27.573 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.079 * * * [progress]: [2/2] Setting up program.
0.083 * [progress]: [Phase 2 of 3] Improving.
0.083 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (p x) (sqrt (* 0.5 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))))>
0.083 * [simplify]: Simplifying:
  (sqrt (* 0.5 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
0.083 * * [simplify]: iteration 1: (14 enodes)
0.086 * * [simplify]: iteration 2: (27 enodes)
0.091 * * [simplify]: iteration 3: (34 enodes)
0.096 * * [simplify]: iteration 4: (38 enodes)
0.100 * * [simplify]: iteration 5: (40 enodes)
0.105 * * [simplify]: Extracting #0: cost 1 inf + 0
0.105 * * [simplify]: Extracting #1: cost 2 inf + 0
0.105 * * [simplify]: Extracting #2: cost 5 inf + 0
0.105 * * [simplify]: Extracting #3: cost 12 inf + 1
0.105 * * [simplify]: Extracting #4: cost 10 inf + 45
0.105 * * [simplify]: Extracting #5: cost 12 inf + 45
0.106 * * [simplify]: Extracting #6: cost 15 inf + 86
0.106 * * [simplify]: Extracting #7: cost 11 inf + 171
0.106 * * [simplify]: Extracting #8: cost 10 inf + 253
0.106 * * [simplify]: Extracting #9: cost 8 inf + 619
0.106 * * [simplify]: Extracting #10: cost 2 inf + 2161
0.107 * * [simplify]: Extracting #11: cost 0 inf + 2849
0.107 * [simplify]: Simplified to:
  (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))
0.112 * * [progress]: iteration 1 / 4
0.112 * * * [progress]: picking best candidate
0.118 * * * * [pick]: Picked  #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))>
0.118 * * * [progress]: localizing error
0.167 * * * [progress]: generating rewritten candidates
0.167 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2)
0.180 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.208 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 1 2)
0.223 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
0.249 * * * [progress]: generating series expansions
0.249 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2)
0.249 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p p) 4))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
0.250 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
0.250 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
0.250 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
0.250 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.250 * [taylor]: Taking taylor expansion of x in p
0.250 * [backup-simplify]: Simplify x into x
0.250 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
0.250 * [taylor]: Taking taylor expansion of 4 in p
0.250 * [backup-simplify]: Simplify 4 into 4
0.250 * [taylor]: Taking taylor expansion of (pow p 2) in p
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 (* x x) into (pow x 2)
0.250 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.250 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.250 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
0.251 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.251 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.251 * [taylor]: Taking taylor expansion of x in x
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.251 * [taylor]: Taking taylor expansion of 4 in x
0.251 * [backup-simplify]: Simplify 4 into 4
0.251 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.251 * [taylor]: Taking taylor expansion of p in x
0.251 * [backup-simplify]: Simplify p into p
0.251 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.251 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.252 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.252 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
0.252 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.252 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.253 * [backup-simplify]: Simplify (+ 0 0) into 0
0.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
0.253 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
0.253 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.253 * [taylor]: Taking taylor expansion of x in x
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.253 * [taylor]: Taking taylor expansion of 4 in x
0.253 * [backup-simplify]: Simplify 4 into 4
0.253 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.253 * [taylor]: Taking taylor expansion of p in x
0.253 * [backup-simplify]: Simplify p into p
0.253 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.253 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.253 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.254 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
0.254 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.254 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.255 * [backup-simplify]: Simplify (+ 0 0) into 0
0.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
0.255 * [taylor]: Taking taylor expansion of (* 2 p) in p
0.255 * [taylor]: Taking taylor expansion of 2 in p
0.255 * [backup-simplify]: Simplify 2 into 2
0.255 * [taylor]: Taking taylor expansion of p in p
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 1 into 1
0.255 * [backup-simplify]: Simplify (* 2 0) into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [taylor]: Taking taylor expansion of 0 in p
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
0.256 * [backup-simplify]: Simplify 2 into 2
0.256 * [backup-simplify]: Simplify (* 1 1) into 1
0.257 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
0.257 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
0.257 * [backup-simplify]: Simplify (+ 1 0) into 1
0.258 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
0.258 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
0.258 * [taylor]: Taking taylor expansion of 1/4 in p
0.258 * [backup-simplify]: Simplify 1/4 into 1/4
0.258 * [taylor]: Taking taylor expansion of p in p
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 1 into 1
0.258 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
0.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
0.259 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.260 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
0.261 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
0.261 * [backup-simplify]: Simplify (+ 0 0) into 0
0.261 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
0.261 * [taylor]: Taking taylor expansion of 0 in p
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
0.262 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
0.262 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.262 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.262 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.262 * [taylor]: Taking taylor expansion of 4 in p
0.262 * [backup-simplify]: Simplify 4 into 4
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.262 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.262 * [taylor]: Taking taylor expansion of p in p
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.263 * [backup-simplify]: Simplify (* 1 1) into 1
0.263 * [backup-simplify]: Simplify (/ 1 1) into 1
0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.263 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.263 * [taylor]: Taking taylor expansion of x in p
0.263 * [backup-simplify]: Simplify x into x
0.263 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.263 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.263 * [backup-simplify]: Simplify (* 4 1) into 4
0.264 * [backup-simplify]: Simplify (+ 4 0) into 4
0.266 * [backup-simplify]: Simplify (sqrt 4) into 2
0.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.267 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.268 * [backup-simplify]: Simplify (+ 0 0) into 0
0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.268 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.268 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.268 * [taylor]: Taking taylor expansion of 4 in x
0.268 * [backup-simplify]: Simplify 4 into 4
0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.268 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.268 * [taylor]: Taking taylor expansion of p in x
0.268 * [backup-simplify]: Simplify p into p
0.268 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.268 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.269 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.269 * [taylor]: Taking taylor expansion of x in x
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.269 * [backup-simplify]: Simplify (* 1 1) into 1
0.269 * [backup-simplify]: Simplify (/ 1 1) into 1
0.269 * [backup-simplify]: Simplify (+ 0 1) into 1
0.270 * [backup-simplify]: Simplify (sqrt 1) into 1
0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (+ 0 0) into 0
0.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.271 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.271 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.271 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.271 * [taylor]: Taking taylor expansion of 4 in x
0.271 * [backup-simplify]: Simplify 4 into 4
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.271 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.271 * [taylor]: Taking taylor expansion of p in x
0.271 * [backup-simplify]: Simplify p into p
0.272 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.272 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.272 * [taylor]: Taking taylor expansion of x in x
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 * [backup-simplify]: Simplify (+ 0 1) into 1
0.273 * [backup-simplify]: Simplify (sqrt 1) into 1
0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.274 * [taylor]: Taking taylor expansion of 1 in p
0.274 * [backup-simplify]: Simplify 1 into 1
0.274 * [taylor]: Taking taylor expansion of 0 in p
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 1 into 1
0.275 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.276 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.277 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
0.277 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
0.277 * [taylor]: Taking taylor expansion of 2 in p
0.277 * [backup-simplify]: Simplify 2 into 2
0.277 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.277 * [taylor]: Taking taylor expansion of p in p
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 1 into 1
0.277 * [backup-simplify]: Simplify (* 1 1) into 1
0.277 * [backup-simplify]: Simplify (/ 2 1) into 2
0.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
0.279 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.280 * [backup-simplify]: Simplify (+ 0 0) into 0
0.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
0.280 * [taylor]: Taking taylor expansion of 0 in p
0.280 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
0.282 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
0.282 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
0.282 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.282 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.282 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.282 * [taylor]: Taking taylor expansion of 4 in p
0.282 * [backup-simplify]: Simplify 4 into 4
0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.282 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.282 * [taylor]: Taking taylor expansion of p in p
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 1 into 1
0.283 * [backup-simplify]: Simplify (* 1 1) into 1
0.283 * [backup-simplify]: Simplify (/ 1 1) into 1
0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.283 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.283 * [taylor]: Taking taylor expansion of x in p
0.283 * [backup-simplify]: Simplify x into x
0.283 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.283 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.283 * [backup-simplify]: Simplify (* 4 1) into 4
0.284 * [backup-simplify]: Simplify (+ 4 0) into 4
0.284 * [backup-simplify]: Simplify (sqrt 4) into 2
0.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.285 * [backup-simplify]: Simplify (+ 0 0) into 0
0.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
0.286 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.286 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.286 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.286 * [taylor]: Taking taylor expansion of 4 in x
0.286 * [backup-simplify]: Simplify 4 into 4
0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.286 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.286 * [taylor]: Taking taylor expansion of p in x
0.286 * [backup-simplify]: Simplify p into p
0.286 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.286 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.286 * [taylor]: Taking taylor expansion of x in x
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 1 into 1
0.287 * [backup-simplify]: Simplify (* 1 1) into 1
0.287 * [backup-simplify]: Simplify (/ 1 1) into 1
0.287 * [backup-simplify]: Simplify (+ 0 1) into 1
0.288 * [backup-simplify]: Simplify (sqrt 1) into 1
0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.289 * [backup-simplify]: Simplify (+ 0 0) into 0
0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.290 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.290 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.290 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.290 * [taylor]: Taking taylor expansion of 4 in x
0.290 * [backup-simplify]: Simplify 4 into 4
0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.290 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.290 * [taylor]: Taking taylor expansion of p in x
0.290 * [backup-simplify]: Simplify p into p
0.290 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.290 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.290 * [taylor]: Taking taylor expansion of x in x
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 1 into 1
0.291 * [backup-simplify]: Simplify (* 1 1) into 1
0.291 * [backup-simplify]: Simplify (/ 1 1) into 1
0.292 * [backup-simplify]: Simplify (+ 0 1) into 1
0.292 * [backup-simplify]: Simplify (sqrt 1) into 1
0.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.294 * [backup-simplify]: Simplify (+ 0 0) into 0
0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.295 * [taylor]: Taking taylor expansion of 1 in p
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [taylor]: Taking taylor expansion of 0 in p
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.297 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.299 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
0.299 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
0.299 * [taylor]: Taking taylor expansion of 2 in p
0.299 * [backup-simplify]: Simplify 2 into 2
0.299 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.299 * [taylor]: Taking taylor expansion of p in p
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 1 into 1
0.299 * [backup-simplify]: Simplify (* 1 1) into 1
0.300 * [backup-simplify]: Simplify (/ 2 1) into 2
0.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
0.302 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
0.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.304 * [backup-simplify]: Simplify (+ 0 0) into 0
0.305 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
0.305 * [taylor]: Taking taylor expansion of 0 in p
0.305 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
0.307 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.308 * [backup-simplify]: Simplify (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5) into (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))))
0.308 * [approximate]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in (x p) around 0
0.308 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in p
0.308 * [taylor]: Taking taylor expansion of 0.5 in p
0.308 * [backup-simplify]: Simplify 0.5 into 0.5
0.308 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in p
0.308 * [taylor]: Taking taylor expansion of 0.5 in p
0.308 * [backup-simplify]: Simplify 0.5 into 0.5
0.308 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p
0.308 * [taylor]: Taking taylor expansion of x in p
0.308 * [backup-simplify]: Simplify x into x
0.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p
0.308 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p
0.308 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
0.308 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.308 * [taylor]: Taking taylor expansion of x in p
0.308 * [backup-simplify]: Simplify x into x
0.308 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
0.308 * [taylor]: Taking taylor expansion of 4 in p
0.308 * [backup-simplify]: Simplify 4 into 4
0.308 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.308 * [taylor]: Taking taylor expansion of p in p
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 1 into 1
0.308 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.309 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.309 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.309 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
0.309 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.309 * [backup-simplify]: Simplify (+ 0 0) into 0
0.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
0.310 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x
0.310 * [taylor]: Taking taylor expansion of 0.5 in x
0.310 * [backup-simplify]: Simplify 0.5 into 0.5
0.310 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x
0.310 * [taylor]: Taking taylor expansion of 0.5 in x
0.310 * [backup-simplify]: Simplify 0.5 into 0.5
0.310 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
0.310 * [taylor]: Taking taylor expansion of x in x
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify 1 into 1
0.310 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
0.310 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
0.310 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.310 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.310 * [taylor]: Taking taylor expansion of x in x
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify 1 into 1
0.310 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.310 * [taylor]: Taking taylor expansion of 4 in x
0.310 * [backup-simplify]: Simplify 4 into 4
0.310 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.310 * [taylor]: Taking taylor expansion of p in x
0.310 * [backup-simplify]: Simplify p into p
0.310 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.310 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.311 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.311 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
0.311 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
0.311 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.311 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.312 * [backup-simplify]: Simplify (+ 0 0) into 0
0.312 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
0.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
0.312 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x
0.313 * [taylor]: Taking taylor expansion of 0.5 in x
0.313 * [backup-simplify]: Simplify 0.5 into 0.5
0.313 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x
0.313 * [taylor]: Taking taylor expansion of 0.5 in x
0.313 * [backup-simplify]: Simplify 0.5 into 0.5
0.313 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
0.313 * [taylor]: Taking taylor expansion of x in x
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
0.313 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
0.313 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.313 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.313 * [taylor]: Taking taylor expansion of x in x
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.313 * [taylor]: Taking taylor expansion of 4 in x
0.313 * [backup-simplify]: Simplify 4 into 4
0.313 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.313 * [taylor]: Taking taylor expansion of p in x
0.313 * [backup-simplify]: Simplify p into p
0.313 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.313 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.313 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.314 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
0.314 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
0.314 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.314 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.315 * [backup-simplify]: Simplify (+ 0 0) into 0
0.315 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
0.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
0.315 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0
0.316 * [backup-simplify]: Simplify (* 0.5 0) into 0
0.316 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5
0.316 * [taylor]: Taking taylor expansion of 0.5 in p
0.316 * [backup-simplify]: Simplify 0.5 into 0.5
0.316 * [backup-simplify]: Simplify 0.5 into 0.5
0.317 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p))
0.317 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p))
0.317 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 p))) into (* 0.25 (/ 1 p))
0.317 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 p)) in p
0.317 * [taylor]: Taking taylor expansion of 0.25 in p
0.317 * [backup-simplify]: Simplify 0.25 into 0.25
0.317 * [taylor]: Taking taylor expansion of (/ 1 p) in p
0.317 * [taylor]: Taking taylor expansion of p in p
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 1 into 1
0.318 * [backup-simplify]: Simplify (/ 1 1) into 1
0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.319 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify (* 1 1) into 1
0.320 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
0.321 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
0.321 * [backup-simplify]: Simplify (+ 1 0) into 1
0.322 * [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))))
0.323 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3))
0.323 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0
0.324 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0))) into 0
0.325 * [backup-simplify]: Simplify (+ 0 0) into 0
0.325 * [taylor]: Taking taylor expansion of 0 in p
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.327 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.328 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
0.329 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
0.330 * [backup-simplify]: Simplify (+ 0 0) into 0
0.330 * [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
0.330 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (pow p 3)))))) (* 2 (/ 1/2 p))) into 0
0.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -1/16 (pow p 3))) (+ (* 0 0) (* 0 (/ 1/2 p))))) into (- (* 1/16 (/ 1 (pow p 3))))
0.332 * [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))))
0.332 * [backup-simplify]: Simplify (+ 0 (- (* 0.03125 (/ 1 (pow p 3))))) into (- (* 0.03125 (/ 1 (pow p 3))))
0.333 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (pow p 3)))) in p
0.333 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (pow p 3))) in p
0.333 * [taylor]: Taking taylor expansion of 0.03125 in p
0.333 * [backup-simplify]: Simplify 0.03125 into 0.03125
0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow p 3)) in p
0.333 * [taylor]: Taking taylor expansion of (pow p 3) in p
0.333 * [taylor]: Taking taylor expansion of p in p
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.333 * [backup-simplify]: Simplify (* 1 1) into 1
0.334 * [backup-simplify]: Simplify (* 1 1) into 1
0.334 * [backup-simplify]: Simplify (/ 1 1) into 1
0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.343 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.344 * [backup-simplify]: Simplify (- 0) into 0
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify 0.5 into 0.5
0.344 * [backup-simplify]: Simplify (+ (* 0.5 (/ (/ 1 x) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))))) 0.5) into (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5)
0.344 * [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
0.344 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in p
0.344 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
0.344 * [taylor]: Taking taylor expansion of 0.5 in p
0.345 * [backup-simplify]: Simplify 0.5 into 0.5
0.345 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in p
0.345 * [taylor]: Taking taylor expansion of x in p
0.345 * [backup-simplify]: Simplify x into x
0.345 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.345 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
0.345 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.345 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.345 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.345 * [taylor]: Taking taylor expansion of 4 in p
0.345 * [backup-simplify]: Simplify 4 into 4
0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.345 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.345 * [taylor]: Taking taylor expansion of p in p
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 1 into 1
0.345 * [backup-simplify]: Simplify (* 1 1) into 1
0.346 * [backup-simplify]: Simplify (/ 1 1) into 1
0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.346 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.346 * [taylor]: Taking taylor expansion of x in p
0.346 * [backup-simplify]: Simplify x into x
0.346 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.346 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.347 * [backup-simplify]: Simplify (* 4 1) into 4
0.347 * [backup-simplify]: Simplify (+ 4 0) into 4
0.347 * [backup-simplify]: Simplify (/ 1 4) into 1/4
0.348 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.350 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.350 * [backup-simplify]: Simplify (+ 0 0) into 0
0.351 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
0.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
0.352 * [taylor]: Taking taylor expansion of 0.5 in p
0.352 * [backup-simplify]: Simplify 0.5 into 0.5
0.352 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x
0.352 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.352 * [taylor]: Taking taylor expansion of 0.5 in x
0.352 * [backup-simplify]: Simplify 0.5 into 0.5
0.352 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.352 * [taylor]: Taking taylor expansion of x in x
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 1 into 1
0.353 * [backup-simplify]: Simplify (/ 1 1) into 1
0.353 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.353 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.353 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.353 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.353 * [taylor]: Taking taylor expansion of 4 in x
0.353 * [backup-simplify]: Simplify 4 into 4
0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.353 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.353 * [taylor]: Taking taylor expansion of p in x
0.353 * [backup-simplify]: Simplify p into p
0.353 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.353 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.353 * [taylor]: Taking taylor expansion of x in x
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify 1 into 1
0.354 * [backup-simplify]: Simplify (* 1 1) into 1
0.354 * [backup-simplify]: Simplify (/ 1 1) into 1
0.355 * [backup-simplify]: Simplify (+ 0 1) into 1
0.355 * [backup-simplify]: Simplify (/ 1 1) into 1
0.355 * [backup-simplify]: Simplify (sqrt 1) into 1
0.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.357 * [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 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))))))) 0.5) in x
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
0.360 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.360 * [taylor]: Taking taylor expansion of 4 in x
0.360 * [backup-simplify]: Simplify 4 into 4
0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.360 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.360 * [taylor]: Taking taylor expansion of p in x
0.360 * [backup-simplify]: Simplify p into p
0.360 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.360 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.360 * [taylor]: Taking taylor expansion of x in x
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify 1 into 1
0.360 * [backup-simplify]: Simplify (* 1 1) into 1
0.361 * [backup-simplify]: Simplify (/ 1 1) into 1
0.361 * [backup-simplify]: Simplify (+ 0 1) into 1
0.362 * [backup-simplify]: Simplify (/ 1 1) into 1
0.362 * [backup-simplify]: Simplify (sqrt 1) into 1
0.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.364 * [backup-simplify]: Simplify (+ 0 0) into 0
0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.366 * [taylor]: Taking taylor expansion of 0.5 in x
0.366 * [backup-simplify]: Simplify 0.5 into 0.5
0.366 * [backup-simplify]: Simplify (* 1 1) into 1
0.367 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
0.367 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0
0.367 * [taylor]: Taking taylor expansion of 1.0 in p
0.367 * [backup-simplify]: Simplify 1.0 into 1.0
0.367 * [backup-simplify]: Simplify 1.0 into 1.0
0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.369 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
0.370 * [backup-simplify]: Simplify (+ 0 0) into 0
0.370 * [taylor]: Taking taylor expansion of 0 in p
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.372 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
0.374 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.376 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
0.377 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2))))
0.377 * [backup-simplify]: Simplify (+ (- (* 1.0 (/ 1 (pow p 2)))) 0) into (- (* 1.0 (/ 1 (pow p 2))))
0.377 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow p 2)))) in p
0.377 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p
0.377 * [taylor]: Taking taylor expansion of 1.0 in p
0.377 * [backup-simplify]: Simplify 1.0 into 1.0
0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.377 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.377 * [taylor]: Taking taylor expansion of p in p
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 1 into 1
0.378 * [backup-simplify]: Simplify (* 1 1) into 1
0.378 * [backup-simplify]: Simplify (/ 1 1) into 1
0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.382 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
0.383 * [backup-simplify]: Simplify (- 0) into 0
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
0.384 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
0.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (+ 0 0) into 0
0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0
0.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0
0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0
0.390 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0
0.390 * [backup-simplify]: Simplify (+ 0 0) into 0
0.390 * [taylor]: Taking taylor expansion of 0 in p
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify 1.0 into 1.0
0.390 * [backup-simplify]: Simplify (+ (* 0.5 (/ (/ 1 (- x)) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))))) 0.5) into (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))))
0.390 * [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
0.390 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in p
0.390 * [taylor]: Taking taylor expansion of 0.5 in p
0.390 * [backup-simplify]: Simplify 0.5 into 0.5
0.390 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
0.390 * [taylor]: Taking taylor expansion of 0.5 in p
0.390 * [backup-simplify]: Simplify 0.5 into 0.5
0.390 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
0.390 * [taylor]: Taking taylor expansion of (/ 1 x) in p
0.391 * [taylor]: Taking taylor expansion of x in p
0.391 * [backup-simplify]: Simplify x into x
0.391 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.391 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
0.391 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.391 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.391 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.391 * [taylor]: Taking taylor expansion of 4 in p
0.391 * [backup-simplify]: Simplify 4 into 4
0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.391 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.391 * [taylor]: Taking taylor expansion of p in p
0.391 * [backup-simplify]: Simplify 0 into 0
0.391 * [backup-simplify]: Simplify 1 into 1
0.391 * [backup-simplify]: Simplify (* 1 1) into 1
0.391 * [backup-simplify]: Simplify (/ 1 1) into 1
0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.391 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.391 * [taylor]: Taking taylor expansion of x in p
0.391 * [backup-simplify]: Simplify x into x
0.391 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.391 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.392 * [backup-simplify]: Simplify (* 4 1) into 4
0.392 * [backup-simplify]: Simplify (+ 4 0) into 4
0.392 * [backup-simplify]: Simplify (/ 1 4) into 1/4
0.393 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
0.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.394 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.394 * [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 (* 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 (* 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)
0.399 * [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
0.400 * [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
0.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.402 * [backup-simplify]: Simplify (+ 0 0) into 0
0.402 * [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 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x
0.403 * [taylor]: Taking taylor expansion of 0.5 in x
0.403 * [backup-simplify]: Simplify 0.5 into 0.5
0.403 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.403 * [taylor]: Taking taylor expansion of 0.5 in x
0.403 * [backup-simplify]: Simplify 0.5 into 0.5
0.403 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.403 * [taylor]: Taking taylor expansion of x in x
0.403 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify 1 into 1
0.403 * [backup-simplify]: Simplify (/ 1 1) into 1
0.403 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.403 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.403 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.403 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.403 * [taylor]: Taking taylor expansion of 4 in x
0.403 * [backup-simplify]: Simplify 4 into 4
0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.403 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.403 * [taylor]: Taking taylor expansion of p in x
0.403 * [backup-simplify]: Simplify p into p
0.403 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.403 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.404 * [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
0.404 * [backup-simplify]: Simplify (* 1 1) into 1
0.404 * [backup-simplify]: Simplify (/ 1 1) into 1
0.404 * [backup-simplify]: Simplify (+ 0 1) into 1
0.405 * [backup-simplify]: Simplify (/ 1 1) into 1
0.405 * [backup-simplify]: Simplify (sqrt 1) into 1
0.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.406 * [backup-simplify]: Simplify (+ 0 0) into 0
0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.407 * [backup-simplify]: Simplify (* 1 1) into 1
0.407 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
0.408 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
0.408 * [backup-simplify]: Simplify (+ 0.5 (- 0.5)) into 0
0.408 * [taylor]: Taking taylor expansion of 0 in p
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.409 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
0.410 * [backup-simplify]: Simplify (- 0) into 0
0.410 * [backup-simplify]: Simplify (+ 0 0) into 0
0.410 * [taylor]: Taking taylor expansion of 0 in p
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.411 * [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)))
0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
0.413 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.413 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
0.414 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2))))
0.414 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow p 2))))) into (* 1.0 (/ 1 (pow p 2)))
0.414 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow p 2)))) into (* 1.0 (/ 1 (pow p 2)))
0.414 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p
0.414 * [taylor]: Taking taylor expansion of 1.0 in p
0.414 * [backup-simplify]: Simplify 1.0 into 1.0
0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.414 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.414 * [taylor]: Taking taylor expansion of p in p
0.414 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify 1 into 1
0.415 * [backup-simplify]: Simplify (* 1 1) into 1
0.415 * [backup-simplify]: Simplify (/ 1 1) into 1
0.415 * [backup-simplify]: Simplify (+ (* 1 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 1)) (* 0 (/ 0 1)))) into 0
0.417 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
0.417 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify 0 into 0
0.418 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 1 2)
0.418 * [backup-simplify]: Simplify (* (* p p) 4) into (* 4 (pow p 2))
0.418 * [approximate]: Taking taylor expansion of (* 4 (pow p 2)) in (p) around 0
0.418 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
0.418 * [taylor]: Taking taylor expansion of 4 in p
0.418 * [backup-simplify]: Simplify 4 into 4
0.418 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.418 * [taylor]: Taking taylor expansion of p in p
0.418 * [backup-simplify]: Simplify 0 into 0
0.418 * [backup-simplify]: Simplify 1 into 1
0.418 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
0.418 * [taylor]: Taking taylor expansion of 4 in p
0.418 * [backup-simplify]: Simplify 4 into 4
0.418 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.418 * [taylor]: Taking taylor expansion of p in p
0.418 * [backup-simplify]: Simplify 0 into 0
0.418 * [backup-simplify]: Simplify 1 into 1
0.418 * [backup-simplify]: Simplify (* 1 1) into 1
0.418 * [backup-simplify]: Simplify (* 4 1) into 4
0.418 * [backup-simplify]: Simplify 4 into 4
0.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.420 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.420 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.422 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
0.422 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.424 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.424 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.426 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.427 * [backup-simplify]: Simplify 0 into 0
0.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.429 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.429 * [backup-simplify]: Simplify 0 into 0
0.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
0.433 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.433 * [backup-simplify]: Simplify (* (* (/ 1 p) (/ 1 p)) 4) into (/ 4 (pow p 2))
0.433 * [approximate]: Taking taylor expansion of (/ 4 (pow p 2)) in (p) around 0
0.433 * [taylor]: Taking taylor expansion of (/ 4 (pow p 2)) in p
0.433 * [taylor]: Taking taylor expansion of 4 in p
0.433 * [backup-simplify]: Simplify 4 into 4
0.433 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.433 * [taylor]: Taking taylor expansion of p in p
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify 1 into 1
0.434 * [backup-simplify]: Simplify (* 1 1) into 1
0.434 * [backup-simplify]: Simplify (/ 4 1) into 4
0.434 * [taylor]: Taking taylor expansion of (/ 4 (pow p 2)) in p
0.434 * [taylor]: Taking taylor expansion of 4 in p
0.434 * [backup-simplify]: Simplify 4 into 4
0.434 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.434 * [taylor]: Taking taylor expansion of p in p
0.434 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify 1 into 1
0.435 * [backup-simplify]: Simplify (* 1 1) into 1
0.435 * [backup-simplify]: Simplify (/ 4 1) into 4
0.435 * [backup-simplify]: Simplify 4 into 4
0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0
0.437 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.439 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.441 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.443 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.446 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
0.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify (* 4 (pow (/ 1 (/ 1 p)) 2)) into (* 4 (pow p 2))
0.449 * [backup-simplify]: Simplify (* (* (/ 1 (- p)) (/ 1 (- p))) 4) into (/ 4 (pow p 2))
0.449 * [approximate]: Taking taylor expansion of (/ 4 (pow p 2)) in (p) around 0
0.449 * [taylor]: Taking taylor expansion of (/ 4 (pow p 2)) in p
0.449 * [taylor]: Taking taylor expansion of 4 in p
0.449 * [backup-simplify]: Simplify 4 into 4
0.449 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.449 * [taylor]: Taking taylor expansion of p in p
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 1 into 1
0.449 * [backup-simplify]: Simplify (* 1 1) into 1
0.450 * [backup-simplify]: Simplify (/ 4 1) into 4
0.450 * [taylor]: Taking taylor expansion of (/ 4 (pow p 2)) in p
0.450 * [taylor]: Taking taylor expansion of 4 in p
0.450 * [backup-simplify]: Simplify 4 into 4
0.450 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.450 * [taylor]: Taking taylor expansion of p in p
0.450 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify 1 into 1
0.450 * [backup-simplify]: Simplify (* 1 1) into 1
0.451 * [backup-simplify]: Simplify (/ 4 1) into 4
0.451 * [backup-simplify]: Simplify 4 into 4
0.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0
0.452 * [backup-simplify]: Simplify 0 into 0
0.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.454 * [backup-simplify]: Simplify 0 into 0
0.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.456 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.459 * [backup-simplify]: Simplify 0 into 0
0.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.461 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
0.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.464 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify (* 4 (pow (/ 1 (/ 1 (- p))) 2)) into (* 4 (pow p 2))
0.464 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
0.465 * [backup-simplify]: Simplify (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) into (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))
0.465 * [approximate]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in (x p) around 0
0.465 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in p
0.465 * [taylor]: Taking taylor expansion of 0.5 in p
0.465 * [backup-simplify]: Simplify 0.5 into 0.5
0.465 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p
0.465 * [taylor]: Taking taylor expansion of x in p
0.465 * [backup-simplify]: Simplify x into x
0.465 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p
0.465 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p
0.465 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
0.465 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.465 * [taylor]: Taking taylor expansion of x in p
0.465 * [backup-simplify]: Simplify x into x
0.465 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
0.465 * [taylor]: Taking taylor expansion of 4 in p
0.465 * [backup-simplify]: Simplify 4 into 4
0.465 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.465 * [taylor]: Taking taylor expansion of p in p
0.465 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify 1 into 1
0.465 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.465 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.466 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.466 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
0.466 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.466 * [backup-simplify]: Simplify (+ 0 0) into 0
0.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
0.467 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x
0.467 * [taylor]: Taking taylor expansion of 0.5 in x
0.467 * [backup-simplify]: Simplify 0.5 into 0.5
0.467 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
0.467 * [taylor]: Taking taylor expansion of x in x
0.467 * [backup-simplify]: Simplify 0 into 0
0.467 * [backup-simplify]: Simplify 1 into 1
0.467 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
0.467 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
0.467 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.467 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.467 * [taylor]: Taking taylor expansion of x in x
0.467 * [backup-simplify]: Simplify 0 into 0
0.467 * [backup-simplify]: Simplify 1 into 1
0.467 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.467 * [taylor]: Taking taylor expansion of 4 in x
0.467 * [backup-simplify]: Simplify 4 into 4
0.467 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.467 * [taylor]: Taking taylor expansion of p in x
0.467 * [backup-simplify]: Simplify p into p
0.467 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.467 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.467 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.467 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
0.467 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
0.468 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.468 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.468 * [backup-simplify]: Simplify (+ 0 0) into 0
0.469 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
0.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
0.469 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x
0.469 * [taylor]: Taking taylor expansion of 0.5 in x
0.469 * [backup-simplify]: Simplify 0.5 into 0.5
0.469 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
0.469 * [taylor]: Taking taylor expansion of x in x
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify 1 into 1
0.469 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
0.469 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
0.469 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
0.469 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.469 * [taylor]: Taking taylor expansion of x in x
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify 1 into 1
0.469 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
0.469 * [taylor]: Taking taylor expansion of 4 in x
0.469 * [backup-simplify]: Simplify 4 into 4
0.469 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.469 * [taylor]: Taking taylor expansion of p in x
0.469 * [backup-simplify]: Simplify p into p
0.469 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.469 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
0.470 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
0.470 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
0.470 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
0.470 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
0.470 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
0.471 * [backup-simplify]: Simplify (+ 0 0) into 0
0.471 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
0.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
0.471 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0
0.472 * [backup-simplify]: Simplify (* 0.5 0) into 0
0.472 * [taylor]: Taking taylor expansion of 0 in p
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p))
0.473 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p))
0.473 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 p)) in p
0.473 * [taylor]: Taking taylor expansion of 0.25 in p
0.473 * [backup-simplify]: Simplify 0.25 into 0.25
0.473 * [taylor]: Taking taylor expansion of (/ 1 p) in p
0.473 * [taylor]: Taking taylor expansion of p in p
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 1 into 1
0.473 * [backup-simplify]: Simplify (/ 1 1) into 1
0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.475 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify (* 1 1) into 1
0.476 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
0.477 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
0.477 * [backup-simplify]: Simplify (+ 1 0) into 1
0.478 * [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))))
0.478 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3))
0.479 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0
0.480 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0))) into 0
0.480 * [taylor]: Taking taylor expansion of 0 in p
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.482 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
0.482 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify (* 0.5 (/ (/ 1 x) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))))) into (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))
0.483 * [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
0.483 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
0.483 * [taylor]: Taking taylor expansion of 0.5 in p
0.483 * [backup-simplify]: Simplify 0.5 into 0.5
0.483 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
0.483 * [taylor]: Taking taylor expansion of (/ 1 x) in p
0.483 * [taylor]: Taking taylor expansion of x in p
0.483 * [backup-simplify]: Simplify x into x
0.483 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.483 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
0.483 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.483 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.483 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.483 * [taylor]: Taking taylor expansion of 4 in p
0.483 * [backup-simplify]: Simplify 4 into 4
0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.483 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.483 * [taylor]: Taking taylor expansion of p in p
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 1 into 1
0.484 * [backup-simplify]: Simplify (* 1 1) into 1
0.484 * [backup-simplify]: Simplify (/ 1 1) into 1
0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.484 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.484 * [taylor]: Taking taylor expansion of x in p
0.484 * [backup-simplify]: Simplify x into x
0.484 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.484 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.485 * [backup-simplify]: Simplify (* 4 1) into 4
0.485 * [backup-simplify]: Simplify (+ 4 0) into 4
0.486 * [backup-simplify]: Simplify (/ 1 4) into 1/4
0.486 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
0.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.488 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.489 * [backup-simplify]: Simplify (+ 0 0) into 0
0.490 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
0.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
0.490 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.490 * [taylor]: Taking taylor expansion of 0.5 in x
0.490 * [backup-simplify]: Simplify 0.5 into 0.5
0.490 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.491 * [taylor]: Taking taylor expansion of x in x
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 1 into 1
0.491 * [backup-simplify]: Simplify (/ 1 1) into 1
0.491 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.491 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.491 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.491 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.491 * [taylor]: Taking taylor expansion of 4 in x
0.491 * [backup-simplify]: Simplify 4 into 4
0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.491 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.491 * [taylor]: Taking taylor expansion of p in x
0.491 * [backup-simplify]: Simplify p into p
0.491 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.491 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.491 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.492 * [taylor]: Taking taylor expansion of x in x
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 1 into 1
0.492 * [backup-simplify]: Simplify (* 1 1) into 1
0.492 * [backup-simplify]: Simplify (/ 1 1) into 1
0.493 * [backup-simplify]: Simplify (+ 0 1) into 1
0.493 * [backup-simplify]: Simplify (/ 1 1) into 1
0.494 * [backup-simplify]: Simplify (sqrt 1) into 1
0.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (+ 0 0) into 0
0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.497 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.497 * [taylor]: Taking taylor expansion of 0.5 in x
0.497 * [backup-simplify]: Simplify 0.5 into 0.5
0.497 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.497 * [taylor]: Taking taylor expansion of x in x
0.497 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify 1 into 1
0.498 * [backup-simplify]: Simplify (/ 1 1) into 1
0.498 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.498 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.498 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.498 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.498 * [taylor]: Taking taylor expansion of 4 in x
0.498 * [backup-simplify]: Simplify 4 into 4
0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.498 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.498 * [taylor]: Taking taylor expansion of p in x
0.498 * [backup-simplify]: Simplify p into p
0.498 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.498 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.498 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.498 * [taylor]: Taking taylor expansion of x in x
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 1 into 1
0.499 * [backup-simplify]: Simplify (* 1 1) into 1
0.499 * [backup-simplify]: Simplify (/ 1 1) into 1
0.499 * [backup-simplify]: Simplify (+ 0 1) into 1
0.500 * [backup-simplify]: Simplify (/ 1 1) into 1
0.500 * [backup-simplify]: Simplify (sqrt 1) into 1
0.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.502 * [backup-simplify]: Simplify (+ 0 0) into 0
0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.504 * [backup-simplify]: Simplify (* 1 1) into 1
0.505 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
0.505 * [taylor]: Taking taylor expansion of 0.5 in p
0.505 * [backup-simplify]: Simplify 0.5 into 0.5
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.507 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
0.507 * [taylor]: Taking taylor expansion of 0 in p
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.509 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
0.511 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.513 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
0.514 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2))))
0.514 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow p 2)))) in p
0.514 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p
0.514 * [taylor]: Taking taylor expansion of 1.0 in p
0.514 * [backup-simplify]: Simplify 1.0 into 1.0
0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.514 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.514 * [taylor]: Taking taylor expansion of p in p
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 1 into 1
0.514 * [backup-simplify]: Simplify (* 1 1) into 1
0.515 * [backup-simplify]: Simplify (/ 1 1) into 1
0.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.521 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.521 * [backup-simplify]: Simplify (- 0) into 0
0.521 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify (* 0.5 (/ (/ 1 (- x)) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))))) into (* -0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))
0.522 * [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
0.522 * [taylor]: Taking taylor expansion of (* -0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
0.522 * [taylor]: Taking taylor expansion of -0.5 in p
0.522 * [backup-simplify]: Simplify -0.5 into -0.5
0.522 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
0.522 * [taylor]: Taking taylor expansion of (/ 1 x) in p
0.522 * [taylor]: Taking taylor expansion of x in p
0.522 * [backup-simplify]: Simplify x into x
0.522 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.522 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
0.522 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
0.522 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
0.522 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
0.523 * [taylor]: Taking taylor expansion of 4 in p
0.523 * [backup-simplify]: Simplify 4 into 4
0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.523 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.523 * [taylor]: Taking taylor expansion of p in p
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify 1 into 1
0.523 * [backup-simplify]: Simplify (* 1 1) into 1
0.523 * [backup-simplify]: Simplify (/ 1 1) into 1
0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
0.524 * [taylor]: Taking taylor expansion of (pow x 2) in p
0.524 * [taylor]: Taking taylor expansion of x in p
0.524 * [backup-simplify]: Simplify x into x
0.524 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.524 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.524 * [backup-simplify]: Simplify (* 4 1) into 4
0.525 * [backup-simplify]: Simplify (+ 4 0) into 4
0.525 * [backup-simplify]: Simplify (/ 1 4) into 1/4
0.526 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
0.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.528 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
0.528 * [backup-simplify]: Simplify (+ 0 0) into 0
0.533 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
0.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
0.534 * [taylor]: Taking taylor expansion of (* -0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.534 * [taylor]: Taking taylor expansion of -0.5 in x
0.534 * [backup-simplify]: Simplify -0.5 into -0.5
0.534 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.534 * [taylor]: Taking taylor expansion of x in x
0.534 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify 1 into 1
0.535 * [backup-simplify]: Simplify (/ 1 1) into 1
0.535 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.535 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.535 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.535 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.535 * [taylor]: Taking taylor expansion of 4 in x
0.535 * [backup-simplify]: Simplify 4 into 4
0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.535 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.535 * [taylor]: Taking taylor expansion of p in x
0.535 * [backup-simplify]: Simplify p into p
0.535 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.535 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.535 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.535 * [taylor]: Taking taylor expansion of x in x
0.535 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify 1 into 1
0.536 * [backup-simplify]: Simplify (* 1 1) into 1
0.536 * [backup-simplify]: Simplify (/ 1 1) into 1
0.537 * [backup-simplify]: Simplify (+ 0 1) into 1
0.537 * [backup-simplify]: Simplify (/ 1 1) into 1
0.537 * [backup-simplify]: Simplify (sqrt 1) into 1
0.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.539 * [backup-simplify]: Simplify (+ 0 0) into 0
0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.541 * [taylor]: Taking taylor expansion of (* -0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
0.541 * [taylor]: Taking taylor expansion of -0.5 in x
0.541 * [backup-simplify]: Simplify -0.5 into -0.5
0.541 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
0.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.541 * [taylor]: Taking taylor expansion of x in x
0.541 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify 1 into 1
0.541 * [backup-simplify]: Simplify (/ 1 1) into 1
0.541 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
0.541 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
0.541 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
0.541 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
0.541 * [taylor]: Taking taylor expansion of 4 in x
0.541 * [backup-simplify]: Simplify 4 into 4
0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
0.541 * [taylor]: Taking taylor expansion of (pow p 2) in x
0.542 * [taylor]: Taking taylor expansion of p in x
0.542 * [backup-simplify]: Simplify p into p
0.542 * [backup-simplify]: Simplify (* p p) into (pow p 2)
0.542 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.542 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.542 * [taylor]: Taking taylor expansion of x in x
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify 1 into 1
0.542 * [backup-simplify]: Simplify (* 1 1) into 1
0.543 * [backup-simplify]: Simplify (/ 1 1) into 1
0.543 * [backup-simplify]: Simplify (+ 0 1) into 1
0.544 * [backup-simplify]: Simplify (/ 1 1) into 1
0.544 * [backup-simplify]: Simplify (sqrt 1) into 1
0.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.546 * [backup-simplify]: Simplify (+ 0 0) into 0
0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.548 * [backup-simplify]: Simplify (* 1 1) into 1
0.548 * [backup-simplify]: Simplify (* -0.5 1) into -0.5
0.548 * [taylor]: Taking taylor expansion of -0.5 in p
0.548 * [backup-simplify]: Simplify -0.5 into -0.5
0.548 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.551 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 1)) into 0
0.551 * [taylor]: Taking taylor expansion of 0 in p
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.553 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
0.555 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.557 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
0.558 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (* 1.0 (/ 1 (pow p 2)))
0.558 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p
0.558 * [taylor]: Taking taylor expansion of 1.0 in p
0.558 * [backup-simplify]: Simplify 1.0 into 1.0
0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
0.558 * [taylor]: Taking taylor expansion of (pow p 2) in p
0.558 * [taylor]: Taking taylor expansion of p in p
0.558 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify 1 into 1
0.558 * [backup-simplify]: Simplify (* 1 1) into 1
0.559 * [backup-simplify]: Simplify (/ 1 1) into 1
0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.565 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * * * [progress]: simplifying candidates
0.565 * * * * [progress]: [ 1 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (pow (+ (* x x) (* (* p p) 4)) 1/2))) 0.5)))>
0.565 * * * * [progress]: [ 2 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (pow (sqrt (+ (* x x) (* (* p p) 4))) 1))) 0.5)))>
0.565 * * * * [progress]: [ 3 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (exp (log (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.566 * * * * [progress]: [ 4 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (log (exp (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.566 * * * * [progress]: [ 5 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4))))) (cbrt (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.566 * * * * [progress]: [ 6 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (cbrt (* (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.566 * * * * [progress]: [ 7 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4))))) (sqrt (cbrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.566 * * * * [progress]: [ 8 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.566 * * * * [progress]: [ 9 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* (sqrt 1) (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.566 * * * * [progress]: [ 10 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (/ (sqrt (+ (pow (* x x) 3) (pow (* (* p p) 4) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* (* p p) 4)))))))) 0.5)))>
0.566 * * * * [progress]: [ 11 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (/ (sqrt (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4)))) (sqrt (- (* x x) (* (* p p) 4)))))) 0.5)))>
0.566 * * * * [progress]: [ 12 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (pow (+ (* x x) (* (* p p) 4)) (/ 1 2)))) 0.5)))>
0.566 * * * * [progress]: [ 13 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.566 * * * * [progress]: [ 14 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (fabs (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.566 * * * * [progress]: [ 15 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* 1 (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.566 * * * * [progress]: [ 16 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.566 * * * * [progress]: [ 17 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (log (* (exp (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (exp 0.5)))))>
0.567 * * * * [progress]: [ 18 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (pow (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5) 1)))>
0.567 * * * * [progress]: [ 19 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (exp (log (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))))>
0.567 * * * * [progress]: [ 20 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (log (exp (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))))>
0.567 * * * * [progress]: [ 21 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (* (* (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)) (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))) (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))))>
0.567 * * * * [progress]: [ 22 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (cbrt (* (* (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5) (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)) (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))))>
0.567 * * * * [progress]: [ 23 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (* (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))))>
0.567 * * * * [progress]: [ 24 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (pow (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 3) (pow 0.5 3)) (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))))))>
0.567 * * * * [progress]: [ 25 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (* 1 (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))))>
0.567 * * * * [progress]: [ 26 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (- (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 0.5)) (- (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))))>
0.567 * * * * [progress]: [ 27 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (posit16->real (real->posit16 (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))))>
0.567 * * * * [progress]: [ 28 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))))>
0.567 * * * * [progress]: [ 29 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (pow (* (* p p) 4) 1))))) 0.5)))>
0.567 * * * * [progress]: [ 30 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (pow (* (* p p) 4) 1))))) 0.5)))>
0.567 * * * * [progress]: [ 31 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (pow (* (* p p) 4) 1))))) 0.5)))>
0.568 * * * * [progress]: [ 32 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (exp (+ (+ (log p) (log p)) (log 4))))))) 0.5)))>
0.568 * * * * [progress]: [ 33 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (exp (+ (log (* p p)) (log 4))))))) 0.5)))>
0.568 * * * * [progress]: [ 34 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (exp (log (* (* p p) 4))))))) 0.5)))>
0.568 * * * * [progress]: [ 35 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (log (exp (* (* p p) 4))))))) 0.5)))>
0.568 * * * * [progress]: [ 36 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (cbrt (* (* (* (* p p) p) (* (* p p) p)) (* (* 4 4) 4))))))) 0.5)))>
0.568 * * * * [progress]: [ 37 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (cbrt (* (* (* (* p p) (* p p)) (* p p)) (* (* 4 4) 4))))))) 0.5)))>
0.568 * * * * [progress]: [ 38 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* (cbrt (* (* p p) 4)) (cbrt (* (* p p) 4))) (cbrt (* (* p p) 4))))))) 0.5)))>
0.568 * * * * [progress]: [ 39 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (cbrt (* (* (* (* p p) 4) (* (* p p) 4)) (* (* p p) 4))))))) 0.5)))>
0.568 * * * * [progress]: [ 40 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (sqrt (* (* p p) 4)) (sqrt (* (* p p) 4))))))) 0.5)))>
0.568 * * * * [progress]: [ 41 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* 1 (* (* p p) 4)))))) 0.5)))>
0.568 * * * * [progress]: [ 42 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p (sqrt 4)) (* p (sqrt 4))))))) 0.5)))>
0.568 * * * * [progress]: [ 43 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* (* p p) (* (cbrt 4) (cbrt 4))) (cbrt 4)))))) 0.5)))>
0.568 * * * * [progress]: [ 44 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* (* p p) (sqrt 4)) (sqrt 4)))))) 0.5)))>
0.568 * * * * [progress]: [ 45 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* (* p p) 1) 4))))) 0.5)))>
0.568 * * * * [progress]: [ 46 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* p (* p 4)))))) 0.5)))>
0.569 * * * * [progress]: [ 47 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (posit16->real (real->posit16 (* (* p p) 4))))))) 0.5)))>
0.569 * * * * [progress]: [ 48 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* 4 (* p p)))))) 0.5)))>
0.569 * * * * [progress]: [ 49 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (pow (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 1) 0.5)))>
0.569 * * * * [progress]: [ 50 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (pow (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 1) 0.5)))>
0.569 * * * * [progress]: [ 51 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (exp (+ (log 0.5) (- (log x) (log (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.569 * * * * [progress]: [ 52 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (exp (+ (log 0.5) (log (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.569 * * * * [progress]: [ 53 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (exp (log (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.569 * * * * [progress]: [ 54 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (log (exp (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.569 * * * * [progress]: [ 55 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 0.5) 0.5) (/ (* (* x x) x) (* (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.569 * * * * [progress]: [ 56 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 0.5) 0.5) (* (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.569 * * * * [progress]: [ 57 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* (cbrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (cbrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) (cbrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.569 * * * * [progress]: [ 58 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.569 * * * * [progress]: [ 59 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (sqrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (sqrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.569 * * * * [progress]: [ 60 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 1 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.569 * * * * [progress]: [ 61 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* (sqrt 0.5) (sqrt (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* (sqrt 0.5) (sqrt (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.570 * * * * [progress]: [ 62 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.570 * * * * [progress]: [ 63 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.570 * * * * [progress]: [ 64 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (* (cbrt (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (cbrt (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) (cbrt (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.570 * * * * [progress]: [ 65 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (sqrt (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (sqrt (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.570 * * * * [progress]: [ 66 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4))))))) (/ (cbrt x) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.570 * * * * [progress]: [ 67 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4))))))) (/ (cbrt x) (sqrt (cbrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.570 * * * * [progress]: [ 68 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.570 * * * * [progress]: [ 69 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt 1))) (/ (cbrt x) (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))>
0.570 * * * * [progress]: [ 70 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.570 * * * * [progress]: [ 71 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (* (cbrt x) (cbrt x)) 1)) (/ (cbrt x) (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))>
0.570 * * * * [progress]: [ 72 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (sqrt x) (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4))))))) (/ (sqrt x) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.570 * * * * [progress]: [ 73 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (sqrt x) (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4))))))) (/ (sqrt x) (sqrt (cbrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.570 * * * * [progress]: [ 74 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.570 * * * * [progress]: [ 75 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (sqrt x) (sqrt 1))) (/ (sqrt x) (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))>
0.571 * * * * [progress]: [ 76 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.571 * * * * [progress]: [ 77 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (sqrt x) 1)) (/ (sqrt x) (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))>
0.571 * * * * [progress]: [ 78 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ 1 (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4))))))) (/ x (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.571 * * * * [progress]: [ 79 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ 1 (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4))))))) (/ x (sqrt (cbrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.571 * * * * [progress]: [ 80 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ 1 (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (/ x (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.571 * * * * [progress]: [ 81 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ 1 (sqrt 1))) (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))>
0.571 * * * * [progress]: [ 82 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ 1 (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (/ x (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.571 * * * * [progress]: [ 83 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ 1 1)) (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))>
0.571 * * * * [progress]: [ 84 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 1) (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))>
0.571 * * * * [progress]: [ 85 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 x) (/ 1 (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))>
0.571 * * * * [progress]: [ 86 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (pow (* x x) 3) (pow (* (* p p) 4) 3))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* (* p p) 4)))))) 0.5)))>
0.571 * * * * [progress]: [ 87 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ x (sqrt (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4)))))) (sqrt (- (* x x) (* (* p p) 4)))) 0.5)))>
0.571 * * * * [progress]: [ 88 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.571 * * * * [progress]: [ 89 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (sqrt 0.5) (* (sqrt 0.5) (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.572 * * * * [progress]: [ 90 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 1 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))>
0.572 * * * * [progress]: [ 91 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* (* p p) 4)))) 0.5)))>
0.572 * * * * [progress]: [ 92 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (posit16->real (real->posit16 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))>
0.572 * * * * [progress]: [ 93 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) 0.5) 0.5)))>
0.572 * * * * [progress]: [ 94 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* 2 p))) 0.5)))>
0.572 * * * * [progress]: [ 95 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x x)) 0.5)))>
0.572 * * * * [progress]: [ 96 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* -1 x))) 0.5)))>
0.572 * * * * [progress]: [ 97 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt 0.5))>
0.572 * * * * [progress]: [ 98 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt 1.0))>
0.572 * * * * [progress]: [ 99 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt 0))>
0.572 * * * * [progress]: [ 100 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* 4 (pow p 2)))))) 0.5)))>
0.572 * * * * [progress]: [ 101 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* 4 (pow p 2)))))) 0.5)))>
0.572 * * * * [progress]: [ 102 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* 4 (pow p 2)))))) 0.5)))>
0.572 * * * * [progress]: [ 103 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0 0.5)))>
0.572 * * * * [progress]: [ 104 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0 0.5)))>
0.572 * * * * [progress]: [ 105 / 105 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0 0.5)))>
0.574 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* (* p p) 4))))
  (exp (sqrt (+ (* x x) (* (* p p) 4))))
  (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4))))
  (* (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4)))))
  (sqrt (cbrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* p p) 4)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* p p) 4) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* (* p p) 4)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4))))
  (sqrt (- (* x x) (* (* p p) 4)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (real->posit16 (sqrt (+ (* x x) (* (* p p) 4))))
  (* (exp (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (exp 0.5))
  (log (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))
  (exp (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))
  (* (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)) (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))
  (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))
  (* (* (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5) (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)) (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))
  (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))
  (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))
  (+ (pow (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 3) (pow 0.5 3))
  (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))
  (- (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 0.5))
  (- (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)
  (real->posit16 (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5))
  (* (* p p) 4)
  (* (* p p) 4)
  (+ (+ (log p) (log p)) (log 4))
  (+ (log (* p p)) (log 4))
  (log (* (* p p) 4))
  (exp (* (* p p) 4))
  (* (* (* (* p p) p) (* (* p p) p)) (* (* 4 4) 4))
  (* (* (* (* p p) (* p p)) (* p p)) (* (* 4 4) 4))
  (* (cbrt (* (* p p) 4)) (cbrt (* (* p p) 4)))
  (cbrt (* (* p p) 4))
  (* (* (* (* p p) 4) (* (* p p) 4)) (* (* p p) 4))
  (sqrt (* (* p p) 4))
  (sqrt (* (* p p) 4))
  (* p (sqrt 4))
  (* p (sqrt 4))
  (* (* p p) (* (cbrt 4) (cbrt 4)))
  (* (* p p) (sqrt 4))
  (* (* p p) 1)
  (* p 4)
  (real->posit16 (* (* p p) 4))
  (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))
  (+ (log 0.5) (- (log x) (log (sqrt (+ (* x x) (* (* p p) 4))))))
  (+ (log 0.5) (log (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (log (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (exp (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (* (* (* 0.5 0.5) 0.5) (/ (* (* x x) x) (* (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (+ (* x x) (* (* p p) 4))))))
  (* (* (* 0.5 0.5) 0.5) (* (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (* (cbrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (cbrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))))
  (cbrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (sqrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (sqrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (* (sqrt 0.5) (sqrt (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (* (sqrt 0.5) (sqrt (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))
  (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))
  (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))
  (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))
  (* 0.5 (* (cbrt (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (cbrt (/ x (sqrt (+ (* x x) (* (* p p) 4)))))))
  (* 0.5 (sqrt (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (* 0.5 (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))))
  (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4)))))))
  (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))
  (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt 1)))
  (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))
  (* 0.5 (/ (* (cbrt x) (cbrt x)) 1))
  (* 0.5 (/ (sqrt x) (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))))
  (* 0.5 (/ (sqrt x) (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4)))))))
  (* 0.5 (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))
  (* 0.5 (/ (sqrt x) (sqrt 1)))
  (* 0.5 (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))
  (* 0.5 (/ (sqrt x) 1))
  (* 0.5 (/ 1 (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))))
  (* 0.5 (/ 1 (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4)))))))
  (* 0.5 (/ 1 (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))
  (* 0.5 (/ 1 (sqrt 1)))
  (* 0.5 (/ 1 (sqrt (sqrt (+ (* x x) (* (* p p) 4))))))
  (* 0.5 (/ 1 1))
  (* 0.5 1)
  (* 0.5 x)
  (* 0.5 (/ x (sqrt (+ (pow (* x x) 3) (pow (* (* p p) 4) 3)))))
  (* 0.5 (/ x (sqrt (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4))))))
  (* (cbrt 0.5) (/ x (sqrt (+ (* x x) (* (* p p) 4)))))
  (* (sqrt 0.5) (/ x (sqrt (+ (* x x) (* (* p p) 4)))))
  (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))
  (* 0.5 x)
  (real->posit16 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))
  (* 2 p)
  x
  (* -1 x)
  0.5
  1.0
  0
  (* 4 (pow p 2))
  (* 4 (pow p 2))
  (* 4 (pow p 2))
  0
  0
  0
0.577 * * [simplify]: iteration 1: (169 enodes)
0.679 * * [simplify]: iteration 2: (429 enodes)
0.972 * * [simplify]: iteration 3: (1162 enodes)
1.974 * * [simplify]: Extracting #0: cost 73 inf + 0
1.975 * * [simplify]: Extracting #1: cost 471 inf + 48
1.979 * * [simplify]: Extracting #2: cost 778 inf + 3718
1.984 * * [simplify]: Extracting #3: cost 786 inf + 21705
2.007 * * [simplify]: Extracting #4: cost 526 inf + 83933
2.057 * * [simplify]: Extracting #5: cost 136 inf + 217582
2.144 * * [simplify]: Extracting #6: cost 5 inf + 274173
2.258 * * [simplify]: Extracting #7: cost 0 inf + 276725
2.378 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (* (* 4 p) p))))
  (exp (sqrt (+ (* x x) (* (* 4 p) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))))
  (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (* (+ (* x x) (* (* 4 p) p)) (sqrt (+ (* x x) (* (* 4 p) p))))
  (fabs (cbrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (cbrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  1
  (sqrt (+ (* x x) (* (* 4 p) p)))
  (sqrt (+ (* (* 64 (* p p)) (* (* p p) (* p p))) (* (* (* x x) x) (* (* x x) x))))
  (sqrt (+ (* (* (* 4 p) p) (- (* (* 4 p) p) (* x x))) (* (* x x) (* x x))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* 4 p) p) (* (* 4 p) p))))
  (sqrt (- (* x x) (* (* 4 p) p)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* 4 p) p))))
  (exp (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))
  (log (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))
  (exp (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* (cbrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (cbrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))))
  (cbrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* (* (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))) (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))
  (sqrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))
  (sqrt (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))
  (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))))
  (- (* (/ (* x x) (+ (* x x) (* (* 4 p) p))) (* 0.5 0.5)) (* 0.5 0.5))
  (- (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) 0.5)
  (real->posit16 (+ 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* (* 4 p) p)
  (* (* 4 p) p)
  (log (* (* 4 p) p))
  (log (* (* 4 p) p))
  (log (* (* 4 p) p))
  (exp (* (* 4 p) p))
  (* (* 64 (* p p)) (* (* p p) (* p p)))
  (* (* 64 (* p p)) (* (* p p) (* p p)))
  (* (cbrt (* (* 4 p) p)) (cbrt (* (* 4 p) p)))
  (cbrt (* (* 4 p) p))
  (* (* 64 (* p p)) (* (* p p) (* p p)))
  (sqrt (* (* 4 p) p))
  (sqrt (* (* 4 p) p))
  (* p 2)
  (* p 2)
  (* (* (cbrt 4) p) (* (cbrt 4) p))
  (* p (* p 2))
  (* p p)
  (* 4 p)
  (real->posit16 (* (* 4 p) p))
  (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))
  (log (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))
  (log (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))
  (log (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))
  (exp (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))
  (/ (* (* (* x 0.5) (* x 0.5)) (* x 0.5)) (* (+ (* x x) (* (* 4 p) p)) (sqrt (+ (* x x) (* (* 4 p) p)))))
  (/ (* (* (* x 0.5) (* x 0.5)) (* x 0.5)) (* (+ (* x x) (* (* 4 p) p)) (sqrt (+ (* x x) (* (* 4 p) p)))))
  (* (cbrt (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))) (cbrt (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))
  (cbrt (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))
  (/ (* (* (* x 0.5) (* x 0.5)) (* x 0.5)) (* (+ (* x x) (* (* 4 p) p)) (sqrt (+ (* x x) (* (* 4 p) p)))))
  (sqrt (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))
  (sqrt (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))
  (* (sqrt 0.5) (sqrt (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* (sqrt 0.5) (sqrt (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))
  (/ (* (sqrt 0.5) (sqrt x)) (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))
  (/ (* (sqrt 0.5) (sqrt x)) (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))
  (/ (* (sqrt 0.5) (sqrt x)) (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))
  (/ (* (sqrt 0.5) (sqrt x)) (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))
  (* (cbrt (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* (cbrt (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5))
  (* (sqrt (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)
  (* (* (/ (cbrt x) (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))) (/ (cbrt x) (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)
  (* 0.5 (/ (cbrt x) (/ (fabs (cbrt (+ (* x x) (* (* 4 p) p)))) (cbrt x))))
  (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* (cbrt x) (* (cbrt x) 0.5))
  (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* (cbrt x) (* (cbrt x) 0.5))
  (/ 0.5 (/ (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (/ (sqrt x) (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))))))
  (/ (* 0.5 (sqrt x)) (fabs (cbrt (+ (* x x) (* (* 4 p) p)))))
  (* (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)
  (* 0.5 (sqrt x))
  (* (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)
  (* 0.5 (sqrt x))
  (/ 0.5 (* (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))))
  (/ 0.5 (fabs (cbrt (+ (* x x) (* (* 4 p) p)))))
  (/ 0.5 (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))
  0.5
  (/ 0.5 (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))
  0.5
  0.5
  (* x 0.5)
  (/ (* x 0.5) (sqrt (+ (* (* 64 (* p p)) (* (* p p) (* p p))) (* (* (* x x) x) (* (* x x) x)))))
  (* (/ 0.5 (sqrt (- (* (* x x) (* x x)) (* (* (* 4 p) p) (* (* 4 p) p))))) x)
  (/ (* x (cbrt 0.5)) (sqrt (+ (* x x) (* (* 4 p) p))))
  (/ (* x (sqrt 0.5)) (sqrt (+ (* x x) (* (* 4 p) p))))
  (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))
  (* x 0.5)
  (real->posit16 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))
  (* p 2)
  x
  (- x)
  0.5
  1.0
  0
  (* (* 4 p) p)
  (* (* 4 p) p)
  (* (* 4 p) p)
  0
  0
  0
2.392 * * * [progress]: adding candidates to table
2.880 * * [progress]: iteration 2 / 4
2.880 * * * [progress]: picking best candidate
2.890 * * * * [pick]: Picked  #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)))>
2.890 * * * [progress]: localizing error
2.930 * * * [progress]: generating rewritten candidates
2.930 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2)
2.936 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
2.948 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
2.975 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 1)
2.984 * * * [progress]: generating series expansions
2.984 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2)
2.984 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* 4 p) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
2.984 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
2.984 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
2.984 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
2.984 * [taylor]: Taking taylor expansion of (pow x 2) in p
2.984 * [taylor]: Taking taylor expansion of x in p
2.984 * [backup-simplify]: Simplify x into x
2.985 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
2.985 * [taylor]: Taking taylor expansion of 4 in p
2.985 * [backup-simplify]: Simplify 4 into 4
2.985 * [taylor]: Taking taylor expansion of (pow p 2) in p
2.985 * [taylor]: Taking taylor expansion of p in p
2.985 * [backup-simplify]: Simplify 0 into 0
2.985 * [backup-simplify]: Simplify 1 into 1
2.985 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.985 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.985 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.985 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.985 * [backup-simplify]: Simplify (+ 0 0) into 0
2.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.986 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
2.986 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
2.986 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.986 * [taylor]: Taking taylor expansion of x in x
2.986 * [backup-simplify]: Simplify 0 into 0
2.986 * [backup-simplify]: Simplify 1 into 1
2.986 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
2.986 * [taylor]: Taking taylor expansion of 4 in x
2.986 * [backup-simplify]: Simplify 4 into 4
2.986 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.986 * [taylor]: Taking taylor expansion of p in x
2.986 * [backup-simplify]: Simplify p into p
2.986 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.986 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
2.986 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
2.986 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
2.986 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.986 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
2.987 * [backup-simplify]: Simplify (+ 0 0) into 0
2.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
2.987 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
2.987 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
2.987 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.987 * [taylor]: Taking taylor expansion of x in x
2.987 * [backup-simplify]: Simplify 0 into 0
2.987 * [backup-simplify]: Simplify 1 into 1
2.987 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
2.987 * [taylor]: Taking taylor expansion of 4 in x
2.987 * [backup-simplify]: Simplify 4 into 4
2.987 * [taylor]: Taking taylor expansion of (pow p 2) in x
2.987 * [taylor]: Taking taylor expansion of p in x
2.987 * [backup-simplify]: Simplify p into p
2.987 * [backup-simplify]: Simplify (* p p) into (pow p 2)
2.987 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
2.987 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
2.988 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
2.988 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
2.988 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
2.989 * [backup-simplify]: Simplify (+ 0 0) into 0
2.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
2.989 * [taylor]: Taking taylor expansion of (* 2 p) in p
2.989 * [taylor]: Taking taylor expansion of 2 in p
2.989 * [backup-simplify]: Simplify 2 into 2
2.989 * [taylor]: Taking taylor expansion of p in p
2.989 * [backup-simplify]: Simplify 0 into 0
2.989 * [backup-simplify]: Simplify 1 into 1
2.989 * [backup-simplify]: Simplify (* 2 0) into 0
2.990 * [backup-simplify]: Simplify 0 into 0
2.990 * [taylor]: Taking taylor expansion of 0 in p
2.990 * [backup-simplify]: Simplify 0 into 0
2.990 * [backup-simplify]: Simplify 0 into 0
2.990 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
2.990 * [backup-simplify]: Simplify 2 into 2
2.991 * [backup-simplify]: Simplify (* 1 1) into 1
2.991 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
2.992 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
2.993 * [backup-simplify]: Simplify (+ 1 0) into 1
2.993 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
2.993 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
2.993 * [taylor]: Taking taylor expansion of 1/4 in p
2.993 * [backup-simplify]: Simplify 1/4 into 1/4
2.993 * [taylor]: Taking taylor expansion of p in p
2.994 * [backup-simplify]: Simplify 0 into 0
2.994 * [backup-simplify]: Simplify 1 into 1
2.994 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
2.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
2.995 * [backup-simplify]: Simplify 0 into 0
2.995 * [backup-simplify]: Simplify 0 into 0
2.996 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
2.996 * [backup-simplify]: Simplify 0 into 0
2.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.997 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
2.999 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
2.999 * [backup-simplify]: Simplify (+ 0 0) into 0
2.999 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
2.999 * [taylor]: Taking taylor expansion of 0 in p
2.999 * [backup-simplify]: Simplify 0 into 0
2.999 * [backup-simplify]: Simplify 0 into 0
3.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.001 * [backup-simplify]: Simplify 0 into 0
3.001 * [backup-simplify]: Simplify 0 into 0
3.001 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
3.001 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* 4 (/ 1 p)) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
3.001 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
3.001 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
3.001 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
3.001 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
3.001 * [taylor]: Taking taylor expansion of 4 in p
3.001 * [backup-simplify]: Simplify 4 into 4
3.001 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.001 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.001 * [taylor]: Taking taylor expansion of p in p
3.001 * [backup-simplify]: Simplify 0 into 0
3.001 * [backup-simplify]: Simplify 1 into 1
3.002 * [backup-simplify]: Simplify (* 1 1) into 1
3.002 * [backup-simplify]: Simplify (/ 1 1) into 1
3.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
3.002 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.002 * [taylor]: Taking taylor expansion of x in p
3.002 * [backup-simplify]: Simplify x into x
3.002 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.002 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.003 * [backup-simplify]: Simplify (* 4 1) into 4
3.003 * [backup-simplify]: Simplify (+ 4 0) into 4
3.004 * [backup-simplify]: Simplify (sqrt 4) into 2
3.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.006 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
3.006 * [backup-simplify]: Simplify (+ 0 0) into 0
3.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
3.007 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.007 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.007 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.007 * [taylor]: Taking taylor expansion of 4 in x
3.007 * [backup-simplify]: Simplify 4 into 4
3.007 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.007 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.007 * [taylor]: Taking taylor expansion of p in x
3.007 * [backup-simplify]: Simplify p into p
3.007 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.007 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.007 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.007 * [taylor]: Taking taylor expansion of x in x
3.007 * [backup-simplify]: Simplify 0 into 0
3.007 * [backup-simplify]: Simplify 1 into 1
3.008 * [backup-simplify]: Simplify (* 1 1) into 1
3.008 * [backup-simplify]: Simplify (/ 1 1) into 1
3.009 * [backup-simplify]: Simplify (+ 0 1) into 1
3.009 * [backup-simplify]: Simplify (sqrt 1) into 1
3.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.011 * [backup-simplify]: Simplify (+ 0 0) into 0
3.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.012 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.012 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.012 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.012 * [taylor]: Taking taylor expansion of 4 in x
3.012 * [backup-simplify]: Simplify 4 into 4
3.012 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.012 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.012 * [taylor]: Taking taylor expansion of p in x
3.012 * [backup-simplify]: Simplify p into p
3.012 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.012 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.012 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.012 * [taylor]: Taking taylor expansion of x in x
3.012 * [backup-simplify]: Simplify 0 into 0
3.012 * [backup-simplify]: Simplify 1 into 1
3.013 * [backup-simplify]: Simplify (* 1 1) into 1
3.013 * [backup-simplify]: Simplify (/ 1 1) into 1
3.013 * [backup-simplify]: Simplify (+ 0 1) into 1
3.014 * [backup-simplify]: Simplify (sqrt 1) into 1
3.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.016 * [backup-simplify]: Simplify (+ 0 0) into 0
3.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.016 * [taylor]: Taking taylor expansion of 1 in p
3.016 * [backup-simplify]: Simplify 1 into 1
3.016 * [taylor]: Taking taylor expansion of 0 in p
3.016 * [backup-simplify]: Simplify 0 into 0
3.016 * [backup-simplify]: Simplify 1 into 1
3.017 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
3.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.019 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
3.020 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
3.020 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
3.020 * [taylor]: Taking taylor expansion of 2 in p
3.020 * [backup-simplify]: Simplify 2 into 2
3.020 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.020 * [taylor]: Taking taylor expansion of p in p
3.020 * [backup-simplify]: Simplify 0 into 0
3.020 * [backup-simplify]: Simplify 1 into 1
3.020 * [backup-simplify]: Simplify (* 1 1) into 1
3.020 * [backup-simplify]: Simplify (/ 2 1) into 2
3.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
3.021 * [backup-simplify]: Simplify 0 into 0
3.021 * [backup-simplify]: Simplify 0 into 0
3.021 * [backup-simplify]: Simplify 0 into 0
3.021 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
3.022 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
3.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.023 * [backup-simplify]: Simplify (+ 0 0) into 0
3.023 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
3.023 * [taylor]: Taking taylor expansion of 0 in p
3.023 * [backup-simplify]: Simplify 0 into 0
3.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.025 * [backup-simplify]: Simplify 0 into 0
3.025 * [backup-simplify]: Simplify 0 into 0
3.025 * [backup-simplify]: Simplify 0 into 0
3.025 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
3.025 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4 (/ 1 (- p))) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
3.025 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
3.025 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
3.025 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
3.025 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
3.025 * [taylor]: Taking taylor expansion of 4 in p
3.025 * [backup-simplify]: Simplify 4 into 4
3.025 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.025 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.025 * [taylor]: Taking taylor expansion of p in p
3.025 * [backup-simplify]: Simplify 0 into 0
3.025 * [backup-simplify]: Simplify 1 into 1
3.025 * [backup-simplify]: Simplify (* 1 1) into 1
3.026 * [backup-simplify]: Simplify (/ 1 1) into 1
3.026 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
3.026 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.026 * [taylor]: Taking taylor expansion of x in p
3.026 * [backup-simplify]: Simplify x into x
3.026 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.026 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.026 * [backup-simplify]: Simplify (* 4 1) into 4
3.026 * [backup-simplify]: Simplify (+ 4 0) into 4
3.027 * [backup-simplify]: Simplify (sqrt 4) into 2
3.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.028 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
3.028 * [backup-simplify]: Simplify (+ 0 0) into 0
3.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
3.029 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.029 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.029 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.029 * [taylor]: Taking taylor expansion of 4 in x
3.029 * [backup-simplify]: Simplify 4 into 4
3.029 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.029 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.029 * [taylor]: Taking taylor expansion of p in x
3.029 * [backup-simplify]: Simplify p into p
3.029 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.029 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.029 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.029 * [taylor]: Taking taylor expansion of x in x
3.029 * [backup-simplify]: Simplify 0 into 0
3.029 * [backup-simplify]: Simplify 1 into 1
3.029 * [backup-simplify]: Simplify (* 1 1) into 1
3.029 * [backup-simplify]: Simplify (/ 1 1) into 1
3.030 * [backup-simplify]: Simplify (+ 0 1) into 1
3.030 * [backup-simplify]: Simplify (sqrt 1) into 1
3.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.031 * [backup-simplify]: Simplify (+ 0 0) into 0
3.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.031 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.032 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.032 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.032 * [taylor]: Taking taylor expansion of 4 in x
3.032 * [backup-simplify]: Simplify 4 into 4
3.032 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.032 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.032 * [taylor]: Taking taylor expansion of p in x
3.032 * [backup-simplify]: Simplify p into p
3.032 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.032 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.032 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.032 * [taylor]: Taking taylor expansion of x in x
3.032 * [backup-simplify]: Simplify 0 into 0
3.032 * [backup-simplify]: Simplify 1 into 1
3.032 * [backup-simplify]: Simplify (* 1 1) into 1
3.032 * [backup-simplify]: Simplify (/ 1 1) into 1
3.033 * [backup-simplify]: Simplify (+ 0 1) into 1
3.033 * [backup-simplify]: Simplify (sqrt 1) into 1
3.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.034 * [backup-simplify]: Simplify (+ 0 0) into 0
3.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.034 * [taylor]: Taking taylor expansion of 1 in p
3.034 * [backup-simplify]: Simplify 1 into 1
3.034 * [taylor]: Taking taylor expansion of 0 in p
3.034 * [backup-simplify]: Simplify 0 into 0
3.034 * [backup-simplify]: Simplify 1 into 1
3.035 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
3.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.036 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
3.037 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
3.037 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
3.037 * [taylor]: Taking taylor expansion of 2 in p
3.037 * [backup-simplify]: Simplify 2 into 2
3.037 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.037 * [taylor]: Taking taylor expansion of p in p
3.037 * [backup-simplify]: Simplify 0 into 0
3.037 * [backup-simplify]: Simplify 1 into 1
3.037 * [backup-simplify]: Simplify (* 1 1) into 1
3.037 * [backup-simplify]: Simplify (/ 2 1) into 2
3.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
3.038 * [backup-simplify]: Simplify 0 into 0
3.038 * [backup-simplify]: Simplify 0 into 0
3.038 * [backup-simplify]: Simplify 0 into 0
3.038 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
3.039 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
3.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.041 * [backup-simplify]: Simplify (+ 0 0) into 0
3.041 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
3.041 * [taylor]: Taking taylor expansion of 0 in p
3.041 * [backup-simplify]: Simplify 0 into 0
3.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.043 * [backup-simplify]: Simplify 0 into 0
3.043 * [backup-simplify]: Simplify 0 into 0
3.043 * [backup-simplify]: Simplify 0 into 0
3.043 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
3.043 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
3.044 * [backup-simplify]: Simplify (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5) into (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))))
3.044 * [approximate]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in (x p) around 0
3.044 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in p
3.044 * [taylor]: Taking taylor expansion of 0.5 in p
3.044 * [backup-simplify]: Simplify 0.5 into 0.5
3.044 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in p
3.044 * [taylor]: Taking taylor expansion of 0.5 in p
3.044 * [backup-simplify]: Simplify 0.5 into 0.5
3.044 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p
3.044 * [taylor]: Taking taylor expansion of x in p
3.044 * [backup-simplify]: Simplify x into x
3.044 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p
3.044 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p
3.044 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
3.044 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.044 * [taylor]: Taking taylor expansion of x in p
3.044 * [backup-simplify]: Simplify x into x
3.044 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
3.044 * [taylor]: Taking taylor expansion of 4 in p
3.044 * [backup-simplify]: Simplify 4 into 4
3.044 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.044 * [taylor]: Taking taylor expansion of p in p
3.044 * [backup-simplify]: Simplify 0 into 0
3.044 * [backup-simplify]: Simplify 1 into 1
3.044 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.045 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.045 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.045 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
3.045 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.045 * [backup-simplify]: Simplify (+ 0 0) into 0
3.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
3.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
3.046 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x
3.046 * [taylor]: Taking taylor expansion of 0.5 in x
3.046 * [backup-simplify]: Simplify 0.5 into 0.5
3.046 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x
3.046 * [taylor]: Taking taylor expansion of 0.5 in x
3.046 * [backup-simplify]: Simplify 0.5 into 0.5
3.046 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
3.046 * [taylor]: Taking taylor expansion of x in x
3.046 * [backup-simplify]: Simplify 0 into 0
3.046 * [backup-simplify]: Simplify 1 into 1
3.046 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
3.046 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
3.046 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
3.046 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.046 * [taylor]: Taking taylor expansion of x in x
3.046 * [backup-simplify]: Simplify 0 into 0
3.046 * [backup-simplify]: Simplify 1 into 1
3.046 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
3.046 * [taylor]: Taking taylor expansion of 4 in x
3.046 * [backup-simplify]: Simplify 4 into 4
3.046 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.046 * [taylor]: Taking taylor expansion of p in x
3.046 * [backup-simplify]: Simplify p into p
3.046 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.046 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
3.046 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
3.046 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
3.046 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
3.047 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.047 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
3.047 * [backup-simplify]: Simplify (+ 0 0) into 0
3.048 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
3.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
3.048 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x
3.048 * [taylor]: Taking taylor expansion of 0.5 in x
3.048 * [backup-simplify]: Simplify 0.5 into 0.5
3.048 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x
3.048 * [taylor]: Taking taylor expansion of 0.5 in x
3.048 * [backup-simplify]: Simplify 0.5 into 0.5
3.048 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
3.048 * [taylor]: Taking taylor expansion of x in x
3.048 * [backup-simplify]: Simplify 0 into 0
3.048 * [backup-simplify]: Simplify 1 into 1
3.048 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
3.048 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
3.048 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
3.048 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.048 * [taylor]: Taking taylor expansion of x in x
3.048 * [backup-simplify]: Simplify 0 into 0
3.048 * [backup-simplify]: Simplify 1 into 1
3.048 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
3.048 * [taylor]: Taking taylor expansion of 4 in x
3.048 * [backup-simplify]: Simplify 4 into 4
3.048 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.048 * [taylor]: Taking taylor expansion of p in x
3.048 * [backup-simplify]: Simplify p into p
3.048 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.048 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
3.049 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
3.049 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
3.049 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
3.049 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.049 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
3.050 * [backup-simplify]: Simplify (+ 0 0) into 0
3.050 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
3.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
3.050 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0
3.051 * [backup-simplify]: Simplify (* 0.5 0) into 0
3.051 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5
3.051 * [taylor]: Taking taylor expansion of 0.5 in p
3.051 * [backup-simplify]: Simplify 0.5 into 0.5
3.051 * [backup-simplify]: Simplify 0.5 into 0.5
3.052 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p))
3.052 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p))
3.052 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 p))) into (* 0.25 (/ 1 p))
3.052 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 p)) in p
3.052 * [taylor]: Taking taylor expansion of 0.25 in p
3.052 * [backup-simplify]: Simplify 0.25 into 0.25
3.052 * [taylor]: Taking taylor expansion of (/ 1 p) in p
3.052 * [taylor]: Taking taylor expansion of p in p
3.052 * [backup-simplify]: Simplify 0 into 0
3.052 * [backup-simplify]: Simplify 1 into 1
3.053 * [backup-simplify]: Simplify (/ 1 1) into 1
3.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.054 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0
3.054 * [backup-simplify]: Simplify 0 into 0
3.054 * [backup-simplify]: Simplify 0 into 0
3.054 * [backup-simplify]: Simplify (* 1 1) into 1
3.055 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
3.056 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
3.056 * [backup-simplify]: Simplify (+ 1 0) into 1
3.056 * [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))))
3.057 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3))
3.058 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0
3.058 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0))) into 0
3.059 * [backup-simplify]: Simplify (+ 0 0) into 0
3.059 * [taylor]: Taking taylor expansion of 0 in p
3.059 * [backup-simplify]: Simplify 0 into 0
3.059 * [backup-simplify]: Simplify 0 into 0
3.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.061 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
3.061 * [backup-simplify]: Simplify 0 into 0
3.061 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.062 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
3.063 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
3.064 * [backup-simplify]: Simplify (+ 0 0) into 0
3.064 * [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
3.064 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (pow p 3)))))) (* 2 (/ 1/2 p))) into 0
3.065 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -1/16 (pow p 3))) (+ (* 0 0) (* 0 (/ 1/2 p))))) into (- (* 1/16 (/ 1 (pow p 3))))
3.066 * [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))))
3.066 * [backup-simplify]: Simplify (+ 0 (- (* 0.03125 (/ 1 (pow p 3))))) into (- (* 0.03125 (/ 1 (pow p 3))))
3.066 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (pow p 3)))) in p
3.067 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (pow p 3))) in p
3.067 * [taylor]: Taking taylor expansion of 0.03125 in p
3.067 * [backup-simplify]: Simplify 0.03125 into 0.03125
3.067 * [taylor]: Taking taylor expansion of (/ 1 (pow p 3)) in p
3.067 * [taylor]: Taking taylor expansion of (pow p 3) in p
3.067 * [taylor]: Taking taylor expansion of p in p
3.067 * [backup-simplify]: Simplify 0 into 0
3.067 * [backup-simplify]: Simplify 1 into 1
3.067 * [backup-simplify]: Simplify (* 1 1) into 1
3.067 * [backup-simplify]: Simplify (* 1 1) into 1
3.068 * [backup-simplify]: Simplify (/ 1 1) into 1
3.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.077 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.078 * [backup-simplify]: Simplify (- 0) into 0
3.078 * [backup-simplify]: Simplify 0 into 0
3.078 * [backup-simplify]: Simplify 0.5 into 0.5
3.078 * [backup-simplify]: Simplify (+ (* 0.5 (/ (/ 1 x) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* 4 (/ 1 p)) (/ 1 p)))))) 0.5) into (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5)
3.078 * [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
3.078 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in p
3.078 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
3.078 * [taylor]: Taking taylor expansion of 0.5 in p
3.078 * [backup-simplify]: Simplify 0.5 into 0.5
3.078 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
3.078 * [taylor]: Taking taylor expansion of (/ 1 x) in p
3.078 * [taylor]: Taking taylor expansion of x in p
3.078 * [backup-simplify]: Simplify x into x
3.078 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.079 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
3.079 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
3.079 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
3.079 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
3.079 * [taylor]: Taking taylor expansion of 4 in p
3.079 * [backup-simplify]: Simplify 4 into 4
3.079 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.079 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.079 * [taylor]: Taking taylor expansion of p in p
3.079 * [backup-simplify]: Simplify 0 into 0
3.079 * [backup-simplify]: Simplify 1 into 1
3.079 * [backup-simplify]: Simplify (* 1 1) into 1
3.080 * [backup-simplify]: Simplify (/ 1 1) into 1
3.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
3.080 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.080 * [taylor]: Taking taylor expansion of x in p
3.080 * [backup-simplify]: Simplify x into x
3.080 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.080 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.080 * [backup-simplify]: Simplify (* 4 1) into 4
3.081 * [backup-simplify]: Simplify (+ 4 0) into 4
3.081 * [backup-simplify]: Simplify (/ 1 4) into 1/4
3.082 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
3.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.084 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
3.084 * [backup-simplify]: Simplify (+ 0 0) into 0
3.085 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
3.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
3.086 * [taylor]: Taking taylor expansion of 0.5 in p
3.086 * [backup-simplify]: Simplify 0.5 into 0.5
3.086 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x
3.086 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
3.086 * [taylor]: Taking taylor expansion of 0.5 in x
3.086 * [backup-simplify]: Simplify 0.5 into 0.5
3.086 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
3.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.086 * [taylor]: Taking taylor expansion of x in x
3.086 * [backup-simplify]: Simplify 0 into 0
3.086 * [backup-simplify]: Simplify 1 into 1
3.086 * [backup-simplify]: Simplify (/ 1 1) into 1
3.086 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
3.086 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.086 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.086 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.086 * [taylor]: Taking taylor expansion of 4 in x
3.086 * [backup-simplify]: Simplify 4 into 4
3.086 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.086 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.087 * [taylor]: Taking taylor expansion of p in x
3.087 * [backup-simplify]: Simplify p into p
3.087 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.087 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.087 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.087 * [taylor]: Taking taylor expansion of x in x
3.087 * [backup-simplify]: Simplify 0 into 0
3.087 * [backup-simplify]: Simplify 1 into 1
3.087 * [backup-simplify]: Simplify (* 1 1) into 1
3.088 * [backup-simplify]: Simplify (/ 1 1) into 1
3.088 * [backup-simplify]: Simplify (+ 0 1) into 1
3.088 * [backup-simplify]: Simplify (/ 1 1) into 1
3.092 * [backup-simplify]: Simplify (sqrt 1) into 1
3.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.094 * [backup-simplify]: Simplify (+ 0 0) into 0
3.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.095 * [taylor]: Taking taylor expansion of 0.5 in x
3.095 * [backup-simplify]: Simplify 0.5 into 0.5
3.095 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x
3.095 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
3.095 * [taylor]: Taking taylor expansion of 0.5 in x
3.095 * [backup-simplify]: Simplify 0.5 into 0.5
3.095 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
3.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.095 * [taylor]: Taking taylor expansion of x in x
3.095 * [backup-simplify]: Simplify 0 into 0
3.095 * [backup-simplify]: Simplify 1 into 1
3.095 * [backup-simplify]: Simplify (/ 1 1) into 1
3.095 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
3.095 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.095 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.095 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.095 * [taylor]: Taking taylor expansion of 4 in x
3.095 * [backup-simplify]: Simplify 4 into 4
3.095 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.095 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.095 * [taylor]: Taking taylor expansion of p in x
3.095 * [backup-simplify]: Simplify p into p
3.095 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.095 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.095 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.095 * [taylor]: Taking taylor expansion of x in x
3.095 * [backup-simplify]: Simplify 0 into 0
3.095 * [backup-simplify]: Simplify 1 into 1
3.096 * [backup-simplify]: Simplify (* 1 1) into 1
3.096 * [backup-simplify]: Simplify (/ 1 1) into 1
3.096 * [backup-simplify]: Simplify (+ 0 1) into 1
3.096 * [backup-simplify]: Simplify (/ 1 1) into 1
3.097 * [backup-simplify]: Simplify (sqrt 1) into 1
3.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.098 * [backup-simplify]: Simplify (+ 0 0) into 0
3.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.099 * [taylor]: Taking taylor expansion of 0.5 in x
3.099 * [backup-simplify]: Simplify 0.5 into 0.5
3.099 * [backup-simplify]: Simplify (* 1 1) into 1
3.100 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
3.100 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0
3.100 * [taylor]: Taking taylor expansion of 1.0 in p
3.100 * [backup-simplify]: Simplify 1.0 into 1.0
3.100 * [backup-simplify]: Simplify 1.0 into 1.0
3.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.101 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
3.101 * [backup-simplify]: Simplify (+ 0 0) into 0
3.101 * [taylor]: Taking taylor expansion of 0 in p
3.101 * [backup-simplify]: Simplify 0 into 0
3.101 * [backup-simplify]: Simplify 0 into 0
3.102 * [backup-simplify]: Simplify 0 into 0
3.102 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
3.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.103 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
3.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
3.104 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
3.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.105 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
3.106 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2))))
3.106 * [backup-simplify]: Simplify (+ (- (* 1.0 (/ 1 (pow p 2)))) 0) into (- (* 1.0 (/ 1 (pow p 2))))
3.106 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow p 2)))) in p
3.106 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p
3.106 * [taylor]: Taking taylor expansion of 1.0 in p
3.106 * [backup-simplify]: Simplify 1.0 into 1.0
3.106 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.106 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.106 * [taylor]: Taking taylor expansion of p in p
3.106 * [backup-simplify]: Simplify 0 into 0
3.106 * [backup-simplify]: Simplify 1 into 1
3.106 * [backup-simplify]: Simplify (* 1 1) into 1
3.106 * [backup-simplify]: Simplify (/ 1 1) into 1
3.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.109 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
3.109 * [backup-simplify]: Simplify (- 0) into 0
3.109 * [backup-simplify]: Simplify 0 into 0
3.109 * [backup-simplify]: Simplify 0 into 0
3.110 * [backup-simplify]: Simplify 0 into 0
3.110 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
3.110 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
3.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.112 * [backup-simplify]: Simplify (+ 0 0) into 0
3.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0
3.113 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0
3.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0
3.115 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0
3.115 * [backup-simplify]: Simplify (+ 0 0) into 0
3.115 * [taylor]: Taking taylor expansion of 0 in p
3.115 * [backup-simplify]: Simplify 0 into 0
3.115 * [backup-simplify]: Simplify 0 into 0
3.115 * [backup-simplify]: Simplify 1.0 into 1.0
3.115 * [backup-simplify]: Simplify (+ (* 0.5 (/ (/ 1 (- x)) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4 (/ 1 (- p))) (/ 1 (- p))))))) 0.5) into (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))))
3.115 * [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
3.115 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in p
3.115 * [taylor]: Taking taylor expansion of 0.5 in p
3.115 * [backup-simplify]: Simplify 0.5 into 0.5
3.115 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
3.115 * [taylor]: Taking taylor expansion of 0.5 in p
3.115 * [backup-simplify]: Simplify 0.5 into 0.5
3.115 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
3.115 * [taylor]: Taking taylor expansion of (/ 1 x) in p
3.115 * [taylor]: Taking taylor expansion of x in p
3.115 * [backup-simplify]: Simplify x into x
3.115 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.115 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
3.115 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
3.115 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
3.115 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
3.115 * [taylor]: Taking taylor expansion of 4 in p
3.115 * [backup-simplify]: Simplify 4 into 4
3.116 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.116 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.116 * [taylor]: Taking taylor expansion of p in p
3.116 * [backup-simplify]: Simplify 0 into 0
3.116 * [backup-simplify]: Simplify 1 into 1
3.116 * [backup-simplify]: Simplify (* 1 1) into 1
3.116 * [backup-simplify]: Simplify (/ 1 1) into 1
3.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
3.116 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.116 * [taylor]: Taking taylor expansion of x in p
3.116 * [backup-simplify]: Simplify x into x
3.116 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.116 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.116 * [backup-simplify]: Simplify (* 4 1) into 4
3.117 * [backup-simplify]: Simplify (+ 4 0) into 4
3.117 * [backup-simplify]: Simplify (/ 1 4) into 1/4
3.117 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
3.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.119 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
3.119 * [backup-simplify]: Simplify (+ 0 0) into 0
3.119 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
3.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
3.120 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x
3.120 * [taylor]: Taking taylor expansion of 0.5 in x
3.120 * [backup-simplify]: Simplify 0.5 into 0.5
3.120 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
3.120 * [taylor]: Taking taylor expansion of 0.5 in x
3.120 * [backup-simplify]: Simplify 0.5 into 0.5
3.120 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
3.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.120 * [taylor]: Taking taylor expansion of x in x
3.120 * [backup-simplify]: Simplify 0 into 0
3.120 * [backup-simplify]: Simplify 1 into 1
3.120 * [backup-simplify]: Simplify (/ 1 1) into 1
3.120 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
3.120 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.120 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.120 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.120 * [taylor]: Taking taylor expansion of 4 in x
3.120 * [backup-simplify]: Simplify 4 into 4
3.120 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.120 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.120 * [taylor]: Taking taylor expansion of p in x
3.120 * [backup-simplify]: Simplify p into p
3.120 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.121 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.121 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.121 * [taylor]: Taking taylor expansion of x in x
3.121 * [backup-simplify]: Simplify 0 into 0
3.121 * [backup-simplify]: Simplify 1 into 1
3.121 * [backup-simplify]: Simplify (* 1 1) into 1
3.121 * [backup-simplify]: Simplify (/ 1 1) into 1
3.121 * [backup-simplify]: Simplify (+ 0 1) into 1
3.122 * [backup-simplify]: Simplify (/ 1 1) into 1
3.122 * [backup-simplify]: Simplify (sqrt 1) into 1
3.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.123 * [backup-simplify]: Simplify (+ 0 0) into 0
3.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.124 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x
3.124 * [taylor]: Taking taylor expansion of 0.5 in x
3.124 * [backup-simplify]: Simplify 0.5 into 0.5
3.124 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
3.124 * [taylor]: Taking taylor expansion of 0.5 in x
3.124 * [backup-simplify]: Simplify 0.5 into 0.5
3.124 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
3.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.124 * [taylor]: Taking taylor expansion of x in x
3.124 * [backup-simplify]: Simplify 0 into 0
3.124 * [backup-simplify]: Simplify 1 into 1
3.124 * [backup-simplify]: Simplify (/ 1 1) into 1
3.124 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
3.124 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.124 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.124 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.124 * [taylor]: Taking taylor expansion of 4 in x
3.124 * [backup-simplify]: Simplify 4 into 4
3.124 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.124 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.124 * [taylor]: Taking taylor expansion of p in x
3.124 * [backup-simplify]: Simplify p into p
3.124 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.124 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.124 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.124 * [taylor]: Taking taylor expansion of x in x
3.124 * [backup-simplify]: Simplify 0 into 0
3.125 * [backup-simplify]: Simplify 1 into 1
3.125 * [backup-simplify]: Simplify (* 1 1) into 1
3.125 * [backup-simplify]: Simplify (/ 1 1) into 1
3.125 * [backup-simplify]: Simplify (+ 0 1) into 1
3.125 * [backup-simplify]: Simplify (/ 1 1) into 1
3.126 * [backup-simplify]: Simplify (sqrt 1) into 1
3.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.127 * [backup-simplify]: Simplify (+ 0 0) into 0
3.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.128 * [backup-simplify]: Simplify (* 1 1) into 1
3.128 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
3.128 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
3.129 * [backup-simplify]: Simplify (+ 0.5 (- 0.5)) into 0
3.129 * [taylor]: Taking taylor expansion of 0 in p
3.129 * [backup-simplify]: Simplify 0 into 0
3.129 * [backup-simplify]: Simplify 0 into 0
3.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.130 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
3.130 * [backup-simplify]: Simplify (- 0) into 0
3.131 * [backup-simplify]: Simplify (+ 0 0) into 0
3.131 * [taylor]: Taking taylor expansion of 0 in p
3.131 * [backup-simplify]: Simplify 0 into 0
3.131 * [backup-simplify]: Simplify 0 into 0
3.131 * [backup-simplify]: Simplify 0 into 0
3.131 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
3.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.133 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
3.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
3.135 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
3.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.136 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
3.137 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2))))
3.138 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow p 2))))) into (* 1.0 (/ 1 (pow p 2)))
3.138 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow p 2)))) into (* 1.0 (/ 1 (pow p 2)))
3.138 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p
3.138 * [taylor]: Taking taylor expansion of 1.0 in p
3.138 * [backup-simplify]: Simplify 1.0 into 1.0
3.138 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.138 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.138 * [taylor]: Taking taylor expansion of p in p
3.138 * [backup-simplify]: Simplify 0 into 0
3.138 * [backup-simplify]: Simplify 1 into 1
3.138 * [backup-simplify]: Simplify (* 1 1) into 1
3.139 * [backup-simplify]: Simplify (/ 1 1) into 1
3.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.143 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
3.143 * [backup-simplify]: Simplify 0 into 0
3.143 * [backup-simplify]: Simplify 0 into 0
3.143 * [backup-simplify]: Simplify 0 into 0
3.143 * [backup-simplify]: Simplify 0 into 0
3.143 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
3.144 * [backup-simplify]: Simplify (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) into (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))
3.144 * [approximate]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in (x p) around 0
3.144 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in p
3.144 * [taylor]: Taking taylor expansion of 0.5 in p
3.144 * [backup-simplify]: Simplify 0.5 into 0.5
3.144 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p
3.144 * [taylor]: Taking taylor expansion of x in p
3.144 * [backup-simplify]: Simplify x into x
3.144 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p
3.144 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p
3.144 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
3.144 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.144 * [taylor]: Taking taylor expansion of x in p
3.144 * [backup-simplify]: Simplify x into x
3.144 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
3.144 * [taylor]: Taking taylor expansion of 4 in p
3.144 * [backup-simplify]: Simplify 4 into 4
3.144 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.144 * [taylor]: Taking taylor expansion of p in p
3.145 * [backup-simplify]: Simplify 0 into 0
3.145 * [backup-simplify]: Simplify 1 into 1
3.145 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.145 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.145 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.145 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
3.145 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.145 * [backup-simplify]: Simplify (+ 0 0) into 0
3.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
3.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
3.146 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x
3.146 * [taylor]: Taking taylor expansion of 0.5 in x
3.146 * [backup-simplify]: Simplify 0.5 into 0.5
3.146 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
3.146 * [taylor]: Taking taylor expansion of x in x
3.146 * [backup-simplify]: Simplify 0 into 0
3.146 * [backup-simplify]: Simplify 1 into 1
3.146 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
3.146 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
3.146 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
3.146 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.146 * [taylor]: Taking taylor expansion of x in x
3.146 * [backup-simplify]: Simplify 0 into 0
3.146 * [backup-simplify]: Simplify 1 into 1
3.146 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
3.146 * [taylor]: Taking taylor expansion of 4 in x
3.146 * [backup-simplify]: Simplify 4 into 4
3.146 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.146 * [taylor]: Taking taylor expansion of p in x
3.146 * [backup-simplify]: Simplify p into p
3.146 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.147 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
3.147 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
3.147 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
3.147 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
3.147 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.148 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
3.148 * [backup-simplify]: Simplify (+ 0 0) into 0
3.148 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
3.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
3.148 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x
3.148 * [taylor]: Taking taylor expansion of 0.5 in x
3.149 * [backup-simplify]: Simplify 0.5 into 0.5
3.149 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
3.149 * [taylor]: Taking taylor expansion of x in x
3.149 * [backup-simplify]: Simplify 0 into 0
3.149 * [backup-simplify]: Simplify 1 into 1
3.149 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
3.149 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
3.149 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
3.149 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.149 * [taylor]: Taking taylor expansion of x in x
3.149 * [backup-simplify]: Simplify 0 into 0
3.149 * [backup-simplify]: Simplify 1 into 1
3.149 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
3.149 * [taylor]: Taking taylor expansion of 4 in x
3.149 * [backup-simplify]: Simplify 4 into 4
3.149 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.149 * [taylor]: Taking taylor expansion of p in x
3.149 * [backup-simplify]: Simplify p into p
3.149 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.149 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
3.149 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
3.149 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
3.149 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
3.150 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.150 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
3.150 * [backup-simplify]: Simplify (+ 0 0) into 0
3.151 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
3.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
3.151 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0
3.151 * [backup-simplify]: Simplify (* 0.5 0) into 0
3.151 * [taylor]: Taking taylor expansion of 0 in p
3.152 * [backup-simplify]: Simplify 0 into 0
3.152 * [backup-simplify]: Simplify 0 into 0
3.152 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p))
3.152 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p))
3.153 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 p)) in p
3.153 * [taylor]: Taking taylor expansion of 0.25 in p
3.153 * [backup-simplify]: Simplify 0.25 into 0.25
3.153 * [taylor]: Taking taylor expansion of (/ 1 p) in p
3.153 * [taylor]: Taking taylor expansion of p in p
3.153 * [backup-simplify]: Simplify 0 into 0
3.153 * [backup-simplify]: Simplify 1 into 1
3.153 * [backup-simplify]: Simplify (/ 1 1) into 1
3.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.155 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0
3.155 * [backup-simplify]: Simplify 0 into 0
3.155 * [backup-simplify]: Simplify 0 into 0
3.155 * [backup-simplify]: Simplify (* 1 1) into 1
3.156 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
3.156 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
3.157 * [backup-simplify]: Simplify (+ 1 0) into 1
3.157 * [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))))
3.158 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3))
3.159 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0
3.160 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0))) into 0
3.160 * [taylor]: Taking taylor expansion of 0 in p
3.160 * [backup-simplify]: Simplify 0 into 0
3.160 * [backup-simplify]: Simplify 0 into 0
3.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.162 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
3.162 * [backup-simplify]: Simplify 0 into 0
3.162 * [backup-simplify]: Simplify 0 into 0
3.162 * [backup-simplify]: Simplify 0 into 0
3.162 * [backup-simplify]: Simplify (* 0.5 (/ (/ 1 x) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* 4 (/ 1 p)) (/ 1 p)))))) into (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))
3.162 * [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
3.162 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
3.162 * [taylor]: Taking taylor expansion of 0.5 in p
3.162 * [backup-simplify]: Simplify 0.5 into 0.5
3.162 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
3.162 * [taylor]: Taking taylor expansion of (/ 1 x) in p
3.162 * [taylor]: Taking taylor expansion of x in p
3.162 * [backup-simplify]: Simplify x into x
3.162 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.162 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
3.163 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
3.163 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
3.163 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
3.163 * [taylor]: Taking taylor expansion of 4 in p
3.163 * [backup-simplify]: Simplify 4 into 4
3.163 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.163 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.163 * [taylor]: Taking taylor expansion of p in p
3.163 * [backup-simplify]: Simplify 0 into 0
3.163 * [backup-simplify]: Simplify 1 into 1
3.163 * [backup-simplify]: Simplify (* 1 1) into 1
3.163 * [backup-simplify]: Simplify (/ 1 1) into 1
3.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
3.163 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.163 * [taylor]: Taking taylor expansion of x in p
3.163 * [backup-simplify]: Simplify x into x
3.164 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.164 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.164 * [backup-simplify]: Simplify (* 4 1) into 4
3.164 * [backup-simplify]: Simplify (+ 4 0) into 4
3.164 * [backup-simplify]: Simplify (/ 1 4) into 1/4
3.165 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
3.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.166 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
3.166 * [backup-simplify]: Simplify (+ 0 0) into 0
3.167 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
3.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
3.167 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
3.167 * [taylor]: Taking taylor expansion of 0.5 in x
3.167 * [backup-simplify]: Simplify 0.5 into 0.5
3.167 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
3.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.167 * [taylor]: Taking taylor expansion of x in x
3.167 * [backup-simplify]: Simplify 0 into 0
3.167 * [backup-simplify]: Simplify 1 into 1
3.167 * [backup-simplify]: Simplify (/ 1 1) into 1
3.167 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
3.167 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.167 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.167 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.167 * [taylor]: Taking taylor expansion of 4 in x
3.167 * [backup-simplify]: Simplify 4 into 4
3.167 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.168 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.168 * [taylor]: Taking taylor expansion of p in x
3.168 * [backup-simplify]: Simplify p into p
3.168 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.168 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.168 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.168 * [taylor]: Taking taylor expansion of x in x
3.168 * [backup-simplify]: Simplify 0 into 0
3.168 * [backup-simplify]: Simplify 1 into 1
3.168 * [backup-simplify]: Simplify (* 1 1) into 1
3.168 * [backup-simplify]: Simplify (/ 1 1) into 1
3.169 * [backup-simplify]: Simplify (+ 0 1) into 1
3.169 * [backup-simplify]: Simplify (/ 1 1) into 1
3.169 * [backup-simplify]: Simplify (sqrt 1) into 1
3.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.170 * [backup-simplify]: Simplify (+ 0 0) into 0
3.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.171 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
3.171 * [taylor]: Taking taylor expansion of 0.5 in x
3.171 * [backup-simplify]: Simplify 0.5 into 0.5
3.171 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
3.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.171 * [taylor]: Taking taylor expansion of x in x
3.171 * [backup-simplify]: Simplify 0 into 0
3.171 * [backup-simplify]: Simplify 1 into 1
3.171 * [backup-simplify]: Simplify (/ 1 1) into 1
3.171 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
3.171 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.171 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.171 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.171 * [taylor]: Taking taylor expansion of 4 in x
3.171 * [backup-simplify]: Simplify 4 into 4
3.171 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.172 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.172 * [taylor]: Taking taylor expansion of p in x
3.172 * [backup-simplify]: Simplify p into p
3.172 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.172 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.172 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.172 * [taylor]: Taking taylor expansion of x in x
3.172 * [backup-simplify]: Simplify 0 into 0
3.172 * [backup-simplify]: Simplify 1 into 1
3.172 * [backup-simplify]: Simplify (* 1 1) into 1
3.172 * [backup-simplify]: Simplify (/ 1 1) into 1
3.172 * [backup-simplify]: Simplify (+ 0 1) into 1
3.173 * [backup-simplify]: Simplify (/ 1 1) into 1
3.173 * [backup-simplify]: Simplify (sqrt 1) into 1
3.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.174 * [backup-simplify]: Simplify (+ 0 0) into 0
3.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.175 * [backup-simplify]: Simplify (* 1 1) into 1
3.175 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
3.175 * [taylor]: Taking taylor expansion of 0.5 in p
3.175 * [backup-simplify]: Simplify 0.5 into 0.5
3.175 * [backup-simplify]: Simplify 0 into 0
3.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.177 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
3.177 * [taylor]: Taking taylor expansion of 0 in p
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
3.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.178 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
3.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
3.179 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
3.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.180 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
3.181 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2))))
3.181 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow p 2)))) in p
3.181 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p
3.181 * [taylor]: Taking taylor expansion of 1.0 in p
3.181 * [backup-simplify]: Simplify 1.0 into 1.0
3.181 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.181 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.181 * [taylor]: Taking taylor expansion of p in p
3.181 * [backup-simplify]: Simplify 0 into 0
3.181 * [backup-simplify]: Simplify 1 into 1
3.181 * [backup-simplify]: Simplify (* 1 1) into 1
3.181 * [backup-simplify]: Simplify (/ 1 1) into 1
3.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.185 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.185 * [backup-simplify]: Simplify (- 0) into 0
3.185 * [backup-simplify]: Simplify 0 into 0
3.185 * [backup-simplify]: Simplify 0 into 0
3.185 * [backup-simplify]: Simplify 0 into 0
3.185 * [backup-simplify]: Simplify 0 into 0
3.185 * [backup-simplify]: Simplify (* 0.5 (/ (/ 1 (- x)) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4 (/ 1 (- p))) (/ 1 (- p))))))) into (* -0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))
3.186 * [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
3.186 * [taylor]: Taking taylor expansion of (* -0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p
3.186 * [taylor]: Taking taylor expansion of -0.5 in p
3.186 * [backup-simplify]: Simplify -0.5 into -0.5
3.186 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
3.186 * [taylor]: Taking taylor expansion of (/ 1 x) in p
3.186 * [taylor]: Taking taylor expansion of x in p
3.186 * [backup-simplify]: Simplify x into x
3.186 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.186 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
3.186 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
3.186 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
3.186 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
3.186 * [taylor]: Taking taylor expansion of 4 in p
3.186 * [backup-simplify]: Simplify 4 into 4
3.186 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.186 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.186 * [taylor]: Taking taylor expansion of p in p
3.186 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify 1 into 1
3.186 * [backup-simplify]: Simplify (* 1 1) into 1
3.186 * [backup-simplify]: Simplify (/ 1 1) into 1
3.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
3.186 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.186 * [taylor]: Taking taylor expansion of x in p
3.186 * [backup-simplify]: Simplify x into x
3.186 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.187 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.187 * [backup-simplify]: Simplify (* 4 1) into 4
3.187 * [backup-simplify]: Simplify (+ 4 0) into 4
3.187 * [backup-simplify]: Simplify (/ 1 4) into 1/4
3.188 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
3.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.189 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
3.189 * [backup-simplify]: Simplify (+ 0 0) into 0
3.189 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
3.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
3.190 * [taylor]: Taking taylor expansion of (* -0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
3.190 * [taylor]: Taking taylor expansion of -0.5 in x
3.190 * [backup-simplify]: Simplify -0.5 into -0.5
3.190 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
3.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.190 * [taylor]: Taking taylor expansion of x in x
3.190 * [backup-simplify]: Simplify 0 into 0
3.190 * [backup-simplify]: Simplify 1 into 1
3.190 * [backup-simplify]: Simplify (/ 1 1) into 1
3.190 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
3.190 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.190 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.190 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.190 * [taylor]: Taking taylor expansion of 4 in x
3.190 * [backup-simplify]: Simplify 4 into 4
3.190 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.190 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.190 * [taylor]: Taking taylor expansion of p in x
3.190 * [backup-simplify]: Simplify p into p
3.190 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.191 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.191 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.191 * [taylor]: Taking taylor expansion of x in x
3.191 * [backup-simplify]: Simplify 0 into 0
3.191 * [backup-simplify]: Simplify 1 into 1
3.191 * [backup-simplify]: Simplify (* 1 1) into 1
3.191 * [backup-simplify]: Simplify (/ 1 1) into 1
3.192 * [backup-simplify]: Simplify (+ 0 1) into 1
3.192 * [backup-simplify]: Simplify (/ 1 1) into 1
3.192 * [backup-simplify]: Simplify (sqrt 1) into 1
3.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.198 * [backup-simplify]: Simplify (+ 0 0) into 0
3.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.200 * [taylor]: Taking taylor expansion of (* -0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x
3.200 * [taylor]: Taking taylor expansion of -0.5 in x
3.200 * [backup-simplify]: Simplify -0.5 into -0.5
3.200 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
3.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.200 * [taylor]: Taking taylor expansion of x in x
3.200 * [backup-simplify]: Simplify 0 into 0
3.200 * [backup-simplify]: Simplify 1 into 1
3.200 * [backup-simplify]: Simplify (/ 1 1) into 1
3.200 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
3.200 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
3.200 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.200 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.201 * [taylor]: Taking taylor expansion of 4 in x
3.201 * [backup-simplify]: Simplify 4 into 4
3.201 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.201 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.201 * [taylor]: Taking taylor expansion of p in x
3.201 * [backup-simplify]: Simplify p into p
3.201 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.201 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.201 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.201 * [taylor]: Taking taylor expansion of x in x
3.201 * [backup-simplify]: Simplify 0 into 0
3.201 * [backup-simplify]: Simplify 1 into 1
3.201 * [backup-simplify]: Simplify (* 1 1) into 1
3.202 * [backup-simplify]: Simplify (/ 1 1) into 1
3.202 * [backup-simplify]: Simplify (+ 0 1) into 1
3.203 * [backup-simplify]: Simplify (/ 1 1) into 1
3.203 * [backup-simplify]: Simplify (sqrt 1) into 1
3.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.205 * [backup-simplify]: Simplify (+ 0 0) into 0
3.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.206 * [backup-simplify]: Simplify (* 1 1) into 1
3.207 * [backup-simplify]: Simplify (* -0.5 1) into -0.5
3.207 * [taylor]: Taking taylor expansion of -0.5 in p
3.207 * [backup-simplify]: Simplify -0.5 into -0.5
3.207 * [backup-simplify]: Simplify 0 into 0
3.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.209 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 1)) into 0
3.209 * [taylor]: Taking taylor expansion of 0 in p
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
3.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.211 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
3.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
3.213 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
3.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.215 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2))))
3.216 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (* 1.0 (/ 1 (pow p 2)))
3.216 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p
3.216 * [taylor]: Taking taylor expansion of 1.0 in p
3.216 * [backup-simplify]: Simplify 1.0 into 1.0
3.216 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.216 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.216 * [taylor]: Taking taylor expansion of p in p
3.216 * [backup-simplify]: Simplify 0 into 0
3.216 * [backup-simplify]: Simplify 1 into 1
3.217 * [backup-simplify]: Simplify (* 1 1) into 1
3.217 * [backup-simplify]: Simplify (/ 1 1) into 1
3.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.225 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 1)
3.225 * [backup-simplify]: Simplify (+ (* x x) (* (* 4 p) p)) into (+ (pow x 2) (* 4 (pow p 2)))
3.225 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in (x p) around 0
3.225 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
3.225 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.225 * [taylor]: Taking taylor expansion of x in p
3.225 * [backup-simplify]: Simplify x into x
3.225 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
3.225 * [taylor]: Taking taylor expansion of 4 in p
3.225 * [backup-simplify]: Simplify 4 into 4
3.225 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.225 * [taylor]: Taking taylor expansion of p in p
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify 1 into 1
3.225 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
3.226 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.226 * [taylor]: Taking taylor expansion of x in x
3.226 * [backup-simplify]: Simplify 0 into 0
3.226 * [backup-simplify]: Simplify 1 into 1
3.226 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
3.226 * [taylor]: Taking taylor expansion of 4 in x
3.226 * [backup-simplify]: Simplify 4 into 4
3.226 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.226 * [taylor]: Taking taylor expansion of p in x
3.226 * [backup-simplify]: Simplify p into p
3.226 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
3.226 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.226 * [taylor]: Taking taylor expansion of x in x
3.226 * [backup-simplify]: Simplify 0 into 0
3.226 * [backup-simplify]: Simplify 1 into 1
3.226 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
3.226 * [taylor]: Taking taylor expansion of 4 in x
3.226 * [backup-simplify]: Simplify 4 into 4
3.226 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.226 * [taylor]: Taking taylor expansion of p in x
3.226 * [backup-simplify]: Simplify p into p
3.226 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.226 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
3.226 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
3.226 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
3.226 * [taylor]: Taking taylor expansion of 4 in p
3.226 * [backup-simplify]: Simplify 4 into 4
3.227 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.227 * [taylor]: Taking taylor expansion of p in p
3.227 * [backup-simplify]: Simplify 0 into 0
3.227 * [backup-simplify]: Simplify 1 into 1
3.227 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.227 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
3.228 * [backup-simplify]: Simplify (+ 0 0) into 0
3.228 * [taylor]: Taking taylor expansion of 0 in p
3.228 * [backup-simplify]: Simplify 0 into 0
3.228 * [backup-simplify]: Simplify 0 into 0
3.228 * [backup-simplify]: Simplify (* 1 1) into 1
3.229 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
3.230 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
3.230 * [backup-simplify]: Simplify (+ 1 0) into 1
3.230 * [taylor]: Taking taylor expansion of 1 in p
3.230 * [backup-simplify]: Simplify 1 into 1
3.230 * [backup-simplify]: Simplify 1 into 1
3.230 * [backup-simplify]: Simplify 0 into 0
3.231 * [backup-simplify]: Simplify (* 1 1) into 1
3.231 * [backup-simplify]: Simplify (* 4 1) into 4
3.231 * [backup-simplify]: Simplify 4 into 4
3.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.232 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
3.233 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
3.233 * [backup-simplify]: Simplify (+ 0 0) into 0
3.233 * [taylor]: Taking taylor expansion of 0 in p
3.233 * [backup-simplify]: Simplify 0 into 0
3.233 * [backup-simplify]: Simplify 0 into 0
3.233 * [backup-simplify]: Simplify 0 into 0
3.233 * [backup-simplify]: Simplify 0 into 0
3.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.234 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
3.234 * [backup-simplify]: Simplify 0 into 0
3.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.235 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 p))))) into 0
3.236 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2)))))) into 0
3.236 * [backup-simplify]: Simplify (+ 0 0) into 0
3.237 * [taylor]: Taking taylor expansion of 0 in p
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify (+ (* 4 (pow (* p 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 4 (pow p 2)))
3.237 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* 4 (/ 1 p)) (/ 1 p))) into (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))
3.237 * [approximate]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in (x p) around 0
3.237 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
3.237 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
3.237 * [taylor]: Taking taylor expansion of 4 in p
3.237 * [backup-simplify]: Simplify 4 into 4
3.237 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.237 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.237 * [taylor]: Taking taylor expansion of p in p
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify 1 into 1
3.237 * [backup-simplify]: Simplify (* 1 1) into 1
3.238 * [backup-simplify]: Simplify (/ 1 1) into 1
3.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
3.238 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.238 * [taylor]: Taking taylor expansion of x in p
3.238 * [backup-simplify]: Simplify x into x
3.238 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.238 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.238 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.238 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.238 * [taylor]: Taking taylor expansion of 4 in x
3.238 * [backup-simplify]: Simplify 4 into 4
3.238 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.238 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.238 * [taylor]: Taking taylor expansion of p in x
3.238 * [backup-simplify]: Simplify p into p
3.238 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.238 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.238 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.238 * [taylor]: Taking taylor expansion of x in x
3.238 * [backup-simplify]: Simplify 0 into 0
3.238 * [backup-simplify]: Simplify 1 into 1
3.238 * [backup-simplify]: Simplify (* 1 1) into 1
3.239 * [backup-simplify]: Simplify (/ 1 1) into 1
3.239 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.239 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.239 * [taylor]: Taking taylor expansion of 4 in x
3.239 * [backup-simplify]: Simplify 4 into 4
3.239 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.239 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.239 * [taylor]: Taking taylor expansion of p in x
3.239 * [backup-simplify]: Simplify p into p
3.239 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.239 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.239 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.239 * [taylor]: Taking taylor expansion of x in x
3.239 * [backup-simplify]: Simplify 0 into 0
3.239 * [backup-simplify]: Simplify 1 into 1
3.239 * [backup-simplify]: Simplify (* 1 1) into 1
3.239 * [backup-simplify]: Simplify (/ 1 1) into 1
3.240 * [backup-simplify]: Simplify (+ 0 1) into 1
3.240 * [taylor]: Taking taylor expansion of 1 in p
3.240 * [backup-simplify]: Simplify 1 into 1
3.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.241 * [backup-simplify]: Simplify (+ 0 0) into 0
3.241 * [taylor]: Taking taylor expansion of 0 in p
3.241 * [backup-simplify]: Simplify 0 into 0
3.241 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
3.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.242 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
3.242 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
3.242 * [taylor]: Taking taylor expansion of 4 in p
3.242 * [backup-simplify]: Simplify 4 into 4
3.242 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.242 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.242 * [taylor]: Taking taylor expansion of p in p
3.242 * [backup-simplify]: Simplify 0 into 0
3.242 * [backup-simplify]: Simplify 1 into 1
3.243 * [backup-simplify]: Simplify (* 1 1) into 1
3.243 * [backup-simplify]: Simplify (/ 1 1) into 1
3.243 * [backup-simplify]: Simplify (* 4 1) into 4
3.243 * [backup-simplify]: Simplify 4 into 4
3.243 * [backup-simplify]: Simplify 1 into 1
3.244 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
3.244 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
3.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.246 * [backup-simplify]: Simplify (+ 0 0) into 0
3.246 * [taylor]: Taking taylor expansion of 0 in p
3.246 * [backup-simplify]: Simplify 0 into 0
3.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.247 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
3.247 * [backup-simplify]: Simplify 0 into 0
3.247 * [backup-simplify]: Simplify 0 into 0
3.247 * [backup-simplify]: Simplify 0 into 0
3.247 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
3.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))) (* 0 (/ 0 (pow p 2))))) into 0
3.248 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 (pow p 2))))) into 0
3.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.249 * [backup-simplify]: Simplify (+ 0 0) into 0
3.249 * [taylor]: Taking taylor expansion of 0 in p
3.249 * [backup-simplify]: Simplify 0 into 0
3.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.251 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
3.251 * [backup-simplify]: Simplify 0 into 0
3.251 * [backup-simplify]: Simplify 0 into 0
3.251 * [backup-simplify]: Simplify 0 into 0
3.251 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4 (pow (* (/ 1 (/ 1 p)) 1) 2))) into (+ (pow x 2) (* 4 (pow p 2)))
3.252 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4 (/ 1 (- p))) (/ 1 (- p)))) into (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))
3.252 * [approximate]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in (x p) around 0
3.252 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
3.252 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
3.252 * [taylor]: Taking taylor expansion of 4 in p
3.252 * [backup-simplify]: Simplify 4 into 4
3.252 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.252 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.252 * [taylor]: Taking taylor expansion of p in p
3.252 * [backup-simplify]: Simplify 0 into 0
3.252 * [backup-simplify]: Simplify 1 into 1
3.252 * [backup-simplify]: Simplify (* 1 1) into 1
3.252 * [backup-simplify]: Simplify (/ 1 1) into 1
3.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
3.252 * [taylor]: Taking taylor expansion of (pow x 2) in p
3.252 * [taylor]: Taking taylor expansion of x in p
3.252 * [backup-simplify]: Simplify x into x
3.252 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.252 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.252 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.252 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.252 * [taylor]: Taking taylor expansion of 4 in x
3.252 * [backup-simplify]: Simplify 4 into 4
3.252 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.252 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.253 * [taylor]: Taking taylor expansion of p in x
3.253 * [backup-simplify]: Simplify p into p
3.253 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.253 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.253 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.253 * [taylor]: Taking taylor expansion of x in x
3.253 * [backup-simplify]: Simplify 0 into 0
3.253 * [backup-simplify]: Simplify 1 into 1
3.253 * [backup-simplify]: Simplify (* 1 1) into 1
3.253 * [backup-simplify]: Simplify (/ 1 1) into 1
3.253 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
3.253 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
3.253 * [taylor]: Taking taylor expansion of 4 in x
3.253 * [backup-simplify]: Simplify 4 into 4
3.253 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
3.253 * [taylor]: Taking taylor expansion of (pow p 2) in x
3.253 * [taylor]: Taking taylor expansion of p in x
3.253 * [backup-simplify]: Simplify p into p
3.253 * [backup-simplify]: Simplify (* p p) into (pow p 2)
3.253 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
3.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.253 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.253 * [taylor]: Taking taylor expansion of x in x
3.253 * [backup-simplify]: Simplify 0 into 0
3.253 * [backup-simplify]: Simplify 1 into 1
3.254 * [backup-simplify]: Simplify (* 1 1) into 1
3.254 * [backup-simplify]: Simplify (/ 1 1) into 1
3.254 * [backup-simplify]: Simplify (+ 0 1) into 1
3.254 * [taylor]: Taking taylor expansion of 1 in p
3.254 * [backup-simplify]: Simplify 1 into 1
3.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.255 * [backup-simplify]: Simplify (+ 0 0) into 0
3.255 * [taylor]: Taking taylor expansion of 0 in p
3.255 * [backup-simplify]: Simplify 0 into 0
3.255 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
3.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.257 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
3.257 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
3.257 * [taylor]: Taking taylor expansion of 4 in p
3.257 * [backup-simplify]: Simplify 4 into 4
3.257 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
3.257 * [taylor]: Taking taylor expansion of (pow p 2) in p
3.257 * [taylor]: Taking taylor expansion of p in p
3.257 * [backup-simplify]: Simplify 0 into 0
3.257 * [backup-simplify]: Simplify 1 into 1
3.257 * [backup-simplify]: Simplify (* 1 1) into 1
3.257 * [backup-simplify]: Simplify (/ 1 1) into 1
3.257 * [backup-simplify]: Simplify (* 4 1) into 4
3.257 * [backup-simplify]: Simplify 4 into 4
3.258 * [backup-simplify]: Simplify 1 into 1
3.258 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
3.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
3.258 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
3.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.259 * [backup-simplify]: Simplify (+ 0 0) into 0
3.259 * [taylor]: Taking taylor expansion of 0 in p
3.259 * [backup-simplify]: Simplify 0 into 0
3.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.261 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
3.261 * [backup-simplify]: Simplify 0 into 0
3.261 * [backup-simplify]: Simplify 0 into 0
3.261 * [backup-simplify]: Simplify 0 into 0
3.261 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
3.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))) (* 0 (/ 0 (pow p 2))))) into 0
3.262 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 (pow p 2))))) into 0
3.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.263 * [backup-simplify]: Simplify (+ 0 0) into 0
3.263 * [taylor]: Taking taylor expansion of 0 in p
3.263 * [backup-simplify]: Simplify 0 into 0
3.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.265 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
3.265 * [backup-simplify]: Simplify 0 into 0
3.265 * [backup-simplify]: Simplify 0 into 0
3.265 * [backup-simplify]: Simplify 0 into 0
3.265 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4 (pow (* (/ 1 (/ 1 (- p))) 1) 2))) into (+ (pow x 2) (* 4 (pow p 2)))
3.265 * * * [progress]: simplifying candidates
3.265 * * * * [progress]: [ 1 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (pow (+ (* x x) (* (* 4 p) p)) 1/2))) 0.5)))>
3.265 * * * * [progress]: [ 2 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (pow (sqrt (+ (* x x) (* (* 4 p) p))) 1))) 0.5)))>
3.266 * * * * [progress]: [ 3 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (exp (log (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.266 * * * * [progress]: [ 4 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (log (exp (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.266 * * * * [progress]: [ 5 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* (* (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.266 * * * * [progress]: [ 6 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (cbrt (* (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.266 * * * * [progress]: [ 7 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* (sqrt (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p))))) (sqrt (cbrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.266 * * * * [progress]: [ 8 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.266 * * * * [progress]: [ 9 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* (sqrt 1) (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
3.266 * * * * [progress]: [ 10 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (/ (sqrt (+ (pow (* x x) 3) (pow (* (* 4 p) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* 4 p) p) (* (* 4 p) p)) (* (* x x) (* (* 4 p) p)))))))) 0.5)))>
3.266 * * * * [progress]: [ 11 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (/ (sqrt (- (* (* x x) (* x x)) (* (* (* 4 p) p) (* (* 4 p) p)))) (sqrt (- (* x x) (* (* 4 p) p)))))) 0.5)))>
3.266 * * * * [progress]: [ 12 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (pow (+ (* x x) (* (* 4 p) p)) (/ 1 2)))) 0.5)))>
3.266 * * * * [progress]: [ 13 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.266 * * * * [progress]: [ 14 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (fabs (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
3.266 * * * * [progress]: [ 15 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* 1 (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
3.266 * * * * [progress]: [ 16 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.266 * * * * [progress]: [ 17 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (log (* (exp (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (exp 0.5)))))>
3.266 * * * * [progress]: [ 18 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (pow (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5) 1)))>
3.266 * * * * [progress]: [ 19 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (exp (log (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)))))>
3.266 * * * * [progress]: [ 20 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (log (exp (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)))))>
3.266 * * * * [progress]: [ 21 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (* (* (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)) (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5))) (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)))))>
3.266 * * * * [progress]: [ 22 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (cbrt (* (* (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5) (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)) (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)))))>
3.266 * * * * [progress]: [ 23 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (* (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)))))>
3.266 * * * * [progress]: [ 24 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (+ (pow (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 3) (pow 0.5 3)) (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5))))))>
3.266 * * * * [progress]: [ 25 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (* 1 (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5))))>
3.266 * * * * [progress]: [ 26 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (- (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 0.5)) (- (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5))))>
3.267 * * * * [progress]: [ 27 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (posit16->real (real->posit16 (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)))))>
3.267 * * * * [progress]: [ 28 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))))>
3.267 * * * * [progress]: [ 29 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (pow (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 1) 0.5)))>
3.267 * * * * [progress]: [ 30 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (pow (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 1) 0.5)))>
3.267 * * * * [progress]: [ 31 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (exp (+ (log 0.5) (- (log x) (log (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.267 * * * * [progress]: [ 32 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (exp (+ (log 0.5) (log (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.267 * * * * [progress]: [ 33 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (exp (log (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.267 * * * * [progress]: [ 34 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (log (exp (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.267 * * * * [progress]: [ 35 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 0.5) 0.5) (/ (* (* x x) x) (* (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.267 * * * * [progress]: [ 36 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 0.5) 0.5) (* (* (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.267 * * * * [progress]: [ 37 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* (cbrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (cbrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) (cbrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.267 * * * * [progress]: [ 38 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.267 * * * * [progress]: [ 39 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (sqrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (sqrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.267 * * * * [progress]: [ 40 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 1 (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
3.267 * * * * [progress]: [ 41 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* (sqrt 0.5) (sqrt (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* (sqrt 0.5) (sqrt (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.267 * * * * [progress]: [ 42 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))) (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.267 * * * * [progress]: [ 43 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))) (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.267 * * * * [progress]: [ 44 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (* (cbrt (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (cbrt (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) (cbrt (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
3.267 * * * * [progress]: [ 45 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (sqrt (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (sqrt (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
3.267 * * * * [progress]: [ 46 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))))) (/ (cbrt x) (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
3.267 * * * * [progress]: [ 47 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p))))))) (/ (cbrt x) (sqrt (cbrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
3.267 * * * * [progress]: [ 48 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
3.268 * * * * [progress]: [ 49 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt 1))) (/ (cbrt x) (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)))>
3.268 * * * * [progress]: [ 50 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
3.268 * * * * [progress]: [ 51 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (* (cbrt x) (cbrt x)) 1)) (/ (cbrt x) (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)))>
3.268 * * * * [progress]: [ 52 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (sqrt x) (* (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))))) (/ (sqrt x) (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
3.268 * * * * [progress]: [ 53 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (sqrt x) (sqrt (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p))))))) (/ (sqrt x) (sqrt (cbrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
3.268 * * * * [progress]: [ 54 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
3.268 * * * * [progress]: [ 55 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (sqrt x) (sqrt 1))) (/ (sqrt x) (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)))>
3.268 * * * * [progress]: [ 56 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
3.268 * * * * [progress]: [ 57 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ (sqrt x) 1)) (/ (sqrt x) (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)))>
3.268 * * * * [progress]: [ 58 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ 1 (* (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))))) (/ x (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
3.268 * * * * [progress]: [ 59 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ 1 (sqrt (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p))))))) (/ x (sqrt (cbrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
3.268 * * * * [progress]: [ 60 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ 1 (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))) (/ x (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
3.268 * * * * [progress]: [ 61 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ 1 (sqrt 1))) (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)))>
3.268 * * * * [progress]: [ 62 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ 1 (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))) (/ x (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
3.268 * * * * [progress]: [ 63 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ 1 1)) (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)))>
3.268 * * * * [progress]: [ 64 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 1) (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)))>
3.268 * * * * [progress]: [ 65 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 x) (/ 1 (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)))>
3.268 * * * * [progress]: [ 66 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ x (sqrt (+ (pow (* x x) 3) (pow (* (* 4 p) p) 3))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* 4 p) p) (* (* 4 p) p)) (* (* x x) (* (* 4 p) p)))))) 0.5)))>
3.268 * * * * [progress]: [ 67 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* 0.5 (/ x (sqrt (- (* (* x x) (* x x)) (* (* (* 4 p) p) (* (* 4 p) p)))))) (sqrt (- (* x x) (* (* 4 p) p)))) 0.5)))>
3.268 * * * * [progress]: [ 68 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
3.268 * * * * [progress]: [ 69 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (sqrt 0.5) (* (sqrt 0.5) (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
3.268 * * * * [progress]: [ 70 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 1 (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
3.268 * * * * [progress]: [ 71 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (* 0.5 x) (sqrt (+ (* x x) (* (* 4 p) p)))) 0.5)))>
3.269 * * * * [progress]: [ 72 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (posit16->real (real->posit16 (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.269 * * * * [progress]: [ 73 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) 0.5) 0.5)))>
3.269 * * * * [progress]: [ 74 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (log (* (exp (* x x)) (exp (* (* 4 p) p))))))) 0.5)))>
3.269 * * * * [progress]: [ 75 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (pow (+ (* x x) (* (* 4 p) p)) 1)))) 0.5)))>
3.269 * * * * [progress]: [ 76 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (exp (log (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.269 * * * * [progress]: [ 77 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (log (exp (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.269 * * * * [progress]: [ 78 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (* (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p)))) (cbrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.269 * * * * [progress]: [ 79 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (cbrt (* (* (+ (* x x) (* (* 4 p) p)) (+ (* x x) (* (* 4 p) p))) (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.269 * * * * [progress]: [ 80 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.269 * * * * [progress]: [ 81 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (/ (+ (pow (* x x) 3) (pow (* (* 4 p) p) 3)) (+ (* (* x x) (* x x)) (- (* (* (* 4 p) p) (* (* 4 p) p)) (* (* x x) (* (* 4 p) p)))))))) 0.5)))>
3.269 * * * * [progress]: [ 82 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (* 1 (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
3.269 * * * * [progress]: [ 83 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (/ (- (* (* x x) (* x x)) (* (* (* 4 p) p) (* (* 4 p) p))) (- (* x x) (* (* 4 p) p)))))) 0.5)))>
3.269 * * * * [progress]: [ 84 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (posit16->real (real->posit16 (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
3.269 * * * * [progress]: [ 85 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) 0.5)))>
3.269 * * * * [progress]: [ 86 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* 2 p))) 0.5)))>
3.269 * * * * [progress]: [ 87 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x x)) 0.5)))>
3.269 * * * * [progress]: [ 88 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (* -1 x))) 0.5)))>
3.269 * * * * [progress]: [ 89 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt 0.5))>
3.269 * * * * [progress]: [ 90 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt 1.0))>
3.269 * * * * [progress]: [ 91 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt 0))>
3.269 * * * * [progress]: [ 92 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0 0.5)))>
3.269 * * * * [progress]: [ 93 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0 0.5)))>
3.269 * * * * [progress]: [ 94 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0 0.5)))>
3.269 * * * * [progress]: [ 95 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (pow x 2) (* 4 (pow p 2)))))) 0.5)))>
3.269 * * * * [progress]: [ 96 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (pow x 2) (* 4 (pow p 2)))))) 0.5)))>
3.269 * * * * [progress]: [ 97 / 97 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (pow x 2) (* 4 (pow p 2)))))) 0.5)))>
3.270 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* (* 4 p) p))))
  (exp (sqrt (+ (* x x) (* (* 4 p) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))))
  (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (* (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p)))))
  (sqrt (cbrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* 4 p) p)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* 4 p) p) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* 4 p) p) (* (* 4 p) p)) (* (* x x) (* (* 4 p) p)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* 4 p) p) (* (* 4 p) p))))
  (sqrt (- (* x x) (* (* 4 p) p)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* 4 p) p))))
  (* (exp (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (exp 0.5))
  (log (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5))
  (exp (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5))
  (* (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)) (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)))
  (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5))
  (* (* (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5) (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)) (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5))
  (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5))
  (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5))
  (+ (pow (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 3) (pow 0.5 3))
  (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)))
  (- (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 0.5))
  (- (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)
  (real->posit16 (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5))
  (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))
  (+ (log 0.5) (- (log x) (log (sqrt (+ (* x x) (* (* 4 p) p))))))
  (+ (log 0.5) (log (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))
  (log (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))
  (exp (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* (* (* 0.5 0.5) 0.5) (/ (* (* x x) x) (* (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* (* (* 0.5 0.5) 0.5) (* (* (/ x (sqrt (+ (* x x) (* (* 4 p) p)))) (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* (cbrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (cbrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))))
  (cbrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))
  (sqrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))
  (sqrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* (sqrt 0.5) (sqrt (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* (sqrt 0.5) (sqrt (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* 0.5 (* (cbrt (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (cbrt (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))))
  (* 0.5 (sqrt (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* 0.5 (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))))))
  (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p)))))))
  (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt 1)))
  (* 0.5 (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* 0.5 (/ (* (cbrt x) (cbrt x)) 1))
  (* 0.5 (/ (sqrt x) (* (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))))))
  (* 0.5 (/ (sqrt x) (sqrt (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p)))))))
  (* 0.5 (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* 0.5 (/ (sqrt x) (sqrt 1)))
  (* 0.5 (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* 0.5 (/ (sqrt x) 1))
  (* 0.5 (/ 1 (* (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))))))
  (* 0.5 (/ 1 (sqrt (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p)))))))
  (* 0.5 (/ 1 (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* 0.5 (/ 1 (sqrt 1)))
  (* 0.5 (/ 1 (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* 0.5 (/ 1 1))
  (* 0.5 1)
  (* 0.5 x)
  (* 0.5 (/ x (sqrt (+ (pow (* x x) 3) (pow (* (* 4 p) p) 3)))))
  (* 0.5 (/ x (sqrt (- (* (* x x) (* x x)) (* (* (* 4 p) p) (* (* 4 p) p))))))
  (* (cbrt 0.5) (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))
  (* (sqrt 0.5) (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))
  (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))
  (* 0.5 x)
  (real->posit16 (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))
  (* (exp (* x x)) (exp (* (* 4 p) p)))
  (log (+ (* x x) (* (* 4 p) p)))
  (exp (+ (* x x) (* (* 4 p) p)))
  (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p))))
  (cbrt (+ (* x x) (* (* 4 p) p)))
  (* (* (+ (* x x) (* (* 4 p) p)) (+ (* x x) (* (* 4 p) p))) (+ (* x x) (* (* 4 p) p)))
  (sqrt (+ (* x x) (* (* 4 p) p)))
  (sqrt (+ (* x x) (* (* 4 p) p)))
  (+ (pow (* x x) 3) (pow (* (* 4 p) p) 3))
  (+ (* (* x x) (* x x)) (- (* (* (* 4 p) p) (* (* 4 p) p)) (* (* x x) (* (* 4 p) p))))
  (- (* (* x x) (* x x)) (* (* (* 4 p) p) (* (* 4 p) p)))
  (- (* x x) (* (* 4 p) p))
  (real->posit16 (+ (* x x) (* (* 4 p) p)))
  (* 2 p)
  x
  (* -1 x)
  0.5
  1.0
  0
  0
  0
  0
  (+ (pow x 2) (* 4 (pow p 2)))
  (+ (pow x 2) (* 4 (pow p 2)))
  (+ (pow x 2) (* 4 (pow p 2)))
3.272 * * [simplify]: iteration 1: (150 enodes)
3.323 * * [simplify]: iteration 2: (393 enodes)
3.534 * * [simplify]: iteration 3: (1247 enodes)
4.830 * * [simplify]: Extracting #0: cost 72 inf + 0
4.832 * * [simplify]: Extracting #1: cost 470 inf + 6
4.839 * * [simplify]: Extracting #2: cost 1117 inf + 3358
4.862 * * [simplify]: Extracting #3: cost 1045 inf + 31221
4.904 * * [simplify]: Extracting #4: cost 589 inf + 144411
4.981 * * [simplify]: Extracting #5: cost 145 inf + 297417
5.099 * * [simplify]: Extracting #6: cost 5 inf + 357560
5.207 * * [simplify]: Extracting #7: cost 0 inf + 360135
5.325 * [simplify]: Simplified to:
  (log (sqrt (+ (* p (* 4 p)) (* x x))))
  (exp (sqrt (+ (* p (* 4 p)) (* x x))))
  (* (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))))
  (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (* (sqrt (+ (* p (* 4 p)) (* x x))) (+ (* p (* 4 p)) (* x x)))
  (fabs (cbrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (cbrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  1
  (sqrt (+ (* p (* 4 p)) (* x x)))
  (sqrt (+ (* (* (* p (* 4 p)) (* p (* 4 p))) (* p (* 4 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 (+ (* p (* 4 p)) (* x x))))
  (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))
  (real->posit16 (sqrt (+ (* p (* 4 p)) (* x x))))
  (exp (+ 0.5 (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x)))
  (log (+ 0.5 (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x)))
  (exp (+ 0.5 (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x)))
  (* (cbrt (+ 0.5 (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x))) (cbrt (+ 0.5 (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x))))
  (cbrt (+ 0.5 (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x)))
  (* (* (+ 0.5 (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x)) (+ 0.5 (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x))) (+ 0.5 (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x)))
  (sqrt (+ 0.5 (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x)))
  (sqrt (+ 0.5 (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x)))
  (* 0.5 (+ (* 0.5 0.5) (/ (* (* (* 0.5 0.5) x) (* x x)) (* (sqrt (+ (* p (* 4 p)) (* x x))) (+ (* p (* 4 p)) (* x x))))))
  (- (* 0.5 0.5) (* (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x) (- 0.5 (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x))))
  (- (* (/ (* x x) (+ (* p (* 4 p)) (* x x))) (* 0.5 0.5)) (* 0.5 0.5))
  (- (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x) 0.5)
  (real->posit16 (+ 0.5 (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x)))
  (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x)
  (log (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x))
  (log (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x))
  (log (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x))
  (exp (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x))
  (/ (/ (* (* x 0.5) (* (* x 0.5) (* x 0.5))) (+ (* p (* 4 p)) (* x x))) (sqrt (+ (* p (* 4 p)) (* x x))))
  (/ (/ (* (* x 0.5) (* (* x 0.5) (* x 0.5))) (+ (* p (* 4 p)) (* x x))) (sqrt (+ (* p (* 4 p)) (* x x))))
  (* (cbrt (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x)) (cbrt (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x)))
  (cbrt (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x))
  (/ (/ (* (* x 0.5) (* (* x 0.5) (* x 0.5))) (+ (* p (* 4 p)) (* x x))) (sqrt (+ (* p (* 4 p)) (* x x))))
  (sqrt (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x))
  (sqrt (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x))
  (* (sqrt 0.5) (sqrt (/ x (sqrt (+ (* p (* 4 p)) (* x x))))))
  (* (sqrt 0.5) (sqrt (/ x (sqrt (+ (* p (* 4 p)) (* x x))))))
  (* (/ (sqrt x) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))) (sqrt 0.5))
  (* (/ (sqrt x) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))) (sqrt 0.5))
  (* (/ (sqrt x) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))) (sqrt 0.5))
  (* (/ (sqrt x) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))) (sqrt 0.5))
  (* 0.5 (* (cbrt (/ x (sqrt (+ (* p (* 4 p)) (* x x))))) (cbrt (/ x (sqrt (+ (* p (* 4 p)) (* x x)))))))
  (* (sqrt (/ x (sqrt (+ (* p (* 4 p)) (* x x))))) 0.5)
  (* (* (/ (cbrt x) (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))) (/ (cbrt x) (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))))) 0.5)
  (* (/ (* (cbrt x) 0.5) (fabs (cbrt (+ (* p (* 4 p)) (* x x))))) (cbrt x))
  (/ 0.5 (/ (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (* (cbrt x) (cbrt x))))
  (* 0.5 (* (cbrt x) (cbrt x)))
  (/ 0.5 (/ (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))) (* (cbrt x) (cbrt x))))
  (* 0.5 (* (cbrt x) (cbrt x)))
  (* (/ (sqrt x) (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))) (/ 0.5 (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))))
  (/ (* 0.5 (sqrt x)) (fabs (cbrt (+ (* p (* 4 p)) (* x x)))))
  (* (/ (sqrt x) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))) 0.5)
  (* 0.5 (sqrt x))
  (* (/ (sqrt x) (sqrt (sqrt (+ (* p (* 4 p)) (* x x))))) 0.5)
  (* 0.5 (sqrt x))
  (/ 0.5 (* (cbrt (sqrt (+ (* p (* 4 p)) (* x x)))) (cbrt (sqrt (+ (* p (* 4 p)) (* x x))))))
  (/ 0.5 (fabs (cbrt (+ (* p (* 4 p)) (* x x)))))
  (/ 0.5 (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))))
  0.5
  (/ 0.5 (sqrt (sqrt (+ (* p (* 4 p)) (* x x)))))
  0.5
  0.5
  (* x 0.5)
  (/ (* 0.5 x) (sqrt (+ (* (* (* p (* 4 p)) (* p (* 4 p))) (* p (* 4 p))) (* (* (* x x) (* x x)) (* x x)))))
  (/ 0.5 (/ (sqrt (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* p (* 4 p))))) x))
  (/ (* (cbrt 0.5) x) (sqrt (+ (* p (* 4 p)) (* x x))))
  (/ (* (sqrt 0.5) x) (sqrt (+ (* p (* 4 p)) (* x x))))
  (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x)
  (* x 0.5)
  (real->posit16 (* (/ 0.5 (sqrt (+ (* p (* 4 p)) (* x x)))) x))
  (exp (+ (* p (* 4 p)) (* x x)))
  (log (+ (* p (* 4 p)) (* x x)))
  (exp (+ (* p (* 4 p)) (* x x)))
  (* (cbrt (+ (* p (* 4 p)) (* x x))) (cbrt (+ (* p (* 4 p)) (* x x))))
  (cbrt (+ (* p (* 4 p)) (* x x)))
  (* (* (+ (* p (* 4 p)) (* x x)) (+ (* p (* 4 p)) (* x x))) (+ (* p (* 4 p)) (* x x)))
  (sqrt (+ (* p (* 4 p)) (* x x)))
  (sqrt (+ (* p (* 4 p)) (* x x)))
  (+ (* (* (* p (* 4 p)) (* p (* 4 p))) (* p (* 4 p))) (* (* (* x x) (* x x)) (* x x)))
  (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (- (* p (* 4 p)) (* x x))))
  (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* p (* 4 p))))
  (- (* x x) (* p (* 4 p)))
  (real->posit16 (+ (* p (* 4 p)) (* x x)))
  (* p 2)
  x
  (- x)
  0.5
  1.0
  0
  0
  0
  0
  (+ (* p (* 4 p)) (* x x))
  (+ (* p (* 4 p)) (* x x))
  (+ (* p (* 4 p)) (* x x))
5.333 * * * [progress]: adding candidates to table
5.746 * * [progress]: iteration 3 / 4
5.746 * * * [progress]: picking best candidate
5.756 * * * * [pick]: Picked  #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
5.757 * * * [progress]: localizing error
5.809 * * * [progress]: generating rewritten candidates
5.809 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1)
6.159 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2 2 2)
6.165 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 2 2 2)
6.171 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 2 2)
6.178 * * * [progress]: generating series expansions
6.178 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1)
6.179 * [backup-simplify]: Simplify (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) into (* (* (cbrt 0.125) x) (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))
6.179 * [approximate]: Taking taylor expansion of (* (* (cbrt 0.125) x) (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in (x p) around 0
6.179 * [taylor]: Taking taylor expansion of (* (* (cbrt 0.125) x) (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p
6.179 * [taylor]: Taking taylor expansion of (* (cbrt 0.125) x) in p
6.179 * [taylor]: Taking taylor expansion of (cbrt 0.125) in p
6.179 * [taylor]: Taking taylor expansion of 0.125 in p
6.179 * [backup-simplify]: Simplify 0.125 into 0.125
6.180 * [backup-simplify]: Simplify (cbrt 0.125) into (cbrt 0.125)
6.181 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 0.125))) into 0
6.181 * [taylor]: Taking taylor expansion of x in p
6.181 * [backup-simplify]: Simplify x into x
6.181 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p
6.181 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p
6.181 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
6.181 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.181 * [taylor]: Taking taylor expansion of x in p
6.181 * [backup-simplify]: Simplify x into x
6.181 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
6.181 * [taylor]: Taking taylor expansion of 4 in p
6.181 * [backup-simplify]: Simplify 4 into 4
6.181 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.181 * [taylor]: Taking taylor expansion of p in p
6.181 * [backup-simplify]: Simplify 0 into 0
6.181 * [backup-simplify]: Simplify 1 into 1
6.181 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.181 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
6.181 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.181 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
6.181 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
6.182 * [backup-simplify]: Simplify (+ 0 0) into 0
6.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
6.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
6.182 * [taylor]: Taking taylor expansion of (* (* (cbrt 0.125) x) (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
6.182 * [taylor]: Taking taylor expansion of (* (cbrt 0.125) x) in x
6.182 * [taylor]: Taking taylor expansion of (cbrt 0.125) in x
6.182 * [taylor]: Taking taylor expansion of 0.125 in x
6.182 * [backup-simplify]: Simplify 0.125 into 0.125
6.183 * [backup-simplify]: Simplify (cbrt 0.125) into (cbrt 0.125)
6.184 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 0.125))) into 0
6.184 * [taylor]: Taking taylor expansion of x in x
6.184 * [backup-simplify]: Simplify 0 into 0
6.184 * [backup-simplify]: Simplify 1 into 1
6.184 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
6.184 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
6.184 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
6.184 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.184 * [taylor]: Taking taylor expansion of x in x
6.184 * [backup-simplify]: Simplify 0 into 0
6.184 * [backup-simplify]: Simplify 1 into 1
6.184 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
6.184 * [taylor]: Taking taylor expansion of 4 in x
6.184 * [backup-simplify]: Simplify 4 into 4
6.184 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.184 * [taylor]: Taking taylor expansion of p in x
6.184 * [backup-simplify]: Simplify p into p
6.184 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.184 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
6.185 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
6.185 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
6.185 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
6.185 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.185 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
6.186 * [backup-simplify]: Simplify (+ 0 0) into 0
6.186 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
6.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
6.186 * [taylor]: Taking taylor expansion of (* (* (cbrt 0.125) x) (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x
6.186 * [taylor]: Taking taylor expansion of (* (cbrt 0.125) x) in x
6.186 * [taylor]: Taking taylor expansion of (cbrt 0.125) in x
6.186 * [taylor]: Taking taylor expansion of 0.125 in x
6.186 * [backup-simplify]: Simplify 0.125 into 0.125
6.187 * [backup-simplify]: Simplify (cbrt 0.125) into (cbrt 0.125)
6.188 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 0.125))) into 0
6.188 * [taylor]: Taking taylor expansion of x in x
6.188 * [backup-simplify]: Simplify 0 into 0
6.188 * [backup-simplify]: Simplify 1 into 1
6.188 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x
6.188 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x
6.188 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
6.188 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.188 * [taylor]: Taking taylor expansion of x in x
6.188 * [backup-simplify]: Simplify 0 into 0
6.188 * [backup-simplify]: Simplify 1 into 1
6.188 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
6.188 * [taylor]: Taking taylor expansion of 4 in x
6.188 * [backup-simplify]: Simplify 4 into 4
6.188 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.188 * [taylor]: Taking taylor expansion of p in x
6.188 * [backup-simplify]: Simplify p into p
6.189 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.189 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
6.189 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
6.189 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
6.189 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p)
6.189 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.190 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
6.190 * [backup-simplify]: Simplify (+ 0 0) into 0
6.190 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
6.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0
6.191 * [backup-simplify]: Simplify (* (cbrt 0.125) 0) into 0
6.191 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0
6.192 * [taylor]: Taking taylor expansion of 0 in p
6.192 * [backup-simplify]: Simplify 0 into 0
6.192 * [backup-simplify]: Simplify 0 into 0
6.194 * [backup-simplify]: Simplify (+ (* (cbrt 0.125) 1) (* 0 0)) into (cbrt 0.125)
6.195 * [backup-simplify]: Simplify (+ (* 0 0) (* (cbrt 0.125) (/ 1/2 p))) into (* 1/2 (/ (cbrt 0.125) p))
6.195 * [taylor]: Taking taylor expansion of (* 1/2 (/ (cbrt 0.125) p)) in p
6.195 * [taylor]: Taking taylor expansion of 1/2 in p
6.195 * [backup-simplify]: Simplify 1/2 into 1/2
6.195 * [taylor]: Taking taylor expansion of (/ (cbrt 0.125) p) in p
6.195 * [taylor]: Taking taylor expansion of (cbrt 0.125) in p
6.195 * [taylor]: Taking taylor expansion of 0.125 in p
6.195 * [backup-simplify]: Simplify 0.125 into 0.125
6.196 * [backup-simplify]: Simplify (cbrt 0.125) into (cbrt 0.125)
6.196 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 0.125))) into 0
6.196 * [taylor]: Taking taylor expansion of p in p
6.197 * [backup-simplify]: Simplify 0 into 0
6.197 * [backup-simplify]: Simplify 1 into 1
6.202 * [backup-simplify]: Simplify (/ (cbrt 0.125) 1) into (cbrt 0.125)
6.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 0.125) (/ 0 1)))) into 0
6.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (cbrt 0.125))) into 0
6.204 * [backup-simplify]: Simplify 0 into 0
6.204 * [backup-simplify]: Simplify 0 into 0
6.205 * [backup-simplify]: Simplify (* 1 1) into 1
6.205 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
6.206 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
6.206 * [backup-simplify]: Simplify (+ 1 0) into 1
6.207 * [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))))
6.208 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3))
6.210 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 0.125))))) (* 3 (cbrt 0.125))) into 0
6.211 * [backup-simplify]: Simplify (+ (* (cbrt 0.125) 0) (+ (* 0 1) (* 0 0))) into 0
6.212 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* (cbrt 0.125) 0) (* 0 (/ 1/2 p)))) into 0
6.212 * [taylor]: Taking taylor expansion of 0 in p
6.212 * [backup-simplify]: Simplify 0 into 0
6.212 * [backup-simplify]: Simplify 0 into 0
6.214 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 0.125))))) (* 3 (cbrt 0.125))) into 0
6.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 0.125) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (cbrt 0.125)))) into 0
6.216 * [backup-simplify]: Simplify 0 into 0
6.217 * [backup-simplify]: Simplify 0 into 0
6.217 * [backup-simplify]: Simplify 0 into 0
6.218 * [backup-simplify]: Simplify (cbrt (* (* (* 0.5 (/ (/ 1 x) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* 4 (/ 1 p)) (/ 1 p)))))) (* 0.5 (/ (/ 1 x) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* 4 (/ 1 p)) (/ 1 p))))))) (* 0.5 (/ (/ 1 x) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* 4 (/ 1 p)) (/ 1 p)))))))) into (* (/ (cbrt 0.125) x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))
6.218 * [approximate]: Taking taylor expansion of (* (/ (cbrt 0.125) x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in (x p) around 0
6.218 * [taylor]: Taking taylor expansion of (* (/ (cbrt 0.125) x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
6.218 * [taylor]: Taking taylor expansion of (/ (cbrt 0.125) x) in p
6.218 * [taylor]: Taking taylor expansion of (cbrt 0.125) in p
6.218 * [taylor]: Taking taylor expansion of 0.125 in p
6.218 * [backup-simplify]: Simplify 0.125 into 0.125
6.219 * [backup-simplify]: Simplify (cbrt 0.125) into (cbrt 0.125)
6.219 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 0.125))) into 0
6.219 * [taylor]: Taking taylor expansion of x in p
6.219 * [backup-simplify]: Simplify x into x
6.220 * [backup-simplify]: Simplify (/ (cbrt 0.125) x) into (/ (cbrt 0.125) x)
6.220 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
6.220 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
6.220 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
6.220 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
6.220 * [taylor]: Taking taylor expansion of 4 in p
6.220 * [backup-simplify]: Simplify 4 into 4
6.220 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
6.220 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.220 * [taylor]: Taking taylor expansion of p in p
6.220 * [backup-simplify]: Simplify 0 into 0
6.220 * [backup-simplify]: Simplify 1 into 1
6.221 * [backup-simplify]: Simplify (* 1 1) into 1
6.221 * [backup-simplify]: Simplify (/ 1 1) into 1
6.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
6.221 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.221 * [taylor]: Taking taylor expansion of x in p
6.221 * [backup-simplify]: Simplify x into x
6.221 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.221 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.222 * [backup-simplify]: Simplify (* 4 1) into 4
6.222 * [backup-simplify]: Simplify (+ 4 0) into 4
6.223 * [backup-simplify]: Simplify (/ 1 4) into 1/4
6.223 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
6.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.225 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
6.226 * [backup-simplify]: Simplify (+ 0 0) into 0
6.226 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
6.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
6.227 * [taylor]: Taking taylor expansion of (* (/ (cbrt 0.125) x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
6.227 * [taylor]: Taking taylor expansion of (/ (cbrt 0.125) x) in x
6.227 * [taylor]: Taking taylor expansion of (cbrt 0.125) in x
6.227 * [taylor]: Taking taylor expansion of 0.125 in x
6.227 * [backup-simplify]: Simplify 0.125 into 0.125
6.228 * [backup-simplify]: Simplify (cbrt 0.125) into (cbrt 0.125)
6.229 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 0.125))) into 0
6.229 * [taylor]: Taking taylor expansion of x in x
6.229 * [backup-simplify]: Simplify 0 into 0
6.229 * [backup-simplify]: Simplify 1 into 1
6.230 * [backup-simplify]: Simplify (/ (cbrt 0.125) 1) into (cbrt 0.125)
6.230 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
6.230 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.230 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.230 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.230 * [taylor]: Taking taylor expansion of 4 in x
6.230 * [backup-simplify]: Simplify 4 into 4
6.230 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.230 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.230 * [taylor]: Taking taylor expansion of p in x
6.230 * [backup-simplify]: Simplify p into p
6.230 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.230 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.230 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.230 * [taylor]: Taking taylor expansion of x in x
6.230 * [backup-simplify]: Simplify 0 into 0
6.230 * [backup-simplify]: Simplify 1 into 1
6.231 * [backup-simplify]: Simplify (* 1 1) into 1
6.231 * [backup-simplify]: Simplify (/ 1 1) into 1
6.231 * [backup-simplify]: Simplify (+ 0 1) into 1
6.232 * [backup-simplify]: Simplify (/ 1 1) into 1
6.232 * [backup-simplify]: Simplify (sqrt 1) into 1
6.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.234 * [backup-simplify]: Simplify (+ 0 0) into 0
6.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.236 * [taylor]: Taking taylor expansion of (* (/ (cbrt 0.125) x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
6.236 * [taylor]: Taking taylor expansion of (/ (cbrt 0.125) x) in x
6.236 * [taylor]: Taking taylor expansion of (cbrt 0.125) in x
6.236 * [taylor]: Taking taylor expansion of 0.125 in x
6.236 * [backup-simplify]: Simplify 0.125 into 0.125
6.236 * [backup-simplify]: Simplify (cbrt 0.125) into (cbrt 0.125)
6.237 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 0.125))) into 0
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
6.238 * [backup-simplify]: Simplify (/ (cbrt 0.125) 1) into (cbrt 0.125)
6.238 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
6.238 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.238 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.238 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.238 * [taylor]: Taking taylor expansion of 4 in x
6.238 * [backup-simplify]: Simplify 4 into 4
6.238 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.239 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.239 * [taylor]: Taking taylor expansion of p in x
6.239 * [backup-simplify]: Simplify p into p
6.239 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.239 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.239 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.239 * [taylor]: Taking taylor expansion of x in x
6.239 * [backup-simplify]: Simplify 0 into 0
6.239 * [backup-simplify]: Simplify 1 into 1
6.239 * [backup-simplify]: Simplify (* 1 1) into 1
6.240 * [backup-simplify]: Simplify (/ 1 1) into 1
6.240 * [backup-simplify]: Simplify (+ 0 1) into 1
6.241 * [backup-simplify]: Simplify (/ 1 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
6.243 * [backup-simplify]: Simplify (+ 0 0) into 0
6.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.245 * [backup-simplify]: Simplify (* (cbrt 0.125) 1) into (cbrt 0.125)
6.245 * [taylor]: Taking taylor expansion of (cbrt 0.125) in p
6.245 * [taylor]: Taking taylor expansion of 0.125 in p
6.245 * [backup-simplify]: Simplify 0.125 into 0.125
6.246 * [backup-simplify]: Simplify (cbrt 0.125) into (cbrt 0.125)
6.247 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 0.125))) into 0
6.247 * [backup-simplify]: Simplify 0 into 0
6.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 0.125) (/ 0 1)))) into 0
6.248 * [backup-simplify]: Simplify (+ (* (cbrt 0.125) 0) (* 0 1)) into 0
6.248 * [taylor]: Taking taylor expansion of 0 in p
6.248 * [backup-simplify]: Simplify 0 into 0
6.248 * [backup-simplify]: Simplify 0 into 0
6.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 0.125))))) (* 3 (cbrt 0.125))) into 0
6.249 * [backup-simplify]: Simplify 0 into 0
6.249 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
6.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.250 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
6.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
6.251 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
6.252 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 0.125))))) (* 3 (cbrt 0.125))) into 0
6.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 0.125) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.254 * [backup-simplify]: Simplify (+ (* (cbrt 0.125) (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ (cbrt 0.125) (pow p 2))))
6.254 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt 0.125) (pow p 2)))) in p
6.254 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt 0.125) (pow p 2))) in p
6.254 * [taylor]: Taking taylor expansion of 2 in p
6.254 * [backup-simplify]: Simplify 2 into 2
6.254 * [taylor]: Taking taylor expansion of (/ (cbrt 0.125) (pow p 2)) in p
6.254 * [taylor]: Taking taylor expansion of (cbrt 0.125) in p
6.254 * [taylor]: Taking taylor expansion of 0.125 in p
6.254 * [backup-simplify]: Simplify 0.125 into 0.125
6.254 * [backup-simplify]: Simplify (cbrt 0.125) into (cbrt 0.125)
6.254 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 0.125))) into 0
6.254 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.254 * [taylor]: Taking taylor expansion of p in p
6.254 * [backup-simplify]: Simplify 0 into 0
6.254 * [backup-simplify]: Simplify 1 into 1
6.255 * [backup-simplify]: Simplify (* 1 1) into 1
6.255 * [backup-simplify]: Simplify (/ (cbrt 0.125) 1) into (cbrt 0.125)
6.256 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 0.125))) into 0
6.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 0.125) (/ 0 1)))) into 0
6.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.259 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 0.125))))) (* 3 (cbrt 0.125))) into 0
6.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 0.125) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 0.125) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.261 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 0.125))))) into 0
6.261 * [backup-simplify]: Simplify (- 0) into 0
6.261 * [backup-simplify]: Simplify 0 into 0
6.261 * [backup-simplify]: Simplify 0 into 0
6.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 0.125))) into 0
6.262 * [backup-simplify]: Simplify 0 into 0
6.262 * [backup-simplify]: Simplify 0 into 0
6.263 * [backup-simplify]: Simplify (cbrt (* (* (* 0.5 (/ (/ 1 (- x)) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4 (/ 1 (- p))) (/ 1 (- p))))))) (* 0.5 (/ (/ 1 (- x)) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4 (/ 1 (- p))) (/ 1 (- p)))))))) (* 0.5 (/ (/ 1 (- x)) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4 (/ 1 (- p))) (/ 1 (- p))))))))) into (* (/ (cbrt -0.125) x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))
6.263 * [approximate]: Taking taylor expansion of (* (/ (cbrt -0.125) x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in (x p) around 0
6.263 * [taylor]: Taking taylor expansion of (* (/ (cbrt -0.125) x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p
6.263 * [taylor]: Taking taylor expansion of (/ (cbrt -0.125) x) in p
6.263 * [taylor]: Taking taylor expansion of (cbrt -0.125) in p
6.263 * [taylor]: Taking taylor expansion of -0.125 in p
6.263 * [backup-simplify]: Simplify -0.125 into -0.125
6.263 * [backup-simplify]: Simplify (cbrt -0.125) into (cbrt -0.125)
6.264 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -0.125))) into 0
6.264 * [taylor]: Taking taylor expansion of x in p
6.264 * [backup-simplify]: Simplify x into x
6.264 * [backup-simplify]: Simplify (/ (cbrt -0.125) x) into (/ (cbrt -0.125) x)
6.264 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
6.264 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
6.264 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
6.264 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
6.264 * [taylor]: Taking taylor expansion of 4 in p
6.264 * [backup-simplify]: Simplify 4 into 4
6.264 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
6.264 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.264 * [taylor]: Taking taylor expansion of p in p
6.264 * [backup-simplify]: Simplify 0 into 0
6.264 * [backup-simplify]: Simplify 1 into 1
6.265 * [backup-simplify]: Simplify (* 1 1) into 1
6.265 * [backup-simplify]: Simplify (/ 1 1) into 1
6.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
6.265 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.265 * [taylor]: Taking taylor expansion of x in p
6.265 * [backup-simplify]: Simplify x into x
6.265 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.265 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.265 * [backup-simplify]: Simplify (* 4 1) into 4
6.266 * [backup-simplify]: Simplify (+ 4 0) into 4
6.266 * [backup-simplify]: Simplify (/ 1 4) into 1/4
6.266 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2
6.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.267 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
6.268 * [backup-simplify]: Simplify (+ 0 0) into 0
6.268 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0
6.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
6.269 * [taylor]: Taking taylor expansion of (* (/ (cbrt -0.125) x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
6.269 * [taylor]: Taking taylor expansion of (/ (cbrt -0.125) x) in x
6.269 * [taylor]: Taking taylor expansion of (cbrt -0.125) in x
6.269 * [taylor]: Taking taylor expansion of -0.125 in x
6.269 * [backup-simplify]: Simplify -0.125 into -0.125
6.269 * [backup-simplify]: Simplify (cbrt -0.125) into (cbrt -0.125)
6.269 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -0.125))) into 0
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
6.270 * [backup-simplify]: Simplify (/ (cbrt -0.125) 1) into (cbrt -0.125)
6.270 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
6.270 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.270 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.270 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.270 * [taylor]: Taking taylor expansion of 4 in x
6.270 * [backup-simplify]: Simplify 4 into 4
6.270 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.270 * [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 (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.270 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.270 * [taylor]: Taking taylor expansion of x in x
6.270 * [backup-simplify]: Simplify 0 into 0
6.270 * [backup-simplify]: Simplify 1 into 1
6.271 * [backup-simplify]: Simplify (* 1 1) into 1
6.271 * [backup-simplify]: Simplify (/ 1 1) into 1
6.271 * [backup-simplify]: Simplify (+ 0 1) into 1
6.271 * [backup-simplify]: Simplify (/ 1 1) into 1
6.272 * [backup-simplify]: Simplify (sqrt 1) into 1
6.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.273 * [backup-simplify]: Simplify (+ 0 0) into 0
6.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.273 * [taylor]: Taking taylor expansion of (* (/ (cbrt -0.125) x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x
6.274 * [taylor]: Taking taylor expansion of (/ (cbrt -0.125) x) in x
6.274 * [taylor]: Taking taylor expansion of (cbrt -0.125) in x
6.274 * [taylor]: Taking taylor expansion of -0.125 in x
6.274 * [backup-simplify]: Simplify -0.125 into -0.125
6.274 * [backup-simplify]: Simplify (cbrt -0.125) into (cbrt -0.125)
6.274 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -0.125))) into 0
6.274 * [taylor]: Taking taylor expansion of x in x
6.274 * [backup-simplify]: Simplify 0 into 0
6.274 * [backup-simplify]: Simplify 1 into 1
6.275 * [backup-simplify]: Simplify (/ (cbrt -0.125) 1) into (cbrt -0.125)
6.275 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
6.275 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.275 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.275 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.275 * [taylor]: Taking taylor expansion of 4 in x
6.275 * [backup-simplify]: Simplify 4 into 4
6.275 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.275 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.275 * [taylor]: Taking taylor expansion of p in x
6.275 * [backup-simplify]: Simplify p into p
6.275 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.275 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.275 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.275 * [taylor]: Taking taylor expansion of x in x
6.275 * [backup-simplify]: Simplify 0 into 0
6.275 * [backup-simplify]: Simplify 1 into 1
6.276 * [backup-simplify]: Simplify (* 1 1) into 1
6.276 * [backup-simplify]: Simplify (/ 1 1) into 1
6.276 * [backup-simplify]: Simplify (+ 0 1) into 1
6.276 * [backup-simplify]: Simplify (/ 1 1) into 1
6.277 * [backup-simplify]: Simplify (sqrt 1) into 1
6.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.278 * [backup-simplify]: Simplify (+ 0 0) into 0
6.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.279 * [backup-simplify]: Simplify (* (cbrt -0.125) 1) into (cbrt -0.125)
6.279 * [taylor]: Taking taylor expansion of (cbrt -0.125) in p
6.279 * [taylor]: Taking taylor expansion of -0.125 in p
6.279 * [backup-simplify]: Simplify -0.125 into -0.125
6.280 * [backup-simplify]: Simplify (cbrt -0.125) into (cbrt -0.125)
6.281 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -0.125))) into 0
6.281 * [backup-simplify]: Simplify 0 into 0
6.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -0.125) (/ 0 1)))) into 0
6.283 * [backup-simplify]: Simplify (+ (* (cbrt -0.125) 0) (* 0 1)) into 0
6.283 * [taylor]: Taking taylor expansion of 0 in p
6.283 * [backup-simplify]: Simplify 0 into 0
6.283 * [backup-simplify]: Simplify 0 into 0
6.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -0.125))))) (* 3 (cbrt -0.125))) into 0
6.285 * [backup-simplify]: Simplify 0 into 0
6.285 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
6.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.287 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
6.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
6.289 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2))
6.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -0.125))))) (* 3 (cbrt -0.125))) into 0
6.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -0.125) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.293 * [backup-simplify]: Simplify (+ (* (cbrt -0.125) (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ (cbrt -0.125) (pow p 2))))
6.293 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -0.125) (pow p 2)))) in p
6.293 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -0.125) (pow p 2))) in p
6.293 * [taylor]: Taking taylor expansion of 2 in p
6.293 * [backup-simplify]: Simplify 2 into 2
6.293 * [taylor]: Taking taylor expansion of (/ (cbrt -0.125) (pow p 2)) in p
6.293 * [taylor]: Taking taylor expansion of (cbrt -0.125) in p
6.293 * [taylor]: Taking taylor expansion of -0.125 in p
6.293 * [backup-simplify]: Simplify -0.125 into -0.125
6.294 * [backup-simplify]: Simplify (cbrt -0.125) into (cbrt -0.125)
6.294 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -0.125))) into 0
6.294 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.294 * [taylor]: Taking taylor expansion of p in p
6.294 * [backup-simplify]: Simplify 0 into 0
6.294 * [backup-simplify]: Simplify 1 into 1
6.295 * [backup-simplify]: Simplify (* 1 1) into 1
6.296 * [backup-simplify]: Simplify (/ (cbrt -0.125) 1) into (cbrt -0.125)
6.297 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -0.125))) into 0
6.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -0.125) (/ 0 1)))) into 0
6.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.302 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -0.125))))) (* 3 (cbrt -0.125))) into 0
6.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -0.125) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -0.125) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.306 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -0.125))))) into 0
6.306 * [backup-simplify]: Simplify (- 0) into 0
6.306 * [backup-simplify]: Simplify 0 into 0
6.306 * [backup-simplify]: Simplify 0 into 0
6.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -0.125))) into 0
6.308 * [backup-simplify]: Simplify 0 into 0
6.308 * [backup-simplify]: Simplify 0 into 0
6.308 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2 2 2)
6.308 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* 4 p) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
6.308 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
6.308 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
6.308 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
6.308 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.308 * [taylor]: Taking taylor expansion of x in p
6.309 * [backup-simplify]: Simplify x into x
6.309 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
6.309 * [taylor]: Taking taylor expansion of 4 in p
6.309 * [backup-simplify]: Simplify 4 into 4
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 (* x x) into (pow x 2)
6.309 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
6.309 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
6.309 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
6.310 * [backup-simplify]: Simplify (+ 0 0) into 0
6.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
6.310 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
6.310 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
6.310 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.310 * [taylor]: Taking taylor expansion of x in x
6.310 * [backup-simplify]: Simplify 0 into 0
6.310 * [backup-simplify]: Simplify 1 into 1
6.310 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
6.310 * [taylor]: Taking taylor expansion of 4 in x
6.310 * [backup-simplify]: Simplify 4 into 4
6.310 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.310 * [taylor]: Taking taylor expansion of p in x
6.310 * [backup-simplify]: Simplify p into p
6.310 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.310 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
6.310 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
6.310 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
6.310 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.311 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
6.311 * [backup-simplify]: Simplify (+ 0 0) into 0
6.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
6.311 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
6.311 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
6.311 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.312 * [taylor]: Taking taylor expansion of x in x
6.312 * [backup-simplify]: Simplify 0 into 0
6.312 * [backup-simplify]: Simplify 1 into 1
6.312 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
6.312 * [taylor]: Taking taylor expansion of 4 in x
6.312 * [backup-simplify]: Simplify 4 into 4
6.312 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.312 * [taylor]: Taking taylor expansion of p in x
6.312 * [backup-simplify]: Simplify p into p
6.312 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.312 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
6.312 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
6.312 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
6.312 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.313 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
6.313 * [backup-simplify]: Simplify (+ 0 0) into 0
6.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
6.313 * [taylor]: Taking taylor expansion of (* 2 p) in p
6.313 * [taylor]: Taking taylor expansion of 2 in p
6.313 * [backup-simplify]: Simplify 2 into 2
6.313 * [taylor]: Taking taylor expansion of p in p
6.313 * [backup-simplify]: Simplify 0 into 0
6.313 * [backup-simplify]: Simplify 1 into 1
6.314 * [backup-simplify]: Simplify (* 2 0) into 0
6.314 * [backup-simplify]: Simplify 0 into 0
6.314 * [taylor]: Taking taylor expansion of 0 in p
6.314 * [backup-simplify]: Simplify 0 into 0
6.314 * [backup-simplify]: Simplify 0 into 0
6.315 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
6.315 * [backup-simplify]: Simplify 2 into 2
6.315 * [backup-simplify]: Simplify (* 1 1) into 1
6.316 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
6.316 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
6.317 * [backup-simplify]: Simplify (+ 1 0) into 1
6.318 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
6.318 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
6.318 * [taylor]: Taking taylor expansion of 1/4 in p
6.318 * [backup-simplify]: Simplify 1/4 into 1/4
6.318 * [taylor]: Taking taylor expansion of p in p
6.318 * [backup-simplify]: Simplify 0 into 0
6.318 * [backup-simplify]: Simplify 1 into 1
6.318 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
6.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
6.319 * [backup-simplify]: Simplify 0 into 0
6.319 * [backup-simplify]: Simplify 0 into 0
6.320 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
6.320 * [backup-simplify]: Simplify 0 into 0
6.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.322 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
6.323 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
6.323 * [backup-simplify]: Simplify (+ 0 0) into 0
6.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
6.324 * [taylor]: Taking taylor expansion of 0 in p
6.324 * [backup-simplify]: Simplify 0 into 0
6.324 * [backup-simplify]: Simplify 0 into 0
6.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.331 * [backup-simplify]: Simplify 0 into 0
6.331 * [backup-simplify]: Simplify 0 into 0
6.331 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
6.331 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* 4 (/ 1 p)) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
6.331 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
6.331 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
6.331 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
6.331 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
6.331 * [taylor]: Taking taylor expansion of 4 in p
6.331 * [backup-simplify]: Simplify 4 into 4
6.331 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
6.331 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.331 * [taylor]: Taking taylor expansion of p in p
6.331 * [backup-simplify]: Simplify 0 into 0
6.331 * [backup-simplify]: Simplify 1 into 1
6.332 * [backup-simplify]: Simplify (* 1 1) into 1
6.332 * [backup-simplify]: Simplify (/ 1 1) into 1
6.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
6.332 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.332 * [taylor]: Taking taylor expansion of x in p
6.332 * [backup-simplify]: Simplify x into x
6.332 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.332 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.333 * [backup-simplify]: Simplify (* 4 1) into 4
6.333 * [backup-simplify]: Simplify (+ 4 0) into 4
6.333 * [backup-simplify]: Simplify (sqrt 4) into 2
6.334 * [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
6.335 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.335 * [taylor]: Taking taylor expansion of 4 in x
6.335 * [backup-simplify]: Simplify 4 into 4
6.335 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.335 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.335 * [taylor]: Taking taylor expansion of p in x
6.335 * [backup-simplify]: Simplify p into p
6.335 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.335 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.335 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.335 * [taylor]: Taking taylor expansion of x in x
6.335 * [backup-simplify]: Simplify 0 into 0
6.335 * [backup-simplify]: Simplify 1 into 1
6.336 * [backup-simplify]: Simplify (* 1 1) into 1
6.336 * [backup-simplify]: Simplify (/ 1 1) into 1
6.336 * [backup-simplify]: Simplify (+ 0 1) into 1
6.336 * [backup-simplify]: Simplify (sqrt 1) into 1
6.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.337 * [backup-simplify]: Simplify (+ 0 0) into 0
6.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.338 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.338 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.338 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.338 * [taylor]: Taking taylor expansion of 4 in x
6.338 * [backup-simplify]: Simplify 4 into 4
6.338 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.338 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.338 * [taylor]: Taking taylor expansion of p in x
6.338 * [backup-simplify]: Simplify p into p
6.338 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.338 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.338 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.338 * [taylor]: Taking taylor expansion of x in x
6.338 * [backup-simplify]: Simplify 0 into 0
6.338 * [backup-simplify]: Simplify 1 into 1
6.338 * [backup-simplify]: Simplify (* 1 1) into 1
6.339 * [backup-simplify]: Simplify (/ 1 1) into 1
6.339 * [backup-simplify]: Simplify (+ 0 1) into 1
6.339 * [backup-simplify]: Simplify (sqrt 1) into 1
6.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.340 * [backup-simplify]: Simplify (+ 0 0) into 0
6.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.341 * [taylor]: Taking taylor expansion of 1 in p
6.341 * [backup-simplify]: Simplify 1 into 1
6.341 * [taylor]: Taking taylor expansion of 0 in p
6.341 * [backup-simplify]: Simplify 0 into 0
6.341 * [backup-simplify]: Simplify 1 into 1
6.341 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
6.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.342 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
6.343 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
6.343 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
6.343 * [taylor]: Taking taylor expansion of 2 in p
6.343 * [backup-simplify]: Simplify 2 into 2
6.343 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.343 * [taylor]: Taking taylor expansion of p in p
6.343 * [backup-simplify]: Simplify 0 into 0
6.343 * [backup-simplify]: Simplify 1 into 1
6.343 * [backup-simplify]: Simplify (* 1 1) into 1
6.343 * [backup-simplify]: Simplify (/ 2 1) into 2
6.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
6.344 * [backup-simplify]: Simplify 0 into 0
6.344 * [backup-simplify]: Simplify 0 into 0
6.344 * [backup-simplify]: Simplify 0 into 0
6.345 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
6.345 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
6.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.346 * [backup-simplify]: Simplify (+ 0 0) into 0
6.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
6.347 * [taylor]: Taking taylor expansion of 0 in p
6.347 * [backup-simplify]: Simplify 0 into 0
6.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.348 * [backup-simplify]: Simplify 0 into 0
6.348 * [backup-simplify]: Simplify 0 into 0
6.348 * [backup-simplify]: Simplify 0 into 0
6.348 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
6.348 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4 (/ 1 (- p))) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
6.348 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
6.348 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
6.348 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
6.348 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
6.348 * [taylor]: Taking taylor expansion of 4 in p
6.348 * [backup-simplify]: Simplify 4 into 4
6.348 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
6.348 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.348 * [taylor]: Taking taylor expansion of p in p
6.348 * [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 (/ 1 1) into 1
6.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
6.349 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.349 * [taylor]: Taking taylor expansion of x in p
6.349 * [backup-simplify]: Simplify x into x
6.349 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.349 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.349 * [backup-simplify]: Simplify (* 4 1) into 4
6.350 * [backup-simplify]: Simplify (+ 4 0) into 4
6.350 * [backup-simplify]: Simplify (sqrt 4) into 2
6.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.351 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
6.351 * [backup-simplify]: Simplify (+ 0 0) into 0
6.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
6.352 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.352 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.352 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.352 * [taylor]: Taking taylor expansion of 4 in x
6.352 * [backup-simplify]: Simplify 4 into 4
6.352 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.352 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.352 * [taylor]: Taking taylor expansion of p in x
6.352 * [backup-simplify]: Simplify p into p
6.352 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.352 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.352 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.352 * [taylor]: Taking taylor expansion of x in x
6.352 * [backup-simplify]: Simplify 0 into 0
6.352 * [backup-simplify]: Simplify 1 into 1
6.352 * [backup-simplify]: Simplify (* 1 1) into 1
6.353 * [backup-simplify]: Simplify (/ 1 1) into 1
6.353 * [backup-simplify]: Simplify (+ 0 1) into 1
6.353 * [backup-simplify]: Simplify (sqrt 1) into 1
6.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.354 * [backup-simplify]: Simplify (+ 0 0) into 0
6.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.355 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.355 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.355 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.355 * [taylor]: Taking taylor expansion of 4 in x
6.355 * [backup-simplify]: Simplify 4 into 4
6.355 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.355 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.355 * [taylor]: Taking taylor expansion of p in x
6.355 * [backup-simplify]: Simplify p into p
6.355 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.355 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.355 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.355 * [taylor]: Taking taylor expansion of x in x
6.355 * [backup-simplify]: Simplify 0 into 0
6.355 * [backup-simplify]: Simplify 1 into 1
6.355 * [backup-simplify]: Simplify (* 1 1) into 1
6.355 * [backup-simplify]: Simplify (/ 1 1) into 1
6.356 * [backup-simplify]: Simplify (+ 0 1) into 1
6.356 * [backup-simplify]: Simplify (sqrt 1) into 1
6.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.357 * [backup-simplify]: Simplify (+ 0 0) into 0
6.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.357 * [taylor]: Taking taylor expansion of 1 in p
6.357 * [backup-simplify]: Simplify 1 into 1
6.357 * [taylor]: Taking taylor expansion of 0 in p
6.357 * [backup-simplify]: Simplify 0 into 0
6.357 * [backup-simplify]: Simplify 1 into 1
6.358 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
6.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.359 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
6.359 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
6.359 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
6.359 * [taylor]: Taking taylor expansion of 2 in p
6.359 * [backup-simplify]: Simplify 2 into 2
6.359 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.360 * [taylor]: Taking taylor expansion of p in p
6.360 * [backup-simplify]: Simplify 0 into 0
6.360 * [backup-simplify]: Simplify 1 into 1
6.360 * [backup-simplify]: Simplify (* 1 1) into 1
6.360 * [backup-simplify]: Simplify (/ 2 1) into 2
6.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
6.361 * [backup-simplify]: Simplify 0 into 0
6.361 * [backup-simplify]: Simplify 0 into 0
6.361 * [backup-simplify]: Simplify 0 into 0
6.361 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
6.362 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
6.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.363 * [backup-simplify]: Simplify (+ 0 0) into 0
6.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
6.363 * [taylor]: Taking taylor expansion of 0 in p
6.363 * [backup-simplify]: Simplify 0 into 0
6.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.364 * [backup-simplify]: Simplify 0 into 0
6.365 * [backup-simplify]: Simplify 0 into 0
6.365 * [backup-simplify]: Simplify 0 into 0
6.365 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
6.365 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 2 2 2)
6.365 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* 4 p) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
6.365 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
6.365 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
6.365 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
6.365 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.365 * [taylor]: Taking taylor expansion of x in p
6.365 * [backup-simplify]: Simplify x into x
6.365 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
6.365 * [taylor]: Taking taylor expansion of 4 in p
6.365 * [backup-simplify]: Simplify 4 into 4
6.365 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.365 * [taylor]: Taking taylor expansion of p in p
6.365 * [backup-simplify]: Simplify 0 into 0
6.365 * [backup-simplify]: Simplify 1 into 1
6.365 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.365 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
6.365 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
6.365 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
6.366 * [backup-simplify]: Simplify (+ 0 0) into 0
6.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
6.366 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
6.366 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
6.366 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.366 * [taylor]: Taking taylor expansion of x in x
6.366 * [backup-simplify]: Simplify 0 into 0
6.366 * [backup-simplify]: Simplify 1 into 1
6.366 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
6.366 * [taylor]: Taking taylor expansion of 4 in x
6.366 * [backup-simplify]: Simplify 4 into 4
6.366 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.366 * [taylor]: Taking taylor expansion of p in x
6.366 * [backup-simplify]: Simplify p into p
6.366 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.366 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
6.366 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
6.366 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
6.366 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.366 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
6.367 * [backup-simplify]: Simplify (+ 0 0) into 0
6.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
6.367 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
6.367 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
6.367 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.367 * [taylor]: Taking taylor expansion of x in x
6.367 * [backup-simplify]: Simplify 0 into 0
6.367 * [backup-simplify]: Simplify 1 into 1
6.367 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
6.367 * [taylor]: Taking taylor expansion of 4 in x
6.367 * [backup-simplify]: Simplify 4 into 4
6.367 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.367 * [taylor]: Taking taylor expansion of p in x
6.367 * [backup-simplify]: Simplify p into p
6.367 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.367 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
6.367 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
6.367 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
6.367 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.368 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
6.368 * [backup-simplify]: Simplify (+ 0 0) into 0
6.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
6.368 * [taylor]: Taking taylor expansion of (* 2 p) in p
6.369 * [taylor]: Taking taylor expansion of 2 in p
6.369 * [backup-simplify]: Simplify 2 into 2
6.369 * [taylor]: Taking taylor expansion of p in p
6.369 * [backup-simplify]: Simplify 0 into 0
6.369 * [backup-simplify]: Simplify 1 into 1
6.369 * [backup-simplify]: Simplify (* 2 0) into 0
6.369 * [backup-simplify]: Simplify 0 into 0
6.369 * [taylor]: Taking taylor expansion of 0 in p
6.369 * [backup-simplify]: Simplify 0 into 0
6.369 * [backup-simplify]: Simplify 0 into 0
6.370 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
6.370 * [backup-simplify]: Simplify 2 into 2
6.370 * [backup-simplify]: Simplify (* 1 1) into 1
6.371 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
6.372 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
6.372 * [backup-simplify]: Simplify (+ 1 0) into 1
6.373 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
6.373 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
6.373 * [taylor]: Taking taylor expansion of 1/4 in p
6.373 * [backup-simplify]: Simplify 1/4 into 1/4
6.373 * [taylor]: Taking taylor expansion of p in p
6.373 * [backup-simplify]: Simplify 0 into 0
6.373 * [backup-simplify]: Simplify 1 into 1
6.374 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
6.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
6.375 * [backup-simplify]: Simplify 0 into 0
6.375 * [backup-simplify]: Simplify 0 into 0
6.376 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
6.376 * [backup-simplify]: Simplify 0 into 0
6.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.377 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
6.379 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
6.379 * [backup-simplify]: Simplify (+ 0 0) into 0
6.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
6.379 * [taylor]: Taking taylor expansion of 0 in p
6.379 * [backup-simplify]: Simplify 0 into 0
6.379 * [backup-simplify]: Simplify 0 into 0
6.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.380 * [backup-simplify]: Simplify 0 into 0
6.380 * [backup-simplify]: Simplify 0 into 0
6.381 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
6.381 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* 4 (/ 1 p)) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
6.381 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
6.381 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
6.381 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
6.381 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
6.381 * [taylor]: Taking taylor expansion of 4 in p
6.381 * [backup-simplify]: Simplify 4 into 4
6.381 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
6.381 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.381 * [taylor]: Taking taylor expansion of p in p
6.381 * [backup-simplify]: Simplify 0 into 0
6.381 * [backup-simplify]: Simplify 1 into 1
6.382 * [backup-simplify]: Simplify (* 1 1) into 1
6.382 * [backup-simplify]: Simplify (/ 1 1) into 1
6.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
6.382 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.382 * [taylor]: Taking taylor expansion of x in p
6.382 * [backup-simplify]: Simplify x into x
6.382 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.382 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.383 * [backup-simplify]: Simplify (* 4 1) into 4
6.383 * [backup-simplify]: Simplify (+ 4 0) into 4
6.383 * [backup-simplify]: Simplify (sqrt 4) into 2
6.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.385 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
6.386 * [backup-simplify]: Simplify (+ 0 0) into 0
6.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
6.386 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.387 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.387 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.387 * [taylor]: Taking taylor expansion of 4 in x
6.387 * [backup-simplify]: Simplify 4 into 4
6.387 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.387 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.387 * [taylor]: Taking taylor expansion of p in x
6.387 * [backup-simplify]: Simplify p into p
6.387 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.387 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.387 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.387 * [taylor]: Taking taylor expansion of x in x
6.387 * [backup-simplify]: Simplify 0 into 0
6.387 * [backup-simplify]: Simplify 1 into 1
6.387 * [backup-simplify]: Simplify (* 1 1) into 1
6.388 * [backup-simplify]: Simplify (/ 1 1) into 1
6.388 * [backup-simplify]: Simplify (+ 0 1) into 1
6.388 * [backup-simplify]: Simplify (sqrt 1) into 1
6.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.390 * [backup-simplify]: Simplify (+ 0 0) into 0
6.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.391 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.391 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.391 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.391 * [taylor]: Taking taylor expansion of 4 in x
6.391 * [backup-simplify]: Simplify 4 into 4
6.391 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.391 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.391 * [taylor]: Taking taylor expansion of p in x
6.391 * [backup-simplify]: Simplify p into p
6.391 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.391 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.391 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.391 * [taylor]: Taking taylor expansion of x in x
6.392 * [backup-simplify]: Simplify 0 into 0
6.392 * [backup-simplify]: Simplify 1 into 1
6.392 * [backup-simplify]: Simplify (* 1 1) into 1
6.392 * [backup-simplify]: Simplify (/ 1 1) into 1
6.393 * [backup-simplify]: Simplify (+ 0 1) into 1
6.393 * [backup-simplify]: Simplify (sqrt 1) into 1
6.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.395 * [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 1 in p
6.396 * [backup-simplify]: Simplify 1 into 1
6.396 * [taylor]: Taking taylor expansion of 0 in p
6.396 * [backup-simplify]: Simplify 0 into 0
6.396 * [backup-simplify]: Simplify 1 into 1
6.396 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
6.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.398 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
6.400 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
6.400 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
6.400 * [taylor]: Taking taylor expansion of 2 in p
6.400 * [backup-simplify]: Simplify 2 into 2
6.400 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.400 * [taylor]: Taking taylor expansion of p in p
6.400 * [backup-simplify]: Simplify 0 into 0
6.400 * [backup-simplify]: Simplify 1 into 1
6.400 * [backup-simplify]: Simplify (* 1 1) into 1
6.401 * [backup-simplify]: Simplify (/ 2 1) into 2
6.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
6.402 * [backup-simplify]: Simplify 0 into 0
6.402 * [backup-simplify]: Simplify 0 into 0
6.402 * [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
6.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.406 * [backup-simplify]: Simplify (+ 0 0) into 0
6.407 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
6.407 * [taylor]: Taking taylor expansion of 0 in p
6.407 * [backup-simplify]: Simplify 0 into 0
6.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.409 * [backup-simplify]: Simplify 0 into 0
6.409 * [backup-simplify]: Simplify 0 into 0
6.409 * [backup-simplify]: Simplify 0 into 0
6.409 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
6.409 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4 (/ 1 (- p))) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
6.409 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
6.409 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
6.409 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
6.409 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
6.409 * [taylor]: Taking taylor expansion of 4 in p
6.410 * [backup-simplify]: Simplify 4 into 4
6.410 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
6.410 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.410 * [taylor]: Taking taylor expansion of p in p
6.410 * [backup-simplify]: Simplify 0 into 0
6.410 * [backup-simplify]: Simplify 1 into 1
6.410 * [backup-simplify]: Simplify (* 1 1) into 1
6.410 * [backup-simplify]: Simplify (/ 1 1) into 1
6.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
6.410 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.411 * [taylor]: Taking taylor expansion of x in p
6.411 * [backup-simplify]: Simplify x into x
6.411 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.411 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.411 * [backup-simplify]: Simplify (* 4 1) into 4
6.412 * [backup-simplify]: Simplify (+ 4 0) into 4
6.412 * [backup-simplify]: Simplify (sqrt 4) into 2
6.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.414 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
6.414 * [backup-simplify]: Simplify (+ 0 0) into 0
6.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
6.415 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.416 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.416 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.416 * [taylor]: Taking taylor expansion of 4 in x
6.416 * [backup-simplify]: Simplify 4 into 4
6.416 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.416 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.416 * [taylor]: Taking taylor expansion of p in x
6.416 * [backup-simplify]: Simplify p into p
6.416 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.416 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.416 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.416 * [taylor]: Taking taylor expansion of x in x
6.416 * [backup-simplify]: Simplify 0 into 0
6.416 * [backup-simplify]: Simplify 1 into 1
6.416 * [backup-simplify]: Simplify (* 1 1) into 1
6.417 * [backup-simplify]: Simplify (/ 1 1) into 1
6.417 * [backup-simplify]: Simplify (+ 0 1) into 1
6.418 * [backup-simplify]: Simplify (sqrt 1) into 1
6.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.419 * [backup-simplify]: Simplify (+ 0 0) into 0
6.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.420 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.420 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.420 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.420 * [taylor]: Taking taylor expansion of 4 in x
6.420 * [backup-simplify]: Simplify 4 into 4
6.420 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.420 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.420 * [taylor]: Taking taylor expansion of p in x
6.420 * [backup-simplify]: Simplify p into p
6.420 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.420 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.421 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.421 * [taylor]: Taking taylor expansion of x in x
6.421 * [backup-simplify]: Simplify 0 into 0
6.421 * [backup-simplify]: Simplify 1 into 1
6.421 * [backup-simplify]: Simplify (* 1 1) into 1
6.421 * [backup-simplify]: Simplify (/ 1 1) into 1
6.422 * [backup-simplify]: Simplify (+ 0 1) into 1
6.422 * [backup-simplify]: Simplify (sqrt 1) into 1
6.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.424 * [backup-simplify]: Simplify (+ 0 0) into 0
6.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.425 * [taylor]: Taking taylor expansion of 1 in p
6.425 * [backup-simplify]: Simplify 1 into 1
6.425 * [taylor]: Taking taylor expansion of 0 in p
6.425 * [backup-simplify]: Simplify 0 into 0
6.425 * [backup-simplify]: Simplify 1 into 1
6.425 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
6.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.427 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
6.428 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
6.428 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
6.428 * [taylor]: Taking taylor expansion of 2 in p
6.428 * [backup-simplify]: Simplify 2 into 2
6.428 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.428 * [taylor]: Taking taylor expansion of p in p
6.428 * [backup-simplify]: Simplify 0 into 0
6.428 * [backup-simplify]: Simplify 1 into 1
6.428 * [backup-simplify]: Simplify (* 1 1) into 1
6.429 * [backup-simplify]: Simplify (/ 2 1) into 2
6.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
6.430 * [backup-simplify]: Simplify 0 into 0
6.430 * [backup-simplify]: Simplify 0 into 0
6.430 * [backup-simplify]: Simplify 0 into 0
6.431 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
6.431 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
6.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.434 * [backup-simplify]: Simplify (+ 0 0) into 0
6.434 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
6.434 * [taylor]: Taking taylor expansion of 0 in p
6.434 * [backup-simplify]: Simplify 0 into 0
6.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.436 * [backup-simplify]: Simplify 0 into 0
6.436 * [backup-simplify]: Simplify 0 into 0
6.436 * [backup-simplify]: Simplify 0 into 0
6.436 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
6.436 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 2 2)
6.437 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* 4 p) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
6.437 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
6.437 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
6.437 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
6.437 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.437 * [taylor]: Taking taylor expansion of x in p
6.437 * [backup-simplify]: Simplify x into x
6.437 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
6.437 * [taylor]: Taking taylor expansion of 4 in p
6.437 * [backup-simplify]: Simplify 4 into 4
6.437 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.437 * [taylor]: Taking taylor expansion of p in p
6.437 * [backup-simplify]: Simplify 0 into 0
6.437 * [backup-simplify]: Simplify 1 into 1
6.437 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.437 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
6.437 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
6.437 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
6.438 * [backup-simplify]: Simplify (+ 0 0) into 0
6.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
6.438 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
6.438 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
6.438 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.438 * [taylor]: Taking taylor expansion of x in x
6.438 * [backup-simplify]: Simplify 0 into 0
6.438 * [backup-simplify]: Simplify 1 into 1
6.438 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
6.438 * [taylor]: Taking taylor expansion of 4 in x
6.438 * [backup-simplify]: Simplify 4 into 4
6.438 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.438 * [taylor]: Taking taylor expansion of p in x
6.438 * [backup-simplify]: Simplify p into p
6.438 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.438 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
6.439 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
6.439 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
6.439 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.439 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
6.440 * [backup-simplify]: Simplify (+ 0 0) into 0
6.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
6.440 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
6.440 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
6.440 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.440 * [taylor]: Taking taylor expansion of x in x
6.440 * [backup-simplify]: Simplify 0 into 0
6.440 * [backup-simplify]: Simplify 1 into 1
6.440 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
6.440 * [taylor]: Taking taylor expansion of 4 in x
6.440 * [backup-simplify]: Simplify 4 into 4
6.440 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.440 * [taylor]: Taking taylor expansion of p in x
6.440 * [backup-simplify]: Simplify p into p
6.440 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.440 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
6.440 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
6.440 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
6.441 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.441 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
6.441 * [backup-simplify]: Simplify (+ 0 0) into 0
6.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
6.442 * [taylor]: Taking taylor expansion of (* 2 p) in p
6.442 * [taylor]: Taking taylor expansion of 2 in p
6.442 * [backup-simplify]: Simplify 2 into 2
6.442 * [taylor]: Taking taylor expansion of p in p
6.442 * [backup-simplify]: Simplify 0 into 0
6.442 * [backup-simplify]: Simplify 1 into 1
6.442 * [backup-simplify]: Simplify (* 2 0) into 0
6.442 * [backup-simplify]: Simplify 0 into 0
6.442 * [taylor]: Taking taylor expansion of 0 in p
6.442 * [backup-simplify]: Simplify 0 into 0
6.442 * [backup-simplify]: Simplify 0 into 0
6.443 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
6.443 * [backup-simplify]: Simplify 2 into 2
6.444 * [backup-simplify]: Simplify (* 1 1) into 1
6.444 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
6.445 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
6.445 * [backup-simplify]: Simplify (+ 1 0) into 1
6.446 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
6.446 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
6.446 * [taylor]: Taking taylor expansion of 1/4 in p
6.446 * [backup-simplify]: Simplify 1/4 into 1/4
6.446 * [taylor]: Taking taylor expansion of p in p
6.446 * [backup-simplify]: Simplify 0 into 0
6.446 * [backup-simplify]: Simplify 1 into 1
6.447 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
6.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
6.447 * [backup-simplify]: Simplify 0 into 0
6.448 * [backup-simplify]: Simplify 0 into 0
6.449 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
6.449 * [backup-simplify]: Simplify 0 into 0
6.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.450 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
6.451 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
6.452 * [backup-simplify]: Simplify (+ 0 0) into 0
6.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
6.452 * [taylor]: Taking taylor expansion of 0 in p
6.452 * [backup-simplify]: Simplify 0 into 0
6.452 * [backup-simplify]: Simplify 0 into 0
6.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.459 * [backup-simplify]: Simplify 0 into 0
6.459 * [backup-simplify]: Simplify 0 into 0
6.459 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
6.459 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* 4 (/ 1 p)) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
6.459 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
6.459 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
6.459 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
6.459 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
6.459 * [taylor]: Taking taylor expansion of 4 in p
6.459 * [backup-simplify]: Simplify 4 into 4
6.459 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
6.459 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.459 * [taylor]: Taking taylor expansion of p in p
6.459 * [backup-simplify]: Simplify 0 into 0
6.459 * [backup-simplify]: Simplify 1 into 1
6.460 * [backup-simplify]: Simplify (* 1 1) into 1
6.461 * [backup-simplify]: Simplify (/ 1 1) into 1
6.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
6.461 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.461 * [taylor]: Taking taylor expansion of x in p
6.461 * [backup-simplify]: Simplify x into x
6.461 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.461 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.461 * [backup-simplify]: Simplify (* 4 1) into 4
6.462 * [backup-simplify]: Simplify (+ 4 0) into 4
6.462 * [backup-simplify]: Simplify (sqrt 4) into 2
6.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.464 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
6.465 * [backup-simplify]: Simplify (+ 0 0) into 0
6.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
6.465 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.465 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.465 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.465 * [taylor]: Taking taylor expansion of 4 in x
6.465 * [backup-simplify]: Simplify 4 into 4
6.465 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.465 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.465 * [taylor]: Taking taylor expansion of p in x
6.466 * [backup-simplify]: Simplify p into p
6.466 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.466 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.466 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.466 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.466 * [taylor]: Taking taylor expansion of x in x
6.466 * [backup-simplify]: Simplify 0 into 0
6.466 * [backup-simplify]: Simplify 1 into 1
6.466 * [backup-simplify]: Simplify (* 1 1) into 1
6.467 * [backup-simplify]: Simplify (/ 1 1) into 1
6.467 * [backup-simplify]: Simplify (+ 0 1) into 1
6.467 * [backup-simplify]: Simplify (sqrt 1) into 1
6.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.469 * [backup-simplify]: Simplify (+ 0 0) into 0
6.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.470 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.470 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.470 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.470 * [taylor]: Taking taylor expansion of 4 in x
6.470 * [backup-simplify]: Simplify 4 into 4
6.470 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.470 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.470 * [taylor]: Taking taylor expansion of p in x
6.470 * [backup-simplify]: Simplify p into p
6.470 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.470 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.470 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.470 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.470 * [taylor]: Taking taylor expansion of x in x
6.470 * [backup-simplify]: Simplify 0 into 0
6.470 * [backup-simplify]: Simplify 1 into 1
6.471 * [backup-simplify]: Simplify (* 1 1) into 1
6.471 * [backup-simplify]: Simplify (/ 1 1) into 1
6.471 * [backup-simplify]: Simplify (+ 0 1) into 1
6.472 * [backup-simplify]: Simplify (sqrt 1) into 1
6.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.474 * [backup-simplify]: Simplify (+ 0 0) into 0
6.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.474 * [taylor]: Taking taylor expansion of 1 in p
6.474 * [backup-simplify]: Simplify 1 into 1
6.474 * [taylor]: Taking taylor expansion of 0 in p
6.475 * [backup-simplify]: Simplify 0 into 0
6.475 * [backup-simplify]: Simplify 1 into 1
6.475 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
6.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.477 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
6.478 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
6.478 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
6.478 * [taylor]: Taking taylor expansion of 2 in p
6.478 * [backup-simplify]: Simplify 2 into 2
6.478 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.478 * [taylor]: Taking taylor expansion of p in p
6.478 * [backup-simplify]: Simplify 0 into 0
6.478 * [backup-simplify]: Simplify 1 into 1
6.478 * [backup-simplify]: Simplify (* 1 1) into 1
6.479 * [backup-simplify]: Simplify (/ 2 1) into 2
6.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
6.480 * [backup-simplify]: Simplify 0 into 0
6.480 * [backup-simplify]: Simplify 0 into 0
6.480 * [backup-simplify]: Simplify 0 into 0
6.480 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
6.480 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
6.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.482 * [backup-simplify]: Simplify (+ 0 0) into 0
6.482 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
6.482 * [taylor]: Taking taylor expansion of 0 in p
6.482 * [backup-simplify]: Simplify 0 into 0
6.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.483 * [backup-simplify]: Simplify 0 into 0
6.483 * [backup-simplify]: Simplify 0 into 0
6.483 * [backup-simplify]: Simplify 0 into 0
6.483 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
6.484 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4 (/ 1 (- p))) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
6.484 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
6.484 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
6.484 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
6.484 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
6.484 * [taylor]: Taking taylor expansion of 4 in p
6.484 * [backup-simplify]: Simplify 4 into 4
6.484 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
6.484 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.484 * [taylor]: Taking taylor expansion of p in p
6.484 * [backup-simplify]: Simplify 0 into 0
6.484 * [backup-simplify]: Simplify 1 into 1
6.484 * [backup-simplify]: Simplify (* 1 1) into 1
6.484 * [backup-simplify]: Simplify (/ 1 1) into 1
6.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
6.484 * [taylor]: Taking taylor expansion of (pow x 2) in p
6.484 * [taylor]: Taking taylor expansion of x in p
6.484 * [backup-simplify]: Simplify x into x
6.484 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.484 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.485 * [backup-simplify]: Simplify (* 4 1) into 4
6.485 * [backup-simplify]: Simplify (+ 4 0) into 4
6.485 * [backup-simplify]: Simplify (sqrt 4) into 2
6.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.486 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
6.487 * [backup-simplify]: Simplify (+ 0 0) into 0
6.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
6.487 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.487 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.487 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.487 * [taylor]: Taking taylor expansion of 4 in x
6.487 * [backup-simplify]: Simplify 4 into 4
6.487 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.487 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.487 * [taylor]: Taking taylor expansion of p in x
6.487 * [backup-simplify]: Simplify p into p
6.487 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.487 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.488 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.488 * [taylor]: Taking taylor expansion of x in x
6.488 * [backup-simplify]: Simplify 0 into 0
6.488 * [backup-simplify]: Simplify 1 into 1
6.488 * [backup-simplify]: Simplify (* 1 1) into 1
6.488 * [backup-simplify]: Simplify (/ 1 1) into 1
6.488 * [backup-simplify]: Simplify (+ 0 1) into 1
6.489 * [backup-simplify]: Simplify (sqrt 1) into 1
6.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.490 * [backup-simplify]: Simplify (+ 0 0) into 0
6.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.490 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
6.490 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
6.490 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
6.490 * [taylor]: Taking taylor expansion of 4 in x
6.490 * [backup-simplify]: Simplify 4 into 4
6.490 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
6.490 * [taylor]: Taking taylor expansion of (pow p 2) in x
6.490 * [taylor]: Taking taylor expansion of p in x
6.490 * [backup-simplify]: Simplify p into p
6.490 * [backup-simplify]: Simplify (* p p) into (pow p 2)
6.490 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
6.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.490 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.490 * [taylor]: Taking taylor expansion of x in x
6.490 * [backup-simplify]: Simplify 0 into 0
6.490 * [backup-simplify]: Simplify 1 into 1
6.491 * [backup-simplify]: Simplify (* 1 1) into 1
6.491 * [backup-simplify]: Simplify (/ 1 1) into 1
6.491 * [backup-simplify]: Simplify (+ 0 1) into 1
6.491 * [backup-simplify]: Simplify (sqrt 1) into 1
6.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.492 * [backup-simplify]: Simplify (+ 0 0) into 0
6.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.493 * [taylor]: Taking taylor expansion of 1 in p
6.493 * [backup-simplify]: Simplify 1 into 1
6.493 * [taylor]: Taking taylor expansion of 0 in p
6.493 * [backup-simplify]: Simplify 0 into 0
6.493 * [backup-simplify]: Simplify 1 into 1
6.493 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
6.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.494 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
6.495 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
6.495 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
6.495 * [taylor]: Taking taylor expansion of 2 in p
6.495 * [backup-simplify]: Simplify 2 into 2
6.495 * [taylor]: Taking taylor expansion of (pow p 2) in p
6.495 * [taylor]: Taking taylor expansion of p in p
6.495 * [backup-simplify]: Simplify 0 into 0
6.495 * [backup-simplify]: Simplify 1 into 1
6.495 * [backup-simplify]: Simplify (* 1 1) into 1
6.496 * [backup-simplify]: Simplify (/ 2 1) into 2
6.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
6.497 * [backup-simplify]: Simplify 0 into 0
6.497 * [backup-simplify]: Simplify 0 into 0
6.497 * [backup-simplify]: Simplify 0 into 0
6.497 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
6.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
6.497 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
6.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.499 * [backup-simplify]: Simplify (+ 0 0) into 0
6.499 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
6.499 * [taylor]: Taking taylor expansion of 0 in p
6.499 * [backup-simplify]: Simplify 0 into 0
6.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.501 * [backup-simplify]: Simplify 0 into 0
6.501 * [backup-simplify]: Simplify 0 into 0
6.501 * [backup-simplify]: Simplify 0 into 0
6.501 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
6.501 * * * [progress]: simplifying candidates
6.501 * * * * [progress]: [ 1 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (pow (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) 1/3) 0.5)))>
6.501 * * * * [progress]: [ 2 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (pow (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 1) 0.5)))>
6.501 * * * * [progress]: [ 3 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (exp (log (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))))) 0.5)))>
6.501 * * * * [progress]: [ 4 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (log (exp (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))))) 0.5)))>
6.501 * * * * [progress]: [ 5 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (cbrt (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) (cbrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.501 * * * * [progress]: [ 6 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (cbrt (* (* (* 0.5 x) (* 0.5 x)) (* 0.5 x))) (cbrt (* (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
6.501 * * * * [progress]: [ 7 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 x)) (* 0.5 x))) (cbrt (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
6.501 * * * * [progress]: [ 8 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (cbrt (* (* (* 0.5 x) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 x))) (cbrt (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
6.501 * * * * [progress]: [ 9 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 x))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)))>
6.501 * * * * [progress]: [ 10 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (cbrt (* (* (* 0.5 x) (* 0.5 x)) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) (cbrt (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))))) 0.5)))>
6.502 * * * * [progress]: [ 11 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 x)) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)))>
6.502 * * * * [progress]: [ 12 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (/ (cbrt (* (* (* 0.5 x) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)))>
6.502 * * * * [progress]: [ 13 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (* (cbrt (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))))) (cbrt (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))))) (cbrt (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))))) 0.5)))>
6.502 * * * * [progress]: [ 14 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))))) (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))))) 0.5)))>
6.502 * * * * [progress]: [ 15 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5)))>
6.502 * * * * [progress]: [ 16 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* (sqrt (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))))) (sqrt (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))))) 0.5)))>
6.502 * * * * [progress]: [ 17 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (* 1 (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))))) 0.5)))>
6.502 * * * * [progress]: [ 18 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (posit16->real (real->posit16 (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))))) 0.5)))>
6.502 * * * * [progress]: [ 19 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (pow (+ (* x x) (* (* 4 p) p)) 1/2))))) 0.5)))>
6.502 * * * * [progress]: [ 20 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (pow (sqrt (+ (* x x) (* (* 4 p) p))) 1))))) 0.5)))>
6.502 * * * * [progress]: [ 21 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (exp (log (sqrt (+ (* x x) (* (* 4 p) p))))))))) 0.5)))>
6.502 * * * * [progress]: [ 22 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (log (exp (sqrt (+ (* x x) (* (* 4 p) p))))))))) 0.5)))>
6.502 * * * * [progress]: [ 23 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (* (* (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))))))) 0.5)))>
6.502 * * * * [progress]: [ 24 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (cbrt (* (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p))))))))) 0.5)))>
6.502 * * * * [progress]: [ 25 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (* (sqrt (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p))))) (sqrt (cbrt (+ (* x x) (* (* 4 p) p))))))))) 0.5)))>
6.502 * * * * [progress]: [ 26 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))))))) 0.5)))>
6.502 * * * * [progress]: [ 27 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (* (sqrt 1) (sqrt (+ (* x x) (* (* 4 p) p)))))))) 0.5)))>
6.502 * * * * [progress]: [ 28 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (/ (sqrt (+ (pow (* x x) 3) (pow (* (* 4 p) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* 4 p) p) (* (* 4 p) p)) (* (* x x) (* (* 4 p) p)))))))))) 0.5)))>
6.502 * * * * [progress]: [ 29 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (/ (sqrt (- (* (* x x) (* x x)) (* (* (* 4 p) p) (* (* 4 p) p)))) (sqrt (- (* x x) (* (* 4 p) p)))))))) 0.5)))>
6.502 * * * * [progress]: [ 30 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (pow (+ (* x x) (* (* 4 p) p)) (/ 1 2)))))) 0.5)))>
6.502 * * * * [progress]: [ 31 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))))))) 0.5)))>
6.503 * * * * [progress]: [ 32 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (fabs (sqrt (+ (* x x) (* (* 4 p) p)))))))) 0.5)))>
6.503 * * * * [progress]: [ 33 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (* 1 (sqrt (+ (* x x) (* (* 4 p) p)))))))) 0.5)))>
6.503 * * * * [progress]: [ 34 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* 4 p) p))))))))) 0.5)))>
6.503 * * * * [progress]: [ 35 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (pow (+ (* x x) (* (* 4 p) p)) 1/2)))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.503 * * * * [progress]: [ 36 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (pow (sqrt (+ (* x x) (* (* 4 p) p))) 1)))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.503 * * * * [progress]: [ 37 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (exp (log (sqrt (+ (* x x) (* (* 4 p) p)))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.503 * * * * [progress]: [ 38 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (log (exp (sqrt (+ (* x x) (* (* 4 p) p)))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.503 * * * * [progress]: [ 39 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (* (* (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.503 * * * * [progress]: [ 40 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (cbrt (* (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p)))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.503 * * * * [progress]: [ 41 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (* (sqrt (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p))))) (sqrt (cbrt (+ (* x x) (* (* 4 p) p)))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.503 * * * * [progress]: [ 42 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.503 * * * * [progress]: [ 43 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (* (sqrt 1) (sqrt (+ (* x x) (* (* 4 p) p))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.503 * * * * [progress]: [ 44 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (/ (sqrt (+ (pow (* x x) 3) (pow (* (* 4 p) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* 4 p) p) (* (* 4 p) p)) (* (* x x) (* (* 4 p) p))))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.503 * * * * [progress]: [ 45 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (/ (sqrt (- (* (* x x) (* x x)) (* (* (* 4 p) p) (* (* 4 p) p)))) (sqrt (- (* x x) (* (* 4 p) p))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.503 * * * * [progress]: [ 46 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (pow (+ (* x x) (* (* 4 p) p)) (/ 1 2))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.503 * * * * [progress]: [ 47 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.503 * * * * [progress]: [ 48 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (fabs (sqrt (+ (* x x) (* (* 4 p) p))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.503 * * * * [progress]: [ 49 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (* 1 (sqrt (+ (* x x) (* (* 4 p) p))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.503 * * * * [progress]: [ 50 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* 4 p) p)))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.503 * * * * [progress]: [ 51 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (pow (+ (* x x) (* (* 4 p) p)) 1/2))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.503 * * * * [progress]: [ 52 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (pow (sqrt (+ (* x x) (* (* 4 p) p))) 1))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.504 * * * * [progress]: [ 53 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (exp (log (sqrt (+ (* x x) (* (* 4 p) p))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.504 * * * * [progress]: [ 54 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (log (exp (sqrt (+ (* x x) (* (* 4 p) p))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.504 * * * * [progress]: [ 55 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (* (* (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.504 * * * * [progress]: [ 56 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (cbrt (* (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.504 * * * * [progress]: [ 57 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (* (sqrt (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p))))) (sqrt (cbrt (+ (* x x) (* (* 4 p) p))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.504 * * * * [progress]: [ 58 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.504 * * * * [progress]: [ 59 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (* (sqrt 1) (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.504 * * * * [progress]: [ 60 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (/ (sqrt (+ (pow (* x x) 3) (pow (* (* 4 p) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* 4 p) p) (* (* 4 p) p)) (* (* x x) (* (* 4 p) p)))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.504 * * * * [progress]: [ 61 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (/ (sqrt (- (* (* x x) (* x x)) (* (* (* 4 p) p) (* (* 4 p) p)))) (sqrt (- (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.504 * * * * [progress]: [ 62 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (pow (+ (* x x) (* (* 4 p) p)) (/ 1 2)))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.504 * * * * [progress]: [ 63 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (* (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.504 * * * * [progress]: [ 64 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (fabs (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.504 * * * * [progress]: [ 65 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (* 1 (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.504 * * * * [progress]: [ 66 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* 4 p) p))))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.504 * * * * [progress]: [ 67 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0 0.5)))>
6.504 * * * * [progress]: [ 68 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0 0.5)))>
6.504 * * * * [progress]: [ 69 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ 0 0.5)))>
6.504 * * * * [progress]: [ 70 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (* 2 p))))) 0.5)))>
6.504 * * * * [progress]: [ 71 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x x)))) 0.5)))>
6.504 * * * * [progress]: [ 72 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (* -1 x))))) 0.5)))>
6.504 * * * * [progress]: [ 73 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (* 2 p)))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.504 * * * * [progress]: [ 74 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x x))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.504 * * * * [progress]: [ 75 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (* -1 x)))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.504 * * * * [progress]: [ 76 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (* 2 p))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.505 * * * * [progress]: [ 77 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x x)) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.505 * * * * [progress]: [ 78 / 78 ] simplifiying candidate #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (* -1 x))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))>
6.505 * [simplify]: Simplifying:
  (log (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))))
  (exp (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))))
  (cbrt (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))))
  (cbrt (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))
  (cbrt (* (* (* 0.5 x) (* 0.5 x)) (* 0.5 x)))
  (cbrt (* (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p)))))
  (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 x)) (* 0.5 x)))
  (cbrt (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))))
  (cbrt (* (* (* 0.5 x) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 x)))
  (cbrt (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))))
  (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 x)))
  (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (cbrt (* (* (* 0.5 x) (* 0.5 x)) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))))
  (cbrt (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))))
  (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 x)) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))))
  (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (cbrt (* (* (* 0.5 x) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))))
  (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (* (cbrt (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))))) (cbrt (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))))))
  (cbrt (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))))
  (* (* (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))))) (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))))
  (sqrt (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))))
  (sqrt (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))))
  (real->posit16 (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))))
  (log (sqrt (+ (* x x) (* (* 4 p) p))))
  (exp (sqrt (+ (* x x) (* (* 4 p) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))))
  (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (* (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p)))))
  (sqrt (cbrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* 4 p) p)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* 4 p) p) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* 4 p) p) (* (* 4 p) p)) (* (* x x) (* (* 4 p) p)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* 4 p) p) (* (* 4 p) p))))
  (sqrt (- (* x x) (* (* 4 p) p)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* 4 p) p))))
  (log (sqrt (+ (* x x) (* (* 4 p) p))))
  (exp (sqrt (+ (* x x) (* (* 4 p) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))))
  (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (* (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p)))))
  (sqrt (cbrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* 4 p) p)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* 4 p) p) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* 4 p) p) (* (* 4 p) p)) (* (* x x) (* (* 4 p) p)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* 4 p) p) (* (* 4 p) p))))
  (sqrt (- (* x x) (* (* 4 p) p)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* 4 p) p))))
  (log (sqrt (+ (* x x) (* (* 4 p) p))))
  (exp (sqrt (+ (* x x) (* (* 4 p) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))))
  (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (* (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p)))))
  (sqrt (cbrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* 4 p) p)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* 4 p) p) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* 4 p) p) (* (* 4 p) p)) (* (* x x) (* (* 4 p) p)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* 4 p) p) (* (* 4 p) p))))
  (sqrt (- (* x x) (* (* 4 p) p)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* 4 p) p))))
  0
  0
  0
  (* 2 p)
  x
  (* -1 x)
  (* 2 p)
  x
  (* -1 x)
  (* 2 p)
  x
  (* -1 x)
6.507 * * [simplify]: iteration 1: (79 enodes)
6.522 * * [simplify]: iteration 2: (176 enodes)
6.583 * * [simplify]: iteration 3: (441 enodes)
6.827 * * [simplify]: iteration 4: (1130 enodes)
7.714 * * [simplify]: Extracting #0: cost 32 inf + 0
7.714 * * [simplify]: Extracting #1: cost 214 inf + 4
7.716 * * [simplify]: Extracting #2: cost 334 inf + 1178
7.719 * * [simplify]: Extracting #3: cost 453 inf + 4167
7.740 * * [simplify]: Extracting #4: cost 259 inf + 75278
7.781 * * [simplify]: Extracting #5: cost 23 inf + 150647
7.838 * * [simplify]: Extracting #6: cost 8 inf + 155236
7.881 * * [simplify]: Extracting #7: cost 0 inf + 159594
7.930 * [simplify]: Simplified to:
  (log (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) 0.5))
  (exp (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) 0.5))
  (cbrt (/ 0.5 (/ (+ (* x x) (* (* p p) 4)) (* 0.5 (* x x)))))
  (cbrt (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) 0.5))
  (* 0.5 x)
  (sqrt (+ (* x x) (* (* p p) 4)))
  (cbrt (/ (* (* 0.5 x) (* (* 0.5 x) (* 0.5 x))) (sqrt (+ (* x x) (* (* p p) 4)))))
  (cbrt (+ (* x x) (* (* p p) 4)))
  (cbrt (/ (* (* 0.5 x) (* (* 0.5 x) (* 0.5 x))) (sqrt (+ (* x x) (* (* p p) 4)))))
  (cbrt (+ (* x x) (* (* p p) 4)))
  (cbrt (/ (* (* 0.5 x) (* (* 0.5 x) (* 0.5 x))) (+ (* x x) (* (* p p) 4))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4))))
  (cbrt (/ (* (* 0.5 x) (* (* 0.5 x) (* 0.5 x))) (sqrt (+ (* x x) (* (* p p) 4)))))
  (cbrt (+ (* x x) (* (* p p) 4)))
  (cbrt (/ (* (* 0.5 x) (* (* 0.5 x) (* 0.5 x))) (+ (* x x) (* (* p p) 4))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4))))
  (cbrt (/ (* (* 0.5 x) (* (* 0.5 x) (* 0.5 x))) (+ (* x x) (* (* p p) 4))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4))))
  (* (cbrt (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) 0.5)) (cbrt (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) 0.5)))
  (cbrt (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) 0.5))
  (/ (/ (* (* 0.5 x) (* (* 0.5 x) (* 0.5 x))) (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) 0.5))
  (sqrt (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) 0.5))
  (real->posit16 (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) 0.5))
  (log (sqrt (+ (* x x) (* (* p p) 4))))
  (exp (sqrt (+ (* x x) (* (* p p) 4))))
  (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4))))
  (* (sqrt (+ (* x x) (* (* p p) 4))) (+ (* x x) (* (* p p) 4)))
  (fabs (cbrt (+ (* x x) (* (* p p) 4))))
  (sqrt (cbrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  1
  (sqrt (+ (* x x) (* (* p p) 4)))
  (sqrt (+ (* (* (* (* p p) 4) (* (* p p) 4)) (* (* p p) 4)) (* (* (* x x) x) (* (* x x) x))))
  (sqrt (+ (* (* (* p p) 4) (- (* (* p p) 4) (* x x))) (* (* x x) (* x x))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4))))
  (sqrt (- (* x x) (* (* p p) 4)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (real->posit16 (sqrt (+ (* x x) (* (* p p) 4))))
  (log (sqrt (+ (* x x) (* (* p p) 4))))
  (exp (sqrt (+ (* x x) (* (* p p) 4))))
  (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4))))
  (* (sqrt (+ (* x x) (* (* p p) 4))) (+ (* x x) (* (* p p) 4)))
  (fabs (cbrt (+ (* x x) (* (* p p) 4))))
  (sqrt (cbrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  1
  (sqrt (+ (* x x) (* (* p p) 4)))
  (sqrt (+ (* (* (* (* p p) 4) (* (* p p) 4)) (* (* p p) 4)) (* (* (* x x) x) (* (* x x) x))))
  (sqrt (+ (* (* (* p p) 4) (- (* (* p p) 4) (* x x))) (* (* x x) (* x x))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4))))
  (sqrt (- (* x x) (* (* p p) 4)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (real->posit16 (sqrt (+ (* x x) (* (* p p) 4))))
  (log (sqrt (+ (* x x) (* (* p p) 4))))
  (exp (sqrt (+ (* x x) (* (* p p) 4))))
  (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))
  (cbrt (sqrt (+ (* x x) (* (* p p) 4))))
  (* (sqrt (+ (* x x) (* (* p p) 4))) (+ (* x x) (* (* p p) 4)))
  (fabs (cbrt (+ (* x x) (* (* p p) 4))))
  (sqrt (cbrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  1
  (sqrt (+ (* x x) (* (* p p) 4)))
  (sqrt (+ (* (* (* (* p p) 4) (* (* p p) 4)) (* (* p p) 4)) (* (* (* x x) x) (* (* x x) x))))
  (sqrt (+ (* (* (* p p) 4) (- (* (* p p) 4) (* x x))) (* (* x x) (* x x))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4))))
  (sqrt (- (* x x) (* (* p p) 4)))
  1/2
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (sqrt (sqrt (+ (* x x) (* (* p p) 4))))
  (real->posit16 (sqrt (+ (* x x) (* (* p p) 4))))
  0
  0
  0
  (* 2 p)
  x
  (- x)
  (* 2 p)
  x
  (- x)
  (* 2 p)
  x
  (- x)
7.942 * * * [progress]: adding candidates to table
8.394 * * [progress]: iteration 4 / 4
8.395 * * * [progress]: picking best candidate
8.399 * * * * [pick]: Picked  #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.399 * * * [progress]: localizing error
8.480 * * * [progress]: generating rewritten candidates
8.480 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2 2 2)
8.493 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 2)
8.499 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2)
8.505 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 1 1)
8.529 * * * [progress]: generating series expansions
8.529 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2 2 2)
8.529 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* 4 p) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
8.529 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
8.529 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
8.529 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
8.529 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.529 * [taylor]: Taking taylor expansion of x in p
8.530 * [backup-simplify]: Simplify x into x
8.530 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
8.530 * [taylor]: Taking taylor expansion of 4 in p
8.530 * [backup-simplify]: Simplify 4 into 4
8.530 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.530 * [taylor]: Taking taylor expansion of p in p
8.530 * [backup-simplify]: Simplify 0 into 0
8.530 * [backup-simplify]: Simplify 1 into 1
8.530 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.530 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.530 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
8.530 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.531 * [backup-simplify]: Simplify (+ 0 0) into 0
8.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
8.532 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
8.532 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
8.532 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.532 * [taylor]: Taking taylor expansion of x in x
8.532 * [backup-simplify]: Simplify 0 into 0
8.532 * [backup-simplify]: Simplify 1 into 1
8.532 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
8.532 * [taylor]: Taking taylor expansion of 4 in x
8.532 * [backup-simplify]: Simplify 4 into 4
8.532 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.532 * [taylor]: Taking taylor expansion of p in x
8.532 * [backup-simplify]: Simplify p into p
8.532 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.532 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
8.532 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
8.532 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
8.532 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
8.532 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
8.533 * [backup-simplify]: Simplify (+ 0 0) into 0
8.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
8.533 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
8.533 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
8.533 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.533 * [taylor]: Taking taylor expansion of x in x
8.533 * [backup-simplify]: Simplify 0 into 0
8.533 * [backup-simplify]: Simplify 1 into 1
8.533 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
8.533 * [taylor]: Taking taylor expansion of 4 in x
8.533 * [backup-simplify]: Simplify 4 into 4
8.533 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.533 * [taylor]: Taking taylor expansion of p in x
8.533 * [backup-simplify]: Simplify p into p
8.533 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.533 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
8.533 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
8.533 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
8.533 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
8.534 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
8.534 * [backup-simplify]: Simplify (+ 0 0) into 0
8.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
8.534 * [taylor]: Taking taylor expansion of (* 2 p) in p
8.534 * [taylor]: Taking taylor expansion of 2 in p
8.534 * [backup-simplify]: Simplify 2 into 2
8.534 * [taylor]: Taking taylor expansion of p in p
8.534 * [backup-simplify]: Simplify 0 into 0
8.534 * [backup-simplify]: Simplify 1 into 1
8.535 * [backup-simplify]: Simplify (* 2 0) into 0
8.535 * [backup-simplify]: Simplify 0 into 0
8.535 * [taylor]: Taking taylor expansion of 0 in p
8.535 * [backup-simplify]: Simplify 0 into 0
8.535 * [backup-simplify]: Simplify 0 into 0
8.535 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
8.535 * [backup-simplify]: Simplify 2 into 2
8.535 * [backup-simplify]: Simplify (* 1 1) into 1
8.536 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
8.536 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
8.537 * [backup-simplify]: Simplify (+ 1 0) into 1
8.537 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
8.537 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
8.537 * [taylor]: Taking taylor expansion of 1/4 in p
8.537 * [backup-simplify]: Simplify 1/4 into 1/4
8.537 * [taylor]: Taking taylor expansion of p in p
8.537 * [backup-simplify]: Simplify 0 into 0
8.537 * [backup-simplify]: Simplify 1 into 1
8.537 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
8.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
8.538 * [backup-simplify]: Simplify 0 into 0
8.538 * [backup-simplify]: Simplify 0 into 0
8.539 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
8.539 * [backup-simplify]: Simplify 0 into 0
8.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.539 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
8.540 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
8.540 * [backup-simplify]: Simplify (+ 0 0) into 0
8.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
8.541 * [taylor]: Taking taylor expansion of 0 in p
8.541 * [backup-simplify]: Simplify 0 into 0
8.541 * [backup-simplify]: Simplify 0 into 0
8.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.541 * [backup-simplify]: Simplify 0 into 0
8.541 * [backup-simplify]: Simplify 0 into 0
8.541 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
8.541 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* 4 (/ 1 p)) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
8.542 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
8.542 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.542 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.542 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.542 * [taylor]: Taking taylor expansion of 4 in p
8.542 * [backup-simplify]: Simplify 4 into 4
8.542 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.542 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.542 * [taylor]: Taking taylor expansion of p in p
8.542 * [backup-simplify]: Simplify 0 into 0
8.542 * [backup-simplify]: Simplify 1 into 1
8.542 * [backup-simplify]: Simplify (* 1 1) into 1
8.542 * [backup-simplify]: Simplify (/ 1 1) into 1
8.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.542 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.542 * [taylor]: Taking taylor expansion of x in p
8.542 * [backup-simplify]: Simplify x into x
8.542 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.542 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.543 * [backup-simplify]: Simplify (* 4 1) into 4
8.543 * [backup-simplify]: Simplify (+ 4 0) into 4
8.543 * [backup-simplify]: Simplify (sqrt 4) into 2
8.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.544 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.545 * [backup-simplify]: Simplify (+ 0 0) into 0
8.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
8.545 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.545 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.545 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.545 * [taylor]: Taking taylor expansion of 4 in x
8.545 * [backup-simplify]: Simplify 4 into 4
8.545 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.545 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.545 * [taylor]: Taking taylor expansion of p in x
8.545 * [backup-simplify]: Simplify p into p
8.545 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.545 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.545 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.545 * [taylor]: Taking taylor expansion of x in x
8.545 * [backup-simplify]: Simplify 0 into 0
8.545 * [backup-simplify]: Simplify 1 into 1
8.546 * [backup-simplify]: Simplify (* 1 1) into 1
8.546 * [backup-simplify]: Simplify (/ 1 1) into 1
8.546 * [backup-simplify]: Simplify (+ 0 1) into 1
8.546 * [backup-simplify]: Simplify (sqrt 1) into 1
8.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.547 * [backup-simplify]: Simplify (+ 0 0) into 0
8.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.548 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.548 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.548 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.548 * [taylor]: Taking taylor expansion of 4 in x
8.548 * [backup-simplify]: Simplify 4 into 4
8.548 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.548 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.548 * [taylor]: Taking taylor expansion of p in x
8.548 * [backup-simplify]: Simplify p into p
8.548 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.548 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.548 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.548 * [taylor]: Taking taylor expansion of x in x
8.548 * [backup-simplify]: Simplify 0 into 0
8.548 * [backup-simplify]: Simplify 1 into 1
8.548 * [backup-simplify]: Simplify (* 1 1) into 1
8.549 * [backup-simplify]: Simplify (/ 1 1) into 1
8.549 * [backup-simplify]: Simplify (+ 0 1) into 1
8.549 * [backup-simplify]: Simplify (sqrt 1) into 1
8.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.550 * [backup-simplify]: Simplify (+ 0 0) into 0
8.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.551 * [taylor]: Taking taylor expansion of 1 in p
8.551 * [backup-simplify]: Simplify 1 into 1
8.551 * [taylor]: Taking taylor expansion of 0 in p
8.551 * [backup-simplify]: Simplify 0 into 0
8.551 * [backup-simplify]: Simplify 1 into 1
8.551 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
8.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.552 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
8.553 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
8.553 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
8.553 * [taylor]: Taking taylor expansion of 2 in p
8.553 * [backup-simplify]: Simplify 2 into 2
8.553 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.553 * [taylor]: Taking taylor expansion of p in p
8.553 * [backup-simplify]: Simplify 0 into 0
8.553 * [backup-simplify]: Simplify 1 into 1
8.553 * [backup-simplify]: Simplify (* 1 1) into 1
8.554 * [backup-simplify]: Simplify (/ 2 1) into 2
8.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
8.555 * [backup-simplify]: Simplify 0 into 0
8.555 * [backup-simplify]: Simplify 0 into 0
8.555 * [backup-simplify]: Simplify 0 into 0
8.555 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
8.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
8.555 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
8.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.556 * [backup-simplify]: Simplify (+ 0 0) into 0
8.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
8.560 * [taylor]: Taking taylor expansion of 0 in p
8.560 * [backup-simplify]: Simplify 0 into 0
8.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.561 * [backup-simplify]: Simplify 0 into 0
8.562 * [backup-simplify]: Simplify 0 into 0
8.562 * [backup-simplify]: Simplify 0 into 0
8.562 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
8.562 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4 (/ 1 (- p))) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
8.562 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
8.562 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.562 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.562 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.562 * [taylor]: Taking taylor expansion of 4 in p
8.562 * [backup-simplify]: Simplify 4 into 4
8.562 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.562 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.562 * [taylor]: Taking taylor expansion of p in p
8.562 * [backup-simplify]: Simplify 0 into 0
8.562 * [backup-simplify]: Simplify 1 into 1
8.562 * [backup-simplify]: Simplify (* 1 1) into 1
8.563 * [backup-simplify]: Simplify (/ 1 1) into 1
8.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.563 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.563 * [taylor]: Taking taylor expansion of x in p
8.563 * [backup-simplify]: Simplify x into x
8.563 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.563 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.563 * [backup-simplify]: Simplify (* 4 1) into 4
8.563 * [backup-simplify]: Simplify (+ 4 0) into 4
8.564 * [backup-simplify]: Simplify (sqrt 4) into 2
8.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.565 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.565 * [backup-simplify]: Simplify (+ 0 0) into 0
8.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
8.566 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.566 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.566 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.566 * [taylor]: Taking taylor expansion of 4 in x
8.566 * [backup-simplify]: Simplify 4 into 4
8.566 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.566 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.566 * [taylor]: Taking taylor expansion of p in x
8.566 * [backup-simplify]: Simplify p into p
8.566 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.566 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.566 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.566 * [taylor]: Taking taylor expansion of x in x
8.566 * [backup-simplify]: Simplify 0 into 0
8.566 * [backup-simplify]: Simplify 1 into 1
8.566 * [backup-simplify]: Simplify (* 1 1) into 1
8.567 * [backup-simplify]: Simplify (/ 1 1) into 1
8.567 * [backup-simplify]: Simplify (+ 0 1) into 1
8.567 * [backup-simplify]: Simplify (sqrt 1) into 1
8.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.568 * [backup-simplify]: Simplify (+ 0 0) into 0
8.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.569 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.569 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.569 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.569 * [taylor]: Taking taylor expansion of 4 in x
8.569 * [backup-simplify]: Simplify 4 into 4
8.569 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.569 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.569 * [taylor]: Taking taylor expansion of p in x
8.569 * [backup-simplify]: Simplify p into p
8.569 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.569 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.569 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.569 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.569 * [taylor]: Taking taylor expansion of x in x
8.569 * [backup-simplify]: Simplify 0 into 0
8.569 * [backup-simplify]: Simplify 1 into 1
8.569 * [backup-simplify]: Simplify (* 1 1) into 1
8.570 * [backup-simplify]: Simplify (/ 1 1) into 1
8.570 * [backup-simplify]: Simplify (+ 0 1) into 1
8.570 * [backup-simplify]: Simplify (sqrt 1) into 1
8.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.571 * [backup-simplify]: Simplify (+ 0 0) into 0
8.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.572 * [taylor]: Taking taylor expansion of 1 in p
8.572 * [backup-simplify]: Simplify 1 into 1
8.572 * [taylor]: Taking taylor expansion of 0 in p
8.572 * [backup-simplify]: Simplify 0 into 0
8.572 * [backup-simplify]: Simplify 1 into 1
8.572 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
8.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.573 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
8.574 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
8.574 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
8.574 * [taylor]: Taking taylor expansion of 2 in p
8.574 * [backup-simplify]: Simplify 2 into 2
8.574 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.574 * [taylor]: Taking taylor expansion of p in p
8.574 * [backup-simplify]: Simplify 0 into 0
8.574 * [backup-simplify]: Simplify 1 into 1
8.574 * [backup-simplify]: Simplify (* 1 1) into 1
8.574 * [backup-simplify]: Simplify (/ 2 1) into 2
8.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
8.575 * [backup-simplify]: Simplify 0 into 0
8.575 * [backup-simplify]: Simplify 0 into 0
8.575 * [backup-simplify]: Simplify 0 into 0
8.576 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
8.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
8.576 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
8.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.577 * [backup-simplify]: Simplify (+ 0 0) into 0
8.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
8.578 * [taylor]: Taking taylor expansion of 0 in p
8.578 * [backup-simplify]: Simplify 0 into 0
8.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.579 * [backup-simplify]: Simplify 0 into 0
8.579 * [backup-simplify]: Simplify 0 into 0
8.579 * [backup-simplify]: Simplify 0 into 0
8.579 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
8.579 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 2)
8.579 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* 4 p) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
8.579 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
8.579 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
8.579 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
8.579 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.579 * [taylor]: Taking taylor expansion of x in p
8.579 * [backup-simplify]: Simplify x into x
8.579 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
8.579 * [taylor]: Taking taylor expansion of 4 in p
8.579 * [backup-simplify]: Simplify 4 into 4
8.580 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.580 * [taylor]: Taking taylor expansion of p in p
8.580 * [backup-simplify]: Simplify 0 into 0
8.580 * [backup-simplify]: Simplify 1 into 1
8.580 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.580 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.580 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
8.580 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.580 * [backup-simplify]: Simplify (+ 0 0) into 0
8.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
8.580 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
8.580 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
8.580 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.580 * [taylor]: Taking taylor expansion of x in x
8.580 * [backup-simplify]: Simplify 0 into 0
8.580 * [backup-simplify]: Simplify 1 into 1
8.580 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
8.580 * [taylor]: Taking taylor expansion of 4 in x
8.580 * [backup-simplify]: Simplify 4 into 4
8.580 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.580 * [taylor]: Taking taylor expansion of p in x
8.580 * [backup-simplify]: Simplify p into p
8.580 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.581 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
8.581 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
8.581 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
8.581 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
8.581 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
8.582 * [backup-simplify]: Simplify (+ 0 0) into 0
8.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
8.582 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
8.582 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
8.582 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.582 * [taylor]: Taking taylor expansion of x in x
8.582 * [backup-simplify]: Simplify 0 into 0
8.582 * [backup-simplify]: Simplify 1 into 1
8.582 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
8.582 * [taylor]: Taking taylor expansion of 4 in x
8.582 * [backup-simplify]: Simplify 4 into 4
8.582 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.582 * [taylor]: Taking taylor expansion of p in x
8.582 * [backup-simplify]: Simplify p into p
8.582 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.582 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
8.582 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
8.582 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
8.583 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
8.583 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
8.583 * [backup-simplify]: Simplify (+ 0 0) into 0
8.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
8.583 * [taylor]: Taking taylor expansion of (* 2 p) in p
8.583 * [taylor]: Taking taylor expansion of 2 in p
8.583 * [backup-simplify]: Simplify 2 into 2
8.583 * [taylor]: Taking taylor expansion of p in p
8.583 * [backup-simplify]: Simplify 0 into 0
8.583 * [backup-simplify]: Simplify 1 into 1
8.584 * [backup-simplify]: Simplify (* 2 0) into 0
8.584 * [backup-simplify]: Simplify 0 into 0
8.584 * [taylor]: Taking taylor expansion of 0 in p
8.584 * [backup-simplify]: Simplify 0 into 0
8.584 * [backup-simplify]: Simplify 0 into 0
8.584 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
8.584 * [backup-simplify]: Simplify 2 into 2
8.585 * [backup-simplify]: Simplify (* 1 1) into 1
8.585 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
8.586 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
8.586 * [backup-simplify]: Simplify (+ 1 0) into 1
8.586 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
8.586 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
8.586 * [taylor]: Taking taylor expansion of 1/4 in p
8.586 * [backup-simplify]: Simplify 1/4 into 1/4
8.586 * [taylor]: Taking taylor expansion of p in p
8.586 * [backup-simplify]: Simplify 0 into 0
8.586 * [backup-simplify]: Simplify 1 into 1
8.587 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
8.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
8.587 * [backup-simplify]: Simplify 0 into 0
8.587 * [backup-simplify]: Simplify 0 into 0
8.588 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
8.588 * [backup-simplify]: Simplify 0 into 0
8.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.589 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
8.590 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
8.590 * [backup-simplify]: Simplify (+ 0 0) into 0
8.590 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
8.590 * [taylor]: Taking taylor expansion of 0 in p
8.590 * [backup-simplify]: Simplify 0 into 0
8.590 * [backup-simplify]: Simplify 0 into 0
8.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.591 * [backup-simplify]: Simplify 0 into 0
8.591 * [backup-simplify]: Simplify 0 into 0
8.591 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
8.591 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* 4 (/ 1 p)) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
8.591 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
8.591 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.591 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.591 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.591 * [taylor]: Taking taylor expansion of 4 in p
8.591 * [backup-simplify]: Simplify 4 into 4
8.591 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.591 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.591 * [taylor]: Taking taylor expansion of p in p
8.591 * [backup-simplify]: Simplify 0 into 0
8.591 * [backup-simplify]: Simplify 1 into 1
8.591 * [backup-simplify]: Simplify (* 1 1) into 1
8.591 * [backup-simplify]: Simplify (/ 1 1) into 1
8.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.591 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.592 * [taylor]: Taking taylor expansion of x in p
8.592 * [backup-simplify]: Simplify x into x
8.592 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.592 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.592 * [backup-simplify]: Simplify (* 4 1) into 4
8.592 * [backup-simplify]: Simplify (+ 4 0) into 4
8.592 * [backup-simplify]: Simplify (sqrt 4) into 2
8.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.594 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.594 * [backup-simplify]: Simplify (+ 0 0) into 0
8.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
8.594 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.594 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.594 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.594 * [taylor]: Taking taylor expansion of 4 in x
8.594 * [backup-simplify]: Simplify 4 into 4
8.594 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.594 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.594 * [taylor]: Taking taylor expansion of p in x
8.594 * [backup-simplify]: Simplify p into p
8.594 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.595 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.595 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.595 * [taylor]: Taking taylor expansion of x in x
8.595 * [backup-simplify]: Simplify 0 into 0
8.595 * [backup-simplify]: Simplify 1 into 1
8.595 * [backup-simplify]: Simplify (* 1 1) into 1
8.595 * [backup-simplify]: Simplify (/ 1 1) into 1
8.595 * [backup-simplify]: Simplify (+ 0 1) into 1
8.596 * [backup-simplify]: Simplify (sqrt 1) into 1
8.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.597 * [backup-simplify]: Simplify (+ 0 0) into 0
8.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.597 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.597 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.597 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.597 * [taylor]: Taking taylor expansion of 4 in x
8.597 * [backup-simplify]: Simplify 4 into 4
8.597 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.597 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.597 * [taylor]: Taking taylor expansion of p in x
8.597 * [backup-simplify]: Simplify p into p
8.597 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.597 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.597 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.597 * [taylor]: Taking taylor expansion of x in x
8.597 * [backup-simplify]: Simplify 0 into 0
8.598 * [backup-simplify]: Simplify 1 into 1
8.598 * [backup-simplify]: Simplify (* 1 1) into 1
8.598 * [backup-simplify]: Simplify (/ 1 1) into 1
8.598 * [backup-simplify]: Simplify (+ 0 1) into 1
8.598 * [backup-simplify]: Simplify (sqrt 1) into 1
8.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.600 * [backup-simplify]: Simplify (+ 0 0) into 0
8.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.601 * [taylor]: Taking taylor expansion of 1 in p
8.601 * [backup-simplify]: Simplify 1 into 1
8.601 * [taylor]: Taking taylor expansion of 0 in p
8.601 * [backup-simplify]: Simplify 0 into 0
8.601 * [backup-simplify]: Simplify 1 into 1
8.601 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
8.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.603 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
8.603 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
8.603 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
8.603 * [taylor]: Taking taylor expansion of 2 in p
8.603 * [backup-simplify]: Simplify 2 into 2
8.603 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.603 * [taylor]: Taking taylor expansion of p in p
8.603 * [backup-simplify]: Simplify 0 into 0
8.603 * [backup-simplify]: Simplify 1 into 1
8.604 * [backup-simplify]: Simplify (* 1 1) into 1
8.604 * [backup-simplify]: Simplify (/ 2 1) into 2
8.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
8.605 * [backup-simplify]: Simplify 0 into 0
8.605 * [backup-simplify]: Simplify 0 into 0
8.605 * [backup-simplify]: Simplify 0 into 0
8.605 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
8.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
8.605 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
8.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.607 * [backup-simplify]: Simplify (+ 0 0) into 0
8.607 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
8.607 * [taylor]: Taking taylor expansion of 0 in p
8.607 * [backup-simplify]: Simplify 0 into 0
8.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.609 * [backup-simplify]: Simplify 0 into 0
8.609 * [backup-simplify]: Simplify 0 into 0
8.609 * [backup-simplify]: Simplify 0 into 0
8.610 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
8.610 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4 (/ 1 (- p))) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
8.610 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
8.610 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.610 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.610 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.610 * [taylor]: Taking taylor expansion of 4 in p
8.610 * [backup-simplify]: Simplify 4 into 4
8.610 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.610 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.610 * [taylor]: Taking taylor expansion of p in p
8.610 * [backup-simplify]: Simplify 0 into 0
8.610 * [backup-simplify]: Simplify 1 into 1
8.611 * [backup-simplify]: Simplify (* 1 1) into 1
8.611 * [backup-simplify]: Simplify (/ 1 1) into 1
8.611 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.611 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.611 * [taylor]: Taking taylor expansion of x in p
8.611 * [backup-simplify]: Simplify x into x
8.611 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.611 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.612 * [backup-simplify]: Simplify (* 4 1) into 4
8.612 * [backup-simplify]: Simplify (+ 4 0) into 4
8.613 * [backup-simplify]: Simplify (sqrt 4) into 2
8.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.615 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.615 * [backup-simplify]: Simplify (+ 0 0) into 0
8.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
8.616 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.616 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.616 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.616 * [taylor]: Taking taylor expansion of 4 in x
8.616 * [backup-simplify]: Simplify 4 into 4
8.616 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.616 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.616 * [taylor]: Taking taylor expansion of p in x
8.616 * [backup-simplify]: Simplify p into p
8.616 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.616 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.616 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.616 * [taylor]: Taking taylor expansion of x in x
8.616 * [backup-simplify]: Simplify 0 into 0
8.617 * [backup-simplify]: Simplify 1 into 1
8.617 * [backup-simplify]: Simplify (* 1 1) into 1
8.617 * [backup-simplify]: Simplify (/ 1 1) into 1
8.618 * [backup-simplify]: Simplify (+ 0 1) into 1
8.618 * [backup-simplify]: Simplify (sqrt 1) into 1
8.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.620 * [backup-simplify]: Simplify (+ 0 0) into 0
8.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.621 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.621 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.621 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.621 * [taylor]: Taking taylor expansion of 4 in x
8.621 * [backup-simplify]: Simplify 4 into 4
8.621 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.621 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.621 * [taylor]: Taking taylor expansion of p in x
8.621 * [backup-simplify]: Simplify p into p
8.621 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.621 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.621 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.621 * [taylor]: Taking taylor expansion of x in x
8.621 * [backup-simplify]: Simplify 0 into 0
8.621 * [backup-simplify]: Simplify 1 into 1
8.622 * [backup-simplify]: Simplify (* 1 1) into 1
8.622 * [backup-simplify]: Simplify (/ 1 1) into 1
8.623 * [backup-simplify]: Simplify (+ 0 1) into 1
8.623 * [backup-simplify]: Simplify (sqrt 1) into 1
8.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.625 * [backup-simplify]: Simplify (+ 0 0) into 0
8.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.626 * [taylor]: Taking taylor expansion of 1 in p
8.626 * [backup-simplify]: Simplify 1 into 1
8.626 * [taylor]: Taking taylor expansion of 0 in p
8.626 * [backup-simplify]: Simplify 0 into 0
8.626 * [backup-simplify]: Simplify 1 into 1
8.626 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
8.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.628 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
8.629 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
8.629 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
8.629 * [taylor]: Taking taylor expansion of 2 in p
8.629 * [backup-simplify]: Simplify 2 into 2
8.629 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.629 * [taylor]: Taking taylor expansion of p in p
8.629 * [backup-simplify]: Simplify 0 into 0
8.630 * [backup-simplify]: Simplify 1 into 1
8.630 * [backup-simplify]: Simplify (* 1 1) into 1
8.630 * [backup-simplify]: Simplify (/ 2 1) into 2
8.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
8.632 * [backup-simplify]: Simplify 0 into 0
8.632 * [backup-simplify]: Simplify 0 into 0
8.632 * [backup-simplify]: Simplify 0 into 0
8.632 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
8.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
8.632 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
8.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.634 * [backup-simplify]: Simplify (+ 0 0) into 0
8.634 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
8.634 * [taylor]: Taking taylor expansion of 0 in p
8.634 * [backup-simplify]: Simplify 0 into 0
8.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.635 * [backup-simplify]: Simplify 0 into 0
8.635 * [backup-simplify]: Simplify 0 into 0
8.635 * [backup-simplify]: Simplify 0 into 0
8.635 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
8.635 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2)
8.635 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* 4 p) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2))))
8.635 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
8.635 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p
8.635 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
8.635 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.636 * [taylor]: Taking taylor expansion of x in p
8.636 * [backup-simplify]: Simplify x into x
8.636 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
8.636 * [taylor]: Taking taylor expansion of 4 in p
8.636 * [backup-simplify]: Simplify 4 into 4
8.636 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.636 * [taylor]: Taking taylor expansion of p in p
8.636 * [backup-simplify]: Simplify 0 into 0
8.636 * [backup-simplify]: Simplify 1 into 1
8.636 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.636 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.636 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
8.636 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.636 * [backup-simplify]: Simplify (+ 0 0) into 0
8.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
8.636 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
8.636 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
8.636 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.636 * [taylor]: Taking taylor expansion of x in x
8.636 * [backup-simplify]: Simplify 0 into 0
8.636 * [backup-simplify]: Simplify 1 into 1
8.636 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
8.636 * [taylor]: Taking taylor expansion of 4 in x
8.636 * [backup-simplify]: Simplify 4 into 4
8.636 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.636 * [taylor]: Taking taylor expansion of p in x
8.636 * [backup-simplify]: Simplify p into p
8.636 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.636 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
8.637 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
8.637 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
8.637 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
8.637 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
8.637 * [backup-simplify]: Simplify (+ 0 0) into 0
8.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
8.637 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x
8.637 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
8.637 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.637 * [taylor]: Taking taylor expansion of x in x
8.637 * [backup-simplify]: Simplify 0 into 0
8.637 * [backup-simplify]: Simplify 1 into 1
8.637 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
8.637 * [taylor]: Taking taylor expansion of 4 in x
8.637 * [backup-simplify]: Simplify 4 into 4
8.637 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.637 * [taylor]: Taking taylor expansion of p in x
8.637 * [backup-simplify]: Simplify p into p
8.637 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.638 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
8.638 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
8.638 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p)
8.638 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
8.638 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
8.638 * [backup-simplify]: Simplify (+ 0 0) into 0
8.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0
8.638 * [taylor]: Taking taylor expansion of (* 2 p) in p
8.638 * [taylor]: Taking taylor expansion of 2 in p
8.638 * [backup-simplify]: Simplify 2 into 2
8.638 * [taylor]: Taking taylor expansion of p in p
8.638 * [backup-simplify]: Simplify 0 into 0
8.639 * [backup-simplify]: Simplify 1 into 1
8.639 * [backup-simplify]: Simplify (* 2 0) into 0
8.639 * [backup-simplify]: Simplify 0 into 0
8.639 * [taylor]: Taking taylor expansion of 0 in p
8.639 * [backup-simplify]: Simplify 0 into 0
8.639 * [backup-simplify]: Simplify 0 into 0
8.639 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
8.639 * [backup-simplify]: Simplify 2 into 2
8.640 * [backup-simplify]: Simplify (* 1 1) into 1
8.640 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
8.640 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
8.641 * [backup-simplify]: Simplify (+ 1 0) into 1
8.641 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p)
8.641 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p
8.641 * [taylor]: Taking taylor expansion of 1/4 in p
8.641 * [backup-simplify]: Simplify 1/4 into 1/4
8.641 * [taylor]: Taking taylor expansion of p in p
8.641 * [backup-simplify]: Simplify 0 into 0
8.641 * [backup-simplify]: Simplify 1 into 1
8.641 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
8.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
8.642 * [backup-simplify]: Simplify 0 into 0
8.642 * [backup-simplify]: Simplify 0 into 0
8.642 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
8.643 * [backup-simplify]: Simplify 0 into 0
8.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.643 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0
8.644 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0
8.644 * [backup-simplify]: Simplify (+ 0 0) into 0
8.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0
8.644 * [taylor]: Taking taylor expansion of 0 in p
8.644 * [backup-simplify]: Simplify 0 into 0
8.645 * [backup-simplify]: Simplify 0 into 0
8.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.645 * [backup-simplify]: Simplify 0 into 0
8.645 * [backup-simplify]: Simplify 0 into 0
8.645 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p)
8.645 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* 4 (/ 1 p)) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
8.645 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
8.645 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.645 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.645 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.645 * [taylor]: Taking taylor expansion of 4 in p
8.645 * [backup-simplify]: Simplify 4 into 4
8.645 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.646 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.646 * [taylor]: Taking taylor expansion of p in p
8.646 * [backup-simplify]: Simplify 0 into 0
8.646 * [backup-simplify]: Simplify 1 into 1
8.646 * [backup-simplify]: Simplify (* 1 1) into 1
8.646 * [backup-simplify]: Simplify (/ 1 1) into 1
8.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.646 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.646 * [taylor]: Taking taylor expansion of x in p
8.646 * [backup-simplify]: Simplify x into x
8.646 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.646 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.646 * [backup-simplify]: Simplify (* 4 1) into 4
8.647 * [backup-simplify]: Simplify (+ 4 0) into 4
8.647 * [backup-simplify]: Simplify (sqrt 4) into 2
8.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.648 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.648 * [backup-simplify]: Simplify (+ 0 0) into 0
8.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
8.649 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.649 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.649 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.649 * [taylor]: Taking taylor expansion of 4 in x
8.649 * [backup-simplify]: Simplify 4 into 4
8.649 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.649 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.649 * [taylor]: Taking taylor expansion of p in x
8.649 * [backup-simplify]: Simplify p into p
8.649 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.649 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.649 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.649 * [taylor]: Taking taylor expansion of x in x
8.649 * [backup-simplify]: Simplify 0 into 0
8.649 * [backup-simplify]: Simplify 1 into 1
8.649 * [backup-simplify]: Simplify (* 1 1) into 1
8.650 * [backup-simplify]: Simplify (/ 1 1) into 1
8.650 * [backup-simplify]: Simplify (+ 0 1) into 1
8.650 * [backup-simplify]: Simplify (sqrt 1) into 1
8.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.651 * [backup-simplify]: Simplify (+ 0 0) into 0
8.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.652 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.652 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.652 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.652 * [taylor]: Taking taylor expansion of 4 in x
8.652 * [backup-simplify]: Simplify 4 into 4
8.652 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.652 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.652 * [taylor]: Taking taylor expansion of p in x
8.652 * [backup-simplify]: Simplify p into p
8.652 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.652 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.652 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.652 * [taylor]: Taking taylor expansion of x in x
8.652 * [backup-simplify]: Simplify 0 into 0
8.652 * [backup-simplify]: Simplify 1 into 1
8.653 * [backup-simplify]: Simplify (* 1 1) into 1
8.653 * [backup-simplify]: Simplify (/ 1 1) into 1
8.653 * [backup-simplify]: Simplify (+ 0 1) into 1
8.653 * [backup-simplify]: Simplify (sqrt 1) into 1
8.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.654 * [backup-simplify]: Simplify (+ 0 0) into 0
8.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.655 * [taylor]: Taking taylor expansion of 1 in p
8.655 * [backup-simplify]: Simplify 1 into 1
8.655 * [taylor]: Taking taylor expansion of 0 in p
8.655 * [backup-simplify]: Simplify 0 into 0
8.655 * [backup-simplify]: Simplify 1 into 1
8.655 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
8.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.656 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
8.657 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
8.657 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
8.657 * [taylor]: Taking taylor expansion of 2 in p
8.657 * [backup-simplify]: Simplify 2 into 2
8.657 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.657 * [taylor]: Taking taylor expansion of p in p
8.657 * [backup-simplify]: Simplify 0 into 0
8.657 * [backup-simplify]: Simplify 1 into 1
8.657 * [backup-simplify]: Simplify (* 1 1) into 1
8.658 * [backup-simplify]: Simplify (/ 2 1) into 2
8.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
8.659 * [backup-simplify]: Simplify 0 into 0
8.659 * [backup-simplify]: Simplify 0 into 0
8.659 * [backup-simplify]: Simplify 0 into 0
8.659 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
8.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
8.659 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
8.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.661 * [backup-simplify]: Simplify (+ 0 0) into 0
8.669 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
8.669 * [taylor]: Taking taylor expansion of 0 in p
8.669 * [backup-simplify]: Simplify 0 into 0
8.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.671 * [backup-simplify]: Simplify 0 into 0
8.671 * [backup-simplify]: Simplify 0 into 0
8.672 * [backup-simplify]: Simplify 0 into 0
8.672 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
8.672 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4 (/ 1 (- p))) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))
8.672 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0
8.672 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.672 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.672 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.672 * [taylor]: Taking taylor expansion of 4 in p
8.672 * [backup-simplify]: Simplify 4 into 4
8.672 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.672 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.672 * [taylor]: Taking taylor expansion of p in p
8.672 * [backup-simplify]: Simplify 0 into 0
8.672 * [backup-simplify]: Simplify 1 into 1
8.673 * [backup-simplify]: Simplify (* 1 1) into 1
8.673 * [backup-simplify]: Simplify (/ 1 1) into 1
8.673 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.673 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.674 * [taylor]: Taking taylor expansion of x in p
8.674 * [backup-simplify]: Simplify x into x
8.674 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.674 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.674 * [backup-simplify]: Simplify (* 4 1) into 4
8.675 * [backup-simplify]: Simplify (+ 4 0) into 4
8.675 * [backup-simplify]: Simplify (sqrt 4) into 2
8.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.678 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0
8.678 * [backup-simplify]: Simplify (+ 0 0) into 0
8.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0
8.679 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.679 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.679 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.679 * [taylor]: Taking taylor expansion of 4 in x
8.679 * [backup-simplify]: Simplify 4 into 4
8.679 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.679 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.679 * [taylor]: Taking taylor expansion of p in x
8.679 * [backup-simplify]: Simplify p into p
8.679 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.679 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.680 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.680 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.680 * [taylor]: Taking taylor expansion of x in x
8.680 * [backup-simplify]: Simplify 0 into 0
8.680 * [backup-simplify]: Simplify 1 into 1
8.680 * [backup-simplify]: Simplify (* 1 1) into 1
8.680 * [backup-simplify]: Simplify (/ 1 1) into 1
8.681 * [backup-simplify]: Simplify (+ 0 1) into 1
8.681 * [backup-simplify]: Simplify (sqrt 1) into 1
8.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.683 * [backup-simplify]: Simplify (+ 0 0) into 0
8.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.684 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.684 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.684 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.684 * [taylor]: Taking taylor expansion of 4 in x
8.684 * [backup-simplify]: Simplify 4 into 4
8.684 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.684 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.684 * [taylor]: Taking taylor expansion of p in x
8.684 * [backup-simplify]: Simplify p into p
8.684 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.684 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.684 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.684 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.684 * [taylor]: Taking taylor expansion of x in x
8.684 * [backup-simplify]: Simplify 0 into 0
8.684 * [backup-simplify]: Simplify 1 into 1
8.685 * [backup-simplify]: Simplify (* 1 1) into 1
8.685 * [backup-simplify]: Simplify (/ 1 1) into 1
8.686 * [backup-simplify]: Simplify (+ 0 1) into 1
8.686 * [backup-simplify]: Simplify (sqrt 1) into 1
8.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.688 * [backup-simplify]: Simplify (+ 0 0) into 0
8.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.689 * [taylor]: Taking taylor expansion of 1 in p
8.689 * [backup-simplify]: Simplify 1 into 1
8.689 * [taylor]: Taking taylor expansion of 0 in p
8.689 * [backup-simplify]: Simplify 0 into 0
8.689 * [backup-simplify]: Simplify 1 into 1
8.689 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
8.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.691 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
8.692 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2))
8.692 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p
8.692 * [taylor]: Taking taylor expansion of 2 in p
8.692 * [backup-simplify]: Simplify 2 into 2
8.692 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.692 * [taylor]: Taking taylor expansion of p in p
8.692 * [backup-simplify]: Simplify 0 into 0
8.692 * [backup-simplify]: Simplify 1 into 1
8.693 * [backup-simplify]: Simplify (* 1 1) into 1
8.693 * [backup-simplify]: Simplify (/ 2 1) into 2
8.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
8.695 * [backup-simplify]: Simplify 0 into 0
8.695 * [backup-simplify]: Simplify 0 into 0
8.695 * [backup-simplify]: Simplify 0 into 0
8.695 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
8.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0
8.696 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0
8.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.698 * [backup-simplify]: Simplify (+ 0 0) into 0
8.699 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0
8.699 * [taylor]: Taking taylor expansion of 0 in p
8.699 * [backup-simplify]: Simplify 0 into 0
8.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.701 * [backup-simplify]: Simplify 0 into 0
8.701 * [backup-simplify]: Simplify 0 into 0
8.701 * [backup-simplify]: Simplify 0 into 0
8.701 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
8.701 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 1 1)
8.701 * [backup-simplify]: Simplify (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) into (/ (pow x 3) (+ (pow x 2) (* 4 (pow p 2))))
8.701 * [approximate]: Taking taylor expansion of (/ (pow x 3) (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0
8.701 * [taylor]: Taking taylor expansion of (/ (pow x 3) (+ (pow x 2) (* 4 (pow p 2)))) in p
8.701 * [taylor]: Taking taylor expansion of (pow x 3) in p
8.701 * [taylor]: Taking taylor expansion of x in p
8.701 * [backup-simplify]: Simplify x into x
8.701 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p
8.702 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.702 * [taylor]: Taking taylor expansion of x in p
8.702 * [backup-simplify]: Simplify x into x
8.702 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p
8.702 * [taylor]: Taking taylor expansion of 4 in p
8.702 * [backup-simplify]: Simplify 4 into 4
8.702 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.702 * [taylor]: Taking taylor expansion of p in p
8.702 * [backup-simplify]: Simplify 0 into 0
8.702 * [backup-simplify]: Simplify 1 into 1
8.702 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.702 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3)
8.702 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.702 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.703 * [backup-simplify]: Simplify (/ (pow x 3) (pow x 2)) into x
8.703 * [taylor]: Taking taylor expansion of (/ (pow x 3) (+ (pow x 2) (* 4 (pow p 2)))) in x
8.703 * [taylor]: Taking taylor expansion of (pow x 3) in x
8.703 * [taylor]: Taking taylor expansion of x in x
8.703 * [backup-simplify]: Simplify 0 into 0
8.703 * [backup-simplify]: Simplify 1 into 1
8.703 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
8.703 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.703 * [taylor]: Taking taylor expansion of x in x
8.703 * [backup-simplify]: Simplify 0 into 0
8.703 * [backup-simplify]: Simplify 1 into 1
8.703 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
8.703 * [taylor]: Taking taylor expansion of 4 in x
8.703 * [backup-simplify]: Simplify 4 into 4
8.703 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.703 * [taylor]: Taking taylor expansion of p in x
8.703 * [backup-simplify]: Simplify p into p
8.703 * [backup-simplify]: Simplify (* 1 1) into 1
8.704 * [backup-simplify]: Simplify (* 1 1) into 1
8.704 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.704 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
8.704 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
8.704 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
8.704 * [taylor]: Taking taylor expansion of (/ (pow x 3) (+ (pow x 2) (* 4 (pow p 2)))) in x
8.704 * [taylor]: Taking taylor expansion of (pow x 3) in x
8.704 * [taylor]: Taking taylor expansion of x in x
8.704 * [backup-simplify]: Simplify 0 into 0
8.704 * [backup-simplify]: Simplify 1 into 1
8.704 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x
8.704 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.705 * [taylor]: Taking taylor expansion of x in x
8.705 * [backup-simplify]: Simplify 0 into 0
8.705 * [backup-simplify]: Simplify 1 into 1
8.705 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x
8.705 * [taylor]: Taking taylor expansion of 4 in x
8.705 * [backup-simplify]: Simplify 4 into 4
8.705 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.705 * [taylor]: Taking taylor expansion of p in x
8.705 * [backup-simplify]: Simplify p into p
8.705 * [backup-simplify]: Simplify (* 1 1) into 1
8.706 * [backup-simplify]: Simplify (* 1 1) into 1
8.706 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.706 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2))
8.706 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2))
8.706 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2))
8.706 * [taylor]: Taking taylor expansion of (/ 1/4 (pow p 2)) in p
8.706 * [taylor]: Taking taylor expansion of 1/4 in p
8.706 * [backup-simplify]: Simplify 1/4 into 1/4
8.706 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.706 * [taylor]: Taking taylor expansion of p in p
8.706 * [backup-simplify]: Simplify 0 into 0
8.706 * [backup-simplify]: Simplify 1 into 1
8.707 * [backup-simplify]: Simplify (* 1 1) into 1
8.707 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
8.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
8.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.711 * [backup-simplify]: Simplify 0 into 0
8.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.712 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0
8.713 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0
8.713 * [backup-simplify]: Simplify (+ 0 0) into 0
8.714 * [backup-simplify]: Simplify (- (/ 0 (* 4 (pow p 2))) (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0
8.714 * [taylor]: Taking taylor expansion of 0 in p
8.714 * [backup-simplify]: Simplify 0 into 0
8.714 * [backup-simplify]: Simplify 0 into 0
8.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.716 * [backup-simplify]: Simplify 0 into 0
8.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.717 * [backup-simplify]: Simplify (* 1 1) into 1
8.717 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0
8.718 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0
8.718 * [backup-simplify]: Simplify (+ 1 0) into 1
8.718 * [backup-simplify]: Simplify (- (/ 0 (* 4 (pow p 2))) (+ (* (/ 1/4 (pow p 2)) (/ 1 (* 4 (pow p 2)))) (* 0 (/ 0 (* 4 (pow p 2)))))) into (- (* 1/16 (/ 1 (pow p 4))))
8.718 * [taylor]: Taking taylor expansion of (- (* 1/16 (/ 1 (pow p 4)))) in p
8.718 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow p 4))) in p
8.718 * [taylor]: Taking taylor expansion of 1/16 in p
8.718 * [backup-simplify]: Simplify 1/16 into 1/16
8.718 * [taylor]: Taking taylor expansion of (/ 1 (pow p 4)) in p
8.718 * [taylor]: Taking taylor expansion of (pow p 4) in p
8.718 * [taylor]: Taking taylor expansion of p in p
8.718 * [backup-simplify]: Simplify 0 into 0
8.718 * [backup-simplify]: Simplify 1 into 1
8.719 * [backup-simplify]: Simplify (* 1 1) into 1
8.719 * [backup-simplify]: Simplify (* 1 1) into 1
8.719 * [backup-simplify]: Simplify (/ 1 1) into 1
8.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.726 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.726 * [backup-simplify]: Simplify (- 0) into 0
8.726 * [backup-simplify]: Simplify 0 into 0
8.726 * [backup-simplify]: Simplify 0 into 0
8.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.728 * [backup-simplify]: Simplify 0 into 0
8.728 * [backup-simplify]: Simplify 0 into 0
8.728 * [backup-simplify]: Simplify (/ (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* 4 (/ 1 p)) (/ 1 p)))) into (/ 1 (* (pow x 3) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))
8.728 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 3) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in (x p) around 0
8.728 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
8.728 * [taylor]: Taking taylor expansion of (* (pow x 3) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.728 * [taylor]: Taking taylor expansion of (pow x 3) in p
8.728 * [taylor]: Taking taylor expansion of x in p
8.728 * [backup-simplify]: Simplify x into x
8.728 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.728 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.728 * [taylor]: Taking taylor expansion of 4 in p
8.728 * [backup-simplify]: Simplify 4 into 4
8.728 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.728 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.728 * [taylor]: Taking taylor expansion of p in p
8.728 * [backup-simplify]: Simplify 0 into 0
8.728 * [backup-simplify]: Simplify 1 into 1
8.728 * [backup-simplify]: Simplify (* 1 1) into 1
8.729 * [backup-simplify]: Simplify (/ 1 1) into 1
8.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.729 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.729 * [taylor]: Taking taylor expansion of x in p
8.729 * [backup-simplify]: Simplify x into x
8.729 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.729 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.729 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.729 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3)
8.729 * [backup-simplify]: Simplify (* 4 1) into 4
8.729 * [backup-simplify]: Simplify (+ 4 0) into 4
8.729 * [backup-simplify]: Simplify (* (pow x 3) 4) into (* 4 (pow x 3))
8.730 * [backup-simplify]: Simplify (/ 1 (* 4 (pow x 3))) into (/ 1/4 (pow x 3))
8.730 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
8.730 * [taylor]: Taking taylor expansion of (* (pow x 3) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.730 * [taylor]: Taking taylor expansion of (pow x 3) in x
8.730 * [taylor]: Taking taylor expansion of x in x
8.730 * [backup-simplify]: Simplify 0 into 0
8.730 * [backup-simplify]: Simplify 1 into 1
8.730 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.730 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.730 * [taylor]: Taking taylor expansion of 4 in x
8.730 * [backup-simplify]: Simplify 4 into 4
8.730 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.730 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.730 * [taylor]: Taking taylor expansion of p in x
8.730 * [backup-simplify]: Simplify p into p
8.730 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.730 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.730 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.730 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.730 * [taylor]: Taking taylor expansion of x in x
8.730 * [backup-simplify]: Simplify 0 into 0
8.730 * [backup-simplify]: Simplify 1 into 1
8.730 * [backup-simplify]: Simplify (* 1 1) into 1
8.730 * [backup-simplify]: Simplify (/ 1 1) into 1
8.731 * [backup-simplify]: Simplify (* 1 1) into 1
8.731 * [backup-simplify]: Simplify (* 1 1) into 1
8.731 * [backup-simplify]: Simplify (+ 0 1) into 1
8.731 * [backup-simplify]: Simplify (* 1 1) into 1
8.732 * [backup-simplify]: Simplify (/ 1 1) into 1
8.732 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
8.732 * [taylor]: Taking taylor expansion of (* (pow x 3) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.732 * [taylor]: Taking taylor expansion of (pow x 3) in x
8.732 * [taylor]: Taking taylor expansion of x in x
8.732 * [backup-simplify]: Simplify 0 into 0
8.732 * [backup-simplify]: Simplify 1 into 1
8.732 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.732 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.732 * [taylor]: Taking taylor expansion of 4 in x
8.732 * [backup-simplify]: Simplify 4 into 4
8.732 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.732 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.732 * [taylor]: Taking taylor expansion of p in x
8.732 * [backup-simplify]: Simplify p into p
8.732 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.732 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.732 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.732 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.732 * [taylor]: Taking taylor expansion of x in x
8.732 * [backup-simplify]: Simplify 0 into 0
8.732 * [backup-simplify]: Simplify 1 into 1
8.732 * [backup-simplify]: Simplify (* 1 1) into 1
8.732 * [backup-simplify]: Simplify (/ 1 1) into 1
8.733 * [backup-simplify]: Simplify (* 1 1) into 1
8.733 * [backup-simplify]: Simplify (* 1 1) into 1
8.733 * [backup-simplify]: Simplify (+ 0 1) into 1
8.733 * [backup-simplify]: Simplify (* 1 1) into 1
8.734 * [backup-simplify]: Simplify (/ 1 1) into 1
8.734 * [taylor]: Taking taylor expansion of 1 in p
8.734 * [backup-simplify]: Simplify 1 into 1
8.734 * [backup-simplify]: Simplify 0 into 0
8.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.735 * [backup-simplify]: Simplify (+ 0 0) into 0
8.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.737 * [taylor]: Taking taylor expansion of 0 in p
8.737 * [backup-simplify]: Simplify 0 into 0
8.737 * [backup-simplify]: Simplify 0 into 0
8.737 * [backup-simplify]: Simplify 0 into 0
8.738 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
8.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.740 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
8.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.742 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 (pow p 2)))) (+ (* 0 0) (* 0 1))) into (* 4 (/ 1 (pow p 2)))
8.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2))))
8.743 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow p 2)))) in p
8.743 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.743 * [taylor]: Taking taylor expansion of 4 in p
8.743 * [backup-simplify]: Simplify 4 into 4
8.743 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.743 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.743 * [taylor]: Taking taylor expansion of p in p
8.743 * [backup-simplify]: Simplify 0 into 0
8.743 * [backup-simplify]: Simplify 1 into 1
8.743 * [backup-simplify]: Simplify (* 1 1) into 1
8.743 * [backup-simplify]: Simplify (/ 1 1) into 1
8.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.751 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.752 * [backup-simplify]: Simplify (- 0) into 0
8.752 * [backup-simplify]: Simplify 0 into 0
8.752 * [backup-simplify]: Simplify 0 into 0
8.752 * [backup-simplify]: Simplify 0 into 0
8.752 * [backup-simplify]: Simplify 0 into 0
8.752 * [backup-simplify]: Simplify (/ (* (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 4 (/ 1 (- p))) (/ 1 (- p))))) into (/ -1 (* (pow x 3) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))
8.752 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x 3) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in (x p) around 0
8.752 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x 3) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p
8.752 * [taylor]: Taking taylor expansion of -1 in p
8.752 * [backup-simplify]: Simplify -1 into -1
8.752 * [taylor]: Taking taylor expansion of (* (pow x 3) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p
8.752 * [taylor]: Taking taylor expansion of (pow x 3) in p
8.752 * [taylor]: Taking taylor expansion of x in p
8.752 * [backup-simplify]: Simplify x into x
8.753 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p
8.753 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.753 * [taylor]: Taking taylor expansion of 4 in p
8.753 * [backup-simplify]: Simplify 4 into 4
8.753 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.753 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.753 * [taylor]: Taking taylor expansion of p in p
8.753 * [backup-simplify]: Simplify 0 into 0
8.753 * [backup-simplify]: Simplify 1 into 1
8.753 * [backup-simplify]: Simplify (* 1 1) into 1
8.754 * [backup-simplify]: Simplify (/ 1 1) into 1
8.754 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p
8.754 * [taylor]: Taking taylor expansion of (pow x 2) in p
8.754 * [taylor]: Taking taylor expansion of x in p
8.754 * [backup-simplify]: Simplify x into x
8.754 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.754 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.754 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.754 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3)
8.754 * [backup-simplify]: Simplify (* 4 1) into 4
8.755 * [backup-simplify]: Simplify (+ 4 0) into 4
8.755 * [backup-simplify]: Simplify (* (pow x 3) 4) into (* 4 (pow x 3))
8.755 * [backup-simplify]: Simplify (/ -1 (* 4 (pow x 3))) into (/ -1/4 (pow x 3))
8.755 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x 3) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
8.755 * [taylor]: Taking taylor expansion of -1 in x
8.755 * [backup-simplify]: Simplify -1 into -1
8.755 * [taylor]: Taking taylor expansion of (* (pow x 3) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.755 * [taylor]: Taking taylor expansion of (pow x 3) in x
8.755 * [taylor]: Taking taylor expansion of x in x
8.755 * [backup-simplify]: Simplify 0 into 0
8.755 * [backup-simplify]: Simplify 1 into 1
8.755 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.755 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.755 * [taylor]: Taking taylor expansion of 4 in x
8.755 * [backup-simplify]: Simplify 4 into 4
8.755 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.755 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.755 * [taylor]: Taking taylor expansion of p in x
8.755 * [backup-simplify]: Simplify p into p
8.755 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.756 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.756 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.756 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.756 * [taylor]: Taking taylor expansion of x in x
8.756 * [backup-simplify]: Simplify 0 into 0
8.756 * [backup-simplify]: Simplify 1 into 1
8.756 * [backup-simplify]: Simplify (* 1 1) into 1
8.756 * [backup-simplify]: Simplify (/ 1 1) into 1
8.757 * [backup-simplify]: Simplify (* 1 1) into 1
8.757 * [backup-simplify]: Simplify (* 1 1) into 1
8.757 * [backup-simplify]: Simplify (+ 0 1) into 1
8.758 * [backup-simplify]: Simplify (* 1 1) into 1
8.758 * [backup-simplify]: Simplify (/ -1 1) into -1
8.758 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x 3) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x
8.758 * [taylor]: Taking taylor expansion of -1 in x
8.758 * [backup-simplify]: Simplify -1 into -1
8.758 * [taylor]: Taking taylor expansion of (* (pow x 3) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x
8.758 * [taylor]: Taking taylor expansion of (pow x 3) in x
8.758 * [taylor]: Taking taylor expansion of x in x
8.758 * [backup-simplify]: Simplify 0 into 0
8.758 * [backup-simplify]: Simplify 1 into 1
8.758 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x
8.758 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x
8.758 * [taylor]: Taking taylor expansion of 4 in x
8.758 * [backup-simplify]: Simplify 4 into 4
8.758 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x
8.758 * [taylor]: Taking taylor expansion of (pow p 2) in x
8.758 * [taylor]: Taking taylor expansion of p in x
8.758 * [backup-simplify]: Simplify p into p
8.759 * [backup-simplify]: Simplify (* p p) into (pow p 2)
8.759 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2))
8.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.759 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.759 * [taylor]: Taking taylor expansion of x in x
8.759 * [backup-simplify]: Simplify 0 into 0
8.759 * [backup-simplify]: Simplify 1 into 1
8.759 * [backup-simplify]: Simplify (* 1 1) into 1
8.759 * [backup-simplify]: Simplify (/ 1 1) into 1
8.760 * [backup-simplify]: Simplify (* 1 1) into 1
8.760 * [backup-simplify]: Simplify (* 1 1) into 1
8.761 * [backup-simplify]: Simplify (+ 0 1) into 1
8.761 * [backup-simplify]: Simplify (* 1 1) into 1
8.761 * [backup-simplify]: Simplify (/ -1 1) into -1
8.761 * [taylor]: Taking taylor expansion of -1 in p
8.761 * [backup-simplify]: Simplify -1 into -1
8.761 * [backup-simplify]: Simplify 0 into 0
8.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.763 * [backup-simplify]: Simplify (+ 0 0) into 0
8.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.766 * [taylor]: Taking taylor expansion of 0 in p
8.767 * [backup-simplify]: Simplify 0 into 0
8.767 * [backup-simplify]: Simplify 0 into 0
8.767 * [backup-simplify]: Simplify 0 into 0
8.767 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2))
8.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.769 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2)))
8.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.772 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 (pow p 2)))) (+ (* 0 0) (* 0 1))) into (* 4 (/ 1 (pow p 2)))
8.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (* 4 (/ 1 (pow p 2)))
8.774 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p
8.774 * [taylor]: Taking taylor expansion of 4 in p
8.774 * [backup-simplify]: Simplify 4 into 4
8.774 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p
8.774 * [taylor]: Taking taylor expansion of (pow p 2) in p
8.774 * [taylor]: Taking taylor expansion of p in p
8.774 * [backup-simplify]: Simplify 0 into 0
8.774 * [backup-simplify]: Simplify 1 into 1
8.774 * [backup-simplify]: Simplify (* 1 1) into 1
8.775 * [backup-simplify]: Simplify (/ 1 1) into 1
8.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.784 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.784 * [backup-simplify]: Simplify 0 into 0
8.784 * [backup-simplify]: Simplify 0 into 0
8.784 * [backup-simplify]: Simplify 0 into 0
8.784 * [backup-simplify]: Simplify 0 into 0
8.784 * * * [progress]: simplifying candidates
8.784 * * * * [progress]: [ 1 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (pow (+ (* x x) (* (* 4 p) p)) 1/2))))))))>
8.784 * * * * [progress]: [ 2 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (pow (sqrt (+ (* x x) (* (* 4 p) p))) 1))))))))>
8.784 * * * * [progress]: [ 3 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (exp (log (sqrt (+ (* x x) (* (* 4 p) p))))))))))))>
8.784 * * * * [progress]: [ 4 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (log (exp (sqrt (+ (* x x) (* (* 4 p) p))))))))))))>
8.784 * * * * [progress]: [ 5 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))))))))))>
8.784 * * * * [progress]: [ 6 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (cbrt (* (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p))))))))))))>
8.784 * * * * [progress]: [ 7 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (* (sqrt (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p))))) (sqrt (cbrt (+ (* x x) (* (* 4 p) p))))))))))))>
8.785 * * * * [progress]: [ 8 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (* (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))))))))))>
8.785 * * * * [progress]: [ 9 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (* (sqrt 1) (sqrt (+ (* x x) (* (* 4 p) p)))))))))))>
8.785 * * * * [progress]: [ 10 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (/ (sqrt (+ (pow (* x x) 3) (pow (* (* 4 p) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* 4 p) p) (* (* 4 p) p)) (* (* x x) (* (* 4 p) p)))))))))))))>
8.785 * * * * [progress]: [ 11 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (/ (sqrt (- (* (* x x) (* x x)) (* (* (* 4 p) p) (* (* 4 p) p)))) (sqrt (- (* x x) (* (* 4 p) p)))))))))))>
8.785 * * * * [progress]: [ 12 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (pow (+ (* x x) (* (* 4 p) p)) (/ 1 2)))))))))>
8.785 * * * * [progress]: [ 13 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (* (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))))))))))>
8.785 * * * * [progress]: [ 14 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (fabs (sqrt (+ (* x x) (* (* 4 p) p)))))))))))>
8.785 * * * * [progress]: [ 15 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (* 1 (sqrt (+ (* x x) (* (* 4 p) p)))))))))))>
8.785 * * * * [progress]: [ 16 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* 4 p) p))))))))))))>
8.785 * * * * [progress]: [ 17 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (pow (+ (* x x) (* (* 4 p) p)) 1/2)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.785 * * * * [progress]: [ 18 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (pow (sqrt (+ (* x x) (* (* 4 p) p))) 1)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.786 * * * * [progress]: [ 19 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (exp (log (sqrt (+ (* x x) (* (* 4 p) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.786 * * * * [progress]: [ 20 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (log (exp (sqrt (+ (* x x) (* (* 4 p) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.786 * * * * [progress]: [ 21 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.786 * * * * [progress]: [ 22 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (cbrt (* (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.786 * * * * [progress]: [ 23 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (* (sqrt (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p))))) (sqrt (cbrt (+ (* x x) (* (* 4 p) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.786 * * * * [progress]: [ 24 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (* (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.786 * * * * [progress]: [ 25 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (* (sqrt 1) (sqrt (+ (* x x) (* (* 4 p) p))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.786 * * * * [progress]: [ 26 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (/ (sqrt (+ (pow (* x x) 3) (pow (* (* 4 p) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* 4 p) p) (* (* 4 p) p)) (* (* x x) (* (* 4 p) p))))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.786 * * * * [progress]: [ 27 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (/ (sqrt (- (* (* x x) (* x x)) (* (* (* 4 p) p) (* (* 4 p) p)))) (sqrt (- (* x x) (* (* 4 p) p))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.786 * * * * [progress]: [ 28 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (pow (+ (* x x) (* (* 4 p) p)) (/ 1 2))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.787 * * * * [progress]: [ 29 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (* (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.787 * * * * [progress]: [ 30 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (fabs (sqrt (+ (* x x) (* (* 4 p) p))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.787 * * * * [progress]: [ 31 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (* 1 (sqrt (+ (* x x) (* (* 4 p) p))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.787 * * * * [progress]: [ 32 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* 4 p) p)))))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.787 * * * * [progress]: [ 33 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (pow (+ (* x x) (* (* 4 p) p)) 1/2)))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.787 * * * * [progress]: [ 34 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (pow (sqrt (+ (* x x) (* (* 4 p) p))) 1)))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.787 * * * * [progress]: [ 35 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (exp (log (sqrt (+ (* x x) (* (* 4 p) p)))))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.787 * * * * [progress]: [ 36 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (log (exp (sqrt (+ (* x x) (* (* 4 p) p)))))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.787 * * * * [progress]: [ 37 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (* (* (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.787 * * * * [progress]: [ 38 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (cbrt (* (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p)))))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.787 * * * * [progress]: [ 39 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (* (sqrt (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p))))) (sqrt (cbrt (+ (* x x) (* (* 4 p) p)))))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.788 * * * * [progress]: [ 40 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (* (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.788 * * * * [progress]: [ 41 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (* (sqrt 1) (sqrt (+ (* x x) (* (* 4 p) p))))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.788 * * * * [progress]: [ 42 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (/ (sqrt (+ (pow (* x x) 3) (pow (* (* 4 p) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* 4 p) p) (* (* 4 p) p)) (* (* x x) (* (* 4 p) p))))))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.788 * * * * [progress]: [ 43 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (/ (sqrt (- (* (* x x) (* x x)) (* (* (* 4 p) p) (* (* 4 p) p)))) (sqrt (- (* x x) (* (* 4 p) p))))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.788 * * * * [progress]: [ 44 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (pow (+ (* x x) (* (* 4 p) p)) (/ 1 2))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.788 * * * * [progress]: [ 45 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (* (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (sqrt (+ (* x x) (* (* 4 p) p)))))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.788 * * * * [progress]: [ 46 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (fabs (sqrt (+ (* x x) (* (* 4 p) p))))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.788 * * * * [progress]: [ 47 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (* 1 (sqrt (+ (* x x) (* (* 4 p) p))))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.788 * * * * [progress]: [ 48 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (posit16->real (real->posit16 (sqrt (+ (* x x) (* (* 4 p) p)))))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.788 * * * * [progress]: [ 49 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (pow (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 1) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.788 * * * * [progress]: [ 50 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (exp (- (+ (+ (log x) (log x)) (log x)) (log (+ (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.789 * * * * [progress]: [ 51 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (exp (- (+ (log (* x x)) (log x)) (log (+ (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.789 * * * * [progress]: [ 52 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (exp (- (log (* (* x x) x)) (log (+ (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.789 * * * * [progress]: [ 53 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (exp (log (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.789 * * * * [progress]: [ 54 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (log (exp (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.789 * * * * [progress]: [ 55 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (cbrt (/ (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (* (* (+ (* x x) (* (* 4 p) p)) (+ (* x x) (* (* 4 p) p))) (+ (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.789 * * * * [progress]: [ 56 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (cbrt (/ (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)) (* (* (+ (* x x) (* (* 4 p) p)) (+ (* x x) (* (* 4 p) p))) (+ (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.789 * * * * [progress]: [ 57 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (cbrt (/ (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (* (* (+ (* x x) (* (* 4 p) p)) (+ (* x x) (* (* 4 p) p))) (+ (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.789 * * * * [progress]: [ 58 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (* (* (cbrt (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p)))) (cbrt (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))))) (cbrt (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.789 * * * * [progress]: [ 59 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (cbrt (* (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p)))) (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.789 * * * * [progress]: [ 60 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (* (sqrt (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p)))) (sqrt (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.789 * * * * [progress]: [ 61 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (- (* (* x x) x)) (- (+ (* x x) (* (* 4 p) p)))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.790 * * * * [progress]: [ 62 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (* (/ (* x x) (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p))))) (/ x (cbrt (+ (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.790 * * * * [progress]: [ 63 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (* (/ (* x x) (sqrt (+ (* x x) (* (* 4 p) p)))) (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.790 * * * * [progress]: [ 64 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (* (/ (* x x) 1) (/ x (+ (* x x) (* (* 4 p) p)))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.790 * * * * [progress]: [ 65 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (* 1 (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p)))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.790 * * * * [progress]: [ 66 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (* (* (* x x) x) (/ 1 (+ (* x x) (* (* 4 p) p)))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.790 * * * * [progress]: [ 67 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ 1 (/ (+ (* x x) (* (* 4 p) p)) (* (* x x) x))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.790 * * * * [progress]: [ 68 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (/ (* (* x x) x) (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p))))) (cbrt (+ (* x x) (* (* 4 p) p)))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.790 * * * * [progress]: [ 69 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (/ (* (* x x) x) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p)))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.790 * * * * [progress]: [ 70 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (/ (* (* x x) x) 1) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.790 * * * * [progress]: [ 71 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* x x) (/ (+ (* x x) (* (* 4 p) p)) x)) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.790 * * * * [progress]: [ 72 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (* (/ (* (* x x) x) (+ (pow (* x x) 3) (pow (* (* 4 p) p) 3))) (+ (* (* x x) (* x x)) (- (* (* (* 4 p) p) (* (* 4 p) p)) (* (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.791 * * * * [progress]: [ 73 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (* (/ (* (* x x) x) (- (* (* x x) (* x x)) (* (* (* 4 p) p) (* (* 4 p) p)))) (- (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.791 * * * * [progress]: [ 74 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (posit16->real (real->posit16 (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.791 * * * * [progress]: [ 75 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (* 2 p))))))))>
8.791 * * * * [progress]: [ 76 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) x)))))))>
8.791 * * * * [progress]: [ 77 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (* -1 x))))))))>
8.791 * * * * [progress]: [ 78 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (* 2 p)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.791 * * * * [progress]: [ 79 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) x) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.791 * * * * [progress]: [ 80 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (* -1 x)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.791 * * * * [progress]: [ 81 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (* 2 p)))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.791 * * * * [progress]: [ 82 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) x))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.791 * * * * [progress]: [ 83 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (* -1 x)))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.791 * * * * [progress]: [ 84 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* 0 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.791 * * * * [progress]: [ 85 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* 0 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.792 * * * * [progress]: [ 86 / 86 ] simplifiying candidate #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* 0 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>
8.793 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* (* 4 p) p))))
  (exp (sqrt (+ (* x x) (* (* 4 p) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))))
  (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (* (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p)))))
  (sqrt (cbrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* 4 p) p)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* 4 p) p) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* 4 p) p) (* (* 4 p) p)) (* (* x x) (* (* 4 p) p)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* 4 p) p) (* (* 4 p) p))))
  (sqrt (- (* x x) (* (* 4 p) p)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* 4 p) p))))
  (log (sqrt (+ (* x x) (* (* 4 p) p))))
  (exp (sqrt (+ (* x x) (* (* 4 p) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))))
  (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (* (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p)))))
  (sqrt (cbrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* 4 p) p)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* 4 p) p) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* 4 p) p) (* (* 4 p) p)) (* (* x x) (* (* 4 p) p)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* 4 p) p) (* (* 4 p) p))))
  (sqrt (- (* x x) (* (* 4 p) p)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* 4 p) p))))
  (log (sqrt (+ (* x x) (* (* 4 p) p))))
  (exp (sqrt (+ (* x x) (* (* 4 p) p))))
  (* (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))) (cbrt (sqrt (+ (* x x) (* (* 4 p) p)))))
  (cbrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (* (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p)))))
  (sqrt (cbrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt 1)
  (sqrt (+ (* x x) (* (* 4 p) p)))
  (sqrt (+ (pow (* x x) 3) (pow (* (* 4 p) p) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* (* 4 p) p) (* (* 4 p) p)) (* (* x x) (* (* 4 p) p)))))
  (sqrt (- (* (* x x) (* x x)) (* (* (* 4 p) p) (* (* 4 p) p))))
  (sqrt (- (* x x) (* (* 4 p) p)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (sqrt (sqrt (+ (* x x) (* (* 4 p) p))))
  (real->posit16 (sqrt (+ (* x x) (* (* 4 p) p))))
  (- (+ (+ (log x) (log x)) (log x)) (log (+ (* x x) (* (* 4 p) p))))
  (- (+ (log (* x x)) (log x)) (log (+ (* x x) (* (* 4 p) p))))
  (- (log (* (* x x) x)) (log (+ (* x x) (* (* 4 p) p))))
  (log (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))))
  (exp (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))))
  (/ (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (* (* (+ (* x x) (* (* 4 p) p)) (+ (* x x) (* (* 4 p) p))) (+ (* x x) (* (* 4 p) p))))
  (/ (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)) (* (* (+ (* x x) (* (* 4 p) p)) (+ (* x x) (* (* 4 p) p))) (+ (* x x) (* (* 4 p) p))))
  (/ (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (* (* (+ (* x x) (* (* 4 p) p)) (+ (* x x) (* (* 4 p) p))) (+ (* x x) (* (* 4 p) p))))
  (* (cbrt (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p)))) (cbrt (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p)))))
  (cbrt (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))))
  (* (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p)))) (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))))
  (sqrt (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))))
  (sqrt (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))))
  (- (* (* x x) x))
  (- (+ (* x x) (* (* 4 p) p)))
  (/ (* x x) (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p)))))
  (/ x (cbrt (+ (* x x) (* (* 4 p) p))))
  (/ (* x x) (sqrt (+ (* x x) (* (* 4 p) p))))
  (/ x (sqrt (+ (* x x) (* (* 4 p) p))))
  (/ (* x x) 1)
  (/ x (+ (* x x) (* (* 4 p) p)))
  (/ 1 (+ (* x x) (* (* 4 p) p)))
  (/ (+ (* x x) (* (* 4 p) p)) (* (* x x) x))
  (/ (* (* x x) x) (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p)))))
  (/ (* (* x x) x) (sqrt (+ (* x x) (* (* 4 p) p))))
  (/ (* (* x x) x) 1)
  (/ (+ (* x x) (* (* 4 p) p)) x)
  (/ (* (* x x) x) (+ (pow (* x x) 3) (pow (* (* 4 p) p) 3)))
  (/ (* (* x x) x) (- (* (* x x) (* x x)) (* (* (* 4 p) p) (* (* 4 p) p))))
  (real->posit16 (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))))
  (* 2 p)
  x
  (* -1 x)
  (* 2 p)
  x
  (* -1 x)
  (* 2 p)
  x
  (* -1 x)
  0
  0
  0
8.795 * * [simplify]: iteration 1: (87 enodes)
8.831 * * [simplify]: iteration 2: (233 enodes)
8.920 * * [simplify]: iteration 3: (882 enodes)
9.880 * * [simplify]: Extracting #0: cost 43 inf + 0
9.881 * * [simplify]: Extracting #1: cost 324 inf + 167
9.886 * * [simplify]: Extracting #2: cost 620 inf + 2684
9.913 * * [simplify]: Extracting #3: cost 710 inf + 37966
9.952 * * [simplify]: Extracting #4: cost 337 inf + 148706
10.022 * * [simplify]: Extracting #5: cost 39 inf + 242037
10.091 * * [simplify]: Extracting #6: cost 0 inf + 257019
10.176 * [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 (+ (* (* x x) (- (* x x) (* p (* 4 p)))) (* (* p (* 4 p)) (* 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)))))
  (* (+ (* 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 (+ (* (* x x) (- (* x x) (* p (* 4 p)))) (* (* p (* 4 p)) (* 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)))))
  (* (+ (* 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 (+ (* (* x x) (- (* x x) (* p (* 4 p)))) (* (* p (* 4 p)) (* 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 (/ x (/ (+ (* x x) (* p (* 4 p))) (* x x))))
  (log (/ x (/ (+ (* x x) (* p (* 4 p))) (* x x))))
  (log (/ x (/ (+ (* x x) (* p (* 4 p))) (* x x))))
  (log (/ x (/ (+ (* x x) (* p (* 4 p))) (* x x))))
  (exp (/ x (/ (+ (* x x) (* p (* 4 p))) (* x x))))
  (* (/ x (+ (* x x) (* p (* 4 p)))) (* (/ (* x x) (/ (+ (* x x) (* p (* 4 p))) (* x x))) (/ (* x x) (/ (+ (* x x) (* p (* 4 p))) (* x x)))))
  (* (/ x (+ (* x x) (* p (* 4 p)))) (* (/ (* x x) (/ (+ (* x x) (* p (* 4 p))) (* x x))) (/ (* x x) (/ (+ (* x x) (* p (* 4 p))) (* x x)))))
  (* (/ x (+ (* x x) (* p (* 4 p)))) (* (/ (* x x) (/ (+ (* x x) (* p (* 4 p))) (* x x))) (/ (* x x) (/ (+ (* x x) (* p (* 4 p))) (* x x)))))
  (* (cbrt (/ x (/ (+ (* x x) (* p (* 4 p))) (* x x)))) (cbrt (/ x (/ (+ (* x x) (* p (* 4 p))) (* x x)))))
  (cbrt (/ x (/ (+ (* x x) (* p (* 4 p))) (* x x))))
  (* (/ x (+ (* x x) (* p (* 4 p)))) (* (/ (* x x) (/ (+ (* x x) (* p (* 4 p))) (* x x))) (/ (* x x) (/ (+ (* x x) (* p (* 4 p))) (* x x)))))
  (sqrt (/ x (/ (+ (* x x) (* p (* 4 p))) (* x x))))
  (sqrt (/ x (/ (+ (* x x) (* p (* 4 p))) (* x x))))
  (* (* (- x) x) x)
  (- (* p (* p -4)) (* x x))
  (/ (/ (* x x) (cbrt (+ (* x x) (* p (* 4 p))))) (cbrt (+ (* x x) (* p (* 4 p)))))
  (/ x (cbrt (+ (* x x) (* p (* 4 p)))))
  (/ (* x x) (sqrt (+ (* x x) (* p (* 4 p)))))
  (/ x (sqrt (+ (* x x) (* p (* 4 p)))))
  (* x x)
  (/ x (+ (* x x) (* p (* 4 p))))
  (/ 1 (+ (* x x) (* p (* 4 p))))
  (/ (+ (* x x) (* p (* 4 p))) (* x (* x x)))
  (/ (* x (* x x)) (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p))))))
  (/ (* x x) (/ (sqrt (+ (* x x) (* p (* 4 p)))) x))
  (* x (* x x))
  (/ (+ (* x x) (* p (* 4 p))) x)
  (/ (* x (* x x)) (+ (* (* (* p (* 4 p)) (* p (* 4 p))) (* p (* 4 p))) (* (* x (* x x)) (* x (* x x)))))
  (/ x (/ (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* p (* 4 p)))) (* x x)))
  (real->posit16 (/ x (/ (+ (* x x) (* p (* 4 p))) (* x x))))
  (* p 2)
  x
  (- x)
  (* p 2)
  x
  (- x)
  (* p 2)
  x
  (- x)
  0
  0
  0
10.194 * * * [progress]: adding candidates to table
10.787 * [progress]: [Phase 3 of 3] Extracting.
10.787 * * [regime]: Finding splitpoints for: (#<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (* (* x x) (/ x (+ (* x x) (* (* 4 p) p)))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (* 2 p)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (- x)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (* (* (* x x) x) (/ 1 (+ (* x x) (* (* 4 p) p)))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (cbrt (* (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p)))) (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (exp (log (sqrt (+ (* x x) (* (* 4 p) p)))))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (* (/ (* x x) (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p))))) (/ x (cbrt (+ (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (cbrt (* (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p)))))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>)
10.795 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 4 p) p) x p)
10.795 * * * * [regimes]: Trying to branch on (* (* 4 p) p) from (#<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (* (* x x) (/ x (+ (* x x) (* (* 4 p) p)))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (* 2 p)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (- x)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (* (* (* x x) x) (/ 1 (+ (* x x) (* (* 4 p) p)))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (cbrt (* (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p)))) (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (exp (log (sqrt (+ (* x x) (* (* 4 p) p)))))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (* (/ (* x x) (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p))))) (/ x (cbrt (+ (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (cbrt (* (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p)))))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>)
10.868 * * * * [regimes]: Trying to branch on x from (#<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (* (* x x) (/ x (+ (* x x) (* (* 4 p) p)))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (* 2 p)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (- x)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (* (* (* x x) x) (/ 1 (+ (* x x) (* (* 4 p) p)))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (cbrt (* (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p)))) (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (exp (log (sqrt (+ (* x x) (* (* 4 p) p)))))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (* (/ (* x x) (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p))))) (/ x (cbrt (+ (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (cbrt (* (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p)))))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>)
10.950 * * * * [regimes]: Trying to branch on p from (#<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (* (* x x) (/ x (+ (* x x) (* (* 4 p) p)))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (+ (cbrt (* (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p)))))) (* 0.5 (/ x (sqrt (+ (* x x) (* (* 4 p) p))))))) 0.5)))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (* 2 p)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (- x)) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (* (* (* x x) x) (/ 1 (+ (* x x) (* (* 4 p) p)))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (cbrt (* (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p)))) (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (exp (log (sqrt (+ (* x x) (* (* 4 p) p)))))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (* (/ (* x x) (* (cbrt (+ (* x x) (* (* 4 p) p))) (cbrt (+ (* x x) (* (* 4 p) p))))) (/ x (cbrt (+ (* x x) (* (* 4 p) p))))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))> #<alt (λ (p x) (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (/ (* (* x x) x) (+ (* x x) (* (* 4 p) p))) 0.5) (cbrt (* (* (sqrt (+ (* x x) (* (* 4 p) p))) (sqrt (+ (* x x) (* (* 4 p) p)))) (sqrt (+ (* x x) (* (* 4 p) p)))))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p))))))))))>)
11.012 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
11.013 * [simplify]: Simplifying:
  (sqrt (/ (* (* 0.5 0.5) (+ 0.5 (/ (* (* (* x x) (/ x (+ (* x x) (* (* 4 p) p)))) 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))) (- (* 0.5 0.5) (* (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))) (- 0.5 (/ (* x 0.5) (sqrt (+ (* x x) (* (* 4 p) p)))))))))
11.013 * * [simplify]: iteration 1: (23 enodes)
11.014 * * [simplify]: iteration 2: (32 enodes)
11.016 * * [simplify]: Extracting #0: cost 1 inf + 0
11.016 * * [simplify]: Extracting #1: cost 2 inf + 0
11.016 * * [simplify]: Extracting #2: cost 4 inf + 0
11.016 * * [simplify]: Extracting #3: cost 7 inf + 0
11.016 * * [simplify]: Extracting #4: cost 11 inf + 0
11.016 * * [simplify]: Extracting #5: cost 13 inf + 1
11.016 * * [simplify]: Extracting #6: cost 15 inf + 42
11.016 * * [simplify]: Extracting #7: cost 16 inf + 85
11.016 * * [simplify]: Extracting #8: cost 17 inf + 126
11.016 * * [simplify]: Extracting #9: cost 17 inf + 127
11.016 * * [simplify]: Extracting #10: cost 14 inf + 252
11.016 * * [simplify]: Extracting #11: cost 11 inf + 821
11.017 * * [simplify]: Extracting #12: cost 6 inf + 2320
11.017 * * [simplify]: Extracting #13: cost 2 inf + 4016
11.018 * * [simplify]: Extracting #14: cost 0 inf + 5504
11.019 * [simplify]: Simplified to:
  (sqrt (/ (* (* 0.5 0.5) (+ (/ (* 0.5 (* (* x x) (/ x (+ (* x x) (* p (* 4 p)))))) (sqrt (+ (* x x) (* p (* 4 p))))) 0.5)) (- (* 0.5 0.5) (* (- 0.5 (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p)))))) (/ (* 0.5 x) (sqrt (+ (* x x) (* p (* 4 p)))))))))
14.938 * [regime-testing]: Baseline error score: 13.340520811936868
14.940 * [regime-testing]: Oracle error score: 12.893137118399483
14.945 * [regime-testing]: End program error score: 13.340520811936868
15.003 * [regime-testing]: Target error score: 13.000844325749929