Simplify p into p
6.315 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.315 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
6.315 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
6.315 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
6.315 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.315 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
6.316 * [backup-simplify]: Simplify (+ 0 0) into 0
6.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
6.316 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
6.316 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
6.316 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.316 * [taylor]: Taking taylor expansion of x in x
6.316 * [backup-simplify]: Simplify 0 into 0
6.316 * [backup-simplify]: Simplify 1 into 1
6.316 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
6.316 * [taylor]: Taking taylor expansion of 4 in x
6.316 * [backup-simplify]: Simplify 4 into 4
6.316 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.316 * [taylor]: Taking taylor expansion of p in x
6.316 * [backup-simplify]: Simplify p into p
6.316 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.316 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
6.316 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
6.316 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
6.316 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.317 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
6.317 * [backup-simplify]: Simplify (+ 0 0) into 0
6.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
6.317 * [taylor]: Taking taylor expansion of (* 2 p) in p
6.317 * [taylor]: Taking taylor expansion of 2 in p
6.317 * [backup-simplify]: Simplify 2 into 2
6.317 * [taylor]: Taking taylor expansion of p in p
6.317 * [backup-simplify]: Simplify 0 into 0
6.317 * [backup-simplify]: Simplify 1 into 1
6.317 * [backup-simplify]: Simplify (* 2 0) into 0
6.317 * [backup-simplify]: Simplify 0 into 0
6.317 * [taylor]: Taking taylor expansion of 0 in p
6.317 * [backup-simplify]: Simplify 0 into 0
6.317 * [backup-simplify]: Simplify 0 into 0
6.318 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
6.318 * [backup-simplify]: Simplify 2 into 2
6.318 * [backup-simplify]: Simplify (* 1 1) into 1
6.318 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
6.319 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
6.319 * [backup-simplify]: Simplify (+ 1 0) into 1
6.320 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
6.320 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
6.320 * [taylor]: Taking taylor expansion of 1/4 in p
6.320 * [backup-simplify]: Simplify 1/4 into 1/4
6.320 * [taylor]: Taking taylor expansion of p in p
6.320 * [backup-simplify]: Simplify 0 into 0
6.320 * [backup-simplify]: Simplify 1 into 1
6.320 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
6.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
6.325 * [backup-simplify]: Simplify 0 into 0
6.325 * [backup-simplify]: Simplify 0 into 0
6.326 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
6.326 * [backup-simplify]: Simplify 0 into 0
6.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.327 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
6.328 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
6.328 * [backup-simplify]: Simplify (+ 0 0) into 0
6.328 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
6.328 * [taylor]: Taking taylor expansion of 0 in p
6.328 * [backup-simplify]: Simplify 0 into 0
6.329 * [backup-simplify]: Simplify 0 into 0
6.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.330 * [backup-simplify]: Simplify 0 into 0
6.330 * [backup-simplify]: Simplify 0 into 0
6.330 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
6.330 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
6.330 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
6.330 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
6.330 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
6.330 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
6.330 * [taylor]: Taking taylor expansion of 4 in p
6.330 * [backup-simplify]: Simplify 4 into 4
6.330 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
6.330 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.330 * [taylor]: Taking taylor expansion of p in p
6.330 * [backup-simplify]: Simplify 0 into 0
6.330 * [backup-simplify]: Simplify 1 into 1
6.331 * [backup-simplify]: Simplify (* 1 1) into 1
6.331 * [backup-simplify]: Simplify (/ 1 1) into 1
6.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
6.331 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.331 * [taylor]: Taking taylor expansion of x in p
6.331 * [backup-simplify]: Simplify x into x
6.331 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.331 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.332 * [backup-simplify]: Simplify (* 4 1) into 4
6.332 * [backup-simplify]: Simplify (+ 4 0) into 4
6.332 * [backup-simplify]: Simplify (sqrt 4) into 2
6.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.334 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
6.335 * [backup-simplify]: Simplify (+ 0 0) into 0
6.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
6.335 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.335 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.336 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.336 * [taylor]: Taking taylor expansion of 4 in x
6.336 * [backup-simplify]: Simplify 4 into 4
6.336 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.336 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.336 * [taylor]: Taking taylor expansion of p in x
6.336 * [backup-simplify]: Simplify p into p
6.336 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.336 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.336 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.336 * [taylor]: Taking taylor expansion of x in x
6.336 * [backup-simplify]: Simplify 0 into 0
6.336 * [backup-simplify]: Simplify 1 into 1
6.336 * [backup-simplify]: Simplify (* 1 1) into 1
6.337 * [backup-simplify]: Simplify (/ 1 1) into 1
6.337 * [backup-simplify]: Simplify (+ 0 1) into 1
6.337 * [backup-simplify]: Simplify (sqrt 1) into 1
6.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.339 * [backup-simplify]: Simplify (+ 0 0) into 0
6.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.340 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.340 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.340 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.340 * [taylor]: Taking taylor expansion of 4 in x
6.340 * [backup-simplify]: Simplify 4 into 4
6.340 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.340 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.340 * [taylor]: Taking taylor expansion of p in x
6.340 * [backup-simplify]: Simplify p into p
6.340 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.340 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.340 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.340 * [taylor]: Taking taylor expansion of x in x
6.340 * [backup-simplify]: Simplify 0 into 0
6.340 * [backup-simplify]: Simplify 1 into 1
6.341 * [backup-simplify]: Simplify (* 1 1) into 1
6.341 * [backup-simplify]: Simplify (/ 1 1) into 1
6.342 * [backup-simplify]: Simplify (+ 0 1) into 1
6.342 * [backup-simplify]: Simplify (sqrt 1) into 1
6.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.344 * [backup-simplify]: Simplify (+ 0 0) into 0
6.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.345 * [taylor]: Taking taylor expansion of 1 in p
6.345 * [backup-simplify]: Simplify 1 into 1
6.345 * [taylor]: Taking taylor expansion of 0 in p
6.345 * [backup-simplify]: Simplify 0 into 0
6.345 * [backup-simplify]: Simplify 1 into 1
6.345 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
6.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.347 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
6.348 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
6.348 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
6.348 * [taylor]: Taking taylor expansion of 2 in p
6.348 * [backup-simplify]: Simplify 2 into 2
6.348 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.348 * [taylor]: Taking taylor expansion of p in p
6.349 * [backup-simplify]: Simplify 0 into 0
6.349 * [backup-simplify]: Simplify 1 into 1
6.349 * [backup-simplify]: Simplify (* 1 1) into 1
6.349 * [backup-simplify]: Simplify (/ 2 1) into 2
6.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
6.351 * [backup-simplify]: Simplify 0 into 0
6.351 * [backup-simplify]: Simplify 0 into 0
6.351 * [backup-simplify]: Simplify 0 into 0
6.351 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
6.352 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
6.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.354 * [backup-simplify]: Simplify (+ 0 0) into 0
6.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
6.355 * [taylor]: Taking taylor expansion of 0 in p
6.355 * [backup-simplify]: Simplify 0 into 0
6.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.357 * [backup-simplify]: Simplify 0 into 0
6.357 * [backup-simplify]: Simplify 0 into 0
6.357 * [backup-simplify]: Simplify 0 into 0
6.357 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
6.357 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
6.357 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
6.357 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
6.357 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
6.357 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
6.357 * [taylor]: Taking taylor expansion of 4 in p
6.357 * [backup-simplify]: Simplify 4 into 4
6.358 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
6.358 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.358 * [taylor]: Taking taylor expansion of p in p
6.358 * [backup-simplify]: Simplify 0 into 0
6.358 * [backup-simplify]: Simplify 1 into 1
6.358 * [backup-simplify]: Simplify (* 1 1) into 1
6.358 * [backup-simplify]: Simplify (/ 1 1) into 1
6.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
6.358 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.358 * [taylor]: Taking taylor expansion of x in p
6.359 * [backup-simplify]: Simplify x into x
6.359 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.359 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.359 * [backup-simplify]: Simplify (* 4 1) into 4
6.360 * [backup-simplify]: Simplify (+ 4 0) into 4
6.360 * [backup-simplify]: Simplify (sqrt 4) into 2
6.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.362 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
6.362 * [backup-simplify]: Simplify (+ 0 0) into 0
6.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
6.363 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.363 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.363 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.363 * [taylor]: Taking taylor expansion of 4 in x
6.363 * [backup-simplify]: Simplify 4 into 4
6.363 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.363 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.363 * [taylor]: Taking taylor expansion of p in x
6.363 * [backup-simplify]: Simplify p into p
6.363 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.364 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.364 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.364 * [taylor]: Taking taylor expansion of x in x
6.364 * [backup-simplify]: Simplify 0 into 0
6.364 * [backup-simplify]: Simplify 1 into 1
6.364 * [backup-simplify]: Simplify (* 1 1) into 1
6.364 * [backup-simplify]: Simplify (/ 1 1) into 1
6.365 * [backup-simplify]: Simplify (+ 0 1) into 1
6.365 * [backup-simplify]: Simplify (sqrt 1) into 1
6.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.367 * [backup-simplify]: Simplify (+ 0 0) into 0
6.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.368 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.368 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.368 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.368 * [taylor]: Taking taylor expansion of 4 in x
6.368 * [backup-simplify]: Simplify 4 into 4
6.368 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.368 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.368 * [taylor]: Taking taylor expansion of p in x
6.368 * [backup-simplify]: Simplify p into p
6.368 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.368 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.368 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.368 * [taylor]: Taking taylor expansion of x in x
6.368 * [backup-simplify]: Simplify 0 into 0
6.368 * [backup-simplify]: Simplify 1 into 1
6.369 * [backup-simplify]: Simplify (* 1 1) into 1
6.369 * [backup-simplify]: Simplify (/ 1 1) into 1
6.370 * [backup-simplify]: Simplify (+ 0 1) into 1
6.370 * [backup-simplify]: Simplify (sqrt 1) into 1
6.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.371 * [backup-simplify]: Simplify (+ 0 0) into 0
6.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.372 * [taylor]: Taking taylor expansion of 1 in p
6.372 * [backup-simplify]: Simplify 1 into 1
6.372 * [taylor]: Taking taylor expansion of 0 in p
6.372 * [backup-simplify]: Simplify 0 into 0
6.372 * [backup-simplify]: Simplify 1 into 1
6.372 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
6.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.373 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
6.374 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
6.374 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
6.374 * [taylor]: Taking taylor expansion of 2 in p
6.374 * [backup-simplify]: Simplify 2 into 2
6.374 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.374 * [taylor]: Taking taylor expansion of p in p
6.374 * [backup-simplify]: Simplify 0 into 0
6.374 * [backup-simplify]: Simplify 1 into 1
6.374 * [backup-simplify]: Simplify (* 1 1) into 1
6.374 * [backup-simplify]: Simplify (/ 2 1) into 2
6.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
6.375 * [backup-simplify]: Simplify 0 into 0
6.375 * [backup-simplify]: Simplify 0 into 0
6.375 * [backup-simplify]: Simplify 0 into 0
6.376 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
6.376 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
6.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.377 * [backup-simplify]: Simplify (+ 0 0) into 0
6.378 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
6.378 * [taylor]: Taking taylor expansion of 0 in p
6.378 * [backup-simplify]: Simplify 0 into 0
6.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.379 * [backup-simplify]: Simplify 0 into 0
6.379 * [backup-simplify]: Simplify 0 into 0
6.379 * [backup-simplify]: Simplify 0 into 0
6.379 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
6.379 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1 2 2 1 1 1)
6.379 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
6.379 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
6.379 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
6.379 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
6.379 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.379 * [taylor]: Taking taylor expansion of x in p
6.379 * [backup-simplify]: Simplify x into x
6.379 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
6.379 * [taylor]: Taking taylor expansion of 4 in p
6.380 * [backup-simplify]: Simplify 4 into 4
6.380 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.380 * [taylor]: Taking taylor expansion of p in p
6.380 * [backup-simplify]: Simplify 0 into 0
6.380 * [backup-simplify]: Simplify 1 into 1
6.380 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.380 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
6.380 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
6.380 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
6.380 * [backup-simplify]: Simplify (+ 0 0) into 0
6.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
6.380 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
6.380 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
6.380 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.380 * [taylor]: Taking taylor expansion of x in x
6.380 * [backup-simplify]: Simplify 0 into 0
6.380 * [backup-simplify]: Simplify 1 into 1
6.380 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
6.380 * [taylor]: Taking taylor expansion of 4 in x
6.380 * [backup-simplify]: Simplify 4 into 4
6.380 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.380 * [taylor]: Taking taylor expansion of p in x
6.380 * [backup-simplify]: Simplify p into p
6.380 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.380 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
6.380 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
6.381 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
6.381 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.381 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
6.381 * [backup-simplify]: Simplify (+ 0 0) into 0
6.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
6.381 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
6.381 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
6.381 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.381 * [taylor]: Taking taylor expansion of x in x
6.381 * [backup-simplify]: Simplify 0 into 0
6.381 * [backup-simplify]: Simplify 1 into 1
6.381 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
6.381 * [taylor]: Taking taylor expansion of 4 in x
6.381 * [backup-simplify]: Simplify 4 into 4
6.381 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.381 * [taylor]: Taking taylor expansion of p in x
6.381 * [backup-simplify]: Simplify p into p
6.381 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.381 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
6.382 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
6.382 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
6.382 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.382 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
6.382 * [backup-simplify]: Simplify (+ 0 0) into 0
6.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
6.382 * [taylor]: Taking taylor expansion of (* 2 p) in p
6.382 * [taylor]: Taking taylor expansion of 2 in p
6.382 * [backup-simplify]: Simplify 2 into 2
6.382 * [taylor]: Taking taylor expansion of p in p
6.382 * [backup-simplify]: Simplify 0 into 0
6.382 * [backup-simplify]: Simplify 1 into 1
6.383 * [backup-simplify]: Simplify (* 2 0) into 0
6.383 * [backup-simplify]: Simplify 0 into 0
6.383 * [taylor]: Taking taylor expansion of 0 in p
6.383 * [backup-simplify]: Simplify 0 into 0
6.383 * [backup-simplify]: Simplify 0 into 0
6.383 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
6.383 * [backup-simplify]: Simplify 2 into 2
6.384 * [backup-simplify]: Simplify (* 1 1) into 1
6.384 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
6.384 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
6.385 * [backup-simplify]: Simplify (+ 1 0) into 1
6.385 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
6.385 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
6.385 * [taylor]: Taking taylor expansion of 1/4 in p
6.385 * [backup-simplify]: Simplify 1/4 into 1/4
6.385 * [taylor]: Taking taylor expansion of p in p
6.385 * [backup-simplify]: Simplify 0 into 0
6.385 * [backup-simplify]: Simplify 1 into 1
6.386 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
6.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
6.386 * [backup-simplify]: Simplify 0 into 0
6.386 * [backup-simplify]: Simplify 0 into 0
6.387 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
6.387 * [backup-simplify]: Simplify 0 into 0
6.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.388 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
6.389 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
6.389 * [backup-simplify]: Simplify (+ 0 0) into 0
6.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
6.389 * [taylor]: Taking taylor expansion of 0 in p
6.389 * [backup-simplify]: Simplify 0 into 0
6.389 * [backup-simplify]: Simplify 0 into 0
6.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.390 * [backup-simplify]: Simplify 0 into 0
6.390 * [backup-simplify]: Simplify 0 into 0
6.390 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
6.390 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
6.390 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
6.390 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
6.390 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
6.390 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
6.390 * [taylor]: Taking taylor expansion of 4 in p
6.390 * [backup-simplify]: Simplify 4 into 4
6.390 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
6.390 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.390 * [taylor]: Taking taylor expansion of p in p
6.390 * [backup-simplify]: Simplify 0 into 0
6.390 * [backup-simplify]: Simplify 1 into 1
6.390 * [backup-simplify]: Simplify (* 1 1) into 1
6.390 * [backup-simplify]: Simplify (/ 1 1) into 1
6.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
6.391 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.391 * [taylor]: Taking taylor expansion of x in p
6.391 * [backup-simplify]: Simplify x into x
6.391 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.391 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.391 * [backup-simplify]: Simplify (* 4 1) into 4
6.391 * [backup-simplify]: Simplify (+ 4 0) into 4
6.391 * [backup-simplify]: Simplify (sqrt 4) into 2
6.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.393 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
6.393 * [backup-simplify]: Simplify (+ 0 0) into 0
6.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
6.393 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.393 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.393 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.393 * [taylor]: Taking taylor expansion of 4 in x
6.394 * [backup-simplify]: Simplify 4 into 4
6.394 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.394 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.394 * [taylor]: Taking taylor expansion of p in x
6.394 * [backup-simplify]: Simplify p into p
6.394 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.394 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.394 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.394 * [taylor]: Taking taylor expansion of x in x
6.394 * [backup-simplify]: Simplify 0 into 0
6.394 * [backup-simplify]: Simplify 1 into 1
6.394 * [backup-simplify]: Simplify (* 1 1) into 1
6.394 * [backup-simplify]: Simplify (/ 1 1) into 1
6.395 * [backup-simplify]: Simplify (+ 0 1) into 1
6.395 * [backup-simplify]: Simplify (sqrt 1) into 1
6.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.396 * [backup-simplify]: Simplify (+ 0 0) into 0
6.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.396 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.396 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.396 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.396 * [taylor]: Taking taylor expansion of 4 in x
6.396 * [backup-simplify]: Simplify 4 into 4
6.396 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.396 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.396 * [taylor]: Taking taylor expansion of p in x
6.396 * [backup-simplify]: Simplify p into p
6.396 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.397 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.397 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.397 * [taylor]: Taking taylor expansion of x in x
6.397 * [backup-simplify]: Simplify 0 into 0
6.397 * [backup-simplify]: Simplify 1 into 1
6.397 * [backup-simplify]: Simplify (* 1 1) into 1
6.397 * [backup-simplify]: Simplify (/ 1 1) into 1
6.397 * [backup-simplify]: Simplify (+ 0 1) into 1
6.398 * [backup-simplify]: Simplify (sqrt 1) into 1
6.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.399 * [backup-simplify]: Simplify (+ 0 0) into 0
6.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.399 * [taylor]: Taking taylor expansion of 1 in p
6.399 * [backup-simplify]: Simplify 1 into 1
6.399 * [taylor]: Taking taylor expansion of 0 in p
6.399 * [backup-simplify]: Simplify 0 into 0
6.399 * [backup-simplify]: Simplify 1 into 1
6.399 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
6.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.401 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
6.401 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
6.401 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
6.401 * [taylor]: Taking taylor expansion of 2 in p
6.401 * [backup-simplify]: Simplify 2 into 2
6.401 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.401 * [taylor]: Taking taylor expansion of p in p
6.401 * [backup-simplify]: Simplify 0 into 0
6.401 * [backup-simplify]: Simplify 1 into 1
6.402 * [backup-simplify]: Simplify (* 1 1) into 1
6.402 * [backup-simplify]: Simplify (/ 2 1) into 2
6.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
6.403 * [backup-simplify]: Simplify 0 into 0
6.403 * [backup-simplify]: Simplify 0 into 0
6.403 * [backup-simplify]: Simplify 0 into 0
6.403 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
6.403 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
6.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.405 * [backup-simplify]: Simplify (+ 0 0) into 0
6.405 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
6.405 * [taylor]: Taking taylor expansion of 0 in p
6.405 * [backup-simplify]: Simplify 0 into 0
6.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.407 * [backup-simplify]: Simplify 0 into 0
6.407 * [backup-simplify]: Simplify 0 into 0
6.407 * [backup-simplify]: Simplify 0 into 0
6.407 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
6.407 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
6.407 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
6.407 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
6.407 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
6.407 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
6.407 * [taylor]: Taking taylor expansion of 4 in p
6.407 * [backup-simplify]: Simplify 4 into 4
6.407 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
6.407 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.407 * [taylor]: Taking taylor expansion of p in p
6.407 * [backup-simplify]: Simplify 0 into 0
6.407 * [backup-simplify]: Simplify 1 into 1
6.407 * [backup-simplify]: Simplify (* 1 1) into 1
6.408 * [backup-simplify]: Simplify (/ 1 1) into 1
6.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
6.408 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.408 * [taylor]: Taking taylor expansion of x in p
6.408 * [backup-simplify]: Simplify x into x
6.408 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.408 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.408 * [backup-simplify]: Simplify (* 4 1) into 4
6.408 * [backup-simplify]: Simplify (+ 4 0) into 4
6.409 * [backup-simplify]: Simplify (sqrt 4) into 2
6.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.410 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
6.410 * [backup-simplify]: Simplify (+ 0 0) into 0
6.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
6.411 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.411 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.411 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.411 * [taylor]: Taking taylor expansion of 4 in x
6.411 * [backup-simplify]: Simplify 4 into 4
6.411 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.411 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.411 * [taylor]: Taking taylor expansion of p in x
6.411 * [backup-simplify]: Simplify p into p
6.411 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.411 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.411 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.411 * [taylor]: Taking taylor expansion of x in x
6.411 * [backup-simplify]: Simplify 0 into 0
6.411 * [backup-simplify]: Simplify 1 into 1
6.411 * [backup-simplify]: Simplify (* 1 1) into 1
6.411 * [backup-simplify]: Simplify (/ 1 1) into 1
6.412 * [backup-simplify]: Simplify (+ 0 1) into 1
6.412 * [backup-simplify]: Simplify (sqrt 1) into 1
6.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.413 * [backup-simplify]: Simplify (+ 0 0) into 0
6.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.414 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.414 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.414 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.414 * [taylor]: Taking taylor expansion of 4 in x
6.414 * [backup-simplify]: Simplify 4 into 4
6.414 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.414 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.414 * [taylor]: Taking taylor expansion of p in x
6.414 * [backup-simplify]: Simplify p into p
6.414 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.414 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.414 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.414 * [taylor]: Taking taylor expansion of x in x
6.414 * [backup-simplify]: Simplify 0 into 0
6.414 * [backup-simplify]: Simplify 1 into 1
6.414 * [backup-simplify]: Simplify (* 1 1) into 1
6.414 * [backup-simplify]: Simplify (/ 1 1) into 1
6.415 * [backup-simplify]: Simplify (+ 0 1) into 1
6.415 * [backup-simplify]: Simplify (sqrt 1) into 1
6.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.416 * [backup-simplify]: Simplify (+ 0 0) into 0
6.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.416 * [taylor]: Taking taylor expansion of 1 in p
6.416 * [backup-simplify]: Simplify 1 into 1
6.417 * [taylor]: Taking taylor expansion of 0 in p
6.417 * [backup-simplify]: Simplify 0 into 0
6.417 * [backup-simplify]: Simplify 1 into 1
6.417 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
6.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.418 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
6.419 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
6.419 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
6.419 * [taylor]: Taking taylor expansion of 2 in p
6.419 * [backup-simplify]: Simplify 2 into 2
6.419 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.419 * [taylor]: Taking taylor expansion of p in p
6.419 * [backup-simplify]: Simplify 0 into 0
6.419 * [backup-simplify]: Simplify 1 into 1
6.419 * [backup-simplify]: Simplify (* 1 1) into 1
6.419 * [backup-simplify]: Simplify (/ 2 1) into 2
6.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
6.420 * [backup-simplify]: Simplify 0 into 0
6.420 * [backup-simplify]: Simplify 0 into 0
6.420 * [backup-simplify]: Simplify 0 into 0
6.421 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
6.421 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
6.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.422 * [backup-simplify]: Simplify (+ 0 0) into 0
6.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
6.423 * [taylor]: Taking taylor expansion of 0 in p
6.423 * [backup-simplify]: Simplify 0 into 0
6.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.424 * [backup-simplify]: Simplify 0 into 0
6.424 * [backup-simplify]: Simplify 0 into 0
6.424 * [backup-simplify]: Simplify 0 into 0
6.424 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
6.424 * * * [progress]: simplifying candidates
6.424 * * * * [progress]: [ 1 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (pow (+ (* x x) (* (* p 4) p)) 1/2)))))))))>
6.424 * * * * [progress]: [ 2 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (pow (sqrt (+ (* x x) (* (* p 4) p))) 1)))))))))>
6.424 * * * * [progress]: [ 3 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (exp (log (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
6.425 * * * * [progress]: [ 4 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (log (exp (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
6.425 * * * * [progress]: [ 5 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
6.425 * * * * [progress]: [ 6 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (cbrt (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
6.425 * * * * [progress]: [ 7 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (* (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))))))))))))>
6.425 * * * * [progress]: [ 8 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
6.425 * * * * [progress]: [ 9 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (* (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
6.425 * * * * [progress]: [ 10 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))))))))))))>
6.425 * * * * [progress]: [ 11 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))))))))))))>
6.425 * * * * [progress]: [ 12 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (pow (+ (* x x) (* (* p 4) p)) (/ 1 2))))))))))>
6.425 * * * * [progress]: [ 13 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
6.425 * * * * [progress]: [ 14 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (fabs (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
6.425 * * * * [progress]: [ 15 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (* 1 (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
6.425 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
6.425 * * * * [progress]: [ 17 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (pow (+ (* x x) (* (* p 4) p)) 1/2))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.425 * * * * [progress]: [ 18 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (pow (sqrt (+ (* x x) (* (* p 4) p))) 1))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.425 * * * * [progress]: [ 19 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (exp (log (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.425 * * * * [progress]: [ 20 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (log (exp (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.426 * * * * [progress]: [ 21 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.426 * * * * [progress]: [ 22 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (cbrt (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.426 * * * * [progress]: [ 23 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.426 * * * * [progress]: [ 24 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.426 * * * * [progress]: [ 25 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p)))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.426 * * * * [progress]: [ 26 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p)))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.426 * * * * [progress]: [ 27 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p)))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.426 * * * * [progress]: [ 28 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (pow (+ (* x x) (* (* p 4) p)) (/ 1 2)))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.426 * * * * [progress]: [ 29 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.426 * * * * [progress]: [ 30 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (fabs (sqrt (+ (* x x) (* (* p 4) p)))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.426 * * * * [progress]: [ 31 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* 1 (sqrt (+ (* x x) (* (* p 4) p)))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.426 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.426 * * * * [progress]: [ 33 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (pow (+ (* x x) (* (* p 4) p)) 1/2))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.426 * * * * [progress]: [ 34 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (pow (sqrt (+ (* x x) (* (* p 4) p))) 1))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.426 * * * * [progress]: [ 35 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (exp (log (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.426 * * * * [progress]: [ 36 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (log (exp (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.426 * * * * [progress]: [ 37 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.427 * * * * [progress]: [ 38 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (cbrt (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.427 * * * * [progress]: [ 39 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.427 * * * * [progress]: [ 40 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.427 * * * * [progress]: [ 41 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.427 * * * * [progress]: [ 42 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p)))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.427 * * * * [progress]: [ 43 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.427 * * * * [progress]: [ 44 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (pow (+ (* x x) (* (* p 4) p)) (/ 1 2)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.427 * * * * [progress]: [ 45 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.427 * * * * [progress]: [ 46 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (fabs (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.427 * * * * [progress]: [ 47 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* 1 (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.427 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.427 * * * * [progress]: [ 49 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (pow (+ (* x x) (* (* p 4) p)) 1/2)) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.427 * * * * [progress]: [ 50 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (pow (sqrt (+ (* x x) (* (* p 4) p))) 1)) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.427 * * * * [progress]: [ 51 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (exp (log (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.427 * * * * [progress]: [ 52 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (log (exp (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.427 * * * * [progress]: [ 53 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.427 * * * * [progress]: [ 54 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (cbrt (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.428 * * * * [progress]: [ 55 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (* (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.428 * * * * [progress]: [ 56 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.428 * * * * [progress]: [ 57 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (* (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.428 * * * * [progress]: [ 58 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.428 * * * * [progress]: [ 59 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.428 * * * * [progress]: [ 60 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (pow (+ (* x x) (* (* p 4) p)) (/ 1 2))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.428 * * * * [progress]: [ 61 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.428 * * * * [progress]: [ 62 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (fabs (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.428 * * * * [progress]: [ 63 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (* 1 (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.428 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.428 * * * * [progress]: [ 65 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (* 2 p)))))))))>
6.428 * * * * [progress]: [ 66 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 x))))))))>
6.428 * * * * [progress]: [ 67 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (* -1 x)))))))))>
6.428 * * * * [progress]: [ 68 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* 2 p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.428 * * * * [progress]: [ 69 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt x)))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.428 * * * * [progress]: [ 70 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* -1 x))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.428 * * * * [progress]: [ 71 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* 2 p))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.428 * * * * [progress]: [ 72 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt x)) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.429 * * * * [progress]: [ 73 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* -1 x))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.429 * * * * [progress]: [ 74 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (* 2 p)) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.429 * * * * [progress]: [ 75 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt x) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.429 * * * * [progress]: [ 76 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (* -1 x)) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
6.429 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p)))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p)))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p)))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p)))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (* 2 p)
  x
  (* -1 x)
  (* 2 p)
  x
  (* -1 x)
  (* 2 p)
  x
  (* -1 x)
  (* 2 p)
  x
  (* -1 x)
6.430 * * [simplify]: iteration 1: (42 enodes)
6.451 * * [simplify]: iteration 2: (97 enodes)
6.485 * * [simplify]: iteration 3: (253 enodes)
6.576 * * [simplify]: iteration 4: (650 enodes)
6.934 * * [simplify]: iteration 5: (1481 enodes)
7.835 * * [simplify]: Extracting #0: cost 19 inf + 0
7.836 * * [simplify]: Extracting #1: cost 30 inf + 3
7.836 * * [simplify]: Extracting #2: cost 64 inf + 90
7.837 * * [simplify]: Extracting #3: cost 271 inf + 1177
7.843 * * [simplify]: Extracting #4: cost 315 inf + 24127
7.861 * * [simplify]: Extracting #5: cost 114 inf + 86351
7.884 * * [simplify]: Extracting #6: cost 5 inf + 143479
7.912 * * [simplify]: Extracting #7: cost 0 inf + 146127
7.938 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p))))
  (fabs (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  1
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (* (* 64 (* (* p p) (* p p))) (* p p)) (* (* (* x x) (* x x)) (* x x))))
  (sqrt (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (- (* (* p 4) p) (* x x)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p))))
  (fabs (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  1
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (* (* 64 (* (* p p) (* p p))) (* p p)) (* (* (* x x) (* x x)) (* x x))))
  (sqrt (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (- (* (* p 4) p) (* x x)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p))))
  (fabs (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  1
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (* (* 64 (* (* p p) (* p p))) (* p p)) (* (* (* x x) (* x x)) (* x x))))
  (sqrt (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (- (* (* p 4) p) (* x x)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p))))
  (fabs (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  1
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (* (* 64 (* (* p p) (* p p))) (* p p)) (* (* (* x x) (* x x)) (* x x))))
  (sqrt (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (- (* (* p 4) p) (* x x)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (* p 2)
  x
  (- x)
  (* p 2)
  x
  (- x)
  (* p 2)
  x
  (- x)
  (* p 2)
  x
  (- x)
7.960 * * * [progress]: adding candidates to table
9.148 * * [progress]: iteration 4 / 4
9.148 * * * [progress]: picking best candidate
9.216 * * * * [pick]: Picked  #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.216 * * * [progress]: localizing error
9.305 * * * [progress]: generating rewritten candidates
9.305 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2 2 2 2)
9.311 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 2 2 2 1 2 1)
9.317 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1 2 2 2 1 1 2 1)
9.323 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1 2 2 2 1 1 1 1)
9.330 * * * [progress]: generating series expansions
9.330 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2 2 2 2)
9.330 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
9.330 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
9.330 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
9.330 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
9.330 * [taylor]: Taking taylor expansion of (pow x 2) in p
9.330 * [taylor]: Taking taylor expansion of x in p
9.330 * [backup-simplify]: Simplify x into x
9.330 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
9.330 * [taylor]: Taking taylor expansion of 4 in p
9.330 * [backup-simplify]: Simplify 4 into 4
9.330 * [taylor]: Taking taylor expansion of (pow p 2) in p
9.330 * [taylor]: Taking taylor expansion of p in p
9.330 * [backup-simplify]: Simplify 0 into 0
9.330 * [backup-simplify]: Simplify 1 into 1
9.330 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.330 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
9.330 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
9.330 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
9.331 * [backup-simplify]: Simplify (+ 0 0) into 0
9.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
9.331 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
9.331 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
9.331 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.331 * [taylor]: Taking taylor expansion of x in x
9.331 * [backup-simplify]: Simplify 0 into 0
9.331 * [backup-simplify]: Simplify 1 into 1
9.331 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
9.331 * [taylor]: Taking taylor expansion of 4 in x
9.331 * [backup-simplify]: Simplify 4 into 4
9.331 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.331 * [taylor]: Taking taylor expansion of p in x
9.331 * [backup-simplify]: Simplify p into p
9.331 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.331 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
9.331 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
9.331 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
9.331 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
9.332 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
9.332 * [backup-simplify]: Simplify (+ 0 0) into 0
9.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
9.332 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
9.332 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
9.332 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.332 * [taylor]: Taking taylor expansion of x in x
9.332 * [backup-simplify]: Simplify 0 into 0
9.332 * [backup-simplify]: Simplify 1 into 1
9.332 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
9.332 * [taylor]: Taking taylor expansion of 4 in x
9.332 * [backup-simplify]: Simplify 4 into 4
9.332 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.332 * [taylor]: Taking taylor expansion of p in x
9.332 * [backup-simplify]: Simplify p into p
9.332 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.332 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
9.332 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
9.332 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
9.332 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
9.333 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
9.333 * [backup-simplify]: Simplify (+ 0 0) into 0
9.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
9.333 * [taylor]: Taking taylor expansion of (* 2 p) in p
9.333 * [taylor]: Taking taylor expansion of 2 in p
9.333 * [backup-simplify]: Simplify 2 into 2
9.333 * [taylor]: Taking taylor expansion of p in p
9.333 * [backup-simplify]: Simplify 0 into 0
9.333 * [backup-simplify]: Simplify 1 into 1
9.334 * [backup-simplify]: Simplify (* 2 0) into 0
9.334 * [backup-simplify]: Simplify 0 into 0
9.334 * [taylor]: Taking taylor expansion of 0 in p
9.334 * [backup-simplify]: Simplify 0 into 0
9.334 * [backup-simplify]: Simplify 0 into 0
9.334 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
9.334 * [backup-simplify]: Simplify 2 into 2
9.334 * [backup-simplify]: Simplify (* 1 1) into 1
9.335 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
9.335 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
9.335 * [backup-simplify]: Simplify (+ 1 0) into 1
9.336 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
9.336 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
9.336 * [taylor]: Taking taylor expansion of 1/4 in p
9.336 * [backup-simplify]: Simplify 1/4 into 1/4
9.336 * [taylor]: Taking taylor expansion of p in p
9.336 * [backup-simplify]: Simplify 0 into 0
9.336 * [backup-simplify]: Simplify 1 into 1
9.336 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
9.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
9.337 * [backup-simplify]: Simplify 0 into 0
9.337 * [backup-simplify]: Simplify 0 into 0
9.337 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
9.337 * [backup-simplify]: Simplify 0 into 0
9.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.338 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
9.339 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
9.339 * [backup-simplify]: Simplify (+ 0 0) into 0
9.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
9.340 * [taylor]: Taking taylor expansion of 0 in p
9.340 * [backup-simplify]: Simplify 0 into 0
9.340 * [backup-simplify]: Simplify 0 into 0
9.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.340 * [backup-simplify]: Simplify 0 into 0
9.340 * [backup-simplify]: Simplify 0 into 0
9.340 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
9.340 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
9.340 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
9.340 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
9.341 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
9.341 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
9.341 * [taylor]: Taking taylor expansion of 4 in p
9.341 * [backup-simplify]: Simplify 4 into 4
9.341 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
9.341 * [taylor]: Taking taylor expansion of (pow p 2) in p
9.341 * [taylor]: Taking taylor expansion of p in p
9.341 * [backup-simplify]: Simplify 0 into 0
9.341 * [backup-simplify]: Simplify 1 into 1
9.341 * [backup-simplify]: Simplify (* 1 1) into 1
9.341 * [backup-simplify]: Simplify (/ 1 1) into 1
9.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
9.341 * [taylor]: Taking taylor expansion of (pow x 2) in p
9.341 * [taylor]: Taking taylor expansion of x in p
9.341 * [backup-simplify]: Simplify x into x
9.341 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.341 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.342 * [backup-simplify]: Simplify (* 4 1) into 4
9.342 * [backup-simplify]: Simplify (+ 4 0) into 4
9.342 * [backup-simplify]: Simplify (sqrt 4) into 2
9.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.344 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
9.344 * [backup-simplify]: Simplify (+ 0 0) into 0
9.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
9.344 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
9.344 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
9.344 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
9.344 * [taylor]: Taking taylor expansion of 4 in x
9.344 * [backup-simplify]: Simplify 4 into 4
9.344 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
9.344 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.344 * [taylor]: Taking taylor expansion of p in x
9.344 * [backup-simplify]: Simplify p into p
9.344 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.345 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
9.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.345 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.348 * [taylor]: Taking taylor expansion of x in x
9.348 * [backup-simplify]: Simplify 0 into 0
9.348 * [backup-simplify]: Simplify 1 into 1
9.348 * [backup-simplify]: Simplify (* 1 1) into 1
9.349 * [backup-simplify]: Simplify (/ 1 1) into 1
9.349 * [backup-simplify]: Simplify (+ 0 1) into 1
9.349 * [backup-simplify]: Simplify (sqrt 1) into 1
9.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.350 * [backup-simplify]: Simplify (+ 0 0) into 0
9.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.351 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
9.351 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
9.351 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
9.351 * [taylor]: Taking taylor expansion of 4 in x
9.351 * [backup-simplify]: Simplify 4 into 4
9.351 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
9.351 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.351 * [taylor]: Taking taylor expansion of p in x
9.351 * [backup-simplify]: Simplify p into p
9.351 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.351 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
9.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.351 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.351 * [taylor]: Taking taylor expansion of x in x
9.351 * [backup-simplify]: Simplify 0 into 0
9.351 * [backup-simplify]: Simplify 1 into 1
9.352 * [backup-simplify]: Simplify (* 1 1) into 1
9.352 * [backup-simplify]: Simplify (/ 1 1) into 1
9.352 * [backup-simplify]: Simplify (+ 0 1) into 1
9.352 * [backup-simplify]: Simplify (sqrt 1) into 1
9.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.353 * [backup-simplify]: Simplify (+ 0 0) into 0
9.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.354 * [taylor]: Taking taylor expansion of 1 in p
9.354 * [backup-simplify]: Simplify 1 into 1
9.354 * [taylor]: Taking taylor expansion of 0 in p
9.354 * [backup-simplify]: Simplify 0 into 0
9.354 * [backup-simplify]: Simplify 1 into 1
9.354 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
9.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.355 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
9.356 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
9.356 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
9.356 * [taylor]: Taking taylor expansion of 2 in p
9.356 * [backup-simplify]: Simplify 2 into 2
9.356 * [taylor]: Taking taylor expansion of (pow p 2) in p
9.356 * [taylor]: Taking taylor expansion of p in p
9.356 * [backup-simplify]: Simplify 0 into 0
9.356 * [backup-simplify]: Simplify 1 into 1
9.357 * [backup-simplify]: Simplify (* 1 1) into 1
9.357 * [backup-simplify]: Simplify (/ 2 1) into 2
9.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
9.358 * [backup-simplify]: Simplify 0 into 0
9.358 * [backup-simplify]: Simplify 0 into 0
9.358 * [backup-simplify]: Simplify 0 into 0
9.358 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
9.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
9.358 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
9.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.360 * [backup-simplify]: Simplify (+ 0 0) into 0
9.360 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
9.360 * [taylor]: Taking taylor expansion of 0 in p
9.360 * [backup-simplify]: Simplify 0 into 0
9.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.361 * [backup-simplify]: Simplify 0 into 0
9.361 * [backup-simplify]: Simplify 0 into 0
9.361 * [backup-simplify]: Simplify 0 into 0
9.362 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
9.362 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
9.362 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
9.362 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
9.362 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
9.362 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
9.362 * [taylor]: Taking taylor expansion of 4 in p
9.362 * [backup-simplify]: Simplify 4 into 4
9.362 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
9.362 * [taylor]: Taking taylor expansion of (pow p 2) in p
9.362 * [taylor]: Taking taylor expansion of p in p
9.362 * [backup-simplify]: Simplify 0 into 0
9.362 * [backup-simplify]: Simplify 1 into 1
9.362 * [backup-simplify]: Simplify (* 1 1) into 1
9.362 * [backup-simplify]: Simplify (/ 1 1) into 1
9.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
9.362 * [taylor]: Taking taylor expansion of (pow x 2) in p
9.362 * [taylor]: Taking taylor expansion of x in p
9.362 * [backup-simplify]: Simplify x into x
9.363 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.363 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.363 * [backup-simplify]: Simplify (* 4 1) into 4
9.363 * [backup-simplify]: Simplify (+ 4 0) into 4
9.363 * [backup-simplify]: Simplify (sqrt 4) into 2
9.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.365 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
9.365 * [backup-simplify]: Simplify (+ 0 0) into 0
9.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
9.365 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
9.365 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
9.365 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
9.365 * [taylor]: Taking taylor expansion of 4 in x
9.366 * [backup-simplify]: Simplify 4 into 4
9.366 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
9.366 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.366 * [taylor]: Taking taylor expansion of p in x
9.366 * [backup-simplify]: Simplify p into p
9.366 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.366 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
9.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.366 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.366 * [taylor]: Taking taylor expansion of x in x
9.366 * [backup-simplify]: Simplify 0 into 0
9.366 * [backup-simplify]: Simplify 1 into 1
9.366 * [backup-simplify]: Simplify (* 1 1) into 1
9.366 * [backup-simplify]: Simplify (/ 1 1) into 1
9.367 * [backup-simplify]: Simplify (+ 0 1) into 1
9.367 * [backup-simplify]: Simplify (sqrt 1) into 1
9.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.368 * [backup-simplify]: Simplify (+ 0 0) into 0
9.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.369 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
9.369 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
9.369 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
9.369 * [taylor]: Taking taylor expansion of 4 in x
9.369 * [backup-simplify]: Simplify 4 into 4
9.369 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
9.369 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.369 * [taylor]: Taking taylor expansion of p in x
9.369 * [backup-simplify]: Simplify p into p
9.369 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.369 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
9.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.369 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.369 * [taylor]: Taking taylor expansion of x in x
9.369 * [backup-simplify]: Simplify 0 into 0
9.369 * [backup-simplify]: Simplify 1 into 1
9.369 * [backup-simplify]: Simplify (* 1 1) into 1
9.369 * [backup-simplify]: Simplify (/ 1 1) into 1
9.370 * [backup-simplify]: Simplify (+ 0 1) into 1
9.370 * [backup-simplify]: Simplify (sqrt 1) into 1
9.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.371 * [backup-simplify]: Simplify (+ 0 0) into 0
9.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.372 * [taylor]: Taking taylor expansion of 1 in p
9.372 * [backup-simplify]: Simplify 1 into 1
9.372 * [taylor]: Taking taylor expansion of 0 in p
9.372 * [backup-simplify]: Simplify 0 into 0
9.372 * [backup-simplify]: Simplify 1 into 1
9.372 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
9.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.373 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
9.374 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
9.374 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
9.374 * [taylor]: Taking taylor expansion of 2 in p
9.374 * [backup-simplify]: Simplify 2 into 2
9.374 * [taylor]: Taking taylor expansion of (pow p 2) in p
9.374 * [taylor]: Taking taylor expansion of p in p
9.374 * [backup-simplify]: Simplify 0 into 0
9.374 * [backup-simplify]: Simplify 1 into 1
9.374 * [backup-simplify]: Simplify (* 1 1) into 1
9.375 * [backup-simplify]: Simplify (/ 2 1) into 2
9.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
9.376 * [backup-simplify]: Simplify 0 into 0
9.376 * [backup-simplify]: Simplify 0 into 0
9.376 * [backup-simplify]: Simplify 0 into 0
9.376 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
9.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
9.376 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
9.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.378 * [backup-simplify]: Simplify (+ 0 0) into 0
9.378 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
9.378 * [taylor]: Taking taylor expansion of 0 in p
9.378 * [backup-simplify]: Simplify 0 into 0
9.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.379 * [backup-simplify]: Simplify 0 into 0
9.379 * [backup-simplify]: Simplify 0 into 0
9.379 * [backup-simplify]: Simplify 0 into 0
9.379 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
9.379 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 2 2 2 1 2 1)
9.380 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
9.380 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
9.380 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
9.380 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
9.380 * [taylor]: Taking taylor expansion of (pow x 2) in p
9.380 * [taylor]: Taking taylor expansion of x in p
9.380 * [backup-simplify]: Simplify x into x
9.380 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
9.380 * [taylor]: Taking taylor expansion of 4 in p
9.380 * [backup-simplify]: Simplify 4 into 4
9.380 * [taylor]: Taking taylor expansion of (pow p 2) in p
9.380 * [taylor]: Taking taylor expansion of p in p
9.380 * [backup-simplify]: Simplify 0 into 0
9.380 * [backup-simplify]: Simplify 1 into 1
9.380 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.380 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
9.380 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
9.380 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
9.380 * [backup-simplify]: Simplify (+ 0 0) into 0
9.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
9.380 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
9.380 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
9.380 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.380 * [taylor]: Taking taylor expansion of x in x
9.381 * [backup-simplify]: Simplify 0 into 0
9.381 * [backup-simplify]: Simplify 1 into 1
9.381 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
9.381 * [taylor]: Taking taylor expansion of 4 in x
9.381 * [backup-simplify]: Simplify 4 into 4
9.381 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.381 * [taylor]: Taking taylor expansion of p in x
9.381 * [backup-simplify]: Simplify p into p
9.381 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.381 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
9.381 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
9.381 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
9.381 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
9.381 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
9.381 * [backup-simplify]: Simplify (+ 0 0) into 0
9.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
9.382 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
9.382 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
9.382 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.382 * [taylor]: Taking taylor expansion of x in x
9.382 * [backup-simplify]: Simplify 0 into 0
9.382 * [backup-simplify]: Simplify 1 into 1
9.382 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
9.382 * [taylor]: Taking taylor expansion of 4 in x
9.382 * [backup-simplify]: Simplify 4 into 4
9.382 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.382 * [taylor]: Taking taylor expansion of p in x
9.382 * [backup-simplify]: Simplify p into p
9.382 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.382 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
9.382 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
9.382 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
9.382 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
9.382 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
9.383 * [backup-simplify]: Simplify (+ 0 0) into 0
9.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
9.383 * [taylor]: Taking taylor expansion of (* 2 p) in p
9.383 * [taylor]: Taking taylor expansion of 2 in p
9.383 * [backup-simplify]: Simplify 2 into 2
9.383 * [taylor]: Taking taylor expansion of p in p
9.383 * [backup-simplify]: Simplify 0 into 0
9.383 * [backup-simplify]: Simplify 1 into 1
9.383 * [backup-simplify]: Simplify (* 2 0) into 0
9.383 * [backup-simplify]: Simplify 0 into 0
9.383 * [taylor]: Taking taylor expansion of 0 in p
9.383 * [backup-simplify]: Simplify 0 into 0
9.383 * [backup-simplify]: Simplify 0 into 0
9.384 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
9.384 * [backup-simplify]: Simplify 2 into 2
9.384 * [backup-simplify]: Simplify (* 1 1) into 1
9.384 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
9.385 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
9.385 * [backup-simplify]: Simplify (+ 1 0) into 1
9.386 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
9.386 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
9.386 * [taylor]: Taking taylor expansion of 1/4 in p
9.386 * [backup-simplify]: Simplify 1/4 into 1/4
9.386 * [taylor]: Taking taylor expansion of p in p
9.386 * [backup-simplify]: Simplify 0 into 0
9.386 * [backup-simplify]: Simplify 1 into 1
9.386 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
9.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
9.387 * [backup-simplify]: Simplify 0 into 0
9.387 * [backup-simplify]: Simplify 0 into 0
9.387 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
9.387 * [backup-simplify]: Simplify 0 into 0
9.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.388 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
9.389 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
9.389 * [backup-simplify]: Simplify (+ 0 0) into 0
9.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
9.389 * [taylor]: Taking taylor expansion of 0 in p
9.389 * [backup-simplify]: Simplify 0 into 0
9.389 * [backup-simplify]: Simplify 0 into 0
9.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.390 * [backup-simplify]: Simplify 0 into 0
9.390 * [backup-simplify]: Simplify 0 into 0
9.390 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
9.390 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
9.390 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
9.390 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
9.390 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
9.390 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
9.390 * [taylor]: Taking taylor expansion of 4 in p
9.390 * [backup-simplify]: Simplify 4 into 4
9.390 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
9.390 * [taylor]: Taking taylor expansion of (pow p 2) in p
9.390 * [taylor]: Taking taylor expansion of p in p
9.391 * [backup-simplify]: Simplify 0 into 0
9.391 * [backup-simplify]: Simplify 1 into 1
9.391 * [backup-simplify]: Simplify (* 1 1) into 1
9.391 * [backup-simplify]: Simplify (/ 1 1) into 1
9.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
9.391 * [taylor]: Taking taylor expansion of (pow x 2) in p
9.391 * [taylor]: Taking taylor expansion of x in p
9.391 * [backup-simplify]: Simplify x into x
9.391 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.391 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.391 * [backup-simplify]: Simplify (* 4 1) into 4
9.392 * [backup-simplify]: Simplify (+ 4 0) into 4
9.392 * [backup-simplify]: Simplify (sqrt 4) into 2
9.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.393 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
9.394 * [backup-simplify]: Simplify (+ 0 0) into 0
9.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
9.394 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
9.394 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
9.394 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
9.394 * [taylor]: Taking taylor expansion of 4 in x
9.394 * [backup-simplify]: Simplify 4 into 4
9.394 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
9.394 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.394 * [taylor]: Taking taylor expansion of p in x
9.394 * [backup-simplify]: Simplify p into p
9.394 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.395 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
9.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.395 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.395 * [taylor]: Taking taylor expansion of x in x
9.395 * [backup-simplify]: Simplify 0 into 0
9.395 * [backup-simplify]: Simplify 1 into 1
9.395 * [backup-simplify]: Simplify (* 1 1) into 1
9.395 * [backup-simplify]: Simplify (/ 1 1) into 1
9.395 * [backup-simplify]: Simplify (+ 0 1) into 1
9.396 * [backup-simplify]: Simplify (sqrt 1) into 1
9.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.397 * [backup-simplify]: Simplify (+ 0 0) into 0
9.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.397 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
9.397 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
9.397 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
9.397 * [taylor]: Taking taylor expansion of 4 in x
9.397 * [backup-simplify]: Simplify 4 into 4
9.397 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
9.397 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.397 * [taylor]: Taking taylor expansion of p in x
9.397 * [backup-simplify]: Simplify p into p
9.397 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.397 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
9.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.397 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.398 * [taylor]: Taking taylor expansion of x in x
9.398 * [backup-simplify]: Simplify 0 into 0
9.398 * [backup-simplify]: Simplify 1 into 1
9.398 * [backup-simplify]: Simplify (* 1 1) into 1
9.398 * [backup-simplify]: Simplify (/ 1 1) into 1
9.398 * [backup-simplify]: Simplify (+ 0 1) into 1
9.399 * [backup-simplify]: Simplify (sqrt 1) into 1
9.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.400 * [backup-simplify]: Simplify (+ 0 0) into 0
9.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.400 * [taylor]: Taking taylor expansion of 1 in p
9.400 * [backup-simplify]: Simplify 1 into 1
9.400 * [taylor]: Taking taylor expansion of 0 in p
9.400 * [backup-simplify]: Simplify 0 into 0
9.400 * [backup-simplify]: Simplify 1 into 1
9.400 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
9.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.402 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
9.402 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
9.402 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
9.402 * [taylor]: Taking taylor expansion of 2 in p
9.402 * [backup-simplify]: Simplify 2 into 2
9.402 * [taylor]: Taking taylor expansion of (pow p 2) in p
9.402 * [taylor]: Taking taylor expansion of p in p
9.403 * [backup-simplify]: Simplify 0 into 0
9.403 * [backup-simplify]: Simplify 1 into 1
9.403 * [backup-simplify]: Simplify (* 1 1) into 1
9.403 * [backup-simplify]: Simplify (/ 2 1) into 2
9.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
9.404 * [backup-simplify]: Simplify 0 into 0
9.404 * [backup-simplify]: Simplify 0 into 0
9.404 * [backup-simplify]: Simplify 0 into 0
9.404 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
9.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
9.405 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
9.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.406 * [backup-simplify]: Simplify (+ 0 0) into 0
9.406 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
9.406 * [taylor]: Taking taylor expansion of 0 in p
9.406 * [backup-simplify]: Simplify 0 into 0
9.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.408 * [backup-simplify]: Simplify 0 into 0
9.408 * [backup-simplify]: Simplify 0 into 0
9.408 * [backup-simplify]: Simplify 0 into 0
9.408 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
9.408 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
9.408 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
9.408 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
9.408 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
9.408 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
9.408 * [taylor]: Taking taylor expansion of 4 in p
9.408 * [backup-simplify]: Simplify 4 into 4
9.408 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
9.408 * [taylor]: Taking taylor expansion of (pow p 2) in p
9.408 * [taylor]: Taking taylor expansion of p in p
9.408 * [backup-simplify]: Simplify 0 into 0
9.408 * [backup-simplify]: Simplify 1 into 1
9.408 * [backup-simplify]: Simplify (* 1 1) into 1
9.409 * [backup-simplify]: Simplify (/ 1 1) into 1
9.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
9.409 * [taylor]: Taking taylor expansion of (pow x 2) in p
9.409 * [taylor]: Taking taylor expansion of x in p
9.409 * [backup-simplify]: Simplify x into x
9.409 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.409 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.409 * [backup-simplify]: Simplify (* 4 1) into 4
9.409 * [backup-simplify]: Simplify (+ 4 0) into 4
9.410 * [backup-simplify]: Simplify (sqrt 4) into 2
9.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.411 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
9.411 * [backup-simplify]: Simplify (+ 0 0) into 0
9.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
9.412 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
9.412 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
9.412 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
9.412 * [taylor]: Taking taylor expansion of 4 in x
9.412 * [backup-simplify]: Simplify 4 into 4
9.412 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
9.412 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.412 * [taylor]: Taking taylor expansion of p in x
9.412 * [backup-simplify]: Simplify p into p
9.412 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.412 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
9.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.412 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.412 * [taylor]: Taking taylor expansion of x in x
9.412 * [backup-simplify]: Simplify 0 into 0
9.412 * [backup-simplify]: Simplify 1 into 1
9.412 * [backup-simplify]: Simplify (* 1 1) into 1
9.412 * [backup-simplify]: Simplify (/ 1 1) into 1
9.413 * [backup-simplify]: Simplify (+ 0 1) into 1
9.413 * [backup-simplify]: Simplify (sqrt 1) into 1
9.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.414 * [backup-simplify]: Simplify (+ 0 0) into 0
9.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.415 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
9.415 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
9.415 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
9.415 * [taylor]: Taking taylor expansion of 4 in x
9.415 * [backup-simplify]: Simplify 4 into 4
9.415 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
9.415 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.415 * [taylor]: Taking taylor expansion of p in x
9.415 * [backup-simplify]: Simplify p into p
9.415 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.415 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
9.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.415 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.415 * [taylor]: Taking taylor expansion of x in x
9.415 * [backup-simplify]: Simplify 0 into 0
9.415 * [backup-simplify]: Simplify 1 into 1
9.415 * [backup-simplify]: Simplify (* 1 1) into 1
9.415 * [backup-simplify]: Simplify (/ 1 1) into 1
9.416 * [backup-simplify]: Simplify (+ 0 1) into 1
9.416 * [backup-simplify]: Simplify (sqrt 1) into 1
9.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.417 * [backup-simplify]: Simplify (+ 0 0) into 0
9.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.418 * [taylor]: Taking taylor expansion of 1 in p
9.418 * [backup-simplify]: Simplify 1 into 1
9.418 * [taylor]: Taking taylor expansion of 0 in p
9.418 * [backup-simplify]: Simplify 0 into 0
9.418 * [backup-simplify]: Simplify 1 into 1
9.418 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
9.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.419 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
9.420 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
9.420 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
9.420 * [taylor]: Taking taylor expansion of 2 in p
9.420 * [backup-simplify]: Simplify 2 into 2
9.420 * [taylor]: Taking taylor expansion of (pow p 2) in p
9.420 * [taylor]: Taking taylor expansion of p in p
9.420 * [backup-simplify]: Simplify 0 into 0
9.420 * [backup-simplify]: Simplify 1 into 1
9.420 * [backup-simplify]: Simplify (* 1 1) into 1
9.420 * [backup-simplify]: Simplify (/ 2 1) into 2
9.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
9.421 * [backup-simplify]: Simplify 0 into 0
9.421 * [backup-simplify]: Simplify 0 into 0
9.421 * [backup-simplify]: Simplify 0 into 0
9.421 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
9.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
9.422 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
9.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.423 * [backup-simplify]: Simplify (+ 0 0) into 0
9.424 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
9.424 * [taylor]: Taking taylor expansion of 0 in p
9.424 * [backup-simplify]: Simplify 0 into 0
9.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.425 * [backup-simplify]: Simplify 0 into 0
9.425 * [backup-simplify]: Simplify 0 into 0
9.425 * [backup-simplify]: Simplify 0 into 0
9.425 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
9.425 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1 2 2 2 1 1 2 1)
9.425 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
9.425 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
9.425 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
9.425 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
9.425 * [taylor]: Taking taylor expansion of (pow x 2) in p
9.425 * [taylor]: Taking taylor expansion of x in p
9.425 * [backup-simplify]: Simplify x into x
9.425 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
9.425 * [taylor]: Taking taylor expansion of 4 in p
9.425 * [backup-simplify]: Simplify 4 into 4
9.426 * [taylor]: Taking taylor expansion of (pow p 2) in p
9.426 * [taylor]: Taking taylor expansion of p in p
9.426 * [backup-simplify]: Simplify 0 into 0
9.426 * [backup-simplify]: Simplify 1 into 1
9.426 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.426 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
9.426 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
9.426 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
9.426 * [backup-simplify]: Simplify (+ 0 0) into 0
9.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
9.426 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
9.426 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
9.426 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.426 * [taylor]: Taking taylor expansion of x in x
9.426 * [backup-simplify]: Simplify 0 into 0
9.426 * [backup-simplify]: Simplify 1 into 1
9.426 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
9.426 * [taylor]: Taking taylor expansion of 4 in x
9.426 * [backup-simplify]: Simplify 4 into 4
9.426 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.426 * [taylor]: Taking taylor expansion of p in x
9.426 * [backup-simplify]: Simplify p into p
9.426 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.426 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
9.426 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
9.427 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
9.427 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
9.427 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
9.427 * [backup-simplify]: Simplify (+ 0 0) into 0
9.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
9.427 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
9.427 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
9.427 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.427 * [taylor]: Taking taylor expansion of x in x
9.427 * [backup-simplify]: Simplify 0 into 0
9.427 * [backup-simplify]: Simplify 1 into 1
9.427 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
9.427 * [taylor]: Taking taylor expansion of 4 in x
9.427 * [backup-simplify]: Simplify 4 into 4
9.427 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.427 * [taylor]: Taking taylor expansion of p in x
9.427 * [backup-simplify]: Simplify p into p
9.428 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.428 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
9.428 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
9.428 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
9.428 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
9.428 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
9.428 * [backup-simplify]: Simplify (+ 0 0) into 0
9.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
9.428 * [taylor]: Taking taylor expansion of (* 2 p) in p
9.429 * [taylor]: Taking taylor expansion of 2 in p
9.429 * [backup-simplify]: Simplify 2 into 2
9.429 * [taylor]: Taking taylor expansion of p in p
9.429 * [backup-simplify]: Simplify 0 into 0
9.429 * [backup-simplify]: Simplify 1 into 1
9.429 * [backup-simplify]: Simplify (* 2 0) into 0
9.429 * [backup-simplify]: Simplify 0 into 0
9.429 * [taylor]: Taking taylor expansion of 0 in p
9.429 * [backup-simplify]: Simplify 0 into 0
9.429 * [backup-simplify]: Simplify 0 into 0
9.429 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
9.429 * [backup-simplify]: Simplify 2 into 2
9.430 * [backup-simplify]: Simplify (* 1 1) into 1
9.430 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
9.431 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
9.431 * [backup-simplify]: Simplify (+ 1 0) into 1
9.431 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
9.431 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
9.431 * [taylor]: Taking taylor expansion of 1/4 in p
9.431 * [backup-simplify]: Simplify 1/4 into 1/4
9.431 * [taylor]: Taking taylor expansion of p in p
9.431 * [backup-simplify]: Simplify 0 into 0
9.432 * [backup-simplify]: Simplify 1 into 1
9.432 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
9.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
9.432 * [backup-simplify]: Simplify 0 into 0
9.432 * [backup-simplify]: Simplify 0 into 0
9.433 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
9.433 * [backup-simplify]: Simplify 0 into 0
9.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.434 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
9.435 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
9.435 * [backup-simplify]: Simplify (+ 0 0) into 0
9.435 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
9.435 * [taylor]: Taking taylor expansion of 0 in p
9.435 * [backup-simplify]: Simplify 0 into 0
9.435 * [backup-simplify]: Simplify 0 into 0
9.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.436 * [backup-simplify]: Simplify 0 into 0
9.436 * [backup-simplify]: Simplify 0 into 0
9.436 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
9.436 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
9.436 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
9.436 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
9.436 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
9.436 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
9.436 * [taylor]: Taking taylor expansion of 4 in p
9.436 * [backup-simplify]: Simplify 4 into 4
9.436 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
9.436 * [taylor]: Taking taylor expansion of (pow p 2) in p
9.436 * [taylor]: Taking taylor expansion of p in p
9.436 * [backup-simplify]: Simplify 0 into 0
9.436 * [backup-simplify]: Simplify 1 into 1
9.437 * [backup-simplify]: Simplify (* 1 1) into 1
9.437 * [backup-simplify]: Simplify (/ 1 1) into 1
9.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
9.437 * [taylor]: Taking taylor expansion of (pow x 2) in p
9.437 * [taylor]: Taking taylor expansion of x in p
9.437 * [backup-simplify]: Simplify x into x
9.437 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.437 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.437 * [backup-simplify]: Simplify (* 4 1) into 4
9.438 * [backup-simplify]: Simplify (+ 4 0) into 4
9.438 * [backup-simplify]: Simplify (sqrt 4) into 2
9.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.439 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
9.440 * [backup-simplify]: Simplify (+ 0 0) into 0
9.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
9.444 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
9.444 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
9.444 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
9.445 * [taylor]: Taking taylor expansion of 4 in x
9.445 * [backup-simplify]: Simplify 4 into 4
9.445 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
9.445 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.445 * [taylor]: Taking taylor expansion of p in x
9.445 * [backup-simplify]: Simplify p into p
9.445 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.445 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
9.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.445 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.445 * [taylor]: Taking taylor expansion of x in x
9.445 * [backup-simplify]: Simplify 0 into 0
9.445 * [backup-simplify]: Simplify 1 into 1
9.445 * [backup-simplify]: Simplify (* 1 1) into 1
9.446 * [backup-simplify]: Simplify (/ 1 1) into 1
9.446 * [backup-simplify]: Simplify (+ 0 1) into 1
9.446 * [backup-simplify]: Simplify (sqrt 1) into 1
9.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.447 * [backup-simplify]: Simplify (+ 0 0) into 0
9.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.448 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
9.448 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
9.448 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
9.448 * [taylor]: Taking taylor expansion of 4 in x
9.448 * [backup-simplify]: Simplify 4 into 4
9.448 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
9.448 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.448 * [taylor]: Taking taylor expansion of p in x
9.448 * [backup-simplify]: Simplify p into p
9.448 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.448 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
9.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.448 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.448 * [taylor]: Taking taylor expansion of x in x
9.448 * [backup-simplify]: Simplify 0 into 0
9.448 * [backup-simplify]: Simplify 1 into 1
9.448 * [backup-simplify]: Simplify (* 1 1) into 1
9.449 * [backup-simplify]: Simplify (/ 1 1) into 1
9.449 * [backup-simplify]: Simplify (+ 0 1) into 1
9.449 * [backup-simplify]: Simplify (sqrt 1) into 1
9.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.450 * [backup-simplify]: Simplify (+ 0 0) into 0
9.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.451 * [taylor]: Taking taylor expansion of 1 in p
9.451 * [backup-simplify]: Simplify 1 into 1
9.451 * [taylor]: Taking taylor expansion of 0 in p
9.451 * [backup-simplify]: Simplify 0 into 0
9.451 * [backup-simplify]: Simplify 1 into 1
9.451 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
9.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.452 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
9.453 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
9.453 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
9.453 * [taylor]: Taking taylor expansion of 2 in p
9.453 * [backup-simplify]: Simplify 2 into 2
9.453 * [taylor]: Taking taylor expansion of (pow p 2) in p
9.453 * [taylor]: Taking taylor expansion of p in p
9.453 * [backup-simplify]: Simplify 0 into 0
9.453 * [backup-simplify]: Simplify 1 into 1
9.453 * [backup-simplify]: Simplify (* 1 1) into 1
9.453 * [backup-simplify]: Simplify (/ 2 1) into 2
9.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
9.454 * [backup-simplify]: Simplify 0 into 0
9.454 * [backup-simplify]: Simplify 0 into 0
9.454 * [backup-simplify]: Simplify 0 into 0
9.455 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
9.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
9.455 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
9.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.456 * [backup-simplify]: Simplify (+ 0 0) into 0
9.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
9.457 * [taylor]: Taking taylor expansion of 0 in p
9.457 * [backup-simplify]: Simplify 0 into 0
9.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.458 * [backup-simplify]: Simplify 0 into 0
9.458 * [backup-simplify]: Simplify 0 into 0
9.458 * [backup-simplify]: Simplify 0 into 0
9.458 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
9.458 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
9.458 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
9.458 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
9.458 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
9.458 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
9.458 * [taylor]: Taking taylor expansion of 4 in p
9.458 * [backup-simplify]: Simplify 4 into 4
9.458 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
9.458 * [taylor]: Taking taylor expansion of (pow p 2) in p
9.458 * [taylor]: Taking taylor expansion of p in p
9.458 * [backup-simplify]: Simplify 0 into 0
9.458 * [backup-simplify]: Simplify 1 into 1
9.459 * [backup-simplify]: Simplify (* 1 1) into 1
9.459 * [backup-simplify]: Simplify (/ 1 1) into 1
9.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
9.459 * [taylor]: Taking taylor expansion of (pow x 2) in p
9.459 * [taylor]: Taking taylor expansion of x in p
9.459 * [backup-simplify]: Simplify x into x
9.459 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.459 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.459 * [backup-simplify]: Simplify (* 4 1) into 4
9.460 * [backup-simplify]: Simplify (+ 4 0) into 4
9.460 * [backup-simplify]: Simplify (sqrt 4) into 2
9.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.461 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
9.462 * [backup-simplify]: Simplify (+ 0 0) into 0
9.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
9.462 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
9.462 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
9.462 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
9.462 * [taylor]: Taking taylor expansion of 4 in x
9.462 * [backup-simplify]: Simplify 4 into 4
9.462 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
9.462 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.462 * [taylor]: Taking taylor expansion of p in x
9.462 * [backup-simplify]: Simplify p into p
9.462 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.462 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
9.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.462 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.462 * [taylor]: Taking taylor expansion of x in x
9.462 * [backup-simplify]: Simplify 0 into 0
9.462 * [backup-simplify]: Simplify 1 into 1
9.463 * [backup-simplify]: Simplify (* 1 1) into 1
9.463 * [backup-simplify]: Simplify (/ 1 1) into 1
9.463 * [backup-simplify]: Simplify (+ 0 1) into 1
9.463 * [backup-simplify]: Simplify (sqrt 1) into 1
9.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.464 * [backup-simplify]: Simplify (+ 0 0) into 0
9.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.465 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
9.465 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
9.465 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
9.465 * [taylor]: Taking taylor expansion of 4 in x
9.465 * [backup-simplify]: Simplify 4 into 4
9.465 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
9.465 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.465 * [taylor]: Taking taylor expansion of p in x
9.465 * [backup-simplify]: Simplify p into p
9.465 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.465 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
9.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.465 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.465 * [taylor]: Taking taylor expansion of x in x
9.465 * [backup-simplify]: Simplify 0 into 0
9.465 * [backup-simplify]: Simplify 1 into 1
9.465 * [backup-simplify]: Simplify (* 1 1) into 1
9.466 * [backup-simplify]: Simplify (/ 1 1) into 1
9.466 * [backup-simplify]: Simplify (+ 0 1) into 1
9.466 * [backup-simplify]: Simplify (sqrt 1) into 1
9.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.467 * [backup-simplify]: Simplify (+ 0 0) into 0
9.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.468 * [taylor]: Taking taylor expansion of 1 in p
9.468 * [backup-simplify]: Simplify 1 into 1
9.468 * [taylor]: Taking taylor expansion of 0 in p
9.468 * [backup-simplify]: Simplify 0 into 0
9.468 * [backup-simplify]: Simplify 1 into 1
9.468 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
9.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.469 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
9.470 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
9.470 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
9.470 * [taylor]: Taking taylor expansion of 2 in p
9.470 * [backup-simplify]: Simplify 2 into 2
9.470 * [taylor]: Taking taylor expansion of (pow p 2) in p
9.470 * [taylor]: Taking taylor expansion of p in p
9.470 * [backup-simplify]: Simplify 0 into 0
9.470 * [backup-simplify]: Simplify 1 into 1
9.470 * [backup-simplify]: Simplify (* 1 1) into 1
9.471 * [backup-simplify]: Simplify (/ 2 1) into 2
9.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
9.472 * [backup-simplify]: Simplify 0 into 0
9.472 * [backup-simplify]: Simplify 0 into 0
9.472 * [backup-simplify]: Simplify 0 into 0
9.472 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
9.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
9.472 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
9.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.474 * [backup-simplify]: Simplify (+ 0 0) into 0
9.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
9.474 * [taylor]: Taking taylor expansion of 0 in p
9.474 * [backup-simplify]: Simplify 0 into 0
9.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.475 * [backup-simplify]: Simplify 0 into 0
9.475 * [backup-simplify]: Simplify 0 into 0
9.475 * [backup-simplify]: Simplify 0 into 0
9.475 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
9.476 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1 2 2 2 1 1 1 1)
9.476 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
9.476 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
9.476 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
9.476 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
9.476 * [taylor]: Taking taylor expansion of (pow x 2) in p
9.476 * [taylor]: Taking taylor expansion of x in p
9.476 * [backup-simplify]: Simplify x into x
9.476 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
9.476 * [taylor]: Taking taylor expansion of 4 in p
9.476 * [backup-simplify]: Simplify 4 into 4
9.476 * [taylor]: Taking taylor expansion of (pow p 2) in p
9.476 * [taylor]: Taking taylor expansion of p in p
9.476 * [backup-simplify]: Simplify 0 into 0
9.476 * [backup-simplify]: Simplify 1 into 1
9.476 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.476 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
9.476 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
9.476 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
9.476 * [backup-simplify]: Simplify (+ 0 0) into 0
9.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
9.477 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
9.477 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
9.477 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.477 * [taylor]: Taking taylor expansion of x in x
9.477 * [backup-simplify]: Simplify 0 into 0
9.477 * [backup-simplify]: Simplify 1 into 1
9.477 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
9.477 * [taylor]: Taking taylor expansion of 4 in x
9.477 * [backup-simplify]: Simplify 4 into 4
9.477 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.477 * [taylor]: Taking taylor expansion of p in x
9.477 * [backup-simplify]: Simplify p into p
9.477 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.477 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
9.477 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
9.477 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
9.477 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
9.477 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
9.478 * [backup-simplify]: Simplify (+ 0 0) into 0
9.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
9.478 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
9.478 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
9.478 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.478 * [taylor]: Taking taylor expansion of x in x
9.478 * [backup-simplify]: Simplify 0 into 0
9.478 * [backup-simplify]: Simplify 1 into 1
9.478 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
9.478 * [taylor]: Taking taylor expansion of 4 in x
9.478 * [backup-simplify]: Simplify 4 into 4
9.478 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.478 * [taylor]: Taking taylor expansion of p in x
9.478 * [backup-simplify]: Simplify p into p
9.478 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.478 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
9.478 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
9.478 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
9.478 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
9.478 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
9.479 * [backup-simplify]: Simplify (+ 0 0) into 0
9.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
9.479 * [taylor]: Taking taylor expansion of (* 2 p) in p
9.479 * [taylor]: Taking taylor expansion of 2 in p
9.479 * [backup-simplify]: Simplify 2 into 2
9.479 * [taylor]: Taking taylor expansion of p in p
9.479 * [backup-simplify]: Simplify 0 into 0
9.479 * [backup-simplify]: Simplify 1 into 1
9.479 * [backup-simplify]: Simplify (* 2 0) into 0
9.479 * [backup-simplify]: Simplify 0 into 0
9.479 * [taylor]: Taking taylor expansion of 0 in p
9.479 * [backup-simplify]: Simplify 0 into 0
9.479 * [backup-simplify]: Simplify 0 into 0
9.480 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
9.480 * [backup-simplify]: Simplify 2 into 2
9.480 * [backup-simplify]: Simplify (* 1 1) into 1
9.480 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
9.481 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
9.481 * [backup-simplify]: Simplify (+ 1 0) into 1
9.482 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
9.482 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
9.482 * [taylor]: Taking taylor expansion of 1/4 in p
9.482 * [backup-simplify]: Simplify 1/4 into 1/4
9.482 * [taylor]: Taking taylor expansion of p in p
9.482 * [backup-simplify]: Simplify 0 into 0
9.482 * [backup-simplify]: Simplify 1 into 1
9.482 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
9.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
9.483 * [backup-simplify]: Simplify 0 into 0
9.483 * [backup-simplify]: Simplify 0 into 0
9.483 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
9.483 * [backup-simplify]: Simplify 0 into 0
9.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.484 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
9.485 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
9.485 * [backup-simplify]: Simplify (+ 0 0) into 0
9.485 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
9.485 * [taylor]: Taking taylor expansion of 0 in p
9.486 * [backup-simplify]: Simplify 0 into 0
9.486 * [backup-simplify]: Simplify 0 into 0
9.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.486 * [backup-simplify]: Simplify 0 into 0
9.486 * [backup-simplify]: Simplify 0 into 0
9.486 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
9.486 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
9.486 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
9.486 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
9.487 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
9.487 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
9.487 * [taylor]: Taking taylor expansion of 4 in p
9.487 * [backup-simplify]: Simplify 4 into 4
9.487 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
9.487 * [taylor]: Taking taylor expansion of (pow p 2) in p
9.487 * [taylor]: Taking taylor expansion of p in p
9.487 * [backup-simplify]: Simplify 0 into 0
9.487 * [backup-simplify]: Simplify 1 into 1
9.487 * [backup-simplify]: Simplify (* 1 1) into 1
9.487 * [backup-simplify]: Simplify (/ 1 1) into 1
9.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
9.487 * [taylor]: Taking taylor expansion of (pow x 2) in p
9.487 * [taylor]: Taking taylor expansion of x in p
9.487 * [backup-simplify]: Simplify x into x
9.487 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.487 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.488 * [backup-simplify]: Simplify (* 4 1) into 4
9.488 * [backup-simplify]: Simplify (+ 4 0) into 4
9.488 * [backup-simplify]: Simplify (sqrt 4) into 2
9.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.489 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
9.490 * [backup-simplify]: Simplify (+ 0 0) into 0
9.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
9.490 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
9.490 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
9.490 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
9.490 * [taylor]: Taking taylor expansion of 4 in x
9.490 * [backup-simplify]: Simplify 4 into 4
9.490 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
9.490 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.490 * [taylor]: Taking taylor expansion of p in x
9.490 * [backup-simplify]: Simplify p into p
9.490 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.490 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
9.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.490 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.490 * [taylor]: Taking taylor expansion of x in x
9.490 * [backup-simplify]: Simplify 0 into 0
9.490 * [backup-simplify]: Simplify 1 into 1
9.491 * [backup-simplify]: Simplify (* 1 1) into 1
9.491 * [backup-simplify]: Simplify (/ 1 1) into 1
9.491 * [backup-simplify]: Simplify (+ 0 1) into 1
9.491 * [backup-simplify]: Simplify (sqrt 1) into 1
9.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.493 * [backup-simplify]: Simplify (+ 0 0) into 0
9.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.493 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
9.493 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
9.493 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
9.493 * [taylor]: Taking taylor expansion of 4 in x
9.493 * [backup-simplify]: Simplify 4 into 4
9.493 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
9.493 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.493 * [taylor]: Taking taylor expansion of p in x
9.493 * [backup-simplify]: Simplify p into p
9.493 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.493 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
9.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.493 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.493 * [taylor]: Taking taylor expansion of x in x
9.493 * [backup-simplify]: Simplify 0 into 0
9.493 * [backup-simplify]: Simplify 1 into 1
9.494 * [backup-simplify]: Simplify (* 1 1) into 1
9.494 * [backup-simplify]: Simplify (/ 1 1) into 1
9.494 * [backup-simplify]: Simplify (+ 0 1) into 1
9.494 * [backup-simplify]: Simplify (sqrt 1) into 1
9.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.496 * [backup-simplify]: Simplify (+ 0 0) into 0
9.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.496 * [taylor]: Taking taylor expansion of 1 in p
9.496 * [backup-simplify]: Simplify 1 into 1
9.496 * [taylor]: Taking taylor expansion of 0 in p
9.496 * [backup-simplify]: Simplify 0 into 0
9.496 * [backup-simplify]: Simplify 1 into 1
9.496 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
9.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.498 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
9.499 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
9.499 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
9.499 * [taylor]: Taking taylor expansion of 2 in p
9.499 * [backup-simplify]: Simplify 2 into 2
9.499 * [taylor]: Taking taylor expansion of (pow p 2) in p
9.499 * [taylor]: Taking taylor expansion of p in p
9.499 * [backup-simplify]: Simplify 0 into 0
9.499 * [backup-simplify]: Simplify 1 into 1
9.499 * [backup-simplify]: Simplify (* 1 1) into 1
9.499 * [backup-simplify]: Simplify (/ 2 1) into 2
9.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
9.500 * [backup-simplify]: Simplify 0 into 0
9.500 * [backup-simplify]: Simplify 0 into 0
9.500 * [backup-simplify]: Simplify 0 into 0
9.500 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
9.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
9.501 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
9.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.502 * [backup-simplify]: Simplify (+ 0 0) into 0
9.503 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
9.503 * [taylor]: Taking taylor expansion of 0 in p
9.503 * [backup-simplify]: Simplify 0 into 0
9.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.504 * [backup-simplify]: Simplify 0 into 0
9.504 * [backup-simplify]: Simplify 0 into 0
9.504 * [backup-simplify]: Simplify 0 into 0
9.504 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
9.504 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
9.504 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
9.504 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
9.504 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
9.504 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
9.504 * [taylor]: Taking taylor expansion of 4 in p
9.504 * [backup-simplify]: Simplify 4 into 4
9.504 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
9.504 * [taylor]: Taking taylor expansion of (pow p 2) in p
9.505 * [taylor]: Taking taylor expansion of p in p
9.505 * [backup-simplify]: Simplify 0 into 0
9.505 * [backup-simplify]: Simplify 1 into 1
9.505 * [backup-simplify]: Simplify (* 1 1) into 1
9.505 * [backup-simplify]: Simplify (/ 1 1) into 1
9.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
9.505 * [taylor]: Taking taylor expansion of (pow x 2) in p
9.505 * [taylor]: Taking taylor expansion of x in p
9.505 * [backup-simplify]: Simplify x into x
9.505 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.505 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.506 * [backup-simplify]: Simplify (* 4 1) into 4
9.506 * [backup-simplify]: Simplify (+ 4 0) into 4
9.506 * [backup-simplify]: Simplify (sqrt 4) into 2
9.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.507 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
9.508 * [backup-simplify]: Simplify (+ 0 0) into 0
9.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
9.508 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
9.508 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
9.508 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
9.508 * [taylor]: Taking taylor expansion of 4 in x
9.508 * [backup-simplify]: Simplify 4 into 4
9.508 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
9.508 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.508 * [taylor]: Taking taylor expansion of p in x
9.508 * [backup-simplify]: Simplify p into p
9.508 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.508 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
9.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.508 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.508 * [taylor]: Taking taylor expansion of x in x
9.508 * [backup-simplify]: Simplify 0 into 0
9.508 * [backup-simplify]: Simplify 1 into 1
9.509 * [backup-simplify]: Simplify (* 1 1) into 1
9.509 * [backup-simplify]: Simplify (/ 1 1) into 1
9.509 * [backup-simplify]: Simplify (+ 0 1) into 1
9.509 * [backup-simplify]: Simplify (sqrt 1) into 1
9.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.511 * [backup-simplify]: Simplify (+ 0 0) into 0
9.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.511 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
9.511 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
9.511 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
9.511 * [taylor]: Taking taylor expansion of 4 in x
9.511 * [backup-simplify]: Simplify 4 into 4
9.511 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
9.511 * [taylor]: Taking taylor expansion of (pow p 2) in x
9.511 * [taylor]: Taking taylor expansion of p in x
9.511 * [backup-simplify]: Simplify p into p
9.511 * [backup-simplify]: Simplify (* p p) into (pow p 2)
9.511 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
9.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.511 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.511 * [taylor]: Taking taylor expansion of x in x
9.511 * [backup-simplify]: Simplify 0 into 0
9.511 * [backup-simplify]: Simplify 1 into 1
9.512 * [backup-simplify]: Simplify (* 1 1) into 1
9.512 * [backup-simplify]: Simplify (/ 1 1) into 1
9.512 * [backup-simplify]: Simplify (+ 0 1) into 1
9.512 * [backup-simplify]: Simplify (sqrt 1) into 1
9.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.513 * [backup-simplify]: Simplify (+ 0 0) into 0
9.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.514 * [taylor]: Taking taylor expansion of 1 in p
9.514 * [backup-simplify]: Simplify 1 into 1
9.514 * [taylor]: Taking taylor expansion of 0 in p
9.514 * [backup-simplify]: Simplify 0 into 0
9.514 * [backup-simplify]: Simplify 1 into 1
9.514 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
9.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.515 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
9.516 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
9.516 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
9.516 * [taylor]: Taking taylor expansion of 2 in p
9.516 * [backup-simplify]: Simplify 2 into 2
9.516 * [taylor]: Taking taylor expansion of (pow p 2) in p
9.516 * [taylor]: Taking taylor expansion of p in p
9.516 * [backup-simplify]: Simplify 0 into 0
9.516 * [backup-simplify]: Simplify 1 into 1
9.516 * [backup-simplify]: Simplify (* 1 1) into 1
9.517 * [backup-simplify]: Simplify (/ 2 1) into 2
9.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
9.518 * [backup-simplify]: Simplify 0 into 0
9.518 * [backup-simplify]: Simplify 0 into 0
9.518 * [backup-simplify]: Simplify 0 into 0
9.518 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
9.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
9.518 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
9.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.520 * [backup-simplify]: Simplify (+ 0 0) into 0
9.520 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
9.520 * [taylor]: Taking taylor expansion of 0 in p
9.520 * [backup-simplify]: Simplify 0 into 0
9.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.521 * [backup-simplify]: Simplify 0 into 0
9.521 * [backup-simplify]: Simplify 0 into 0
9.521 * [backup-simplify]: Simplify 0 into 0
9.521 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
9.521 * * * [progress]: simplifying candidates
9.521 * * * * [progress]: [ 1 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (pow (+ (* x x) (* (* p 4) p)) 1/2)))))))))>
9.521 * * * * [progress]: [ 2 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (pow (sqrt (+ (* x x) (* (* p 4) p))) 1)))))))))>
9.522 * * * * [progress]: [ 3 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (exp (log (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
9.522 * * * * [progress]: [ 4 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (log (exp (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
9.522 * * * * [progress]: [ 5 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
9.522 * * * * [progress]: [ 6 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (cbrt (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
9.522 * * * * [progress]: [ 7 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (* (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))))))))))))>
9.522 * * * * [progress]: [ 8 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
9.522 * * * * [progress]: [ 9 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (* (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
9.522 * * * * [progress]: [ 10 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))))))))))))>
9.522 * * * * [progress]: [ 11 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))))))))))))>
9.522 * * * * [progress]: [ 12 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (pow (+ (* x x) (* (* p 4) p)) (/ 1 2))))))))))>
9.522 * * * * [progress]: [ 13 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
9.522 * * * * [progress]: [ 14 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (fabs (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
9.522 * * * * [progress]: [ 15 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (* 1 (sqrt (+ (* x x) (* (* p 4) p))))))))))))>
9.522 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))))))))))))>
9.522 * * * * [progress]: [ 17 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (pow (+ (* x x) (* (* p 4) p)) 1/2))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.523 * * * * [progress]: [ 18 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (pow (sqrt (+ (* x x) (* (* p 4) p))) 1))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.523 * * * * [progress]: [ 19 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (exp (log (sqrt (+ (* x x) (* (* p 4) p))))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.523 * * * * [progress]: [ 20 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (log (exp (sqrt (+ (* x x) (* (* p 4) p))))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.523 * * * * [progress]: [ 21 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.523 * * * * [progress]: [ 22 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (cbrt (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.523 * * * * [progress]: [ 23 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.523 * * * * [progress]: [ 24 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.523 * * * * [progress]: [ 25 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p)))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.523 * * * * [progress]: [ 26 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p)))))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.523 * * * * [progress]: [ 27 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p)))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.523 * * * * [progress]: [ 28 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (pow (+ (* x x) (* (* p 4) p)) (/ 1 2)))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.523 * * * * [progress]: [ 29 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.523 * * * * [progress]: [ 30 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (fabs (sqrt (+ (* x x) (* (* p 4) p)))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.523 * * * * [progress]: [ 31 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* 1 (sqrt (+ (* x x) (* (* p 4) p)))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.523 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.524 * * * * [progress]: [ 33 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (pow (+ (* x x) (* (* p 4) p)) 1/2))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.524 * * * * [progress]: [ 34 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (pow (sqrt (+ (* x x) (* (* p 4) p))) 1))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.524 * * * * [progress]: [ 35 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (exp (log (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.524 * * * * [progress]: [ 36 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (log (exp (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.524 * * * * [progress]: [ 37 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.524 * * * * [progress]: [ 38 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (cbrt (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.524 * * * * [progress]: [ 39 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.524 * * * * [progress]: [ 40 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.524 * * * * [progress]: [ 41 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.524 * * * * [progress]: [ 42 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p)))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.524 * * * * [progress]: [ 43 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.524 * * * * [progress]: [ 44 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (pow (+ (* x x) (* (* p 4) p)) (/ 1 2)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.524 * * * * [progress]: [ 45 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.524 * * * * [progress]: [ 46 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (fabs (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.524 * * * * [progress]: [ 47 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* 1 (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.524 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.525 * * * * [progress]: [ 49 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (pow (+ (* x x) (* (* p 4) p)) 1/2)) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.525 * * * * [progress]: [ 50 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (pow (sqrt (+ (* x x) (* (* p 4) p))) 1)) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.525 * * * * [progress]: [ 51 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (exp (log (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.525 * * * * [progress]: [ 52 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (log (exp (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.525 * * * * [progress]: [ 53 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.525 * * * * [progress]: [ 54 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (cbrt (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.525 * * * * [progress]: [ 55 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (* (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.525 * * * * [progress]: [ 56 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.525 * * * * [progress]: [ 57 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (* (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.525 * * * * [progress]: [ 58 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.525 * * * * [progress]: [ 59 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.525 * * * * [progress]: [ 60 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (pow (+ (* x x) (* (* p 4) p)) (/ 1 2))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.525 * * * * [progress]: [ 61 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.525 * * * * [progress]: [ 62 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (fabs (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.525 * * * * [progress]: [ 63 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (* 1 (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.526 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.526 * * * * [progress]: [ 65 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (* 2 p)))))))))>
9.526 * * * * [progress]: [ 66 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 x))))))))>
9.526 * * * * [progress]: [ 67 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (* -1 x)))))))))>
9.526 * * * * [progress]: [ 68 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* 2 p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.526 * * * * [progress]: [ 69 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt x)))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.526 * * * * [progress]: [ 70 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* -1 x))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.526 * * * * [progress]: [ 71 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* 2 p))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.526 * * * * [progress]: [ 72 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt x)) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.526 * * * * [progress]: [ 73 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (* -1 x))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.526 * * * * [progress]: [ 74 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (* 2 p)) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.526 * * * * [progress]: [ 75 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt x) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.526 * * * * [progress]: [ 76 / 76 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (* -1 x)) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>
9.527 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p)))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p)))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p)))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p)))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (* 2 p)
  x
  (* -1 x)
  (* 2 p)
  x
  (* -1 x)
  (* 2 p)
  x
  (* -1 x)
  (* 2 p)
  x
  (* -1 x)
9.528 * * [simplify]: iteration 1: (42 enodes)
9.540 * * [simplify]: iteration 2: (97 enodes)
9.562 * * [simplify]: iteration 3: (253 enodes)
9.646 * * [simplify]: iteration 4: (650 enodes)
9.888 * * [simplify]: iteration 5: (1481 enodes)
10.683 * * [simplify]: Extracting #0: cost 19 inf + 0
10.683 * * [simplify]: Extracting #1: cost 30 inf + 3
10.683 * * [simplify]: Extracting #2: cost 64 inf + 90
10.684 * * [simplify]: Extracting #3: cost 271 inf + 1177
10.690 * * [simplify]: Extracting #4: cost 315 inf + 24127
10.708 * * [simplify]: Extracting #5: cost 114 inf + 86351
10.731 * * [simplify]: Extracting #6: cost 5 inf + 143479
10.760 * * [simplify]: Extracting #7: cost 0 inf + 146127
10.785 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p))))
  (fabs (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  1
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (* (* 64 (* (* p p) (* p p))) (* p p)) (* (* (* x x) (* x x)) (* x x))))
  (sqrt (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (- (* (* p 4) p) (* x x)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p))))
  (fabs (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  1
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (* (* 64 (* (* p p) (* p p))) (* p p)) (* (* (* x x) (* x x)) (* x x))))
  (sqrt (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (- (* (* p 4) p) (* x x)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p))))
  (fabs (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  1
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (* (* 64 (* (* p p) (* p p))) (* p p)) (* (* (* x x) (* x x)) (* x x))))
  (sqrt (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (- (* (* p 4) p) (* x x)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (log (sqrt (+ (* x x) (* (* p 4) p))))
  (exp (sqrt (+ (* x x) (* (* p 4) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))
  (cbrt (sqrt (+ (* x x) (* (* p 4) p))))
  (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p))))
  (fabs (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (cbrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  1
  (sqrt (+ (* x x) (* (* p 4) p)))
  (sqrt (+ (* (* 64 (* (* p p) (* p p))) (* p p)) (* (* (* x x) (* x x)) (* x x))))
  (sqrt (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (- (* (* p 4) p) (* x x)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))))
  (sqrt (- (* x x) (* (* p 4) p)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (sqrt (sqrt (+ (* x x) (* (* p 4) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))
  (* p 2)
  x
  (- x)
  (* p 2)
  x
  (- x)
  (* p 2)
  x
  (- x)
  (* p 2)
  x
  (- x)
10.812 * * * [progress]: adding candidates to table
12.414 * [progress]: [Phase 3 of 3] Extracting.
12.415 * * [regime]: Finding splitpoints for: (#<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (* (fabs (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (/ (sqrt (+ (* (* 64 (* p (* p p))) (* p (* p p))) (* (* x (* x x)) (* x (* x x))))) (sqrt (+ (* (* (* p 4) p) (* (* p 4) p)) (* (- (* x x) (* (* p 4) p)) (* x x))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))))))))))))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* 2 p))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #<alt (λ (p x) (sqrt (+ (cbrt (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5))) 0.5)))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (cbrt (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>)
12.424 * * * [regime-changes]: Trying 2 branch expressions: (p x)
12.424 * * * * [regimes]: Trying to branch on p from (#<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (* (fabs (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (/ (sqrt (+ (* (* 64 (* p (* p p))) (* p (* p p))) (* (* x (* x x)) (* x (* x x))))) (sqrt (+ (* (* (* p 4) p) (* (* p 4) p)) (* (- (* x x) (* (* p 4) p)) (* x x))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))))))))))))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* 2 p))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #<alt (λ (p x) (sqrt (+ (cbrt (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5))) 0.5)))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (cbrt (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>)
12.509 * * * * [regimes]: Trying to branch on x from (#<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (* (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (* (fabs (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (/ (sqrt (+ (* (* 64 (* p (* p p))) (* p (* p p))) (* (* x (* x x)) (* x (* x x))))) (sqrt (+ (* (* (* p 4) p) (* (* p 4) p)) (* (- (* x x) (* (* p 4) p)) (* x x))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))))))))))))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* 2 p))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #<alt (λ (p x) (sqrt (+ (cbrt (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5))) 0.5)))> #<alt (λ (p x) (sqrt (/ (+ (* (/ (* x 0.5) (/ (cbrt (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))))))))))>)
12.597 * * * [regime]: Found split indices: #<option (#s(si 4 255))>
12.597 * [simplify]: Simplifying:
  (sqrt (/ (+ (* (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))) (* x 0.5)) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))))))
12.598 * * [simplify]: iteration 1: (31 enodes)
12.600 * * [simplify]: iteration 2: (43 enodes)
12.601 * * [simplify]: Extracting #0: cost 1 inf + 0
12.601 * * [simplify]: Extracting #1: cost 2 inf + 0
12.601 * * [simplify]: Extracting #2: cost 4 inf + 0
12.601 * * [simplify]: Extracting #3: cost 8 inf + 0
12.601 * * [simplify]: Extracting #4: cost 13 inf + 0
12.601 * * [simplify]: Extracting #5: cost 16 inf + 1
12.601 * * [simplify]: Extracting #6: cost 17 inf + 124
12.601 * * [simplify]: Extracting #7: cost 19 inf + 166
12.601 * * [simplify]: Extracting #8: cost 23 inf + 166
12.602 * * [simplify]: Extracting #9: cost 24 inf + 207
12.602 * * [simplify]: Extracting #10: cost 24 inf + 208
12.602 * * [simplify]: Extracting #11: cost 23 inf + 209
12.602 * * [simplify]: Extracting #12: cost 19 inf + 699
12.602 * * [simplify]: Extracting #13: cost 13 inf + 2562
12.603 * * [simplify]: Extracting #14: cost 10 inf + 3693
12.604 * * [simplify]: Extracting #15: cost 7 inf + 4823
12.604 * * [simplify]: Extracting #16: cost 6 inf + 5306
12.605 * * [simplify]: Extracting #17: cost 5 inf + 5830
12.606 * * [simplify]: Extracting #18: cost 2 inf + 7922
12.608 * * [simplify]: Extracting #19: cost 1 inf + 9046
12.610 * * [simplify]: Extracting #20: cost 0 inf + 10210
12.611 * [simplify]: Simplified to:
  (sqrt (/ (+ (* 0.5 (* 0.5 0.5)) (* (* x 0.5) (/ (* x 0.5) (/ (sqrt (+ (* x x) (* (* p 4) p))) (/ (* x 0.5) (+ (* x x) (* (* p 4) p))))))) (- (* 0.5 0.5) (* (* x (/ 0.5 (* (cbrt (* (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))))) (- 0.5 (* x (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p))))))))))
16.297 * [regime-testing]: Baseline error score: 13.36132946946397
16.299 * [regime-testing]: Oracle error score: 12.54356825169861
16.303 * [regime-testing]: End program error score: 13.36132946946397
16.363 * [regime-testing]: Target error score: 12.820779231882032