30.646 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.096 * * * [progress]: [2/2] Setting up program. 0.102 * [progress]: [Phase 2 of 3] Improving. 0.102 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.102 * [simplify]: Simplifying: (sqrt (* 0.5 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) 0.103 * * [simplify]: iteration 1: (14 enodes) 0.109 * * [simplify]: iteration 2: (27 enodes) 0.119 * * [simplify]: iteration 3: (34 enodes) 0.129 * * [simplify]: iteration 4: (38 enodes) 0.139 * * [simplify]: iteration 5: (40 enodes) 0.149 * * [simplify]: Extracting #0: cost 1 inf + 0 0.149 * * [simplify]: Extracting #1: cost 2 inf + 0 0.149 * * [simplify]: Extracting #2: cost 5 inf + 0 0.149 * * [simplify]: Extracting #3: cost 12 inf + 1 0.149 * * [simplify]: Extracting #4: cost 10 inf + 45 0.149 * * [simplify]: Extracting #5: cost 12 inf + 45 0.149 * * [simplify]: Extracting #6: cost 15 inf + 86 0.150 * * [simplify]: Extracting #7: cost 11 inf + 171 0.150 * * [simplify]: Extracting #8: cost 10 inf + 253 0.150 * * [simplify]: Extracting #9: cost 8 inf + 619 0.151 * * [simplify]: Extracting #10: cost 2 inf + 2161 0.152 * * [simplify]: Extracting #11: cost 0 inf + 2849 0.153 * [simplify]: Simplified to: (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)) 0.164 * * [progress]: iteration 1 / 4 0.164 * * * [progress]: picking best candidate 0.167 * * * * [pick]: Picked # 0.168 * * * [progress]: localizing error 0.215 * * * [progress]: generating rewritten candidates 0.216 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.229 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.241 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 1 2) 0.255 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.274 * * * [progress]: generating series expansions 0.274 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.275 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p p) 4))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 0.275 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 0.275 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 0.275 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.275 * [taylor]: Taking taylor expansion of x in p 0.275 * [backup-simplify]: Simplify x into x 0.275 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 0.275 * [taylor]: Taking taylor expansion of 4 in p 0.275 * [backup-simplify]: Simplify 4 into 4 0.275 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.275 * [taylor]: Taking taylor expansion of p in p 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.275 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.275 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.275 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 0.276 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 0.276 * [taylor]: Taking taylor expansion of 4 in x 0.277 * [backup-simplify]: Simplify 4 into 4 0.277 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.277 * [taylor]: Taking taylor expansion of p in x 0.277 * [backup-simplify]: Simplify p into p 0.277 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.277 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 0.277 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 0.277 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 0.277 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.278 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 0.279 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 0.279 * [taylor]: Taking taylor expansion of 4 in x 0.279 * [backup-simplify]: Simplify 4 into 4 0.279 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.279 * [taylor]: Taking taylor expansion of p in x 0.279 * [backup-simplify]: Simplify p into p 0.279 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.279 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 0.279 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 0.279 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 0.279 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.280 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 0.281 * [taylor]: Taking taylor expansion of (* 2 p) in p 0.281 * [taylor]: Taking taylor expansion of 2 in p 0.281 * [backup-simplify]: Simplify 2 into 2 0.281 * [taylor]: Taking taylor expansion of p in p 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (* 2 0) into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [taylor]: Taking taylor expansion of 0 in p 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.283 * [backup-simplify]: Simplify 2 into 2 0.283 * [backup-simplify]: Simplify (* 1 1) into 1 0.284 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 0.286 * [backup-simplify]: Simplify (+ 1 0) into 1 0.287 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 0.287 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 0.287 * [taylor]: Taking taylor expansion of 1/4 in p 0.287 * [backup-simplify]: Simplify 1/4 into 1/4 0.287 * [taylor]: Taking taylor expansion of p in p 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 0.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.297 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 0.298 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 0.299 * [taylor]: Taking taylor expansion of 0 in p 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 0.300 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 0.300 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 0.300 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 0.300 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 0.300 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.300 * [taylor]: Taking taylor expansion of 4 in p 0.301 * [backup-simplify]: Simplify 4 into 4 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.301 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.301 * [taylor]: Taking taylor expansion of p in p 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (* 1 1) into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.302 * [taylor]: Taking taylor expansion of x in p 0.302 * [backup-simplify]: Simplify x into x 0.302 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.302 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.302 * [backup-simplify]: Simplify (* 4 1) into 4 0.303 * [backup-simplify]: Simplify (+ 4 0) into 4 0.303 * [backup-simplify]: Simplify (sqrt 4) into 2 0.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 0.307 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.307 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.307 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.307 * [taylor]: Taking taylor expansion of 4 in x 0.307 * [backup-simplify]: Simplify 4 into 4 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.307 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.307 * [taylor]: Taking taylor expansion of p in x 0.307 * [backup-simplify]: Simplify p into p 0.307 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.307 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (* 1 1) into 1 0.308 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [backup-simplify]: Simplify (+ 0 1) into 1 0.309 * [backup-simplify]: Simplify (sqrt 1) into 1 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.311 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.311 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.311 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.311 * [taylor]: Taking taylor expansion of 4 in x 0.311 * [backup-simplify]: Simplify 4 into 4 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.311 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.311 * [taylor]: Taking taylor expansion of p in x 0.311 * [backup-simplify]: Simplify p into p 0.312 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.312 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (* 1 1) into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [backup-simplify]: Simplify (+ 0 1) into 1 0.313 * [backup-simplify]: Simplify (sqrt 1) into 1 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.316 * [taylor]: Taking taylor expansion of 1 in p 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [taylor]: Taking taylor expansion of 0 in p 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 0.321 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 0.321 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 0.321 * [taylor]: Taking taylor expansion of 2 in p 0.321 * [backup-simplify]: Simplify 2 into 2 0.321 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.321 * [taylor]: Taking taylor expansion of p in p 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (* 1 1) into 1 0.322 * [backup-simplify]: Simplify (/ 2 1) into 2 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 0.327 * [taylor]: Taking taylor expansion of 0 in p 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.328 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 0.328 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 0.328 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 0.328 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 0.328 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.328 * [taylor]: Taking taylor expansion of 4 in p 0.328 * [backup-simplify]: Simplify 4 into 4 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.328 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.328 * [taylor]: Taking taylor expansion of p in p 0.328 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (* 1 1) into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.329 * [taylor]: Taking taylor expansion of x in p 0.329 * [backup-simplify]: Simplify x into x 0.329 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.329 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.330 * [backup-simplify]: Simplify (* 4 1) into 4 0.330 * [backup-simplify]: Simplify (+ 4 0) into 4 0.330 * [backup-simplify]: Simplify (sqrt 4) into 2 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 0.332 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.332 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.332 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.332 * [taylor]: Taking taylor expansion of 4 in x 0.332 * [backup-simplify]: Simplify 4 into 4 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.332 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.333 * [taylor]: Taking taylor expansion of p in x 0.333 * [backup-simplify]: Simplify p into p 0.333 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.333 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.333 * [taylor]: Taking taylor expansion of x in x 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 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [backup-simplify]: Simplify (+ 0 1) into 1 0.334 * [backup-simplify]: Simplify (sqrt 1) into 1 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.335 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.335 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.335 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.335 * [taylor]: Taking taylor expansion of 4 in x 0.335 * [backup-simplify]: Simplify 4 into 4 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.336 * [taylor]: Taking taylor expansion of p in x 0.336 * [backup-simplify]: Simplify p into p 0.336 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.336 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (* 1 1) into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [backup-simplify]: Simplify (+ 0 1) into 1 0.337 * [backup-simplify]: Simplify (sqrt 1) into 1 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.338 * [taylor]: Taking taylor expansion of 1 in p 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [taylor]: Taking taylor expansion of 0 in p 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 0.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 0.341 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 0.341 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 0.341 * [taylor]: Taking taylor expansion of 2 in p 0.341 * [backup-simplify]: Simplify 2 into 2 0.341 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.341 * [taylor]: Taking taylor expansion of p in p 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (* 1 1) into 1 0.341 * [backup-simplify]: Simplify (/ 2 1) into 2 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 0.343 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 0.345 * [taylor]: Taking taylor expansion of 0 in p 0.345 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.347 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.347 * [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)))))))) 0.347 * [approximate]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in (x p) around 0 0.347 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in p 0.347 * [taylor]: Taking taylor expansion of 0.5 in p 0.347 * [backup-simplify]: Simplify 0.5 into 0.5 0.347 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in p 0.347 * [taylor]: Taking taylor expansion of 0.5 in p 0.347 * [backup-simplify]: Simplify 0.5 into 0.5 0.347 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p 0.347 * [taylor]: Taking taylor expansion of x in p 0.347 * [backup-simplify]: Simplify x into x 0.347 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p 0.347 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p 0.347 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.347 * [taylor]: Taking taylor expansion of x in p 0.347 * [backup-simplify]: Simplify x into x 0.347 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 0.347 * [taylor]: Taking taylor expansion of 4 in p 0.347 * [backup-simplify]: Simplify 4 into 4 0.347 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.347 * [taylor]: Taking taylor expansion of p in p 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.347 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.347 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.347 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x) 0.347 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0 0.348 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x 0.348 * [taylor]: Taking taylor expansion of 0.5 in x 0.348 * [backup-simplify]: Simplify 0.5 into 0.5 0.348 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x 0.348 * [taylor]: Taking taylor expansion of 0.5 in x 0.348 * [backup-simplify]: Simplify 0.5 into 0.5 0.348 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 0.348 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.349 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 0.349 * [taylor]: Taking taylor expansion of 4 in x 0.349 * [backup-simplify]: Simplify 4 into 4 0.349 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.349 * [taylor]: Taking taylor expansion of p in x 0.349 * [backup-simplify]: Simplify p into p 0.349 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.349 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 0.349 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 0.349 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 0.349 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 0.349 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.350 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 0.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 0.350 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x 0.350 * [taylor]: Taking taylor expansion of 0.5 in x 0.350 * [backup-simplify]: Simplify 0.5 into 0.5 0.350 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x 0.350 * [taylor]: Taking taylor expansion of 0.5 in x 0.350 * [backup-simplify]: Simplify 0.5 into 0.5 0.350 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 0.350 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 0.350 * [taylor]: Taking taylor expansion of 4 in x 0.350 * [backup-simplify]: Simplify 4 into 4 0.350 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.350 * [taylor]: Taking taylor expansion of p in x 0.350 * [backup-simplify]: Simplify p into p 0.350 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.351 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 0.351 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 0.351 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 0.351 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 0.351 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.351 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 0.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 0.352 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0 0.352 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.353 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 0.353 * [taylor]: Taking taylor expansion of 0.5 in p 0.353 * [backup-simplify]: Simplify 0.5 into 0.5 0.353 * [backup-simplify]: Simplify 0.5 into 0.5 0.353 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p)) 0.353 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p)) 0.353 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 p))) into (* 0.25 (/ 1 p)) 0.353 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 p)) in p 0.353 * [taylor]: Taking taylor expansion of 0.25 in p 0.353 * [backup-simplify]: Simplify 0.25 into 0.25 0.353 * [taylor]: Taking taylor expansion of (/ 1 p) in p 0.353 * [taylor]: Taking taylor expansion of p in p 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (* 1 1) into 1 0.357 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 0.358 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 0.358 * [backup-simplify]: Simplify (+ 1 0) into 1 0.359 * [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)))) 0.360 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3)) 0.361 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0))) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [taylor]: Taking taylor expansion of 0 in p 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.366 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 0.368 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [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 0.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (pow p 3)))))) (* 2 (/ 1/2 p))) into 0 0.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -1/16 (pow p 3))) (+ (* 0 0) (* 0 (/ 1/2 p))))) into (- (* 1/16 (/ 1 (pow p 3)))) 0.371 * [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)))) 0.371 * [backup-simplify]: Simplify (+ 0 (- (* 0.03125 (/ 1 (pow p 3))))) into (- (* 0.03125 (/ 1 (pow p 3)))) 0.371 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (pow p 3)))) in p 0.372 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (pow p 3))) in p 0.372 * [taylor]: Taking taylor expansion of 0.03125 in p 0.372 * [backup-simplify]: Simplify 0.03125 into 0.03125 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow p 3)) in p 0.372 * [taylor]: Taking taylor expansion of (pow p 3) in p 0.372 * [taylor]: Taking taylor expansion of p in p 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (* 1 1) into 1 0.373 * [backup-simplify]: Simplify (* 1 1) into 1 0.373 * [backup-simplify]: Simplify (/ 1 1) into 1 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (- 0) into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 0.5 into 0.5 0.380 * [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) 0.380 * [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 0.380 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in p 0.380 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 0.380 * [taylor]: Taking taylor expansion of 0.5 in p 0.380 * [backup-simplify]: Simplify 0.5 into 0.5 0.380 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 0.380 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.380 * [taylor]: Taking taylor expansion of x in p 0.380 * [backup-simplify]: Simplify x into x 0.380 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.380 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 0.380 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 0.380 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 0.380 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.380 * [taylor]: Taking taylor expansion of 4 in p 0.380 * [backup-simplify]: Simplify 4 into 4 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.380 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.380 * [taylor]: Taking taylor expansion of p in p 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (* 1 1) into 1 0.381 * [backup-simplify]: Simplify (/ 1 1) into 1 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.381 * [taylor]: Taking taylor expansion of x in p 0.381 * [backup-simplify]: Simplify x into x 0.381 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.381 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.381 * [backup-simplify]: Simplify (* 4 1) into 4 0.381 * [backup-simplify]: Simplify (+ 4 0) into 4 0.382 * [backup-simplify]: Simplify (/ 1 4) into 1/4 0.382 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 0.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 0.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 0.384 * [taylor]: Taking taylor expansion of 0.5 in p 0.384 * [backup-simplify]: Simplify 0.5 into 0.5 0.384 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x 0.385 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 0.385 * [taylor]: Taking taylor expansion of 0.5 in x 0.385 * [backup-simplify]: Simplify 0.5 into 0.5 0.385 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (/ 1 1) into 1 0.385 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.385 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.385 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.385 * [taylor]: Taking taylor expansion of 4 in x 0.385 * [backup-simplify]: Simplify 4 into 4 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.385 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.385 * [taylor]: Taking taylor expansion of p in x 0.385 * [backup-simplify]: Simplify p into p 0.385 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.385 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (* 1 1) into 1 0.386 * [backup-simplify]: Simplify (/ 1 1) into 1 0.386 * [backup-simplify]: Simplify (+ 0 1) into 1 0.386 * [backup-simplify]: Simplify (/ 1 1) into 1 0.387 * [backup-simplify]: Simplify (sqrt 1) into 1 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.389 * [taylor]: Taking taylor expansion of 0.5 in x 0.389 * [backup-simplify]: Simplify 0.5 into 0.5 0.389 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x 0.389 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 0.389 * [taylor]: Taking taylor expansion of 0.5 in x 0.389 * [backup-simplify]: Simplify 0.5 into 0.5 0.389 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (/ 1 1) into 1 0.389 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.389 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.389 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.389 * [taylor]: Taking taylor expansion of 4 in x 0.389 * [backup-simplify]: Simplify 4 into 4 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.389 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.389 * [taylor]: Taking taylor expansion of p in x 0.389 * [backup-simplify]: Simplify p into p 0.389 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.389 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (* 1 1) into 1 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.390 * [backup-simplify]: Simplify (+ 0 1) into 1 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [backup-simplify]: Simplify (sqrt 1) into 1 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ 0 0) into 0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.393 * [taylor]: Taking taylor expansion of 0.5 in x 0.393 * [backup-simplify]: Simplify 0.5 into 0.5 0.393 * [backup-simplify]: Simplify (* 1 1) into 1 0.393 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.394 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0 0.394 * [taylor]: Taking taylor expansion of 1.0 in p 0.394 * [backup-simplify]: Simplify 1.0 into 1.0 0.394 * [backup-simplify]: Simplify 1.0 into 1.0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.395 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [taylor]: Taking taylor expansion of 0 in p 0.395 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 0.398 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 0.400 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 0.400 * [backup-simplify]: Simplify (+ (- (* 1.0 (/ 1 (pow p 2)))) 0) into (- (* 1.0 (/ 1 (pow p 2)))) 0.400 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow p 2)))) in p 0.400 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p 0.400 * [taylor]: Taking taylor expansion of 1.0 in p 0.401 * [backup-simplify]: Simplify 1.0 into 1.0 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.401 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.401 * [taylor]: Taking taylor expansion of p in p 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (* 1 1) into 1 0.401 * [backup-simplify]: Simplify (/ 1 1) into 1 0.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.407 * [backup-simplify]: Simplify (- 0) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 0.408 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 0.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [taylor]: Taking taylor expansion of 0 in p 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1.0 into 1.0 0.418 * [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)))))))) 0.418 * [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 0.418 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in p 0.418 * [taylor]: Taking taylor expansion of 0.5 in p 0.418 * [backup-simplify]: Simplify 0.5 into 0.5 0.418 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 0.418 * [taylor]: Taking taylor expansion of 0.5 in p 0.418 * [backup-simplify]: Simplify 0.5 into 0.5 0.418 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.419 * [taylor]: Taking taylor expansion of x in p 0.419 * [backup-simplify]: Simplify x into x 0.419 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.419 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 0.419 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 0.419 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 0.419 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.419 * [taylor]: Taking taylor expansion of 4 in p 0.419 * [backup-simplify]: Simplify 4 into 4 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.419 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.419 * [taylor]: Taking taylor expansion of p in p 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (* 1 1) into 1 0.422 * [backup-simplify]: Simplify (/ 1 1) into 1 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.422 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.422 * [taylor]: Taking taylor expansion of x in p 0.422 * [backup-simplify]: Simplify x into x 0.423 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.423 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.423 * [backup-simplify]: Simplify (* 4 1) into 4 0.424 * [backup-simplify]: Simplify (+ 4 0) into 4 0.424 * [backup-simplify]: Simplify (/ 1 4) into 1/4 0.424 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 0.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 0.429 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x 0.429 * [taylor]: Taking taylor expansion of 0.5 in x 0.429 * [backup-simplify]: Simplify 0.5 into 0.5 0.429 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 0.429 * [taylor]: Taking taylor expansion of 0.5 in x 0.429 * [backup-simplify]: Simplify 0.5 into 0.5 0.429 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 0.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (/ 1 1) into 1 0.430 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.430 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.430 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.430 * [taylor]: Taking taylor expansion of 4 in x 0.430 * [backup-simplify]: Simplify 4 into 4 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.430 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.430 * [taylor]: Taking taylor expansion of p in x 0.430 * [backup-simplify]: Simplify p into p 0.430 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.430 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.431 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (* 1 1) into 1 0.432 * [backup-simplify]: Simplify (/ 1 1) into 1 0.432 * [backup-simplify]: Simplify (+ 0 1) into 1 0.432 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [backup-simplify]: Simplify (sqrt 1) into 1 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.436 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x 0.436 * [taylor]: Taking taylor expansion of 0.5 in x 0.436 * [backup-simplify]: Simplify 0.5 into 0.5 0.436 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 0.437 * [taylor]: Taking taylor expansion of 0.5 in x 0.437 * [backup-simplify]: Simplify 0.5 into 0.5 0.437 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.437 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.437 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.437 * [taylor]: Taking taylor expansion of 4 in x 0.437 * [backup-simplify]: Simplify 4 into 4 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.437 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.437 * [taylor]: Taking taylor expansion of p in x 0.437 * [backup-simplify]: Simplify p into p 0.438 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.438 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (* 1 1) into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [backup-simplify]: Simplify (+ 0 1) into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [backup-simplify]: Simplify (sqrt 1) into 1 0.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.444 * [backup-simplify]: Simplify (* 1 1) into 1 0.445 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.445 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.446 * [backup-simplify]: Simplify (+ 0.5 (- 0.5)) into 0 0.446 * [taylor]: Taking taylor expansion of 0 in p 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.448 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.449 * [backup-simplify]: Simplify (- 0) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.449 * [taylor]: Taking taylor expansion of 0 in p 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 0.454 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 0.457 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 0.458 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow p 2))))) into (* 1.0 (/ 1 (pow p 2))) 0.458 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow p 2)))) into (* 1.0 (/ 1 (pow p 2))) 0.458 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p 0.458 * [taylor]: Taking taylor expansion of 1.0 in p 0.458 * [backup-simplify]: Simplify 1.0 into 1.0 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.458 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.458 * [taylor]: Taking taylor expansion of p in p 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.459 * [backup-simplify]: Simplify (* 1 1) into 1 0.459 * [backup-simplify]: Simplify (/ 1 1) into 1 0.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 1 2) 0.464 * [backup-simplify]: Simplify (* (* p p) 4) into (* 4 (pow p 2)) 0.464 * [approximate]: Taking taylor expansion of (* 4 (pow p 2)) in (p) around 0 0.464 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 0.464 * [taylor]: Taking taylor expansion of 4 in p 0.464 * [backup-simplify]: Simplify 4 into 4 0.464 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.464 * [taylor]: Taking taylor expansion of p in p 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 0.464 * [taylor]: Taking taylor expansion of 4 in p 0.464 * [backup-simplify]: Simplify 4 into 4 0.464 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.464 * [taylor]: Taking taylor expansion of p in p 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (* 1 1) into 1 0.466 * [backup-simplify]: Simplify (* 4 1) into 4 0.466 * [backup-simplify]: Simplify 4 into 4 0.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.467 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.469 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 0.469 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.472 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.474 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.474 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.481 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 0.482 * [backup-simplify]: Simplify (* (* (/ 1 p) (/ 1 p)) 4) into (/ 4 (pow p 2)) 0.482 * [approximate]: Taking taylor expansion of (/ 4 (pow p 2)) in (p) around 0 0.482 * [taylor]: Taking taylor expansion of (/ 4 (pow p 2)) in p 0.482 * [taylor]: Taking taylor expansion of 4 in p 0.482 * [backup-simplify]: Simplify 4 into 4 0.482 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.482 * [taylor]: Taking taylor expansion of p in p 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (* 1 1) into 1 0.483 * [backup-simplify]: Simplify (/ 4 1) into 4 0.483 * [taylor]: Taking taylor expansion of (/ 4 (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 (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 0.483 * [backup-simplify]: Simplify (* 1 1) into 1 0.484 * [backup-simplify]: Simplify (/ 4 1) into 4 0.484 * [backup-simplify]: Simplify 4 into 4 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.499 * [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 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (* 4 (pow (/ 1 (/ 1 p)) 2)) into (* 4 (pow p 2)) 0.499 * [backup-simplify]: Simplify (* (* (/ 1 (- p)) (/ 1 (- p))) 4) into (/ 4 (pow p 2)) 0.499 * [approximate]: Taking taylor expansion of (/ 4 (pow p 2)) in (p) around 0 0.499 * [taylor]: Taking taylor expansion of (/ 4 (pow p 2)) in p 0.499 * [taylor]: Taking taylor expansion of 4 in p 0.499 * [backup-simplify]: Simplify 4 into 4 0.499 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.499 * [taylor]: Taking taylor expansion of p in p 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify (* 1 1) into 1 0.500 * [backup-simplify]: Simplify (/ 4 1) into 4 0.500 * [taylor]: Taking taylor expansion of (/ 4 (pow p 2)) in p 0.500 * [taylor]: Taking taylor expansion of 4 in p 0.500 * [backup-simplify]: Simplify 4 into 4 0.500 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.500 * [taylor]: Taking taylor expansion of p in p 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (/ 4 1) into 4 0.501 * [backup-simplify]: Simplify 4 into 4 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.516 * [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 0.516 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify (* 4 (pow (/ 1 (/ 1 (- p))) 2)) into (* 4 (pow p 2)) 0.517 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 0.517 * [backup-simplify]: Simplify (/ x (sqrt (+ (* x x) (* (* p p) 4)))) into (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) 0.517 * [approximate]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in (x p) around 0 0.517 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p 0.517 * [taylor]: Taking taylor expansion of x in p 0.517 * [backup-simplify]: Simplify x into x 0.517 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p 0.517 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p 0.517 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 0.517 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.517 * [taylor]: Taking taylor expansion of x in p 0.517 * [backup-simplify]: Simplify x into x 0.517 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 0.517 * [taylor]: Taking taylor expansion of 4 in p 0.517 * [backup-simplify]: Simplify 4 into 4 0.517 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.517 * [taylor]: Taking taylor expansion of p in p 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.518 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.518 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.518 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x) 0.518 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.518 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0 0.519 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 0.519 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 0.519 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 0.519 * [taylor]: Taking taylor expansion of 4 in x 0.519 * [backup-simplify]: Simplify 4 into 4 0.519 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.519 * [taylor]: Taking taylor expansion of p in x 0.519 * [backup-simplify]: Simplify p into p 0.519 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.519 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 0.519 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 0.520 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 0.520 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 0.520 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.521 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 0.521 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 0.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 0.521 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 0.521 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 0.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 0.522 * [taylor]: Taking taylor expansion of 4 in x 0.522 * [backup-simplify]: Simplify 4 into 4 0.522 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.522 * [taylor]: Taking taylor expansion of p in x 0.522 * [backup-simplify]: Simplify p into p 0.522 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.522 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 0.522 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 0.522 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 0.522 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 0.522 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.523 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 0.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 0.524 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0 0.524 * [taylor]: Taking taylor expansion of 0 in p 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p)) 0.525 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 p)) in p 0.525 * [taylor]: Taking taylor expansion of 1/2 in p 0.525 * [backup-simplify]: Simplify 1/2 into 1/2 0.525 * [taylor]: Taking taylor expansion of (/ 1 p) in p 0.525 * [taylor]: Taking taylor expansion of p in p 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (/ 1 1) into 1 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify (* 1 1) into 1 0.528 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 0.528 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 0.529 * [backup-simplify]: Simplify (+ 1 0) into 1 0.529 * [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)))) 0.530 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3)) 0.531 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0 0.531 * [taylor]: Taking taylor expansion of 0 in p 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify (/ (/ 1 x) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4)))) into (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) 0.534 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in (x p) around 0 0.534 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 0.534 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.534 * [taylor]: Taking taylor expansion of x in p 0.534 * [backup-simplify]: Simplify x into x 0.534 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.534 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 0.534 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 0.534 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 0.534 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.534 * [taylor]: Taking taylor expansion of 4 in p 0.534 * [backup-simplify]: Simplify 4 into 4 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.534 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.534 * [taylor]: Taking taylor expansion of p in p 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [backup-simplify]: Simplify (* 1 1) into 1 0.535 * [backup-simplify]: Simplify (/ 1 1) into 1 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.535 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.535 * [taylor]: Taking taylor expansion of x in p 0.535 * [backup-simplify]: Simplify x into x 0.535 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.535 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.536 * [backup-simplify]: Simplify (* 4 1) into 4 0.536 * [backup-simplify]: Simplify (+ 4 0) into 4 0.536 * [backup-simplify]: Simplify (/ 1 4) into 1/4 0.537 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 0.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.539 * [backup-simplify]: Simplify (+ 0 0) into 0 0.540 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 0.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 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 0.542 * [backup-simplify]: Simplify (/ 1 1) into 1 0.542 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.542 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.542 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.542 * [taylor]: Taking taylor expansion of 4 in x 0.542 * [backup-simplify]: Simplify 4 into 4 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.542 * [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 0.543 * [backup-simplify]: Simplify (* 1 1) into 1 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [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 0.546 * [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 0.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.548 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (/ 1 1) into 1 0.548 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.548 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.548 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.548 * [taylor]: Taking taylor expansion of 4 in x 0.548 * [backup-simplify]: Simplify 4 into 4 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.548 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.548 * [taylor]: Taking taylor expansion of p in x 0.548 * [backup-simplify]: Simplify p into p 0.549 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.549 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [backup-simplify]: Simplify (* 1 1) into 1 0.550 * [backup-simplify]: Simplify (/ 1 1) into 1 0.550 * [backup-simplify]: Simplify (+ 0 1) into 1 0.550 * [backup-simplify]: Simplify (/ 1 1) into 1 0.551 * [backup-simplify]: Simplify (sqrt 1) into 1 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (+ 0 0) into 0 0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.555 * [backup-simplify]: Simplify (* 1 1) into 1 0.555 * [taylor]: Taking taylor expansion of 1 in p 0.555 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.557 * [taylor]: Taking taylor expansion of 0 in p 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 0.562 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 0.564 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow p 2)))) in p 0.564 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow p 2))) in p 0.564 * [taylor]: Taking taylor expansion of 2 in p 0.564 * [backup-simplify]: Simplify 2 into 2 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.564 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.564 * [taylor]: Taking taylor expansion of p in p 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (* 1 1) into 1 0.565 * [backup-simplify]: Simplify (/ 1 1) into 1 0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (- 0) into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4)))) into (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.573 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in (x p) around 0 0.573 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 0.573 * [taylor]: Taking taylor expansion of -1 in p 0.573 * [backup-simplify]: Simplify -1 into -1 0.573 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 0.573 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.573 * [taylor]: Taking taylor expansion of x in p 0.573 * [backup-simplify]: Simplify x into x 0.573 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.573 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 0.573 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 0.574 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 0.574 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.574 * [taylor]: Taking taylor expansion of 4 in p 0.574 * [backup-simplify]: Simplify 4 into 4 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.574 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.574 * [taylor]: Taking taylor expansion of p in p 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 1 into 1 0.574 * [backup-simplify]: Simplify (* 1 1) into 1 0.575 * [backup-simplify]: Simplify (/ 1 1) into 1 0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.575 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.575 * [taylor]: Taking taylor expansion of x in p 0.575 * [backup-simplify]: Simplify x into x 0.575 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.575 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.576 * [backup-simplify]: Simplify (* 4 1) into 4 0.576 * [backup-simplify]: Simplify (+ 4 0) into 4 0.577 * [backup-simplify]: Simplify (/ 1 4) into 1/4 0.577 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.582 * [backup-simplify]: Simplify (+ 0 0) into 0 0.583 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 0.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 0.584 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 0.584 * [taylor]: Taking taylor expansion of -1 in x 0.584 * [backup-simplify]: Simplify -1 into -1 0.584 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.585 * [backup-simplify]: Simplify (/ 1 1) into 1 0.585 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.585 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.585 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.585 * [taylor]: Taking taylor expansion of 4 in x 0.585 * [backup-simplify]: Simplify 4 into 4 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.585 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.585 * [taylor]: Taking taylor expansion of p in x 0.585 * [backup-simplify]: Simplify p into p 0.585 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.585 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.585 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.586 * [backup-simplify]: Simplify (* 1 1) into 1 0.586 * [backup-simplify]: Simplify (/ 1 1) into 1 0.586 * [backup-simplify]: Simplify (+ 0 1) into 1 0.587 * [backup-simplify]: Simplify (/ 1 1) into 1 0.587 * [backup-simplify]: Simplify (sqrt 1) into 1 0.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (+ 0 0) into 0 0.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.591 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 0.591 * [taylor]: Taking taylor expansion of -1 in x 0.591 * [backup-simplify]: Simplify -1 into -1 0.591 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (/ 1 1) into 1 0.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.592 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.592 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.592 * [taylor]: Taking taylor expansion of 4 in x 0.592 * [backup-simplify]: Simplify 4 into 4 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.592 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.592 * [taylor]: Taking taylor expansion of p in x 0.592 * [backup-simplify]: Simplify p into p 0.592 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.592 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.593 * [backup-simplify]: Simplify (* 1 1) into 1 0.593 * [backup-simplify]: Simplify (/ 1 1) into 1 0.594 * [backup-simplify]: Simplify (+ 0 1) into 1 0.594 * [backup-simplify]: Simplify (/ 1 1) into 1 0.595 * [backup-simplify]: Simplify (sqrt 1) into 1 0.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (+ 0 0) into 0 0.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.599 * [backup-simplify]: Simplify (* 1 1) into 1 0.599 * [backup-simplify]: Simplify (* -1 1) into -1 0.599 * [taylor]: Taking taylor expansion of -1 in p 0.599 * [backup-simplify]: Simplify -1 into -1 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.602 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.602 * [taylor]: Taking taylor expansion of 0 in p 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.605 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 0.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 0.607 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.609 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 0.610 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (* 2 (/ 1 (pow p 2))) 0.610 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow p 2))) in p 0.610 * [taylor]: Taking taylor expansion of 2 in p 0.610 * [backup-simplify]: Simplify 2 into 2 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.611 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.611 * [taylor]: Taking taylor expansion of p in p 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [backup-simplify]: Simplify (* 1 1) into 1 0.612 * [backup-simplify]: Simplify (/ 1 1) into 1 0.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * * * [progress]: simplifying candidates 0.619 * * * * [progress]: [ 1 / 102 ] simplifiying candidate # 0.619 * * * * [progress]: [ 2 / 102 ] simplifiying candidate # 0.620 * * * * [progress]: [ 3 / 102 ] simplifiying candidate # 0.620 * * * * [progress]: [ 4 / 102 ] simplifiying candidate # 0.620 * * * * [progress]: [ 5 / 102 ] simplifiying candidate # 0.620 * * * * [progress]: [ 6 / 102 ] simplifiying candidate # 0.620 * * * * [progress]: [ 7 / 102 ] simplifiying candidate # 0.620 * * * * [progress]: [ 8 / 102 ] simplifiying candidate # 0.620 * * * * [progress]: [ 9 / 102 ] simplifiying candidate # 0.620 * * * * [progress]: [ 10 / 102 ] simplifiying candidate # 0.620 * * * * [progress]: [ 11 / 102 ] simplifiying candidate # 0.620 * * * * [progress]: [ 12 / 102 ] simplifiying candidate # 0.620 * * * * [progress]: [ 13 / 102 ] simplifiying candidate # 0.620 * * * * [progress]: [ 14 / 102 ] simplifiying candidate # 0.621 * * * * [progress]: [ 15 / 102 ] simplifiying candidate # 0.621 * * * * [progress]: [ 16 / 102 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))> 0.621 * * * * [progress]: [ 17 / 102 ] simplifiying candidate # 0.621 * * * * [progress]: [ 18 / 102 ] simplifiying candidate # 0.621 * * * * [progress]: [ 19 / 102 ] simplifiying candidate # 0.621 * * * * [progress]: [ 20 / 102 ] simplifiying candidate # 0.621 * * * * [progress]: [ 21 / 102 ] simplifiying candidate # 0.621 * * * * [progress]: [ 22 / 102 ] simplifiying candidate # 0.621 * * * * [progress]: [ 23 / 102 ] simplifiying candidate # 0.621 * * * * [progress]: [ 24 / 102 ] simplifiying candidate # 0.621 * * * * [progress]: [ 25 / 102 ] simplifiying candidate # 0.621 * * * * [progress]: [ 26 / 102 ] simplifiying candidate # 0.621 * * * * [progress]: [ 27 / 102 ] simplifiying candidate #real (real->posit16 (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))))> 0.621 * * * * [progress]: [ 28 / 102 ] simplifiying candidate # 0.621 * * * * [progress]: [ 29 / 102 ] simplifiying candidate # 0.621 * * * * [progress]: [ 30 / 102 ] simplifiying candidate # 0.622 * * * * [progress]: [ 31 / 102 ] simplifiying candidate # 0.622 * * * * [progress]: [ 32 / 102 ] simplifiying candidate # 0.622 * * * * [progress]: [ 33 / 102 ] simplifiying candidate # 0.622 * * * * [progress]: [ 34 / 102 ] simplifiying candidate # 0.622 * * * * [progress]: [ 35 / 102 ] simplifiying candidate # 0.622 * * * * [progress]: [ 36 / 102 ] simplifiying candidate # 0.622 * * * * [progress]: [ 37 / 102 ] simplifiying candidate # 0.622 * * * * [progress]: [ 38 / 102 ] simplifiying candidate # 0.622 * * * * [progress]: [ 39 / 102 ] simplifiying candidate # 0.622 * * * * [progress]: [ 40 / 102 ] simplifiying candidate # 0.622 * * * * [progress]: [ 41 / 102 ] simplifiying candidate # 0.622 * * * * [progress]: [ 42 / 102 ] simplifiying candidate # 0.622 * * * * [progress]: [ 43 / 102 ] simplifiying candidate # 0.622 * * * * [progress]: [ 44 / 102 ] simplifiying candidate # 0.622 * * * * [progress]: [ 45 / 102 ] simplifiying candidate # 0.622 * * * * [progress]: [ 46 / 102 ] simplifiying candidate # 0.623 * * * * [progress]: [ 47 / 102 ] simplifiying candidate #real (real->posit16 (* (* p p) 4))))))) 0.5)))> 0.623 * * * * [progress]: [ 48 / 102 ] simplifiying candidate # 0.623 * * * * [progress]: [ 49 / 102 ] simplifiying candidate # 0.623 * * * * [progress]: [ 50 / 102 ] simplifiying candidate # 0.623 * * * * [progress]: [ 51 / 102 ] simplifiying candidate # 0.623 * * * * [progress]: [ 52 / 102 ] simplifiying candidate # 0.623 * * * * [progress]: [ 53 / 102 ] simplifiying candidate # 0.623 * * * * [progress]: [ 54 / 102 ] simplifiying candidate # 0.623 * * * * [progress]: [ 55 / 102 ] simplifiying candidate # 0.623 * * * * [progress]: [ 56 / 102 ] simplifiying candidate # 0.623 * * * * [progress]: [ 57 / 102 ] simplifiying candidate # 0.623 * * * * [progress]: [ 58 / 102 ] simplifiying candidate # 0.623 * * * * [progress]: [ 59 / 102 ] simplifiying candidate # 0.623 * * * * [progress]: [ 60 / 102 ] simplifiying candidate # 0.623 * * * * [progress]: [ 61 / 102 ] simplifiying candidate # 0.623 * * * * [progress]: [ 62 / 102 ] simplifiying candidate # 0.624 * * * * [progress]: [ 63 / 102 ] simplifiying candidate # 0.624 * * * * [progress]: [ 64 / 102 ] simplifiying candidate # 0.624 * * * * [progress]: [ 65 / 102 ] simplifiying candidate # 0.624 * * * * [progress]: [ 66 / 102 ] simplifiying candidate # 0.624 * * * * [progress]: [ 67 / 102 ] simplifiying candidate # 0.624 * * * * [progress]: [ 68 / 102 ] simplifiying candidate # 0.624 * * * * [progress]: [ 69 / 102 ] simplifiying candidate # 0.624 * * * * [progress]: [ 70 / 102 ] simplifiying candidate # 0.624 * * * * [progress]: [ 71 / 102 ] simplifiying candidate # 0.624 * * * * [progress]: [ 72 / 102 ] simplifiying candidate # 0.624 * * * * [progress]: [ 73 / 102 ] simplifiying candidate # 0.624 * * * * [progress]: [ 74 / 102 ] simplifiying candidate # 0.624 * * * * [progress]: [ 75 / 102 ] simplifiying candidate # 0.624 * * * * [progress]: [ 76 / 102 ] simplifiying candidate # 0.624 * * * * [progress]: [ 77 / 102 ] simplifiying candidate # 0.624 * * * * [progress]: [ 78 / 102 ] simplifiying candidate # 0.625 * * * * [progress]: [ 79 / 102 ] simplifiying candidate # 0.625 * * * * [progress]: [ 80 / 102 ] simplifiying candidate # 0.625 * * * * [progress]: [ 81 / 102 ] simplifiying candidate # 0.625 * * * * [progress]: [ 82 / 102 ] simplifiying candidate # 0.625 * * * * [progress]: [ 83 / 102 ] simplifiying candidate # 0.625 * * * * [progress]: [ 84 / 102 ] simplifiying candidate # 0.625 * * * * [progress]: [ 85 / 102 ] simplifiying candidate # 0.625 * * * * [progress]: [ 86 / 102 ] simplifiying candidate # 0.625 * * * * [progress]: [ 87 / 102 ] simplifiying candidate # 0.625 * * * * [progress]: [ 88 / 102 ] simplifiying candidate # 0.625 * * * * [progress]: [ 89 / 102 ] simplifiying candidate # 0.625 * * * * [progress]: [ 90 / 102 ] simplifiying candidate #real (real->posit16 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))> 0.625 * * * * [progress]: [ 91 / 102 ] simplifiying candidate # 0.625 * * * * [progress]: [ 92 / 102 ] simplifiying candidate # 0.625 * * * * [progress]: [ 93 / 102 ] simplifiying candidate # 0.625 * * * * [progress]: [ 94 / 102 ] simplifiying candidate # 0.625 * * * * [progress]: [ 95 / 102 ] simplifiying candidate # 0.626 * * * * [progress]: [ 96 / 102 ] simplifiying candidate # 0.626 * * * * [progress]: [ 97 / 102 ] simplifiying candidate # 0.626 * * * * [progress]: [ 98 / 102 ] simplifiying candidate # 0.626 * * * * [progress]: [ 99 / 102 ] simplifiying candidate # 0.626 * * * * [progress]: [ 100 / 102 ] simplifiying candidate # 0.626 * * * * [progress]: [ 101 / 102 ] simplifiying candidate # 0.626 * * * * [progress]: [ 102 / 102 ] simplifiying candidate # 0.628 * [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)) (- (log x) (log (sqrt (+ (* x x) (* (* p p) 4))))) (log (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (exp (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (/ (* (* x x) x) (* (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (+ (* x x) (* (* p p) 4))))) (* (cbrt (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (cbrt (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (cbrt (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (sqrt (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (sqrt (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (- x) (- (sqrt (+ (* x x) (* (* p p) 4)))) (/ (* (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))))) (/ (* (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))))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) (/ (* (cbrt x) (cbrt x)) (sqrt 1)) (/ (cbrt x) (sqrt (+ (* x x) (* (* p p) 4)))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (sqrt (+ (* x x) (* (* p p) 4)))) (/ (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))))) (/ (sqrt x) (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4)))))) (/ (sqrt x) (sqrt (cbrt (+ (* x x) (* (* p p) 4))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) (/ (sqrt x) (sqrt 1)) (/ (sqrt x) (sqrt (+ (* x x) (* (* p p) 4)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) (/ (sqrt x) 1) (/ (sqrt x) (sqrt (+ (* x x) (* (* p p) 4)))) (/ 1 (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))) (/ x (cbrt (sqrt (+ (* x x) (* (* p p) 4))))) (/ 1 (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4)))))) (/ x (sqrt (cbrt (+ (* x x) (* (* p p) 4))))) (/ 1 (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) (/ x (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) (/ 1 (sqrt 1)) (/ x (sqrt (+ (* x x) (* (* p p) 4)))) (/ 1 (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) (/ x (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) (/ 1 1) (/ x (sqrt (+ (* x x) (* (* p p) 4)))) (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))) (/ (sqrt (+ (* x x) (* (* p p) 4))) x) (/ x (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))) (/ x (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4)))))) (/ x (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) (/ x (sqrt 1)) (/ x (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) (/ x 1) (/ (sqrt (+ (* x x) (* (* p p) 4))) (cbrt x)) (/ (sqrt (+ (* x x) (* (* p p) 4))) (sqrt x)) (/ (sqrt (+ (* x x) (* (* p p) 4))) x) (/ x (sqrt (+ (pow (* x x) 3) (pow (* (* p p) 4) 3)))) (/ x (sqrt (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4))))) (real->posit16 (/ 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 0.631 * * [simplify]: iteration 1: (152 enodes) 0.707 * * [simplify]: iteration 2: (331 enodes) 0.899 * * [simplify]: iteration 3: (881 enodes) 1.572 * * [simplify]: Extracting #0: cost 83 inf + 0 1.573 * * [simplify]: Extracting #1: cost 340 inf + 6 1.575 * * [simplify]: Extracting #2: cost 530 inf + 2549 1.580 * * [simplify]: Extracting #3: cost 596 inf + 16191 1.588 * * [simplify]: Extracting #4: cost 489 inf + 35919 1.614 * * [simplify]: Extracting #5: cost 308 inf + 72356 1.669 * * [simplify]: Extracting #6: cost 93 inf + 147436 1.724 * * [simplify]: Extracting #7: cost 1 inf + 186263 1.778 * * [simplify]: Extracting #8: cost 0 inf + 186707 1.848 * [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))))) (* (sqrt (+ (* x x) (* 4 (* p p)))) (+ (* 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) (* 4 (* p p))) (- (* x x) (* 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 (/ 0.5 (/ (sqrt (+ (* x x) (* 4 (* p p)))) x)))) (log (+ 0.5 (/ 0.5 (/ (sqrt (+ (* x x) (* 4 (* p p)))) x)))) (exp (+ 0.5 (/ 0.5 (/ (sqrt (+ (* x x) (* 4 (* p p)))) x)))) (* (cbrt (+ 0.5 (/ 0.5 (/ (sqrt (+ (* x x) (* 4 (* p p)))) x)))) (cbrt (+ 0.5 (/ 0.5 (/ (sqrt (+ (* x x) (* 4 (* p p)))) x))))) (cbrt (+ 0.5 (/ 0.5 (/ (sqrt (+ (* x x) (* 4 (* p p)))) x)))) (* (* (+ 0.5 (/ 0.5 (/ (sqrt (+ (* x x) (* 4 (* p p)))) x))) (+ 0.5 (/ 0.5 (/ (sqrt (+ (* x x) (* 4 (* p p)))) x)))) (+ 0.5 (/ 0.5 (/ (sqrt (+ (* x x) (* 4 (* p p)))) x)))) (sqrt (+ 0.5 (/ 0.5 (/ (sqrt (+ (* x x) (* 4 (* p p)))) x)))) (sqrt (+ 0.5 (/ 0.5 (/ (sqrt (+ (* x x) (* 4 (* p p)))) x)))) (* 0.5 (+ (* (* (/ (* x x) (+ (* x x) (* 4 (* p p)))) (* 0.5 0.5)) (/ x (sqrt (+ (* x x) (* 4 (* p p)))))) (* 0.5 0.5))) (- (* 0.5 0.5) (* (/ 0.5 (/ (sqrt (+ (* x x) (* 4 (* p p)))) x)) (- 0.5 (/ 0.5 (/ (sqrt (+ (* x x) (* 4 (* p p)))) x))))) (- (* (/ (* x x) (+ (* x x) (* 4 (* p p)))) (* 0.5 0.5)) (* 0.5 0.5)) (- (/ 0.5 (/ (sqrt (+ (* x x) (* 4 (* p p)))) x)) 0.5) (real->posit16 (+ 0.5 (/ 0.5 (/ (sqrt (+ (* x x) (* 4 (* p p)))) x)))) (* 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) (* (* p (cbrt 4)) (* p (cbrt 4))) (* (* p 2) p) (* p p) (* 4 p) (real->posit16 (* 4 (* p p))) (log (/ x (sqrt (+ (* x x) (* 4 (* p p)))))) (log (/ x (sqrt (+ (* x x) (* 4 (* p p)))))) (exp (/ x (sqrt (+ (* x x) (* 4 (* p p)))))) (/ (/ (* x x) (/ (+ (* x x) (* 4 (* p p))) x)) (sqrt (+ (* x x) (* 4 (* p p))))) (* (cbrt (/ x (sqrt (+ (* x x) (* 4 (* p p)))))) (cbrt (/ x (sqrt (+ (* x x) (* 4 (* p p))))))) (cbrt (/ x (sqrt (+ (* x x) (* 4 (* p p)))))) (/ (/ (* x x) (/ (+ (* x x) (* 4 (* p p))) x)) (sqrt (+ (* x x) (* 4 (* p p))))) (sqrt (/ x (sqrt (+ (* x x) (* 4 (* p p)))))) (sqrt (/ x (sqrt (+ (* x x) (* 4 (* p p)))))) (- x) (- (sqrt (+ (* x x) (* 4 (* p p))))) (* (/ (cbrt x) (cbrt (sqrt (+ (* x x) (* 4 (* p p)))))) (/ (cbrt x) (cbrt (sqrt (+ (* x x) (* 4 (* p p))))))) (/ (cbrt x) (cbrt (sqrt (+ (* x x) (* 4 (* p p)))))) (/ (cbrt x) (/ (fabs (cbrt (+ (* x x) (* 4 (* p p))))) (cbrt x))) (/ (cbrt x) (sqrt (cbrt (+ (* x x) (* 4 (* p p)))))) (* (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* 4 (* p p)))))) (cbrt x)) (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* 4 (* p p)))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (sqrt (+ (* x x) (* 4 (* p p))))) (* (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* 4 (* p p)))))) (cbrt x)) (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* 4 (* p p)))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (sqrt (+ (* x x) (* 4 (* p p))))) (/ (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)))))) (/ (sqrt x) (fabs (cbrt (+ (* x x) (* 4 (* p p)))))) (/ (sqrt x) (sqrt (cbrt (+ (* x x) (* 4 (* p p)))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* 4 (* p p)))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* 4 (* p p)))))) (sqrt x) (/ (sqrt x) (sqrt (+ (* x x) (* 4 (* p p))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* 4 (* p p)))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* 4 (* p p)))))) (sqrt x) (/ (sqrt x) (sqrt (+ (* x x) (* 4 (* p p))))) (/ 1 (* (cbrt (sqrt (+ (* x x) (* 4 (* p p))))) (cbrt (sqrt (+ (* x x) (* 4 (* p p))))))) (/ x (cbrt (sqrt (+ (* x x) (* 4 (* p p)))))) (/ 1 (fabs (cbrt (+ (* x x) (* 4 (* p p)))))) (/ x (sqrt (cbrt (+ (* x x) (* 4 (* p p)))))) (/ 1 (sqrt (sqrt (+ (* x x) (* 4 (* p p)))))) (/ x (sqrt (sqrt (+ (* x x) (* 4 (* p p)))))) 1 (/ x (sqrt (+ (* x x) (* 4 (* p p))))) (/ 1 (sqrt (sqrt (+ (* x x) (* 4 (* p p)))))) (/ x (sqrt (sqrt (+ (* x x) (* 4 (* p p)))))) 1 (/ x (sqrt (+ (* x x) (* 4 (* p p))))) (/ 1 (sqrt (+ (* x x) (* 4 (* p p))))) (/ (sqrt (+ (* x x) (* 4 (* p p)))) x) (/ x (* (cbrt (sqrt (+ (* x x) (* 4 (* p p))))) (cbrt (sqrt (+ (* x x) (* 4 (* p p))))))) (/ x (fabs (cbrt (+ (* x x) (* 4 (* p p)))))) (/ x (sqrt (sqrt (+ (* x x) (* 4 (* p p)))))) x (/ x (sqrt (sqrt (+ (* x x) (* 4 (* p p)))))) x (/ (sqrt (+ (* x x) (* 4 (* p p)))) (cbrt x)) (/ (sqrt (+ (* x x) (* 4 (* p p)))) (sqrt x)) (/ (sqrt (+ (* x x) (* 4 (* p p)))) x) (/ x (sqrt (+ (* 64 (* (* (* p p) (* p p)) (* p p))) (* (* x x) (* (* x x) (* x x)))))) (/ x (sqrt (* (+ (* x x) (* 4 (* p p))) (- (* x x) (* 4 (* p p)))))) (real->posit16 (/ x (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 1.859 * * * [progress]: adding candidates to table 2.736 * * [progress]: iteration 2 / 4 2.736 * * * [progress]: picking best candidate 2.813 * * * * [pick]: Picked # 2.813 * * * [progress]: localizing error 2.869 * * * [progress]: generating rewritten candidates 2.869 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 2.889 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.922 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 2.950 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2 1 2) 2.967 * * * [progress]: generating series expansions 2.967 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 2.967 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p p) 4))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 2.967 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 2.967 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 2.967 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 2.967 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.967 * [taylor]: Taking taylor expansion of x in p 2.967 * [backup-simplify]: Simplify x into x 2.967 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 2.967 * [taylor]: Taking taylor expansion of 4 in p 2.967 * [backup-simplify]: Simplify 4 into 4 2.967 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.967 * [taylor]: Taking taylor expansion of p in p 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 1 into 1 2.967 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.967 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.967 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 2.967 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.968 * [backup-simplify]: Simplify (+ 0 0) into 0 2.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 2.968 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 2.968 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 2.968 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.968 * [taylor]: Taking taylor expansion of x in x 2.968 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify 1 into 1 2.968 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 2.968 * [taylor]: Taking taylor expansion of 4 in x 2.968 * [backup-simplify]: Simplify 4 into 4 2.968 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.968 * [taylor]: Taking taylor expansion of p in x 2.968 * [backup-simplify]: Simplify p into p 2.968 * [backup-simplify]: Simplify (* p p) into (pow p 2) 2.968 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 2.968 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 2.969 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 2.969 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 2.969 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 2.969 * [backup-simplify]: Simplify (+ 0 0) into 0 2.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 2.970 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 2.970 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 2.970 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.970 * [taylor]: Taking taylor expansion of x in x 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 1 into 1 2.970 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 2.970 * [taylor]: Taking taylor expansion of 4 in x 2.970 * [backup-simplify]: Simplify 4 into 4 2.970 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.970 * [taylor]: Taking taylor expansion of p in x 2.970 * [backup-simplify]: Simplify p into p 2.970 * [backup-simplify]: Simplify (* p p) into (pow p 2) 2.970 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 2.970 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 2.970 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 2.970 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 2.970 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 2.971 * [backup-simplify]: Simplify (+ 0 0) into 0 2.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 2.971 * [taylor]: Taking taylor expansion of (* 2 p) in p 2.971 * [taylor]: Taking taylor expansion of 2 in p 2.971 * [backup-simplify]: Simplify 2 into 2 2.971 * [taylor]: Taking taylor expansion of p in p 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 1 into 1 2.971 * [backup-simplify]: Simplify (* 2 0) into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [taylor]: Taking taylor expansion of 0 in p 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.972 * [backup-simplify]: Simplify 2 into 2 2.972 * [backup-simplify]: Simplify (* 1 1) into 1 2.973 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 2.973 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 2.974 * [backup-simplify]: Simplify (+ 1 0) into 1 2.974 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 2.974 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 2.974 * [taylor]: Taking taylor expansion of 1/4 in p 2.974 * [backup-simplify]: Simplify 1/4 into 1/4 2.974 * [taylor]: Taking taylor expansion of p in p 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 1 into 1 2.975 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 2.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.977 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 2.978 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 2.978 * [backup-simplify]: Simplify (+ 0 0) into 0 2.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 2.978 * [taylor]: Taking taylor expansion of 0 in p 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 2.979 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 2.979 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 2.979 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 2.979 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 2.979 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 2.979 * [taylor]: Taking taylor expansion of 4 in p 2.979 * [backup-simplify]: Simplify 4 into 4 2.979 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 2.979 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.979 * [taylor]: Taking taylor expansion of p in p 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify (* 1 1) into 1 2.980 * [backup-simplify]: Simplify (/ 1 1) into 1 2.980 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 2.980 * [taylor]: Taking taylor expansion of (pow x 2) in p 2.980 * [taylor]: Taking taylor expansion of x in p 2.980 * [backup-simplify]: Simplify x into x 2.980 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.980 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.980 * [backup-simplify]: Simplify (* 4 1) into 4 2.981 * [backup-simplify]: Simplify (+ 4 0) into 4 2.981 * [backup-simplify]: Simplify (sqrt 4) into 2 2.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.982 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 2.983 * [backup-simplify]: Simplify (+ 0 0) into 0 2.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 2.983 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 2.983 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 2.983 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 2.983 * [taylor]: Taking taylor expansion of 4 in x 2.983 * [backup-simplify]: Simplify 4 into 4 2.983 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 2.983 * [taylor]: Taking taylor expansion of (pow p 2) in x 2.983 * [taylor]: Taking taylor expansion of p in x 2.983 * [backup-simplify]: Simplify p into p 2.983 * [backup-simplify]: Simplify (* p p) into (pow p 2) 2.983 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 2.983 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.983 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.983 * [taylor]: Taking taylor expansion of x in x 2.983 * [backup-simplify]: Simplify 0 into 0 2.983 * [backup-simplify]: Simplify 1 into 1 2.984 * [backup-simplify]: Simplify (* 1 1) into 1 2.984 * [backup-simplify]: Simplify (/ 1 1) into 1 2.984 * [backup-simplify]: Simplify (+ 0 1) into 1 2.985 * [backup-simplify]: Simplify (sqrt 1) into 1 2.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.986 * [backup-simplify]: Simplify (+ 0 0) into 0 2.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.987 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 2.987 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 2.987 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (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 (/ 1 (pow p 2)) in x 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 (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 2.987 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 2.988 * [backup-simplify]: Simplify (* 1 1) into 1 2.988 * [backup-simplify]: Simplify (/ 1 1) into 1 2.989 * [backup-simplify]: Simplify (+ 0 1) into 1 2.989 * [backup-simplify]: Simplify (sqrt 1) into 1 2.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.991 * [backup-simplify]: Simplify (+ 0 0) into 0 2.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.992 * [taylor]: Taking taylor expansion of 1 in p 2.992 * [backup-simplify]: Simplify 1 into 1 2.992 * [taylor]: Taking taylor expansion of 0 in p 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify 1 into 1 2.992 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 2.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.995 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 2.996 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 2.996 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 2.996 * [taylor]: Taking taylor expansion of 2 in p 2.996 * [backup-simplify]: Simplify 2 into 2 2.996 * [taylor]: Taking taylor expansion of (pow p 2) in p 2.996 * [taylor]: Taking taylor expansion of p in p 2.996 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify 1 into 1 2.997 * [backup-simplify]: Simplify (* 1 1) into 1 2.997 * [backup-simplify]: Simplify (/ 2 1) into 2 2.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 2.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 3.000 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 3.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.003 * [backup-simplify]: Simplify (+ 0 0) into 0 3.003 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 3.003 * [taylor]: Taking taylor expansion of 0 in p 3.003 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 3.006 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 3.006 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 3.006 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 3.006 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 3.006 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 3.006 * [taylor]: Taking taylor expansion of 4 in p 3.006 * [backup-simplify]: Simplify 4 into 4 3.006 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.007 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.007 * [taylor]: Taking taylor expansion of p in p 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify 1 into 1 3.007 * [backup-simplify]: Simplify (* 1 1) into 1 3.008 * [backup-simplify]: Simplify (/ 1 1) into 1 3.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.008 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.008 * [taylor]: Taking taylor expansion of x in p 3.008 * [backup-simplify]: Simplify x into x 3.008 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.008 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.008 * [backup-simplify]: Simplify (* 4 1) into 4 3.009 * [backup-simplify]: Simplify (+ 4 0) into 4 3.009 * [backup-simplify]: Simplify (sqrt 4) into 2 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 (+ (* 4 0) (* 0 1)) into 0 3.012 * [backup-simplify]: Simplify (+ 0 0) into 0 3.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 3.013 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.013 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.013 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.013 * [taylor]: Taking taylor expansion of 4 in x 3.013 * [backup-simplify]: Simplify 4 into 4 3.013 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.013 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.013 * [taylor]: Taking taylor expansion of p in x 3.013 * [backup-simplify]: Simplify p into p 3.013 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.013 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.013 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.013 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.013 * [taylor]: Taking taylor expansion of x in x 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify 1 into 1 3.014 * [backup-simplify]: Simplify (* 1 1) into 1 3.014 * [backup-simplify]: Simplify (/ 1 1) into 1 3.014 * [backup-simplify]: Simplify (+ 0 1) into 1 3.015 * [backup-simplify]: Simplify (sqrt 1) into 1 3.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.017 * [backup-simplify]: Simplify (+ 0 0) into 0 3.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.017 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.017 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.018 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.018 * [taylor]: Taking taylor expansion of 4 in x 3.018 * [backup-simplify]: Simplify 4 into 4 3.018 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.018 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.018 * [taylor]: Taking taylor expansion of p in x 3.018 * [backup-simplify]: Simplify p into p 3.018 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.018 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.018 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.018 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.018 * [taylor]: Taking taylor expansion of x in x 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify 1 into 1 3.018 * [backup-simplify]: Simplify (* 1 1) into 1 3.019 * [backup-simplify]: Simplify (/ 1 1) into 1 3.019 * [backup-simplify]: Simplify (+ 0 1) into 1 3.020 * [backup-simplify]: Simplify (sqrt 1) into 1 3.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.021 * [backup-simplify]: Simplify (+ 0 0) into 0 3.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.022 * [taylor]: Taking taylor expansion of 1 in p 3.022 * [backup-simplify]: Simplify 1 into 1 3.022 * [taylor]: Taking taylor expansion of 0 in p 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 1 into 1 3.023 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 3.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.025 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 3.026 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 3.026 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 3.026 * [taylor]: Taking taylor expansion of 2 in p 3.026 * [backup-simplify]: Simplify 2 into 2 3.026 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.026 * [taylor]: Taking taylor expansion of p in p 3.026 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify 1 into 1 3.027 * [backup-simplify]: Simplify (* 1 1) into 1 3.027 * [backup-simplify]: Simplify (/ 2 1) into 2 3.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 3.029 * [backup-simplify]: Simplify 0 into 0 3.029 * [backup-simplify]: Simplify 0 into 0 3.029 * [backup-simplify]: Simplify 0 into 0 3.029 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 3.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 3.030 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 3.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.033 * [backup-simplify]: Simplify (+ 0 0) into 0 3.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 3.033 * [taylor]: Taking taylor expansion of 0 in p 3.033 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.035 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 3.036 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.036 * [backup-simplify]: Simplify (+ (* 0.5 (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5) into (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) 3.036 * [approximate]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in (x p) around 0 3.036 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in p 3.036 * [taylor]: Taking taylor expansion of 0.5 in p 3.036 * [backup-simplify]: Simplify 0.5 into 0.5 3.036 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in p 3.036 * [taylor]: Taking taylor expansion of 0.5 in p 3.037 * [backup-simplify]: Simplify 0.5 into 0.5 3.037 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p 3.037 * [taylor]: Taking taylor expansion of x in p 3.037 * [backup-simplify]: Simplify x into x 3.037 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p 3.037 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p 3.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 3.037 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.037 * [taylor]: Taking taylor expansion of x in p 3.037 * [backup-simplify]: Simplify x into x 3.037 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 3.037 * [taylor]: Taking taylor expansion of 4 in p 3.037 * [backup-simplify]: Simplify 4 into 4 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 (* x x) into (pow x 2) 3.037 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.037 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.037 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x) 3.037 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.038 * [backup-simplify]: Simplify (+ 0 0) into 0 3.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0 3.038 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x 3.038 * [taylor]: Taking taylor expansion of 0.5 in x 3.038 * [backup-simplify]: Simplify 0.5 into 0.5 3.039 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x 3.039 * [taylor]: Taking taylor expansion of 0.5 in x 3.039 * [backup-simplify]: Simplify 0.5 into 0.5 3.039 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 3.039 * [taylor]: Taking taylor expansion of x in x 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify 1 into 1 3.039 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 3.039 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 3.039 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 3.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.039 * [taylor]: Taking taylor expansion of x in x 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify 1 into 1 3.039 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 3.039 * [taylor]: Taking taylor expansion of 4 in x 3.039 * [backup-simplify]: Simplify 4 into 4 3.039 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.039 * [taylor]: Taking taylor expansion of p in x 3.039 * [backup-simplify]: Simplify p into p 3.039 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.039 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 3.039 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 3.039 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 3.040 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 3.040 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 3.040 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 3.041 * [backup-simplify]: Simplify (+ 0 0) into 0 3.041 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 3.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 3.041 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x 3.041 * [taylor]: Taking taylor expansion of 0.5 in x 3.041 * [backup-simplify]: Simplify 0.5 into 0.5 3.041 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x 3.041 * [taylor]: Taking taylor expansion of 0.5 in x 3.041 * [backup-simplify]: Simplify 0.5 into 0.5 3.041 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 3.041 * [taylor]: Taking taylor expansion of x in x 3.041 * [backup-simplify]: Simplify 0 into 0 3.041 * [backup-simplify]: Simplify 1 into 1 3.041 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 3.041 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 3.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 3.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.041 * [taylor]: Taking taylor expansion of x in x 3.041 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify 1 into 1 3.042 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 3.042 * [taylor]: Taking taylor expansion of 4 in x 3.042 * [backup-simplify]: Simplify 4 into 4 3.042 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.042 * [taylor]: Taking taylor expansion of p in x 3.042 * [backup-simplify]: Simplify p into p 3.042 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.042 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 3.042 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 3.042 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 3.042 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 3.042 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 3.043 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 3.043 * [backup-simplify]: Simplify (+ 0 0) into 0 3.044 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 3.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 3.044 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0 3.044 * [backup-simplify]: Simplify (* 0.5 0) into 0 3.045 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.045 * [taylor]: Taking taylor expansion of 0.5 in p 3.045 * [backup-simplify]: Simplify 0.5 into 0.5 3.045 * [backup-simplify]: Simplify 0.5 into 0.5 3.045 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p)) 3.046 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p)) 3.046 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 p))) into (* 0.25 (/ 1 p)) 3.046 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 p)) in p 3.046 * [taylor]: Taking taylor expansion of 0.25 in p 3.046 * [backup-simplify]: Simplify 0.25 into 0.25 3.046 * [taylor]: Taking taylor expansion of (/ 1 p) in p 3.046 * [taylor]: Taking taylor expansion of p in p 3.046 * [backup-simplify]: Simplify 0 into 0 3.046 * [backup-simplify]: Simplify 1 into 1 3.046 * [backup-simplify]: Simplify (/ 1 1) into 1 3.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.048 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0 3.048 * [backup-simplify]: Simplify 0 into 0 3.048 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify (* 1 1) into 1 3.049 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 3.050 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 3.050 * [backup-simplify]: Simplify (+ 1 0) into 1 3.051 * [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)))) 3.052 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3)) 3.053 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0 3.053 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0))) into 0 3.054 * [backup-simplify]: Simplify (+ 0 0) into 0 3.054 * [taylor]: Taking taylor expansion of 0 in p 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.056 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.058 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 3.059 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 3.059 * [backup-simplify]: Simplify (+ 0 0) into 0 3.060 * [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 3.060 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (pow p 3)))))) (* 2 (/ 1/2 p))) into 0 3.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -1/16 (pow p 3))) (+ (* 0 0) (* 0 (/ 1/2 p))))) into (- (* 1/16 (/ 1 (pow p 3)))) 3.062 * [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)))) 3.062 * [backup-simplify]: Simplify (+ 0 (- (* 0.03125 (/ 1 (pow p 3))))) into (- (* 0.03125 (/ 1 (pow p 3)))) 3.062 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (pow p 3)))) in p 3.062 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (pow p 3))) in p 3.062 * [taylor]: Taking taylor expansion of 0.03125 in p 3.062 * [backup-simplify]: Simplify 0.03125 into 0.03125 3.063 * [taylor]: Taking taylor expansion of (/ 1 (pow p 3)) in p 3.063 * [taylor]: Taking taylor expansion of (pow p 3) in p 3.063 * [taylor]: Taking taylor expansion of p in p 3.063 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify 1 into 1 3.063 * [backup-simplify]: Simplify (* 1 1) into 1 3.063 * [backup-simplify]: Simplify (* 1 1) into 1 3.066 * [backup-simplify]: Simplify (/ 1 1) into 1 3.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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 1)))) into 0 3.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.076 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.077 * [backup-simplify]: Simplify (- 0) into 0 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify 0.5 into 0.5 3.077 * [backup-simplify]: Simplify (+ (* 0.5 (* (/ 1 x) (/ 1 (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) 3.077 * [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) 3.078 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 3.078 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 3.078 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 3.078 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 3.078 * [taylor]: Taking taylor expansion of 4 in p 3.078 * [backup-simplify]: Simplify 4 into 4 3.078 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.078 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.078 * [taylor]: Taking taylor expansion of p in p 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify 1 into 1 3.079 * [backup-simplify]: Simplify (* 1 1) into 1 3.079 * [backup-simplify]: Simplify (/ 1 1) into 1 3.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.079 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.079 * [taylor]: Taking taylor expansion of x in p 3.079 * [backup-simplify]: Simplify x into x 3.079 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.079 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.080 * [backup-simplify]: Simplify (* 4 1) into 4 3.080 * [backup-simplify]: Simplify (+ 4 0) into 4 3.081 * [backup-simplify]: Simplify (/ 1 4) into 1/4 3.081 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 3.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.083 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 3.084 * [backup-simplify]: Simplify (+ 0 0) into 0 3.084 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 3.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 3.085 * [taylor]: Taking taylor expansion of 0.5 in p 3.085 * [backup-simplify]: Simplify 0.5 into 0.5 3.085 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x 3.085 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 3.085 * [taylor]: Taking taylor expansion of 0.5 in x 3.085 * [backup-simplify]: Simplify 0.5 into 0.5 3.085 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 3.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.085 * [taylor]: Taking taylor expansion of x in x 3.085 * [backup-simplify]: Simplify 0 into 0 3.085 * [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 3.086 * [taylor]: Taking taylor expansion of p in x 3.086 * [backup-simplify]: Simplify p into p 3.086 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.086 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.086 * [taylor]: Taking taylor expansion of (pow x 2) 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 3.087 * [backup-simplify]: Simplify (* 1 1) into 1 3.087 * [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 3.088 * [backup-simplify]: Simplify (sqrt 1) into 1 3.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.090 * [backup-simplify]: Simplify (+ 0 0) into 0 3.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.092 * [taylor]: Taking taylor expansion of 0.5 in x 3.092 * [backup-simplify]: Simplify 0.5 into 0.5 3.092 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x 3.092 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 3.092 * [taylor]: Taking taylor expansion of 0.5 in x 3.092 * [backup-simplify]: Simplify 0.5 into 0.5 3.092 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 3.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.092 * [taylor]: Taking taylor expansion of x in x 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 1 into 1 3.093 * [backup-simplify]: Simplify (/ 1 1) into 1 3.093 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 3.093 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.093 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.093 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.093 * [taylor]: Taking taylor expansion of 4 in x 3.093 * [backup-simplify]: Simplify 4 into 4 3.093 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.093 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.093 * [taylor]: Taking taylor expansion of p in x 3.093 * [backup-simplify]: Simplify p into p 3.093 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.093 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.093 * [taylor]: Taking taylor expansion of x in x 3.093 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify 1 into 1 3.094 * [backup-simplify]: Simplify (* 1 1) into 1 3.094 * [backup-simplify]: Simplify (/ 1 1) into 1 3.095 * [backup-simplify]: Simplify (+ 0 1) into 1 3.095 * [backup-simplify]: Simplify (/ 1 1) into 1 3.095 * [backup-simplify]: Simplify (sqrt 1) into 1 3.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.097 * [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 3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.102 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.102 * [backup-simplify]: Simplify (+ 0 0) into 0 3.102 * [taylor]: Taking taylor expansion of 0 in p 3.102 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 3.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.104 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 3.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 3.105 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 3.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.107 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 3.107 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 3.107 * [backup-simplify]: Simplify (+ (- (* 1.0 (/ 1 (pow p 2)))) 0) into (- (* 1.0 (/ 1 (pow p 2)))) 3.107 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow p 2)))) in p 3.107 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p 3.107 * [taylor]: Taking taylor expansion of 1.0 in p 3.107 * [backup-simplify]: Simplify 1.0 into 1.0 3.107 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.107 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.107 * [taylor]: Taking taylor expansion of p in p 3.107 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify 1 into 1 3.108 * [backup-simplify]: Simplify (* 1 1) into 1 3.108 * [backup-simplify]: Simplify (/ 1 1) into 1 3.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.111 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 3.111 * [backup-simplify]: Simplify (- 0) into 0 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 3.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 3.112 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 3.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.113 * [backup-simplify]: Simplify (+ 0 0) into 0 3.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0 3.114 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0 3.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0 3.116 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0 3.117 * [backup-simplify]: Simplify (+ 0 0) into 0 3.117 * [taylor]: Taking taylor expansion of 0 in p 3.117 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify 1.0 into 1.0 3.117 * [backup-simplify]: Simplify (+ (* 0.5 (* (/ 1 (- x)) (/ 1 (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)))))))) 3.117 * [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 3.117 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in p 3.117 * [taylor]: Taking taylor expansion of 0.5 in p 3.117 * [backup-simplify]: Simplify 0.5 into 0.5 3.117 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 3.117 * [taylor]: Taking taylor expansion of 0.5 in p 3.117 * [backup-simplify]: Simplify 0.5 into 0.5 3.117 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 3.117 * [taylor]: Taking taylor expansion of (/ 1 x) in p 3.117 * [taylor]: Taking taylor expansion of x in p 3.117 * [backup-simplify]: Simplify x into x 3.117 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.117 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 3.117 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 3.117 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 3.117 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 3.117 * [taylor]: Taking taylor expansion of 4 in p 3.117 * [backup-simplify]: Simplify 4 into 4 3.117 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.117 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.117 * [taylor]: Taking taylor expansion of p in p 3.117 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify 1 into 1 3.118 * [backup-simplify]: Simplify (* 1 1) into 1 3.118 * [backup-simplify]: Simplify (/ 1 1) into 1 3.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.118 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.118 * [taylor]: Taking taylor expansion of x in p 3.118 * [backup-simplify]: Simplify x into x 3.118 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.118 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.119 * [backup-simplify]: Simplify (* 4 1) into 4 3.119 * [backup-simplify]: Simplify (+ 4 0) into 4 3.119 * [backup-simplify]: Simplify (/ 1 4) into 1/4 3.119 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 3.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.121 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 3.121 * [backup-simplify]: Simplify (+ 0 0) into 0 3.122 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 3.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 3.122 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x 3.122 * [taylor]: Taking taylor expansion of 0.5 in x 3.122 * [backup-simplify]: Simplify 0.5 into 0.5 3.122 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 3.122 * [taylor]: Taking taylor expansion of 0.5 in x 3.122 * [backup-simplify]: Simplify 0.5 into 0.5 3.122 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 3.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.122 * [taylor]: Taking taylor expansion of x in x 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 1 into 1 3.123 * [backup-simplify]: Simplify (/ 1 1) into 1 3.123 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 3.123 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.123 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.123 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.123 * [taylor]: Taking taylor expansion of 4 in x 3.123 * [backup-simplify]: Simplify 4 into 4 3.123 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.123 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.123 * [taylor]: Taking taylor expansion of p in x 3.123 * [backup-simplify]: Simplify p into p 3.123 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.123 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.123 * [taylor]: Taking taylor expansion of x in x 3.123 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify 1 into 1 3.123 * [backup-simplify]: Simplify (* 1 1) into 1 3.124 * [backup-simplify]: Simplify (/ 1 1) into 1 3.124 * [backup-simplify]: Simplify (+ 0 1) into 1 3.124 * [backup-simplify]: Simplify (/ 1 1) into 1 3.124 * [backup-simplify]: Simplify (sqrt 1) into 1 3.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.125 * [backup-simplify]: Simplify (+ 0 0) into 0 3.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.126 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x 3.126 * [taylor]: Taking taylor expansion of 0.5 in x 3.126 * [backup-simplify]: Simplify 0.5 into 0.5 3.126 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 3.127 * [taylor]: Taking taylor expansion of 0.5 in x 3.127 * [backup-simplify]: Simplify 0.5 into 0.5 3.127 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 3.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.127 * [taylor]: Taking taylor expansion of x in x 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify 1 into 1 3.127 * [backup-simplify]: Simplify (/ 1 1) into 1 3.127 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 3.127 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.127 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.127 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.127 * [taylor]: Taking taylor expansion of 4 in x 3.127 * [backup-simplify]: Simplify 4 into 4 3.127 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.127 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.127 * [taylor]: Taking taylor expansion of p in x 3.127 * [backup-simplify]: Simplify p into p 3.127 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.127 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.127 * [taylor]: Taking taylor expansion of x in x 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify 1 into 1 3.128 * [backup-simplify]: Simplify (* 1 1) into 1 3.128 * [backup-simplify]: Simplify (/ 1 1) into 1 3.128 * [backup-simplify]: Simplify (+ 0 1) into 1 3.128 * [backup-simplify]: Simplify (/ 1 1) into 1 3.129 * [backup-simplify]: Simplify (sqrt 1) into 1 3.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.130 * [backup-simplify]: Simplify (+ 0 0) into 0 3.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.131 * [backup-simplify]: Simplify (* 1 1) into 1 3.131 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.132 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.132 * [backup-simplify]: Simplify (+ 0.5 (- 0.5)) into 0 3.132 * [taylor]: Taking taylor expansion of 0 in p 3.132 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify 0 into 0 3.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.134 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.134 * [backup-simplify]: Simplify (- 0) into 0 3.134 * [backup-simplify]: Simplify (+ 0 0) into 0 3.134 * [taylor]: Taking taylor expansion of 0 in p 3.134 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 3.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.136 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 3.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 3.137 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 3.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.138 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 3.138 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 3.139 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow p 2))))) into (* 1.0 (/ 1 (pow p 2))) 3.139 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow p 2)))) into (* 1.0 (/ 1 (pow p 2))) 3.139 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p 3.139 * [taylor]: Taking taylor expansion of 1.0 in p 3.139 * [backup-simplify]: Simplify 1.0 into 1.0 3.139 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.139 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.139 * [taylor]: Taking taylor expansion of p in p 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify 1 into 1 3.139 * [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 3.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.142 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 3.142 * [backup-simplify]: Simplify 0 into 0 3.142 * [backup-simplify]: Simplify 0 into 0 3.142 * [backup-simplify]: Simplify 0 into 0 3.142 * [backup-simplify]: Simplify 0 into 0 3.142 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 3.142 * [backup-simplify]: Simplify (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4))))) into (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) 3.142 * [approximate]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in (x p) around 0 3.142 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p 3.142 * [taylor]: Taking taylor expansion of x in p 3.142 * [backup-simplify]: Simplify x into x 3.142 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p 3.142 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p 3.142 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 3.142 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.142 * [taylor]: Taking taylor expansion of x in p 3.142 * [backup-simplify]: Simplify x into x 3.142 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 3.142 * [taylor]: Taking taylor expansion of 4 in p 3.142 * [backup-simplify]: Simplify 4 into 4 3.143 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.143 * [taylor]: Taking taylor expansion of p in p 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 1 into 1 3.143 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.143 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.143 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.143 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x) 3.143 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.143 * [backup-simplify]: Simplify (+ 0 0) into 0 3.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0 3.143 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 3.143 * [taylor]: Taking taylor expansion of x in x 3.143 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify 1 into 1 3.144 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 3.144 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 3.144 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 3.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.144 * [taylor]: Taking taylor expansion of x in x 3.144 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify 1 into 1 3.144 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 3.144 * [taylor]: Taking taylor expansion of 4 in x 3.144 * [backup-simplify]: Simplify 4 into 4 3.144 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.144 * [taylor]: Taking taylor expansion of p in x 3.144 * [backup-simplify]: Simplify p into p 3.144 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.144 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 3.144 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 3.144 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 3.144 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 3.144 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 3.144 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 3.145 * [backup-simplify]: Simplify (+ 0 0) into 0 3.145 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 3.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 3.145 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 3.145 * [taylor]: Taking taylor expansion of x in x 3.145 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify 1 into 1 3.145 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 3.145 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 3.145 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 3.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.145 * [taylor]: Taking taylor expansion of x in x 3.145 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify 1 into 1 3.145 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 3.145 * [taylor]: Taking taylor expansion of 4 in x 3.145 * [backup-simplify]: Simplify 4 into 4 3.145 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.145 * [taylor]: Taking taylor expansion of p in x 3.145 * [backup-simplify]: Simplify p into p 3.145 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.145 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 3.145 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 3.146 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 3.146 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 3.146 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 3.147 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 3.147 * [backup-simplify]: Simplify (+ 0 0) into 0 3.147 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 3.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 3.148 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0 3.148 * [taylor]: Taking taylor expansion of 0 in p 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p)) 3.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 p)) in p 3.148 * [taylor]: Taking taylor expansion of 1/2 in p 3.148 * [backup-simplify]: Simplify 1/2 into 1/2 3.148 * [taylor]: Taking taylor expansion of (/ 1 p) in p 3.148 * [taylor]: Taking taylor expansion of p in p 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify 1 into 1 3.149 * [backup-simplify]: Simplify (/ 1 1) into 1 3.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.151 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify (* 1 1) into 1 3.152 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 3.153 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 3.153 * [backup-simplify]: Simplify (+ 1 0) into 1 3.154 * [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)))) 3.155 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3)) 3.156 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0 3.156 * [taylor]: Taking taylor expansion of 0 in p 3.156 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify 0 into 0 3.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.158 * [backup-simplify]: Simplify 0 into 0 3.159 * [backup-simplify]: Simplify 0 into 0 3.159 * [backup-simplify]: Simplify 0 into 0 3.159 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))))) into (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) 3.159 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in (x p) around 0 3.159 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 3.159 * [taylor]: Taking taylor expansion of (/ 1 x) in p 3.159 * [taylor]: Taking taylor expansion of x in p 3.159 * [backup-simplify]: Simplify x into x 3.159 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.159 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 3.159 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 3.159 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 3.159 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 3.159 * [taylor]: Taking taylor expansion of 4 in p 3.159 * [backup-simplify]: Simplify 4 into 4 3.159 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.160 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.160 * [taylor]: Taking taylor expansion of p in p 3.160 * [backup-simplify]: Simplify 0 into 0 3.160 * [backup-simplify]: Simplify 1 into 1 3.160 * [backup-simplify]: Simplify (* 1 1) into 1 3.161 * [backup-simplify]: Simplify (/ 1 1) into 1 3.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.161 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.161 * [taylor]: Taking taylor expansion of x in p 3.161 * [backup-simplify]: Simplify x into x 3.161 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.161 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.162 * [backup-simplify]: Simplify (* 4 1) into 4 3.162 * [backup-simplify]: Simplify (+ 4 0) into 4 3.163 * [backup-simplify]: Simplify (/ 1 4) into 1/4 3.163 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 3.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.165 * [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 3.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 3.168 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 3.168 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 3.168 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.169 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.169 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.169 * [taylor]: Taking taylor expansion of 4 in x 3.169 * [backup-simplify]: Simplify 4 into 4 3.169 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.169 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.169 * [taylor]: Taking taylor expansion of p in x 3.169 * [backup-simplify]: Simplify p into p 3.169 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.169 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.169 * [taylor]: Taking taylor expansion of x in x 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 1 into 1 3.170 * [backup-simplify]: Simplify (* 1 1) into 1 3.170 * [backup-simplify]: Simplify (/ 1 1) into 1 3.171 * [backup-simplify]: Simplify (+ 0 1) into 1 3.171 * [backup-simplify]: Simplify (/ 1 1) into 1 3.171 * [backup-simplify]: Simplify (sqrt 1) into 1 3.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.173 * [backup-simplify]: Simplify (+ 0 0) into 0 3.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.174 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 3.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.174 * [taylor]: Taking taylor expansion of x in x 3.174 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify 1 into 1 3.175 * [backup-simplify]: Simplify (/ 1 1) into 1 3.175 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 3.175 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.175 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.175 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.175 * [taylor]: Taking taylor expansion of 4 in x 3.175 * [backup-simplify]: Simplify 4 into 4 3.175 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.175 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.175 * [taylor]: Taking taylor expansion of p in x 3.175 * [backup-simplify]: Simplify p into p 3.175 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.175 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.175 * [taylor]: Taking taylor expansion of x in x 3.175 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify 1 into 1 3.175 * [backup-simplify]: Simplify (* 1 1) into 1 3.176 * [backup-simplify]: Simplify (/ 1 1) into 1 3.176 * [backup-simplify]: Simplify (+ 0 1) into 1 3.176 * [backup-simplify]: Simplify (/ 1 1) into 1 3.176 * [backup-simplify]: Simplify (sqrt 1) into 1 3.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.177 * [backup-simplify]: Simplify (+ 0 0) into 0 3.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.179 * [backup-simplify]: Simplify (* 1 1) into 1 3.179 * [taylor]: Taking taylor expansion of 1 in p 3.179 * [backup-simplify]: Simplify 1 into 1 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.180 * [taylor]: Taking taylor expansion of 0 in p 3.180 * [backup-simplify]: Simplify 0 into 0 3.180 * [backup-simplify]: Simplify 0 into 0 3.180 * [backup-simplify]: Simplify 0 into 0 3.180 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 3.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.181 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 3.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 3.183 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 3.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.184 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 3.184 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow p 2)))) in p 3.184 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow p 2))) in p 3.184 * [taylor]: Taking taylor expansion of 2 in p 3.184 * [backup-simplify]: Simplify 2 into 2 3.184 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.184 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.184 * [taylor]: Taking taylor expansion of p in p 3.184 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify 1 into 1 3.184 * [backup-simplify]: Simplify (* 1 1) into 1 3.184 * [backup-simplify]: Simplify (/ 1 1) into 1 3.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.190 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.190 * [backup-simplify]: Simplify (- 0) into 0 3.190 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify (* (/ 1 (- x)) (/ 1 (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))))) into (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 3.191 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in (x p) around 0 3.191 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 3.191 * [taylor]: Taking taylor expansion of -1 in p 3.191 * [backup-simplify]: Simplify -1 into -1 3.191 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 3.191 * [taylor]: Taking taylor expansion of (/ 1 x) in p 3.191 * [taylor]: Taking taylor expansion of x in p 3.191 * [backup-simplify]: Simplify x into x 3.191 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.191 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 3.191 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 3.191 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 3.191 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 3.191 * [taylor]: Taking taylor expansion of 4 in p 3.191 * [backup-simplify]: Simplify 4 into 4 3.191 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.191 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.191 * [taylor]: Taking taylor expansion of p in p 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify 1 into 1 3.192 * [backup-simplify]: Simplify (* 1 1) into 1 3.192 * [backup-simplify]: Simplify (/ 1 1) into 1 3.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.192 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.192 * [taylor]: Taking taylor expansion of x in p 3.192 * [backup-simplify]: Simplify x into x 3.192 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.192 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.192 * [backup-simplify]: Simplify (* 4 1) into 4 3.193 * [backup-simplify]: Simplify (+ 4 0) into 4 3.193 * [backup-simplify]: Simplify (/ 1 4) into 1/4 3.193 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 3.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.195 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 3.195 * [backup-simplify]: Simplify (+ 0 0) into 0 3.195 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 3.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 3.196 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 3.196 * [taylor]: Taking taylor expansion of -1 in x 3.196 * [backup-simplify]: Simplify -1 into -1 3.196 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 3.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.196 * [taylor]: Taking taylor expansion of x in x 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify 1 into 1 3.196 * [backup-simplify]: Simplify (/ 1 1) into 1 3.196 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 3.196 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.196 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.196 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.196 * [taylor]: Taking taylor expansion of 4 in x 3.196 * [backup-simplify]: Simplify 4 into 4 3.196 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.196 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.196 * [taylor]: Taking taylor expansion of p in x 3.196 * [backup-simplify]: Simplify p into p 3.197 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.197 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.197 * [taylor]: Taking taylor expansion of x in x 3.197 * [backup-simplify]: Simplify 0 into 0 3.197 * [backup-simplify]: Simplify 1 into 1 3.197 * [backup-simplify]: Simplify (* 1 1) into 1 3.197 * [backup-simplify]: Simplify (/ 1 1) into 1 3.197 * [backup-simplify]: Simplify (+ 0 1) into 1 3.198 * [backup-simplify]: Simplify (/ 1 1) into 1 3.198 * [backup-simplify]: Simplify (sqrt 1) into 1 3.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.199 * [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 (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 3.200 * [taylor]: Taking taylor expansion of -1 in x 3.200 * [backup-simplify]: Simplify -1 into -1 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 3.200 * [taylor]: Taking taylor expansion of 4 in x 3.200 * [backup-simplify]: Simplify 4 into 4 3.200 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.200 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.200 * [taylor]: Taking taylor expansion of p in x 3.200 * [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 3.201 * [backup-simplify]: Simplify (/ 1 1) into 1 3.202 * [backup-simplify]: Simplify (+ 0 1) into 1 3.202 * [backup-simplify]: Simplify (/ 1 1) into 1 3.202 * [backup-simplify]: Simplify (sqrt 1) into 1 3.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.203 * [backup-simplify]: Simplify (+ 0 0) into 0 3.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.204 * [backup-simplify]: Simplify (* 1 1) into 1 3.205 * [backup-simplify]: Simplify (* -1 1) into -1 3.205 * [taylor]: Taking taylor expansion of -1 in p 3.205 * [backup-simplify]: Simplify -1 into -1 3.205 * [backup-simplify]: Simplify 0 into 0 3.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.206 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 3.206 * [taylor]: Taking taylor expansion of 0 in p 3.206 * [backup-simplify]: Simplify 0 into 0 3.206 * [backup-simplify]: Simplify 0 into 0 3.206 * [backup-simplify]: Simplify 0 into 0 3.206 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 3.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.208 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 3.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 3.210 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 3.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.211 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 3.211 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (* 2 (/ 1 (pow p 2))) 3.211 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow p 2))) in p 3.211 * [taylor]: Taking taylor expansion of 2 in p 3.211 * [backup-simplify]: Simplify 2 into 2 3.211 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.211 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.211 * [taylor]: Taking taylor expansion of p in p 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify 1 into 1 3.212 * [backup-simplify]: Simplify (* 1 1) into 1 3.212 * [backup-simplify]: Simplify (/ 1 1) into 1 3.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.218 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.219 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify 0 into 0 3.219 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2 1 2) 3.219 * [backup-simplify]: Simplify (* (* p p) 4) into (* 4 (pow p 2)) 3.219 * [approximate]: Taking taylor expansion of (* 4 (pow p 2)) in (p) around 0 3.219 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 3.219 * [taylor]: Taking taylor expansion of 4 in p 3.219 * [backup-simplify]: Simplify 4 into 4 3.219 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.219 * [taylor]: Taking taylor expansion of p in p 3.219 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify 1 into 1 3.219 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 3.219 * [taylor]: Taking taylor expansion of 4 in p 3.219 * [backup-simplify]: Simplify 4 into 4 3.219 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.219 * [taylor]: Taking taylor expansion of p in p 3.219 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify 1 into 1 3.220 * [backup-simplify]: Simplify (* 1 1) into 1 3.221 * [backup-simplify]: Simplify (* 4 1) into 4 3.221 * [backup-simplify]: Simplify 4 into 4 3.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.222 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 3.222 * [backup-simplify]: Simplify 0 into 0 3.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.225 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 3.225 * [backup-simplify]: Simplify 0 into 0 3.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.228 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.228 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.230 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.231 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.234 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.234 * [backup-simplify]: Simplify 0 into 0 3.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.238 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.238 * [backup-simplify]: Simplify 0 into 0 3.238 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 3.238 * [backup-simplify]: Simplify (* (* (/ 1 p) (/ 1 p)) 4) into (/ 4 (pow p 2)) 3.238 * [approximate]: Taking taylor expansion of (/ 4 (pow p 2)) in (p) around 0 3.238 * [taylor]: Taking taylor expansion of (/ 4 (pow p 2)) in p 3.238 * [taylor]: Taking taylor expansion of 4 in p 3.238 * [backup-simplify]: Simplify 4 into 4 3.238 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.238 * [taylor]: Taking taylor expansion of p in p 3.238 * [backup-simplify]: Simplify 0 into 0 3.238 * [backup-simplify]: Simplify 1 into 1 3.239 * [backup-simplify]: Simplify (* 1 1) into 1 3.239 * [backup-simplify]: Simplify (/ 4 1) into 4 3.239 * [taylor]: Taking taylor expansion of (/ 4 (pow p 2)) in p 3.240 * [taylor]: Taking taylor expansion of 4 in p 3.240 * [backup-simplify]: Simplify 4 into 4 3.240 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.240 * [taylor]: Taking taylor expansion of p in p 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 1 into 1 3.240 * [backup-simplify]: Simplify (* 1 1) into 1 3.241 * [backup-simplify]: Simplify (/ 4 1) into 4 3.241 * [backup-simplify]: Simplify 4 into 4 3.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0 3.243 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.245 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.248 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.251 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.254 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.257 * [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 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify (* 4 (pow (/ 1 (/ 1 p)) 2)) into (* 4 (pow p 2)) 3.258 * [backup-simplify]: Simplify (* (* (/ 1 (- p)) (/ 1 (- p))) 4) into (/ 4 (pow p 2)) 3.258 * [approximate]: Taking taylor expansion of (/ 4 (pow p 2)) in (p) around 0 3.258 * [taylor]: Taking taylor expansion of (/ 4 (pow p 2)) in p 3.258 * [taylor]: Taking taylor expansion of 4 in p 3.258 * [backup-simplify]: Simplify 4 into 4 3.258 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.258 * [taylor]: Taking taylor expansion of p in p 3.258 * [backup-simplify]: Simplify 0 into 0 3.258 * [backup-simplify]: Simplify 1 into 1 3.259 * [backup-simplify]: Simplify (* 1 1) into 1 3.259 * [backup-simplify]: Simplify (/ 4 1) into 4 3.259 * [taylor]: Taking taylor expansion of (/ 4 (pow p 2)) in p 3.259 * [taylor]: Taking taylor expansion of 4 in p 3.259 * [backup-simplify]: Simplify 4 into 4 3.259 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.259 * [taylor]: Taking taylor expansion of p in p 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 1 into 1 3.260 * [backup-simplify]: Simplify (* 1 1) into 1 3.260 * [backup-simplify]: Simplify (/ 4 1) into 4 3.260 * [backup-simplify]: Simplify 4 into 4 3.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0 3.262 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.264 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.267 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.269 * [backup-simplify]: Simplify 0 into 0 3.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.272 * [backup-simplify]: Simplify 0 into 0 3.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.275 * [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 3.275 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify (* 4 (pow (/ 1 (/ 1 (- p))) 2)) into (* 4 (pow p 2)) 3.275 * * * [progress]: simplifying candidates 3.275 * * * * [progress]: [ 1 / 110 ] simplifiying candidate # 3.275 * * * * [progress]: [ 2 / 110 ] simplifiying candidate # 3.275 * * * * [progress]: [ 3 / 110 ] simplifiying candidate # 3.275 * * * * [progress]: [ 4 / 110 ] simplifiying candidate # 3.275 * * * * [progress]: [ 5 / 110 ] simplifiying candidate # 3.275 * * * * [progress]: [ 6 / 110 ] simplifiying candidate # 3.276 * * * * [progress]: [ 7 / 110 ] simplifiying candidate # 3.276 * * * * [progress]: [ 8 / 110 ] simplifiying candidate # 3.276 * * * * [progress]: [ 9 / 110 ] simplifiying candidate # 3.276 * * * * [progress]: [ 10 / 110 ] simplifiying candidate # 3.276 * * * * [progress]: [ 11 / 110 ] simplifiying candidate # 3.276 * * * * [progress]: [ 12 / 110 ] simplifiying candidate # 3.276 * * * * [progress]: [ 13 / 110 ] simplifiying candidate # 3.276 * * * * [progress]: [ 14 / 110 ] simplifiying candidate # 3.276 * * * * [progress]: [ 15 / 110 ] simplifiying candidate # 3.276 * * * * [progress]: [ 16 / 110 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* (* p p) 4)))))))) 0.5)))> 3.276 * * * * [progress]: [ 17 / 110 ] simplifiying candidate # 3.276 * * * * [progress]: [ 18 / 110 ] simplifiying candidate # 3.276 * * * * [progress]: [ 19 / 110 ] simplifiying candidate # 3.277 * * * * [progress]: [ 20 / 110 ] simplifiying candidate # 3.277 * * * * [progress]: [ 21 / 110 ] simplifiying candidate # 3.277 * * * * [progress]: [ 22 / 110 ] simplifiying candidate # 3.277 * * * * [progress]: [ 23 / 110 ] simplifiying candidate # 3.277 * * * * [progress]: [ 24 / 110 ] simplifiying candidate # 3.277 * * * * [progress]: [ 25 / 110 ] simplifiying candidate # 3.277 * * * * [progress]: [ 26 / 110 ] simplifiying candidate # 3.277 * * * * [progress]: [ 27 / 110 ] simplifiying candidate #real (real->posit16 (+ (* 0.5 (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)))))> 3.277 * * * * [progress]: [ 28 / 110 ] simplifiying candidate # 3.277 * * * * [progress]: [ 29 / 110 ] simplifiying candidate # 3.277 * * * * [progress]: [ 30 / 110 ] simplifiying candidate # 3.277 * * * * [progress]: [ 31 / 110 ] simplifiying candidate # 3.277 * * * * [progress]: [ 32 / 110 ] simplifiying candidate # 3.277 * * * * [progress]: [ 33 / 110 ] simplifiying candidate # 3.278 * * * * [progress]: [ 34 / 110 ] simplifiying candidate # 3.278 * * * * [progress]: [ 35 / 110 ] simplifiying candidate # 3.278 * * * * [progress]: [ 36 / 110 ] simplifiying candidate # 3.278 * * * * [progress]: [ 37 / 110 ] simplifiying candidate # 3.278 * * * * [progress]: [ 38 / 110 ] simplifiying candidate # 3.278 * * * * [progress]: [ 39 / 110 ] simplifiying candidate # 3.278 * * * * [progress]: [ 40 / 110 ] simplifiying candidate # 3.278 * * * * [progress]: [ 41 / 110 ] simplifiying candidate # 3.278 * * * * [progress]: [ 42 / 110 ] simplifiying candidate # 3.278 * * * * [progress]: [ 43 / 110 ] simplifiying candidate # 3.278 * * * * [progress]: [ 44 / 110 ] simplifiying candidate # 3.278 * * * * [progress]: [ 45 / 110 ] simplifiying candidate # 3.278 * * * * [progress]: [ 46 / 110 ] simplifiying candidate # 3.278 * * * * [progress]: [ 47 / 110 ] simplifiying candidate # 3.279 * * * * [progress]: [ 48 / 110 ] simplifiying candidate # 3.279 * * * * [progress]: [ 49 / 110 ] simplifiying candidate # 3.279 * * * * [progress]: [ 50 / 110 ] simplifiying candidate # 3.279 * * * * [progress]: [ 51 / 110 ] simplifiying candidate # 3.279 * * * * [progress]: [ 52 / 110 ] simplifiying candidate # 3.279 * * * * [progress]: [ 53 / 110 ] simplifiying candidate # 3.279 * * * * [progress]: [ 54 / 110 ] simplifiying candidate # 3.279 * * * * [progress]: [ 55 / 110 ] simplifiying candidate # 3.279 * * * * [progress]: [ 56 / 110 ] simplifiying candidate # 3.279 * * * * [progress]: [ 57 / 110 ] simplifiying candidate # 3.279 * * * * [progress]: [ 58 / 110 ] simplifiying candidate # 3.279 * * * * [progress]: [ 59 / 110 ] simplifiying candidate # 3.279 * * * * [progress]: [ 60 / 110 ] simplifiying candidate # 3.280 * * * * [progress]: [ 61 / 110 ] simplifiying candidate # 3.280 * * * * [progress]: [ 62 / 110 ] simplifiying candidate # 3.280 * * * * [progress]: [ 63 / 110 ] simplifiying candidate # 3.280 * * * * [progress]: [ 64 / 110 ] simplifiying candidate # 3.280 * * * * [progress]: [ 65 / 110 ] simplifiying candidate # 3.280 * * * * [progress]: [ 66 / 110 ] simplifiying candidate # 3.280 * * * * [progress]: [ 67 / 110 ] simplifiying candidate # 3.280 * * * * [progress]: [ 68 / 110 ] simplifiying candidate # 3.280 * * * * [progress]: [ 69 / 110 ] simplifiying candidate # 3.280 * * * * [progress]: [ 70 / 110 ] simplifiying candidate # 3.280 * * * * [progress]: [ 71 / 110 ] simplifiying candidate # 3.280 * * * * [progress]: [ 72 / 110 ] simplifiying candidate # 3.280 * * * * [progress]: [ 73 / 110 ] simplifiying candidate # 3.281 * * * * [progress]: [ 74 / 110 ] simplifiying candidate # 3.281 * * * * [progress]: [ 75 / 110 ] simplifiying candidate # 3.281 * * * * [progress]: [ 76 / 110 ] simplifiying candidate # 3.281 * * * * [progress]: [ 77 / 110 ] simplifiying candidate #real (real->posit16 (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))))) 0.5)))> 3.281 * * * * [progress]: [ 78 / 110 ] simplifiying candidate # 3.281 * * * * [progress]: [ 79 / 110 ] simplifiying candidate # 3.281 * * * * [progress]: [ 80 / 110 ] simplifiying candidate # 3.281 * * * * [progress]: [ 81 / 110 ] simplifiying candidate # 3.281 * * * * [progress]: [ 82 / 110 ] simplifiying candidate # 3.281 * * * * [progress]: [ 83 / 110 ] simplifiying candidate # 3.281 * * * * [progress]: [ 84 / 110 ] simplifiying candidate # 3.281 * * * * [progress]: [ 85 / 110 ] simplifiying candidate # 3.281 * * * * [progress]: [ 86 / 110 ] simplifiying candidate # 3.281 * * * * [progress]: [ 87 / 110 ] simplifiying candidate # 3.282 * * * * [progress]: [ 88 / 110 ] simplifiying candidate # 3.282 * * * * [progress]: [ 89 / 110 ] simplifiying candidate # 3.282 * * * * [progress]: [ 90 / 110 ] simplifiying candidate # 3.282 * * * * [progress]: [ 91 / 110 ] simplifiying candidate # 3.282 * * * * [progress]: [ 92 / 110 ] simplifiying candidate # 3.282 * * * * [progress]: [ 93 / 110 ] simplifiying candidate # 3.282 * * * * [progress]: [ 94 / 110 ] simplifiying candidate # 3.282 * * * * [progress]: [ 95 / 110 ] simplifiying candidate # 3.282 * * * * [progress]: [ 96 / 110 ] simplifiying candidate # 3.282 * * * * [progress]: [ 97 / 110 ] simplifiying candidate #real (real->posit16 (* (* p p) 4)))))))) 0.5)))> 3.282 * * * * [progress]: [ 98 / 110 ] simplifiying candidate # 3.282 * * * * [progress]: [ 99 / 110 ] simplifiying candidate # 3.282 * * * * [progress]: [ 100 / 110 ] simplifiying candidate # 3.282 * * * * [progress]: [ 101 / 110 ] simplifiying candidate # 3.282 * * * * [progress]: [ 102 / 110 ] simplifiying candidate # 3.282 * * * * [progress]: [ 103 / 110 ] simplifiying candidate # 3.283 * * * * [progress]: [ 104 / 110 ] simplifiying candidate # 3.283 * * * * [progress]: [ 105 / 110 ] simplifiying candidate # 3.283 * * * * [progress]: [ 106 / 110 ] simplifiying candidate # 3.283 * * * * [progress]: [ 107 / 110 ] simplifiying candidate # 3.283 * * * * [progress]: [ 108 / 110 ] simplifiying candidate # 3.283 * * * * [progress]: [ 109 / 110 ] simplifiying candidate # 3.283 * * * * [progress]: [ 110 / 110 ] simplifiying candidate # 3.285 * [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 (/ 1 (sqrt (+ (* x x) (* (* p p) 4))))))) (exp 0.5)) (log (+ (* 0.5 (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)) (exp (+ (* 0.5 (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)) (* (cbrt (+ (* 0.5 (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)) (cbrt (+ (* 0.5 (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5))) (cbrt (+ (* 0.5 (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)) (* (* (+ (* 0.5 (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5) (+ (* 0.5 (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)) (+ (* 0.5 (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)) (sqrt (+ (* 0.5 (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)) (sqrt (+ (* 0.5 (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)) (+ (pow (* 0.5 (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) 3) (pow 0.5 3)) (+ (* (* 0.5 (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4))))))) (- (* 0.5 0.5) (* (* 0.5 (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5))) (- (* (* 0.5 (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) (* 0.5 (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4))))))) (* 0.5 0.5)) (- (* 0.5 (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5) (real->posit16 (+ (* 0.5 (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) 0.5)) (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4))))) (+ (log x) (- (log (sqrt (+ (* x x) (* (* p p) 4)))))) (+ (log x) (- 0 (log (sqrt (+ (* x x) (* (* p p) 4)))))) (+ (log x) (- (log 1) (log (sqrt (+ (* x x) (* (* p p) 4)))))) (+ (log x) (log (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) (log (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) (exp (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (+ (* x x) (* (* p p) 4)))))) (* (* (* x x) x) (* (* (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))) (/ 1 (sqrt (+ (* x x) (* (* p p) 4))))) (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) (* (cbrt (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) (cbrt (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4))))))) (cbrt (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) (* (* (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4))))) (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) (sqrt (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) (sqrt (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) (* (sqrt x) (sqrt (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) (* (sqrt x) (sqrt (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) (* (sqrt x) (/ (sqrt 1) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (* (sqrt x) (/ (sqrt 1) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (* (sqrt x) (/ (sqrt 1) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (* (sqrt x) (/ (sqrt 1) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (* (sqrt x) (/ 1 (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (* (sqrt x) (/ 1 (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (* (sqrt x) (/ 1 (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (* (sqrt x) (/ 1 (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (* x (* (cbrt (/ 1 (sqrt (+ (* x x) (* (* p p) 4))))) (cbrt (/ 1 (sqrt (+ (* x x) (* (* p p) 4))))))) (* x (sqrt (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4))))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4))))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4))))))) (* x (/ (sqrt 1) (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4))))))) (* x (/ (sqrt 1) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (* x (/ (sqrt 1) (sqrt 1))) (* x (/ (sqrt 1) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4))))))) (* x (/ 1 (sqrt (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4))))))) (* x (/ 1 (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (* x (/ 1 (sqrt 1))) (* x (/ 1 (sqrt (sqrt (+ (* x x) (* (* p p) 4)))))) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (sqrt (+ (pow (* x x) 3) (pow (* (* p p) 4) 3))))) (* x (/ 1 (sqrt (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4)))))) (* (cbrt x) (/ 1 (sqrt (+ (* x x) (* (* p p) 4))))) (* (sqrt x) (/ 1 (sqrt (+ (* x x) (* (* p p) 4))))) (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4))))) (* x 1) (real->posit16 (* x (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) (* (* 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)) (* 2 p) x (* -1 x) 0.5 1.0 0 0 0 0 (* 4 (pow p 2)) (* 4 (pow p 2)) (* 4 (pow p 2)) 3.288 * * [simplify]: iteration 1: (176 enodes) 3.399 * * [simplify]: iteration 2: (449 enodes) 3.801 * * [simplify]: iteration 3: (1231 enodes) 6.059 * * [simplify]: Extracting #0: cost 64 inf + 0 6.060 * * [simplify]: Extracting #1: cost 302 inf + 6 6.066 * * [simplify]: Extracting #2: cost 611 inf + 7025 6.079 * * [simplify]: Extracting #3: cost 590 inf + 63343 6.136 * * [simplify]: Extracting #4: cost 156 inf + 187529 6.226 * * [simplify]: Extracting #5: cost 1 inf + 233096 6.339 * * [simplify]: Extracting #6: cost 0 inf + 233171 6.399 * [simplify]: Simplified to: (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)))) (* (+ (* x x) (* (* p p) 4)) (sqrt (+ (* 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) 64) (* (* p p) (* p p))) (* (* x (* x x)) (* x (* x x))))) (sqrt (+ (* (- (* (* p p) 4) (* x x)) (* (* p p) 4)) (* (* x x) (* x x)))) (sqrt (- (* (* x x) (* x x)) (* (* (* p p) (* p p)) 16))) (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 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) (log (+ 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) (exp (+ 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) (* (cbrt (+ 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) (cbrt (+ 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))))) (cbrt (+ 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 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4)))))))) (sqrt (+ 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) (sqrt (+ 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) (+ (* (* 0.5 0.5) 0.5) (* (* (* (* 0.5 0.5) 0.5) (/ (* x x) (+ (* x x) (* (* p p) 4)))) (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (- (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)) (* 0.5 0.5)) (- (* (* 0.5 0.5) (/ (* x x) (+ (* x x) (* (* p p) 4)))) (* 0.5 0.5)) (- (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5) (real->posit16 (+ 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))))) (/ x (sqrt (+ (* x x) (* (* p p) 4)))) (log (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (log (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (log (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (log (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (log (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (exp (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) (/ (* x x) (+ (* x x) (* (* p p) 4)))) (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) (/ (* x x) (+ (* x x) (* (* p p) 4)))) (* (cbrt (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (cbrt (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (cbrt (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* (/ x (sqrt (+ (* x x) (* (* p p) 4)))) (/ (* x x) (+ (* x x) (* (* p p) 4)))) (sqrt (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (sqrt (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* (sqrt x) (sqrt (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) (* (sqrt x) (sqrt (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) (* (* x (cbrt (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) (cbrt (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) (* x (sqrt (/ 1 (sqrt (+ (* x x) (* (* p p) 4)))))) (/ x (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))) (/ x (fabs (cbrt (+ (* x x) (* (* p p) 4))))) (/ x (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) x (/ x (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) x (/ x (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))) (/ x (fabs (cbrt (+ (* x x) (* (* p p) 4))))) (/ x (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) x (/ x (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) x (/ x (* (cbrt (sqrt (+ (* x x) (* (* p p) 4)))) (cbrt (sqrt (+ (* x x) (* (* p p) 4)))))) (/ x (fabs (cbrt (+ (* x x) (* (* p p) 4))))) (/ x (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) x (/ x (sqrt (sqrt (+ (* x x) (* (* p p) 4))))) x x x (/ x (sqrt (+ (* (* (* p p) 64) (* (* p p) (* p p))) (* (* x (* x x)) (* x (* x x)))))) (/ x (sqrt (- (* (* x x) (* x x)) (* (* (* p p) (* p p)) 16)))) (/ (cbrt x) (sqrt (+ (* x x) (* (* p p) 4)))) (/ (sqrt x) (sqrt (+ (* x x) (* (* p p) 4)))) (/ x (sqrt (+ (* x x) (* (* p p) 4)))) x (real->posit16 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (* (* p p) 4) (* (* p p) 4) (log (* (* p p) 4)) (log (* (* p p) 4)) (log (* (* p p) 4)) (exp (* (* p p) 4)) (* (* (* p p) 64) (* (* p p) (* p p))) (* (* (* p p) 64) (* (* p p) (* p p))) (* (cbrt (* (* p p) 4)) (cbrt (* (* p p) 4))) (cbrt (* (* p p) 4)) (* (* (* p p) 64) (* (* p p) (* p p))) (sqrt (* (* p p) 4)) (sqrt (* (* p p) 4)) (* 2 p) (* 2 p) (* (* p (cbrt 4)) (* p (cbrt 4))) (* (* p p) 2) (* p p) (* 4 p) (real->posit16 (* (* p p) 4)) (* 2 p) x (- x) 0.5 1.0 0 0 0 0 (* (* p p) 4) (* (* p p) 4) (* (* p p) 4) 6.409 * * * [progress]: adding candidates to table 7.362 * * [progress]: iteration 3 / 4 7.362 * * * [progress]: picking best candidate 7.420 * * * * [pick]: Picked # 7.420 * * * [progress]: localizing error 7.528 * * * [progress]: generating rewritten candidates 7.528 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 2 1 2 2) 7.537 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2 2) 7.549 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2) 7.560 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 2) 7.575 * * * [progress]: generating series expansions 7.575 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 2 1 2 2) 7.575 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p p) 4))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 7.575 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 7.575 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 7.575 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 7.575 * [taylor]: Taking taylor expansion of (pow x 2) in p 7.575 * [taylor]: Taking taylor expansion of x in p 7.575 * [backup-simplify]: Simplify x into x 7.575 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 7.575 * [taylor]: Taking taylor expansion of 4 in p 7.575 * [backup-simplify]: Simplify 4 into 4 7.575 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.575 * [taylor]: Taking taylor expansion of p in p 7.575 * [backup-simplify]: Simplify 0 into 0 7.575 * [backup-simplify]: Simplify 1 into 1 7.575 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.575 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 7.575 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 7.575 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.576 * [backup-simplify]: Simplify (+ 0 0) into 0 7.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 7.576 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 7.576 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 7.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.576 * [taylor]: Taking taylor expansion of x in x 7.576 * [backup-simplify]: Simplify 0 into 0 7.576 * [backup-simplify]: Simplify 1 into 1 7.576 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 7.576 * [taylor]: Taking taylor expansion of 4 in x 7.576 * [backup-simplify]: Simplify 4 into 4 7.576 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.576 * [taylor]: Taking taylor expansion of p in x 7.576 * [backup-simplify]: Simplify p into p 7.576 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.577 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 7.577 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 7.577 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 7.577 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 7.577 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 7.578 * [backup-simplify]: Simplify (+ 0 0) into 0 7.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 7.578 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 7.578 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 7.578 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.578 * [taylor]: Taking taylor expansion of x in x 7.578 * [backup-simplify]: Simplify 0 into 0 7.578 * [backup-simplify]: Simplify 1 into 1 7.578 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 7.578 * [taylor]: Taking taylor expansion of 4 in x 7.578 * [backup-simplify]: Simplify 4 into 4 7.578 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.578 * [taylor]: Taking taylor expansion of p in x 7.578 * [backup-simplify]: Simplify p into p 7.578 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.578 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 7.578 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 7.578 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 7.578 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 7.579 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 7.579 * [backup-simplify]: Simplify (+ 0 0) into 0 7.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 7.579 * [taylor]: Taking taylor expansion of (* 2 p) in p 7.579 * [taylor]: Taking taylor expansion of 2 in p 7.579 * [backup-simplify]: Simplify 2 into 2 7.579 * [taylor]: Taking taylor expansion of p in p 7.579 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify 1 into 1 7.580 * [backup-simplify]: Simplify (* 2 0) into 0 7.580 * [backup-simplify]: Simplify 0 into 0 7.580 * [taylor]: Taking taylor expansion of 0 in p 7.580 * [backup-simplify]: Simplify 0 into 0 7.580 * [backup-simplify]: Simplify 0 into 0 7.580 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 7.580 * [backup-simplify]: Simplify 2 into 2 7.581 * [backup-simplify]: Simplify (* 1 1) into 1 7.581 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 7.582 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 7.582 * [backup-simplify]: Simplify (+ 1 0) into 1 7.582 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 7.582 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 7.582 * [taylor]: Taking taylor expansion of 1/4 in p 7.582 * [backup-simplify]: Simplify 1/4 into 1/4 7.582 * [taylor]: Taking taylor expansion of p in p 7.582 * [backup-simplify]: Simplify 0 into 0 7.582 * [backup-simplify]: Simplify 1 into 1 7.583 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 7.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 7.588 * [backup-simplify]: Simplify 0 into 0 7.588 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 7.589 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.590 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 7.591 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 7.591 * [backup-simplify]: Simplify (+ 0 0) into 0 7.591 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 7.591 * [taylor]: Taking taylor expansion of 0 in p 7.591 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 7.592 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 7.592 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 7.593 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 7.593 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 7.593 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 7.593 * [taylor]: Taking taylor expansion of 4 in p 7.593 * [backup-simplify]: Simplify 4 into 4 7.593 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 7.593 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.593 * [taylor]: Taking taylor expansion of p in p 7.593 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify 1 into 1 7.593 * [backup-simplify]: Simplify (* 1 1) into 1 7.593 * [backup-simplify]: Simplify (/ 1 1) into 1 7.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 7.593 * [taylor]: Taking taylor expansion of (pow x 2) in p 7.593 * [taylor]: Taking taylor expansion of x in p 7.593 * [backup-simplify]: Simplify x into x 7.593 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.593 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.594 * [backup-simplify]: Simplify (* 4 1) into 4 7.594 * [backup-simplify]: Simplify (+ 4 0) into 4 7.594 * [backup-simplify]: Simplify (sqrt 4) into 2 7.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.596 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 7.596 * [backup-simplify]: Simplify (+ 0 0) into 0 7.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 7.596 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 7.596 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 7.596 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 7.596 * [taylor]: Taking taylor expansion of 4 in x 7.596 * [backup-simplify]: Simplify 4 into 4 7.596 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 7.596 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.596 * [taylor]: Taking taylor expansion of p in x 7.596 * [backup-simplify]: Simplify p into p 7.596 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.597 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 7.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.597 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.597 * [taylor]: Taking taylor expansion of x in x 7.597 * [backup-simplify]: Simplify 0 into 0 7.597 * [backup-simplify]: Simplify 1 into 1 7.597 * [backup-simplify]: Simplify (* 1 1) into 1 7.597 * [backup-simplify]: Simplify (/ 1 1) into 1 7.598 * [backup-simplify]: Simplify (+ 0 1) into 1 7.598 * [backup-simplify]: Simplify (sqrt 1) into 1 7.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.600 * [backup-simplify]: Simplify (+ 0 0) into 0 7.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.601 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 7.601 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 7.601 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 7.601 * [taylor]: Taking taylor expansion of 4 in x 7.601 * [backup-simplify]: Simplify 4 into 4 7.601 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 7.601 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.601 * [taylor]: Taking taylor expansion of p in x 7.601 * [backup-simplify]: Simplify p into p 7.601 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.601 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 7.601 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.601 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.601 * [taylor]: Taking taylor expansion of x in x 7.601 * [backup-simplify]: Simplify 0 into 0 7.601 * [backup-simplify]: Simplify 1 into 1 7.602 * [backup-simplify]: Simplify (* 1 1) into 1 7.602 * [backup-simplify]: Simplify (/ 1 1) into 1 7.603 * [backup-simplify]: Simplify (+ 0 1) into 1 7.603 * [backup-simplify]: Simplify (sqrt 1) into 1 7.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.605 * [backup-simplify]: Simplify (+ 0 0) into 0 7.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.606 * [taylor]: Taking taylor expansion of 1 in p 7.606 * [backup-simplify]: Simplify 1 into 1 7.606 * [taylor]: Taking taylor expansion of 0 in p 7.606 * [backup-simplify]: Simplify 0 into 0 7.606 * [backup-simplify]: Simplify 1 into 1 7.606 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 7.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.609 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 7.611 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 7.611 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 7.611 * [taylor]: Taking taylor expansion of 2 in p 7.611 * [backup-simplify]: Simplify 2 into 2 7.611 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.611 * [taylor]: Taking taylor expansion of p in p 7.611 * [backup-simplify]: Simplify 0 into 0 7.611 * [backup-simplify]: Simplify 1 into 1 7.611 * [backup-simplify]: Simplify (* 1 1) into 1 7.612 * [backup-simplify]: Simplify (/ 2 1) into 2 7.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 7.614 * [backup-simplify]: Simplify 0 into 0 7.614 * [backup-simplify]: Simplify 0 into 0 7.614 * [backup-simplify]: Simplify 0 into 0 7.614 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 7.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 7.615 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 7.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.618 * [backup-simplify]: Simplify (+ 0 0) into 0 7.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 7.619 * [taylor]: Taking taylor expansion of 0 in p 7.619 * [backup-simplify]: Simplify 0 into 0 7.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.621 * [backup-simplify]: Simplify 0 into 0 7.621 * [backup-simplify]: Simplify 0 into 0 7.621 * [backup-simplify]: Simplify 0 into 0 7.622 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 7.622 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 7.622 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 7.622 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 7.622 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 7.622 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 7.622 * [taylor]: Taking taylor expansion of 4 in p 7.622 * [backup-simplify]: Simplify 4 into 4 7.622 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 7.622 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.622 * [taylor]: Taking taylor expansion of p in p 7.622 * [backup-simplify]: Simplify 0 into 0 7.622 * [backup-simplify]: Simplify 1 into 1 7.623 * [backup-simplify]: Simplify (* 1 1) into 1 7.623 * [backup-simplify]: Simplify (/ 1 1) into 1 7.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 7.623 * [taylor]: Taking taylor expansion of (pow x 2) in p 7.623 * [taylor]: Taking taylor expansion of x in p 7.623 * [backup-simplify]: Simplify x into x 7.623 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.624 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.624 * [backup-simplify]: Simplify (* 4 1) into 4 7.624 * [backup-simplify]: Simplify (+ 4 0) into 4 7.625 * [backup-simplify]: Simplify (sqrt 4) into 2 7.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.627 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 7.628 * [backup-simplify]: Simplify (+ 0 0) into 0 7.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 7.629 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 7.629 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 7.629 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 7.629 * [taylor]: Taking taylor expansion of 4 in x 7.629 * [backup-simplify]: Simplify 4 into 4 7.629 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 7.629 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.629 * [taylor]: Taking taylor expansion of p in x 7.629 * [backup-simplify]: Simplify p into p 7.629 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.629 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 7.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.629 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.629 * [taylor]: Taking taylor expansion of x in x 7.629 * [backup-simplify]: Simplify 0 into 0 7.629 * [backup-simplify]: Simplify 1 into 1 7.630 * [backup-simplify]: Simplify (* 1 1) into 1 7.630 * [backup-simplify]: Simplify (/ 1 1) into 1 7.631 * [backup-simplify]: Simplify (+ 0 1) into 1 7.631 * [backup-simplify]: Simplify (sqrt 1) into 1 7.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.633 * [backup-simplify]: Simplify (+ 0 0) into 0 7.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.634 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 7.634 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 7.634 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 7.634 * [taylor]: Taking taylor expansion of 4 in x 7.634 * [backup-simplify]: Simplify 4 into 4 7.634 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 7.634 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.634 * [taylor]: Taking taylor expansion of p in x 7.634 * [backup-simplify]: Simplify p into p 7.634 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.635 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 7.635 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.635 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.635 * [taylor]: Taking taylor expansion of x in x 7.635 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify 1 into 1 7.635 * [backup-simplify]: Simplify (* 1 1) into 1 7.636 * [backup-simplify]: Simplify (/ 1 1) into 1 7.636 * [backup-simplify]: Simplify (+ 0 1) into 1 7.637 * [backup-simplify]: Simplify (sqrt 1) into 1 7.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.639 * [backup-simplify]: Simplify (+ 0 0) into 0 7.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.639 * [taylor]: Taking taylor expansion of 1 in p 7.639 * [backup-simplify]: Simplify 1 into 1 7.640 * [taylor]: Taking taylor expansion of 0 in p 7.640 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify 1 into 1 7.640 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 7.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.642 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 7.644 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 7.644 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 7.644 * [taylor]: Taking taylor expansion of 2 in p 7.644 * [backup-simplify]: Simplify 2 into 2 7.644 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.644 * [taylor]: Taking taylor expansion of p in p 7.644 * [backup-simplify]: Simplify 0 into 0 7.644 * [backup-simplify]: Simplify 1 into 1 7.644 * [backup-simplify]: Simplify (* 1 1) into 1 7.645 * [backup-simplify]: Simplify (/ 2 1) into 2 7.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 7.647 * [backup-simplify]: Simplify 0 into 0 7.647 * [backup-simplify]: Simplify 0 into 0 7.647 * [backup-simplify]: Simplify 0 into 0 7.647 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 7.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 7.648 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 7.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.651 * [backup-simplify]: Simplify (+ 0 0) into 0 7.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 7.652 * [taylor]: Taking taylor expansion of 0 in p 7.652 * [backup-simplify]: Simplify 0 into 0 7.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.654 * [backup-simplify]: Simplify 0 into 0 7.654 * [backup-simplify]: Simplify 0 into 0 7.654 * [backup-simplify]: Simplify 0 into 0 7.654 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 7.654 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 2 2) 7.655 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p p) 4))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 7.655 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 7.655 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 7.655 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 7.655 * [taylor]: Taking taylor expansion of (pow x 2) in p 7.655 * [taylor]: Taking taylor expansion of x in p 7.655 * [backup-simplify]: Simplify x into x 7.655 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 7.655 * [taylor]: Taking taylor expansion of 4 in p 7.655 * [backup-simplify]: Simplify 4 into 4 7.655 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.655 * [taylor]: Taking taylor expansion of p in p 7.655 * [backup-simplify]: Simplify 0 into 0 7.655 * [backup-simplify]: Simplify 1 into 1 7.655 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.655 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 7.655 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 7.655 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.655 * [backup-simplify]: Simplify (+ 0 0) into 0 7.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 7.656 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 7.656 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 7.656 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.656 * [taylor]: Taking taylor expansion of x in x 7.656 * [backup-simplify]: Simplify 0 into 0 7.656 * [backup-simplify]: Simplify 1 into 1 7.656 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 7.656 * [taylor]: Taking taylor expansion of 4 in x 7.656 * [backup-simplify]: Simplify 4 into 4 7.656 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.656 * [taylor]: Taking taylor expansion of p in x 7.656 * [backup-simplify]: Simplify p into p 7.656 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.656 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 7.656 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 7.656 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 7.656 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 7.656 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 7.657 * [backup-simplify]: Simplify (+ 0 0) into 0 7.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 7.657 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 7.657 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 7.657 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.657 * [taylor]: Taking taylor expansion of x in x 7.657 * [backup-simplify]: Simplify 0 into 0 7.657 * [backup-simplify]: Simplify 1 into 1 7.657 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 7.657 * [taylor]: Taking taylor expansion of 4 in x 7.657 * [backup-simplify]: Simplify 4 into 4 7.657 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.657 * [taylor]: Taking taylor expansion of p in x 7.657 * [backup-simplify]: Simplify p into p 7.657 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.657 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 7.657 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 7.657 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 7.657 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 7.658 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 7.658 * [backup-simplify]: Simplify (+ 0 0) into 0 7.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 7.658 * [taylor]: Taking taylor expansion of (* 2 p) in p 7.658 * [taylor]: Taking taylor expansion of 2 in p 7.658 * [backup-simplify]: Simplify 2 into 2 7.658 * [taylor]: Taking taylor expansion of p in p 7.658 * [backup-simplify]: Simplify 0 into 0 7.658 * [backup-simplify]: Simplify 1 into 1 7.659 * [backup-simplify]: Simplify (* 2 0) into 0 7.659 * [backup-simplify]: Simplify 0 into 0 7.659 * [taylor]: Taking taylor expansion of 0 in p 7.659 * [backup-simplify]: Simplify 0 into 0 7.659 * [backup-simplify]: Simplify 0 into 0 7.659 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 7.659 * [backup-simplify]: Simplify 2 into 2 7.660 * [backup-simplify]: Simplify (* 1 1) into 1 7.660 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 7.661 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 7.661 * [backup-simplify]: Simplify (+ 1 0) into 1 7.661 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 7.661 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 7.661 * [taylor]: Taking taylor expansion of 1/4 in p 7.661 * [backup-simplify]: Simplify 1/4 into 1/4 7.661 * [taylor]: Taking taylor expansion of p in p 7.661 * [backup-simplify]: Simplify 0 into 0 7.661 * [backup-simplify]: Simplify 1 into 1 7.662 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 7.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 7.662 * [backup-simplify]: Simplify 0 into 0 7.662 * [backup-simplify]: Simplify 0 into 0 7.663 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 7.663 * [backup-simplify]: Simplify 0 into 0 7.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.664 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 7.665 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 7.665 * [backup-simplify]: Simplify (+ 0 0) into 0 7.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 7.665 * [taylor]: Taking taylor expansion of 0 in p 7.665 * [backup-simplify]: Simplify 0 into 0 7.665 * [backup-simplify]: Simplify 0 into 0 7.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.666 * [backup-simplify]: Simplify 0 into 0 7.666 * [backup-simplify]: Simplify 0 into 0 7.666 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 7.666 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 7.666 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 7.666 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 7.666 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 7.666 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 7.666 * [taylor]: Taking taylor expansion of 4 in p 7.666 * [backup-simplify]: Simplify 4 into 4 7.666 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 7.666 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.666 * [taylor]: Taking taylor expansion of p in p 7.666 * [backup-simplify]: Simplify 0 into 0 7.666 * [backup-simplify]: Simplify 1 into 1 7.667 * [backup-simplify]: Simplify (* 1 1) into 1 7.667 * [backup-simplify]: Simplify (/ 1 1) into 1 7.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 7.667 * [taylor]: Taking taylor expansion of (pow x 2) in p 7.667 * [taylor]: Taking taylor expansion of x in p 7.667 * [backup-simplify]: Simplify x into x 7.667 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.667 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.667 * [backup-simplify]: Simplify (* 4 1) into 4 7.668 * [backup-simplify]: Simplify (+ 4 0) into 4 7.668 * [backup-simplify]: Simplify (sqrt 4) into 2 7.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.669 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 7.670 * [backup-simplify]: Simplify (+ 0 0) into 0 7.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 7.670 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 7.670 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 7.670 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 7.670 * [taylor]: Taking taylor expansion of 4 in x 7.670 * [backup-simplify]: Simplify 4 into 4 7.670 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 7.670 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.670 * [taylor]: Taking taylor expansion of p in x 7.670 * [backup-simplify]: Simplify p into p 7.670 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.670 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 7.670 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.670 * [taylor]: Taking taylor expansion of x in x 7.670 * [backup-simplify]: Simplify 0 into 0 7.670 * [backup-simplify]: Simplify 1 into 1 7.671 * [backup-simplify]: Simplify (* 1 1) into 1 7.671 * [backup-simplify]: Simplify (/ 1 1) into 1 7.671 * [backup-simplify]: Simplify (+ 0 1) into 1 7.671 * [backup-simplify]: Simplify (sqrt 1) into 1 7.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.673 * [backup-simplify]: Simplify (+ 0 0) into 0 7.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.673 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 7.673 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 7.673 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 7.673 * [taylor]: Taking taylor expansion of 4 in x 7.673 * [backup-simplify]: Simplify 4 into 4 7.673 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 7.673 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.673 * [taylor]: Taking taylor expansion of p in x 7.673 * [backup-simplify]: Simplify p into p 7.673 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.673 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 7.673 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.673 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.673 * [taylor]: Taking taylor expansion of x in x 7.673 * [backup-simplify]: Simplify 0 into 0 7.673 * [backup-simplify]: Simplify 1 into 1 7.674 * [backup-simplify]: Simplify (* 1 1) into 1 7.674 * [backup-simplify]: Simplify (/ 1 1) into 1 7.674 * [backup-simplify]: Simplify (+ 0 1) into 1 7.674 * [backup-simplify]: Simplify (sqrt 1) into 1 7.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.675 * [backup-simplify]: Simplify (+ 0 0) into 0 7.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.676 * [taylor]: Taking taylor expansion of 1 in p 7.676 * [backup-simplify]: Simplify 1 into 1 7.676 * [taylor]: Taking taylor expansion of 0 in p 7.676 * [backup-simplify]: Simplify 0 into 0 7.676 * [backup-simplify]: Simplify 1 into 1 7.676 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 7.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.677 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 7.678 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 7.678 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 7.678 * [taylor]: Taking taylor expansion of 2 in p 7.678 * [backup-simplify]: Simplify 2 into 2 7.678 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.678 * [taylor]: Taking taylor expansion of p in p 7.678 * [backup-simplify]: Simplify 0 into 0 7.678 * [backup-simplify]: Simplify 1 into 1 7.679 * [backup-simplify]: Simplify (* 1 1) into 1 7.679 * [backup-simplify]: Simplify (/ 2 1) into 2 7.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 7.680 * [backup-simplify]: Simplify 0 into 0 7.680 * [backup-simplify]: Simplify 0 into 0 7.680 * [backup-simplify]: Simplify 0 into 0 7.680 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 7.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 7.681 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 7.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.682 * [backup-simplify]: Simplify (+ 0 0) into 0 7.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 7.683 * [taylor]: Taking taylor expansion of 0 in p 7.683 * [backup-simplify]: Simplify 0 into 0 7.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.684 * [backup-simplify]: Simplify 0 into 0 7.684 * [backup-simplify]: Simplify 0 into 0 7.684 * [backup-simplify]: Simplify 0 into 0 7.684 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 7.684 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 7.684 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 7.685 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 7.685 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 7.685 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 7.685 * [taylor]: Taking taylor expansion of 4 in p 7.685 * [backup-simplify]: Simplify 4 into 4 7.685 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 7.685 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.685 * [taylor]: Taking taylor expansion of p in p 7.685 * [backup-simplify]: Simplify 0 into 0 7.685 * [backup-simplify]: Simplify 1 into 1 7.685 * [backup-simplify]: Simplify (* 1 1) into 1 7.685 * [backup-simplify]: Simplify (/ 1 1) into 1 7.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 7.685 * [taylor]: Taking taylor expansion of (pow x 2) in p 7.685 * [taylor]: Taking taylor expansion of x in p 7.685 * [backup-simplify]: Simplify x into x 7.685 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.685 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.686 * [backup-simplify]: Simplify (* 4 1) into 4 7.686 * [backup-simplify]: Simplify (+ 4 0) into 4 7.686 * [backup-simplify]: Simplify (sqrt 4) into 2 7.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.688 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 7.688 * [backup-simplify]: Simplify (+ 0 0) into 0 7.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 7.688 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 7.688 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 7.688 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 7.688 * [taylor]: Taking taylor expansion of 4 in x 7.688 * [backup-simplify]: Simplify 4 into 4 7.688 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 7.688 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.688 * [taylor]: Taking taylor expansion of p in x 7.688 * [backup-simplify]: Simplify p into p 7.689 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.689 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 7.689 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.689 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.689 * [taylor]: Taking taylor expansion of x in x 7.689 * [backup-simplify]: Simplify 0 into 0 7.689 * [backup-simplify]: Simplify 1 into 1 7.689 * [backup-simplify]: Simplify (* 1 1) into 1 7.689 * [backup-simplify]: Simplify (/ 1 1) into 1 7.689 * [backup-simplify]: Simplify (+ 0 1) into 1 7.690 * [backup-simplify]: Simplify (sqrt 1) into 1 7.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.691 * [backup-simplify]: Simplify (+ 0 0) into 0 7.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.691 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 7.691 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 7.691 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 7.691 * [taylor]: Taking taylor expansion of 4 in x 7.691 * [backup-simplify]: Simplify 4 into 4 7.691 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 7.691 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.691 * [taylor]: Taking taylor expansion of p in x 7.691 * [backup-simplify]: Simplify p into p 7.692 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.692 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 7.692 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.692 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.692 * [taylor]: Taking taylor expansion of x in x 7.692 * [backup-simplify]: Simplify 0 into 0 7.692 * [backup-simplify]: Simplify 1 into 1 7.692 * [backup-simplify]: Simplify (* 1 1) into 1 7.692 * [backup-simplify]: Simplify (/ 1 1) into 1 7.692 * [backup-simplify]: Simplify (+ 0 1) into 1 7.693 * [backup-simplify]: Simplify (sqrt 1) into 1 7.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.694 * [backup-simplify]: Simplify (+ 0 0) into 0 7.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.694 * [taylor]: Taking taylor expansion of 1 in p 7.694 * [backup-simplify]: Simplify 1 into 1 7.694 * [taylor]: Taking taylor expansion of 0 in p 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify 1 into 1 7.695 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 7.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.696 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 7.697 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 7.697 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 7.697 * [taylor]: Taking taylor expansion of 2 in p 7.697 * [backup-simplify]: Simplify 2 into 2 7.697 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.697 * [taylor]: Taking taylor expansion of p in p 7.697 * [backup-simplify]: Simplify 0 into 0 7.697 * [backup-simplify]: Simplify 1 into 1 7.697 * [backup-simplify]: Simplify (* 1 1) into 1 7.698 * [backup-simplify]: Simplify (/ 2 1) into 2 7.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 7.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 7.699 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 7.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.701 * [backup-simplify]: Simplify (+ 0 0) into 0 7.702 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 7.702 * [taylor]: Taking taylor expansion of 0 in p 7.702 * [backup-simplify]: Simplify 0 into 0 7.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.703 * [backup-simplify]: Simplify 0 into 0 7.703 * [backup-simplify]: Simplify 0 into 0 7.703 * [backup-simplify]: Simplify 0 into 0 7.703 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 7.703 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2) 7.703 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p p) 4))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 7.703 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 7.703 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 7.703 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 7.703 * [taylor]: Taking taylor expansion of (pow x 2) in p 7.703 * [taylor]: Taking taylor expansion of x in p 7.703 * [backup-simplify]: Simplify x into x 7.703 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 7.703 * [taylor]: Taking taylor expansion of 4 in p 7.703 * [backup-simplify]: Simplify 4 into 4 7.703 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.703 * [taylor]: Taking taylor expansion of p in p 7.703 * [backup-simplify]: Simplify 0 into 0 7.703 * [backup-simplify]: Simplify 1 into 1 7.704 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.704 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 7.704 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 7.704 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.704 * [backup-simplify]: Simplify (+ 0 0) into 0 7.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 7.704 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 7.704 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 7.704 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.704 * [taylor]: Taking taylor expansion of x in x 7.704 * [backup-simplify]: Simplify 0 into 0 7.704 * [backup-simplify]: Simplify 1 into 1 7.704 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 7.704 * [taylor]: Taking taylor expansion of 4 in x 7.704 * [backup-simplify]: Simplify 4 into 4 7.704 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.704 * [taylor]: Taking taylor expansion of p in x 7.704 * [backup-simplify]: Simplify p into p 7.704 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.704 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 7.705 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 7.705 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 7.705 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 7.705 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 7.705 * [backup-simplify]: Simplify (+ 0 0) into 0 7.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 7.705 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 7.706 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 7.706 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.706 * [taylor]: Taking taylor expansion of x in x 7.706 * [backup-simplify]: Simplify 0 into 0 7.706 * [backup-simplify]: Simplify 1 into 1 7.706 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 7.706 * [taylor]: Taking taylor expansion of 4 in x 7.706 * [backup-simplify]: Simplify 4 into 4 7.706 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.706 * [taylor]: Taking taylor expansion of p in x 7.706 * [backup-simplify]: Simplify p into p 7.706 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.706 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 7.706 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 7.706 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 7.706 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 7.706 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 7.707 * [backup-simplify]: Simplify (+ 0 0) into 0 7.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 7.707 * [taylor]: Taking taylor expansion of (* 2 p) in p 7.707 * [taylor]: Taking taylor expansion of 2 in p 7.707 * [backup-simplify]: Simplify 2 into 2 7.707 * [taylor]: Taking taylor expansion of p in p 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify 1 into 1 7.707 * [backup-simplify]: Simplify (* 2 0) into 0 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [taylor]: Taking taylor expansion of 0 in p 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 7.708 * [backup-simplify]: Simplify 2 into 2 7.708 * [backup-simplify]: Simplify (* 1 1) into 1 7.708 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 7.709 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 7.709 * [backup-simplify]: Simplify (+ 1 0) into 1 7.710 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 7.710 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 7.710 * [taylor]: Taking taylor expansion of 1/4 in p 7.710 * [backup-simplify]: Simplify 1/4 into 1/4 7.710 * [taylor]: Taking taylor expansion of p in p 7.710 * [backup-simplify]: Simplify 0 into 0 7.710 * [backup-simplify]: Simplify 1 into 1 7.712 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 7.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 7.712 * [backup-simplify]: Simplify 0 into 0 7.712 * [backup-simplify]: Simplify 0 into 0 7.713 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 7.713 * [backup-simplify]: Simplify 0 into 0 7.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.714 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 7.715 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 7.715 * [backup-simplify]: Simplify (+ 0 0) into 0 7.715 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 7.715 * [taylor]: Taking taylor expansion of 0 in p 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify 0 into 0 7.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.716 * [backup-simplify]: Simplify 0 into 0 7.716 * [backup-simplify]: Simplify 0 into 0 7.716 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 7.716 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 7.716 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 7.716 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 7.716 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 7.716 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 7.716 * [taylor]: Taking taylor expansion of 4 in p 7.716 * [backup-simplify]: Simplify 4 into 4 7.716 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 7.717 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.717 * [taylor]: Taking taylor expansion of p in p 7.717 * [backup-simplify]: Simplify 0 into 0 7.717 * [backup-simplify]: Simplify 1 into 1 7.717 * [backup-simplify]: Simplify (* 1 1) into 1 7.717 * [backup-simplify]: Simplify (/ 1 1) into 1 7.717 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 7.717 * [taylor]: Taking taylor expansion of (pow x 2) in p 7.717 * [taylor]: Taking taylor expansion of x in p 7.717 * [backup-simplify]: Simplify x into x 7.717 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.717 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.718 * [backup-simplify]: Simplify (* 4 1) into 4 7.718 * [backup-simplify]: Simplify (+ 4 0) into 4 7.718 * [backup-simplify]: Simplify (sqrt 4) into 2 7.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.719 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 7.720 * [backup-simplify]: Simplify (+ 0 0) into 0 7.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 7.720 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 7.720 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 7.720 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 7.720 * [taylor]: Taking taylor expansion of 4 in x 7.720 * [backup-simplify]: Simplify 4 into 4 7.720 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 7.720 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.720 * [taylor]: Taking taylor expansion of p in x 7.720 * [backup-simplify]: Simplify p into p 7.720 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.720 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 7.720 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.720 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.721 * [taylor]: Taking taylor expansion of x in x 7.721 * [backup-simplify]: Simplify 0 into 0 7.721 * [backup-simplify]: Simplify 1 into 1 7.721 * [backup-simplify]: Simplify (* 1 1) into 1 7.721 * [backup-simplify]: Simplify (/ 1 1) into 1 7.721 * [backup-simplify]: Simplify (+ 0 1) into 1 7.722 * [backup-simplify]: Simplify (sqrt 1) into 1 7.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.723 * [backup-simplify]: Simplify (+ 0 0) into 0 7.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.723 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 7.723 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 7.723 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 7.723 * [taylor]: Taking taylor expansion of 4 in x 7.723 * [backup-simplify]: Simplify 4 into 4 7.723 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 7.723 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.723 * [taylor]: Taking taylor expansion of p in x 7.723 * [backup-simplify]: Simplify p into p 7.723 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.723 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 7.723 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.723 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.723 * [taylor]: Taking taylor expansion of x in x 7.724 * [backup-simplify]: Simplify 0 into 0 7.724 * [backup-simplify]: Simplify 1 into 1 7.724 * [backup-simplify]: Simplify (* 1 1) into 1 7.724 * [backup-simplify]: Simplify (/ 1 1) into 1 7.724 * [backup-simplify]: Simplify (+ 0 1) into 1 7.725 * [backup-simplify]: Simplify (sqrt 1) into 1 7.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.726 * [backup-simplify]: Simplify (+ 0 0) into 0 7.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.726 * [taylor]: Taking taylor expansion of 1 in p 7.726 * [backup-simplify]: Simplify 1 into 1 7.726 * [taylor]: Taking taylor expansion of 0 in p 7.726 * [backup-simplify]: Simplify 0 into 0 7.726 * [backup-simplify]: Simplify 1 into 1 7.726 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 7.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.728 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 7.729 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 7.729 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 7.729 * [taylor]: Taking taylor expansion of 2 in p 7.729 * [backup-simplify]: Simplify 2 into 2 7.729 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.729 * [taylor]: Taking taylor expansion of p in p 7.729 * [backup-simplify]: Simplify 0 into 0 7.729 * [backup-simplify]: Simplify 1 into 1 7.729 * [backup-simplify]: Simplify (* 1 1) into 1 7.729 * [backup-simplify]: Simplify (/ 2 1) into 2 7.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 7.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 7.731 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 7.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.732 * [backup-simplify]: Simplify (+ 0 0) into 0 7.733 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 7.733 * [taylor]: Taking taylor expansion of 0 in p 7.733 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.734 * [backup-simplify]: Simplify 0 into 0 7.734 * [backup-simplify]: Simplify 0 into 0 7.734 * [backup-simplify]: Simplify 0 into 0 7.734 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 7.734 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 7.734 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 7.734 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 7.734 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 7.734 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 7.735 * [taylor]: Taking taylor expansion of 4 in p 7.735 * [backup-simplify]: Simplify 4 into 4 7.735 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 7.735 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.735 * [taylor]: Taking taylor expansion of p in p 7.735 * [backup-simplify]: Simplify 0 into 0 7.735 * [backup-simplify]: Simplify 1 into 1 7.735 * [backup-simplify]: Simplify (* 1 1) into 1 7.735 * [backup-simplify]: Simplify (/ 1 1) into 1 7.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 7.735 * [taylor]: Taking taylor expansion of (pow x 2) in p 7.735 * [taylor]: Taking taylor expansion of x in p 7.735 * [backup-simplify]: Simplify x into x 7.735 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.735 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.736 * [backup-simplify]: Simplify (* 4 1) into 4 7.736 * [backup-simplify]: Simplify (+ 4 0) into 4 7.736 * [backup-simplify]: Simplify (sqrt 4) into 2 7.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.737 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 7.738 * [backup-simplify]: Simplify (+ 0 0) into 0 7.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 7.738 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 7.738 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 7.738 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 7.738 * [taylor]: Taking taylor expansion of 4 in x 7.738 * [backup-simplify]: Simplify 4 into 4 7.738 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 7.738 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.738 * [taylor]: Taking taylor expansion of p in x 7.738 * [backup-simplify]: Simplify p into p 7.738 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.738 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 7.739 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.739 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.739 * [taylor]: Taking taylor expansion of x in x 7.739 * [backup-simplify]: Simplify 0 into 0 7.739 * [backup-simplify]: Simplify 1 into 1 7.739 * [backup-simplify]: Simplify (* 1 1) into 1 7.739 * [backup-simplify]: Simplify (/ 1 1) into 1 7.739 * [backup-simplify]: Simplify (+ 0 1) into 1 7.740 * [backup-simplify]: Simplify (sqrt 1) into 1 7.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.741 * [backup-simplify]: Simplify (+ 0 0) into 0 7.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.741 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 7.741 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 7.741 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 7.741 * [taylor]: Taking taylor expansion of 4 in x 7.741 * [backup-simplify]: Simplify 4 into 4 7.741 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 7.741 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.741 * [taylor]: Taking taylor expansion of p in x 7.741 * [backup-simplify]: Simplify p into p 7.741 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.742 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 7.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.742 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.742 * [taylor]: Taking taylor expansion of x in x 7.742 * [backup-simplify]: Simplify 0 into 0 7.742 * [backup-simplify]: Simplify 1 into 1 7.742 * [backup-simplify]: Simplify (* 1 1) into 1 7.742 * [backup-simplify]: Simplify (/ 1 1) into 1 7.742 * [backup-simplify]: Simplify (+ 0 1) into 1 7.743 * [backup-simplify]: Simplify (sqrt 1) into 1 7.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.744 * [backup-simplify]: Simplify (+ 0 0) into 0 7.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.744 * [taylor]: Taking taylor expansion of 1 in p 7.744 * [backup-simplify]: Simplify 1 into 1 7.744 * [taylor]: Taking taylor expansion of 0 in p 7.744 * [backup-simplify]: Simplify 0 into 0 7.744 * [backup-simplify]: Simplify 1 into 1 7.745 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 7.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.746 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 7.747 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 7.747 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 7.747 * [taylor]: Taking taylor expansion of 2 in p 7.747 * [backup-simplify]: Simplify 2 into 2 7.747 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.747 * [taylor]: Taking taylor expansion of p in p 7.747 * [backup-simplify]: Simplify 0 into 0 7.747 * [backup-simplify]: Simplify 1 into 1 7.747 * [backup-simplify]: Simplify (* 1 1) into 1 7.748 * [backup-simplify]: Simplify (/ 2 1) into 2 7.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 7.749 * [backup-simplify]: Simplify 0 into 0 7.749 * [backup-simplify]: Simplify 0 into 0 7.749 * [backup-simplify]: Simplify 0 into 0 7.749 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 7.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 7.749 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 7.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.751 * [backup-simplify]: Simplify (+ 0 0) into 0 7.751 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 7.751 * [taylor]: Taking taylor expansion of 0 in p 7.751 * [backup-simplify]: Simplify 0 into 0 7.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.753 * [backup-simplify]: Simplify 0 into 0 7.753 * [backup-simplify]: Simplify 0 into 0 7.753 * [backup-simplify]: Simplify 0 into 0 7.753 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 7.753 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 2) 7.753 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* (* p p) 4))) into (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) 7.753 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 7.753 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) in p 7.753 * [taylor]: Taking taylor expansion of (pow x 2) in p 7.753 * [taylor]: Taking taylor expansion of x in p 7.753 * [backup-simplify]: Simplify x into x 7.753 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 7.753 * [taylor]: Taking taylor expansion of (pow x 2) in p 7.753 * [taylor]: Taking taylor expansion of x in p 7.753 * [backup-simplify]: Simplify x into x 7.753 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 7.753 * [taylor]: Taking taylor expansion of 4 in p 7.753 * [backup-simplify]: Simplify 4 into 4 7.753 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.753 * [taylor]: Taking taylor expansion of p in p 7.753 * [backup-simplify]: Simplify 0 into 0 7.753 * [backup-simplify]: Simplify 1 into 1 7.753 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.753 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.753 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 7.754 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 7.754 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) in x 7.754 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.754 * [taylor]: Taking taylor expansion of x in x 7.754 * [backup-simplify]: Simplify 0 into 0 7.754 * [backup-simplify]: Simplify 1 into 1 7.754 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 7.754 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.754 * [taylor]: Taking taylor expansion of x in x 7.754 * [backup-simplify]: Simplify 0 into 0 7.754 * [backup-simplify]: Simplify 1 into 1 7.754 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 7.754 * [taylor]: Taking taylor expansion of 4 in x 7.754 * [backup-simplify]: Simplify 4 into 4 7.754 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.754 * [taylor]: Taking taylor expansion of p in x 7.754 * [backup-simplify]: Simplify p into p 7.755 * [backup-simplify]: Simplify (* 1 1) into 1 7.755 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.755 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 7.755 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 7.755 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 7.755 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) in x 7.755 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.755 * [taylor]: Taking taylor expansion of x in x 7.755 * [backup-simplify]: Simplify 0 into 0 7.755 * [backup-simplify]: Simplify 1 into 1 7.755 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 7.755 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.755 * [taylor]: Taking taylor expansion of x in x 7.755 * [backup-simplify]: Simplify 0 into 0 7.756 * [backup-simplify]: Simplify 1 into 1 7.756 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 7.756 * [taylor]: Taking taylor expansion of 4 in x 7.756 * [backup-simplify]: Simplify 4 into 4 7.756 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.756 * [taylor]: Taking taylor expansion of p in x 7.756 * [backup-simplify]: Simplify p into p 7.756 * [backup-simplify]: Simplify (* 1 1) into 1 7.756 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.757 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 7.757 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 7.757 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 7.757 * [taylor]: Taking taylor expansion of (/ 1/4 (pow p 2)) in p 7.757 * [taylor]: Taking taylor expansion of 1/4 in p 7.757 * [backup-simplify]: Simplify 1/4 into 1/4 7.757 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.757 * [taylor]: Taking taylor expansion of p in p 7.757 * [backup-simplify]: Simplify 0 into 0 7.757 * [backup-simplify]: Simplify 1 into 1 7.758 * [backup-simplify]: Simplify (* 1 1) into 1 7.758 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 7.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 7.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.763 * [backup-simplify]: Simplify 0 into 0 7.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.764 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 7.764 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 7.765 * [backup-simplify]: Simplify (+ 0 0) into 0 7.765 * [backup-simplify]: Simplify (- (/ 0 (* 4 (pow p 2))) (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 7.765 * [taylor]: Taking taylor expansion of 0 in p 7.765 * [backup-simplify]: Simplify 0 into 0 7.765 * [backup-simplify]: Simplify 0 into 0 7.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.768 * [backup-simplify]: Simplify 0 into 0 7.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.770 * [backup-simplify]: Simplify (* 1 1) into 1 7.770 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 7.771 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 7.772 * [backup-simplify]: Simplify (+ 1 0) into 1 7.772 * [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)))) 7.772 * [taylor]: Taking taylor expansion of (- (* 1/16 (/ 1 (pow p 4)))) in p 7.772 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow p 4))) in p 7.772 * [taylor]: Taking taylor expansion of 1/16 in p 7.772 * [backup-simplify]: Simplify 1/16 into 1/16 7.772 * [taylor]: Taking taylor expansion of (/ 1 (pow p 4)) in p 7.772 * [taylor]: Taking taylor expansion of (pow p 4) in p 7.772 * [taylor]: Taking taylor expansion of p in p 7.772 * [backup-simplify]: Simplify 0 into 0 7.772 * [backup-simplify]: Simplify 1 into 1 7.773 * [backup-simplify]: Simplify (* 1 1) into 1 7.773 * [backup-simplify]: Simplify (* 1 1) into 1 7.774 * [backup-simplify]: Simplify (/ 1 1) into 1 7.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.784 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.784 * [backup-simplify]: Simplify (- 0) into 0 7.785 * [backup-simplify]: Simplify 0 into 0 7.785 * [backup-simplify]: Simplify 0 into 0 7.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.786 * [backup-simplify]: Simplify 0 into 0 7.786 * [backup-simplify]: Simplify 0 into 0 7.786 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))) into (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) 7.786 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in (x p) around 0 7.786 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 7.786 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 7.786 * [taylor]: Taking taylor expansion of (pow x 2) in p 7.786 * [taylor]: Taking taylor expansion of x in p 7.786 * [backup-simplify]: Simplify x into x 7.786 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 7.786 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 7.786 * [taylor]: Taking taylor expansion of 4 in p 7.786 * [backup-simplify]: Simplify 4 into 4 7.786 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 7.786 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.786 * [taylor]: Taking taylor expansion of p in p 7.786 * [backup-simplify]: Simplify 0 into 0 7.786 * [backup-simplify]: Simplify 1 into 1 7.787 * [backup-simplify]: Simplify (* 1 1) into 1 7.787 * [backup-simplify]: Simplify (/ 1 1) into 1 7.787 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 7.787 * [taylor]: Taking taylor expansion of (pow x 2) in p 7.787 * [taylor]: Taking taylor expansion of x in p 7.787 * [backup-simplify]: Simplify x into x 7.787 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.787 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.787 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.787 * [backup-simplify]: Simplify (* 4 1) into 4 7.788 * [backup-simplify]: Simplify (+ 4 0) into 4 7.788 * [backup-simplify]: Simplify (* (pow x 2) 4) into (* 4 (pow x 2)) 7.788 * [backup-simplify]: Simplify (/ 1 (* 4 (pow x 2))) into (/ 1/4 (pow x 2)) 7.788 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 7.788 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 7.788 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.788 * [taylor]: Taking taylor expansion of x in x 7.788 * [backup-simplify]: Simplify 0 into 0 7.788 * [backup-simplify]: Simplify 1 into 1 7.788 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 7.788 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 7.788 * [taylor]: Taking taylor expansion of 4 in x 7.788 * [backup-simplify]: Simplify 4 into 4 7.788 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 7.788 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.788 * [taylor]: Taking taylor expansion of p in x 7.788 * [backup-simplify]: Simplify p into p 7.788 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.788 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 7.788 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.788 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.788 * [taylor]: Taking taylor expansion of x in x 7.788 * [backup-simplify]: Simplify 0 into 0 7.788 * [backup-simplify]: Simplify 1 into 1 7.788 * [backup-simplify]: Simplify (* 1 1) into 1 7.789 * [backup-simplify]: Simplify (/ 1 1) into 1 7.789 * [backup-simplify]: Simplify (* 1 1) into 1 7.789 * [backup-simplify]: Simplify (+ 0 1) into 1 7.789 * [backup-simplify]: Simplify (* 1 1) into 1 7.790 * [backup-simplify]: Simplify (/ 1 1) into 1 7.790 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 7.790 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 7.790 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.790 * [taylor]: Taking taylor expansion of x in x 7.790 * [backup-simplify]: Simplify 0 into 0 7.790 * [backup-simplify]: Simplify 1 into 1 7.790 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 7.790 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 7.790 * [taylor]: Taking taylor expansion of 4 in x 7.790 * [backup-simplify]: Simplify 4 into 4 7.790 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 7.790 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.790 * [taylor]: Taking taylor expansion of p in x 7.790 * [backup-simplify]: Simplify p into p 7.790 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.790 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 7.790 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.790 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.790 * [taylor]: Taking taylor expansion of x in x 7.790 * [backup-simplify]: Simplify 0 into 0 7.790 * [backup-simplify]: Simplify 1 into 1 7.790 * [backup-simplify]: Simplify (* 1 1) into 1 7.791 * [backup-simplify]: Simplify (/ 1 1) into 1 7.791 * [backup-simplify]: Simplify (* 1 1) into 1 7.791 * [backup-simplify]: Simplify (+ 0 1) into 1 7.791 * [backup-simplify]: Simplify (* 1 1) into 1 7.792 * [backup-simplify]: Simplify (/ 1 1) into 1 7.792 * [taylor]: Taking taylor expansion of 1 in p 7.792 * [backup-simplify]: Simplify 1 into 1 7.792 * [backup-simplify]: Simplify 0 into 0 7.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.793 * [backup-simplify]: Simplify (+ 0 0) into 0 7.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.794 * [taylor]: Taking taylor expansion of 0 in p 7.794 * [backup-simplify]: Simplify 0 into 0 7.794 * [backup-simplify]: Simplify 0 into 0 7.794 * [backup-simplify]: Simplify 0 into 0 7.794 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 7.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.796 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 7.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.797 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 (pow p 2)))) (+ (* 0 0) (* 0 1))) into (* 4 (/ 1 (pow p 2))) 7.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 7.798 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow p 2)))) in p 7.798 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 7.798 * [taylor]: Taking taylor expansion of 4 in p 7.798 * [backup-simplify]: Simplify 4 into 4 7.798 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 7.798 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.798 * [taylor]: Taking taylor expansion of p in p 7.798 * [backup-simplify]: Simplify 0 into 0 7.798 * [backup-simplify]: Simplify 1 into 1 7.798 * [backup-simplify]: Simplify (* 1 1) into 1 7.798 * [backup-simplify]: Simplify (/ 1 1) into 1 7.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.804 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.804 * [backup-simplify]: Simplify (- 0) into 0 7.804 * [backup-simplify]: Simplify 0 into 0 7.804 * [backup-simplify]: Simplify 0 into 0 7.804 * [backup-simplify]: Simplify 0 into 0 7.804 * [backup-simplify]: Simplify 0 into 0 7.805 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))) into (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) 7.805 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in (x p) around 0 7.805 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 7.805 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 7.805 * [taylor]: Taking taylor expansion of (pow x 2) in p 7.805 * [taylor]: Taking taylor expansion of x in p 7.805 * [backup-simplify]: Simplify x into x 7.805 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 7.805 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 7.805 * [taylor]: Taking taylor expansion of 4 in p 7.805 * [backup-simplify]: Simplify 4 into 4 7.805 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 7.805 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.805 * [taylor]: Taking taylor expansion of p in p 7.805 * [backup-simplify]: Simplify 0 into 0 7.805 * [backup-simplify]: Simplify 1 into 1 7.805 * [backup-simplify]: Simplify (* 1 1) into 1 7.806 * [backup-simplify]: Simplify (/ 1 1) into 1 7.806 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 7.806 * [taylor]: Taking taylor expansion of (pow x 2) in p 7.806 * [taylor]: Taking taylor expansion of x in p 7.806 * [backup-simplify]: Simplify x into x 7.806 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.806 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.806 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.806 * [backup-simplify]: Simplify (* 4 1) into 4 7.806 * [backup-simplify]: Simplify (+ 4 0) into 4 7.806 * [backup-simplify]: Simplify (* (pow x 2) 4) into (* 4 (pow x 2)) 7.806 * [backup-simplify]: Simplify (/ 1 (* 4 (pow x 2))) into (/ 1/4 (pow x 2)) 7.807 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 7.807 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 7.807 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.807 * [taylor]: Taking taylor expansion of x in x 7.807 * [backup-simplify]: Simplify 0 into 0 7.807 * [backup-simplify]: Simplify 1 into 1 7.807 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 7.807 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 7.807 * [taylor]: Taking taylor expansion of 4 in x 7.807 * [backup-simplify]: Simplify 4 into 4 7.807 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 7.807 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.807 * [taylor]: Taking taylor expansion of p in x 7.807 * [backup-simplify]: Simplify p into p 7.807 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.807 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 7.807 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.807 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.807 * [taylor]: Taking taylor expansion of x in x 7.807 * [backup-simplify]: Simplify 0 into 0 7.807 * [backup-simplify]: Simplify 1 into 1 7.807 * [backup-simplify]: Simplify (* 1 1) into 1 7.807 * [backup-simplify]: Simplify (/ 1 1) into 1 7.808 * [backup-simplify]: Simplify (* 1 1) into 1 7.808 * [backup-simplify]: Simplify (+ 0 1) into 1 7.808 * [backup-simplify]: Simplify (* 1 1) into 1 7.808 * [backup-simplify]: Simplify (/ 1 1) into 1 7.808 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 7.808 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 7.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.809 * [taylor]: Taking taylor expansion of x in x 7.809 * [backup-simplify]: Simplify 0 into 0 7.809 * [backup-simplify]: Simplify 1 into 1 7.809 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 7.809 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 7.809 * [taylor]: Taking taylor expansion of 4 in x 7.809 * [backup-simplify]: Simplify 4 into 4 7.809 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 7.809 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.809 * [taylor]: Taking taylor expansion of p in x 7.809 * [backup-simplify]: Simplify p into p 7.809 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.809 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 7.809 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.809 * [taylor]: Taking taylor expansion of x in x 7.809 * [backup-simplify]: Simplify 0 into 0 7.809 * [backup-simplify]: Simplify 1 into 1 7.809 * [backup-simplify]: Simplify (* 1 1) into 1 7.810 * [backup-simplify]: Simplify (/ 1 1) into 1 7.810 * [backup-simplify]: Simplify (* 1 1) into 1 7.810 * [backup-simplify]: Simplify (+ 0 1) into 1 7.811 * [backup-simplify]: Simplify (* 1 1) into 1 7.811 * [backup-simplify]: Simplify (/ 1 1) into 1 7.811 * [taylor]: Taking taylor expansion of 1 in p 7.811 * [backup-simplify]: Simplify 1 into 1 7.811 * [backup-simplify]: Simplify 0 into 0 7.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.813 * [backup-simplify]: Simplify (+ 0 0) into 0 7.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.816 * [taylor]: Taking taylor expansion of 0 in p 7.816 * [backup-simplify]: Simplify 0 into 0 7.816 * [backup-simplify]: Simplify 0 into 0 7.816 * [backup-simplify]: Simplify 0 into 0 7.816 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 7.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.818 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 7.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.820 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 (pow p 2)))) (+ (* 0 0) (* 0 1))) into (* 4 (/ 1 (pow p 2))) 7.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 7.821 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow p 2)))) in p 7.821 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 7.821 * [taylor]: Taking taylor expansion of 4 in p 7.821 * [backup-simplify]: Simplify 4 into 4 7.821 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 7.821 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.821 * [taylor]: Taking taylor expansion of p in p 7.821 * [backup-simplify]: Simplify 0 into 0 7.821 * [backup-simplify]: Simplify 1 into 1 7.822 * [backup-simplify]: Simplify (* 1 1) into 1 7.822 * [backup-simplify]: Simplify (/ 1 1) into 1 7.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.830 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.830 * [backup-simplify]: Simplify (- 0) into 0 7.830 * [backup-simplify]: Simplify 0 into 0 7.830 * [backup-simplify]: Simplify 0 into 0 7.830 * [backup-simplify]: Simplify 0 into 0 7.830 * [backup-simplify]: Simplify 0 into 0 7.830 * * * [progress]: simplifying candidates 7.830 * * * * [progress]: [ 1 / 84 ] simplifiying candidate # 7.831 * * * * [progress]: [ 2 / 84 ] simplifiying candidate # 7.831 * * * * [progress]: [ 3 / 84 ] simplifiying candidate # 7.831 * * * * [progress]: [ 4 / 84 ] simplifiying candidate # 7.831 * * * * [progress]: [ 5 / 84 ] simplifiying candidate # 7.831 * * * * [progress]: [ 6 / 84 ] simplifiying candidate # 7.831 * * * * [progress]: [ 7 / 84 ] simplifiying candidate # 7.831 * * * * [progress]: [ 8 / 84 ] simplifiying candidate # 7.831 * * * * [progress]: [ 9 / 84 ] simplifiying candidate # 7.831 * * * * [progress]: [ 10 / 84 ] simplifiying candidate # 7.831 * * * * [progress]: [ 11 / 84 ] simplifiying candidate # 7.831 * * * * [progress]: [ 12 / 84 ] simplifiying candidate # 7.831 * * * * [progress]: [ 13 / 84 ] simplifiying candidate # 7.831 * * * * [progress]: [ 14 / 84 ] simplifiying candidate # 7.831 * * * * [progress]: [ 15 / 84 ] simplifiying candidate # 7.831 * * * * [progress]: [ 16 / 84 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)) (* 0.5 0.5)))))> 7.831 * * * * [progress]: [ 17 / 84 ] simplifiying candidate # 7.831 * * * * [progress]: [ 18 / 84 ] simplifiying candidate # 7.832 * * * * [progress]: [ 19 / 84 ] simplifiying candidate # 7.832 * * * * [progress]: [ 20 / 84 ] simplifiying candidate # 7.832 * * * * [progress]: [ 21 / 84 ] simplifiying candidate # 7.832 * * * * [progress]: [ 22 / 84 ] simplifiying candidate # 7.832 * * * * [progress]: [ 23 / 84 ] simplifiying candidate # 7.832 * * * * [progress]: [ 24 / 84 ] simplifiying candidate # 7.832 * * * * [progress]: [ 25 / 84 ] simplifiying candidate # 7.832 * * * * [progress]: [ 26 / 84 ] simplifiying candidate # 7.832 * * * * [progress]: [ 27 / 84 ] simplifiying candidate # 7.832 * * * * [progress]: [ 28 / 84 ] simplifiying candidate # 7.832 * * * * [progress]: [ 29 / 84 ] simplifiying candidate # 7.832 * * * * [progress]: [ 30 / 84 ] simplifiying candidate # 7.832 * * * * [progress]: [ 31 / 84 ] simplifiying candidate # 7.832 * * * * [progress]: [ 32 / 84 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* (* p p) 4))))))) (- (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)) (* 0.5 0.5)))))> 7.832 * * * * [progress]: [ 33 / 84 ] simplifiying candidate # 7.832 * * * * [progress]: [ 34 / 84 ] simplifiying candidate # 7.832 * * * * [progress]: [ 35 / 84 ] simplifiying candidate # 7.832 * * * * [progress]: [ 36 / 84 ] simplifiying candidate # 7.832 * * * * [progress]: [ 37 / 84 ] simplifiying candidate # 7.833 * * * * [progress]: [ 38 / 84 ] simplifiying candidate # 7.833 * * * * [progress]: [ 39 / 84 ] simplifiying candidate # 7.833 * * * * [progress]: [ 40 / 84 ] simplifiying candidate # 7.833 * * * * [progress]: [ 41 / 84 ] simplifiying candidate # 7.833 * * * * [progress]: [ 42 / 84 ] simplifiying candidate # 7.833 * * * * [progress]: [ 43 / 84 ] simplifiying candidate # 7.833 * * * * [progress]: [ 44 / 84 ] simplifiying candidate # 7.833 * * * * [progress]: [ 45 / 84 ] simplifiying candidate # 7.833 * * * * [progress]: [ 46 / 84 ] simplifiying candidate # 7.833 * * * * [progress]: [ 47 / 84 ] simplifiying candidate # 7.833 * * * * [progress]: [ 48 / 84 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* (* p p) 4)))))))) (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (- (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)) (* 0.5 0.5)))))> 7.833 * * * * [progress]: [ 49 / 84 ] simplifiying candidate # 7.833 * * * * [progress]: [ 50 / 84 ] simplifiying candidate # 7.833 * * * * [progress]: [ 51 / 84 ] simplifiying candidate # 7.833 * * * * [progress]: [ 52 / 84 ] simplifiying candidate # 7.833 * * * * [progress]: [ 53 / 84 ] simplifiying candidate # 7.833 * * * * [progress]: [ 54 / 84 ] simplifiying candidate # 7.833 * * * * [progress]: [ 55 / 84 ] simplifiying candidate # 7.834 * * * * [progress]: [ 56 / 84 ] simplifiying candidate # 7.834 * * * * [progress]: [ 57 / 84 ] simplifiying candidate # 7.834 * * * * [progress]: [ 58 / 84 ] simplifiying candidate # 7.834 * * * * [progress]: [ 59 / 84 ] simplifiying candidate # 7.834 * * * * [progress]: [ 60 / 84 ] simplifiying candidate # 7.834 * * * * [progress]: [ 61 / 84 ] simplifiying candidate # 7.834 * * * * [progress]: [ 62 / 84 ] simplifiying candidate # 7.834 * * * * [progress]: [ 63 / 84 ] simplifiying candidate # 7.834 * * * * [progress]: [ 64 / 84 ] simplifiying candidate # 7.834 * * * * [progress]: [ 65 / 84 ] simplifiying candidate # 7.834 * * * * [progress]: [ 66 / 84 ] simplifiying candidate # 7.834 * * * * [progress]: [ 67 / 84 ] simplifiying candidate # 7.834 * * * * [progress]: [ 68 / 84 ] simplifiying candidate # 7.834 * * * * [progress]: [ 69 / 84 ] simplifiying candidate # 7.834 * * * * [progress]: [ 70 / 84 ] simplifiying candidate # 7.834 * * * * [progress]: [ 71 / 84 ] simplifiying candidate # 7.835 * * * * [progress]: [ 72 / 84 ] simplifiying candidate #real (real->posit16 (/ (* x x) (+ (* x x) (* (* p p) 4)))))) (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (- (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)) (* 0.5 0.5)))))> 7.835 * * * * [progress]: [ 73 / 84 ] simplifiying candidate # 7.835 * * * * [progress]: [ 74 / 84 ] simplifiying candidate # 7.835 * * * * [progress]: [ 75 / 84 ] simplifiying candidate # 7.835 * * * * [progress]: [ 76 / 84 ] simplifiying candidate # 7.835 * * * * [progress]: [ 77 / 84 ] simplifiying candidate # 7.835 * * * * [progress]: [ 78 / 84 ] simplifiying candidate # 7.835 * * * * [progress]: [ 79 / 84 ] simplifiying candidate # 7.835 * * * * [progress]: [ 80 / 84 ] simplifiying candidate # 7.835 * * * * [progress]: [ 81 / 84 ] simplifiying candidate # 7.835 * * * * [progress]: [ 82 / 84 ] simplifiying candidate # 7.835 * * * * [progress]: [ 83 / 84 ] simplifiying candidate # 7.835 * * * * [progress]: [ 84 / 84 ] simplifiying candidate # 7.836 * [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)))) (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)))) (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)))) (- (+ (log x) (log x)) (log (+ (* x x) (* (* p p) 4)))) (- (log (* x x)) (log (+ (* x x) (* (* p p) 4)))) (log (/ (* x x) (+ (* x x) (* (* p p) 4)))) (exp (/ (* x x) (+ (* x x) (* (* p p) 4)))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* (* p p) 4)) (+ (* x x) (* (* p p) 4))) (+ (* x x) (* (* p p) 4)))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* (* p p) 4)) (+ (* x x) (* (* p p) 4))) (+ (* x x) (* (* p p) 4)))) (* (cbrt (/ (* x x) (+ (* x x) (* (* p p) 4)))) (cbrt (/ (* x x) (+ (* x x) (* (* p p) 4))))) (cbrt (/ (* x x) (+ (* x x) (* (* p p) 4)))) (* (* (/ (* x x) (+ (* x x) (* (* p p) 4))) (/ (* x x) (+ (* x x) (* (* p p) 4)))) (/ (* x x) (+ (* x x) (* (* p p) 4)))) (sqrt (/ (* x x) (+ (* x x) (* (* p p) 4)))) (sqrt (/ (* x x) (+ (* x x) (* (* p p) 4)))) (- (* x x)) (- (+ (* x x) (* (* p p) 4))) (/ x (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4))))) (/ x (cbrt (+ (* x x) (* (* p p) 4)))) (/ x (sqrt (+ (* x x) (* (* p p) 4)))) (/ x (sqrt (+ (* x x) (* (* p p) 4)))) (/ x 1) (/ x (+ (* x x) (* (* p p) 4))) (/ 1 (+ (* x x) (* (* p p) 4))) (/ (+ (* x x) (* (* p p) 4)) (* x x)) (/ (* x x) (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4))))) (/ (* x x) (sqrt (+ (* x x) (* (* p p) 4)))) (/ (* x x) 1) (/ (+ (* x x) (* (* p p) 4)) x) (/ (* x x) (+ (pow (* x x) 3) (pow (* (* p p) 4) 3))) (/ (* x x) (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4)))) (real->posit16 (/ (* x x) (+ (* x x) (* (* p p) 4)))) (* 2 p) x (* -1 x) (* 2 p) x (* -1 x) (* 2 p) x (* -1 x) 0 0 0 7.837 * * [simplify]: iteration 1: (80 enodes) 7.857 * * [simplify]: iteration 2: (206 enodes) 7.957 * * [simplify]: iteration 3: (774 enodes) 8.564 * * [simplify]: Extracting #0: cost 41 inf + 0 8.564 * * [simplify]: Extracting #1: cost 231 inf + 4 8.566 * * [simplify]: Extracting #2: cost 454 inf + 862 8.572 * * [simplify]: Extracting #3: cost 592 inf + 22586 8.610 * * [simplify]: Extracting #4: cost 220 inf + 137973 8.660 * * [simplify]: Extracting #5: cost 10 inf + 198339 8.720 * * [simplify]: Extracting #6: cost 0 inf + 201679 8.776 * [simplify]: Simplified to: (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)))) (* (+ (* x x) (* (* p p) 4)) (sqrt (+ (* x x) (* (* p p) 4)))) (fabs (cbrt (+ (* x x) (* (* p p) 4)))) (sqrt (cbrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) 1 (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* (* p (* p p)) (* (* p (* p p)) 64)) (* (* (* x x) x) (* (* x x) x)))) (sqrt (+ (* (- (* (* p p) 4) (* x x)) (* (* p p) 4)) (* (* 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)))) (* (+ (* x x) (* (* p p) 4)) (sqrt (+ (* x x) (* (* p p) 4)))) (fabs (cbrt (+ (* x x) (* (* p p) 4)))) (sqrt (cbrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) 1 (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* (* p (* p p)) (* (* p (* p p)) 64)) (* (* (* x x) x) (* (* x x) x)))) (sqrt (+ (* (- (* (* p p) 4) (* x x)) (* (* p p) 4)) (* (* 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)))) (* (+ (* x x) (* (* p p) 4)) (sqrt (+ (* x x) (* (* p p) 4)))) (fabs (cbrt (+ (* x x) (* (* p p) 4)))) (sqrt (cbrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) 1 (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* (* p (* p p)) (* (* p (* p p)) 64)) (* (* (* x x) x) (* (* x x) x)))) (sqrt (+ (* (- (* (* p p) 4) (* x x)) (* (* p p) 4)) (* (* 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 (/ (* x x) (+ (* x x) (* (* p p) 4)))) (log (/ (* x x) (+ (* x x) (* (* p p) 4)))) (log (/ (* x x) (+ (* x x) (* (* p p) 4)))) (exp (/ (* x x) (+ (* x x) (* (* p p) 4)))) (* (/ (* x x) (+ (* x x) (* (* p p) 4))) (* (/ (* x x) (+ (* x x) (* (* p p) 4))) (/ (* x x) (+ (* x x) (* (* p p) 4))))) (* (/ (* x x) (+ (* x x) (* (* p p) 4))) (* (/ (* x x) (+ (* x x) (* (* p p) 4))) (/ (* x x) (+ (* x x) (* (* p p) 4))))) (* (cbrt (/ (* x x) (+ (* x x) (* (* p p) 4)))) (cbrt (/ (* x x) (+ (* x x) (* (* p p) 4))))) (cbrt (/ (* x x) (+ (* x x) (* (* p p) 4)))) (* (/ (* x x) (+ (* x x) (* (* p p) 4))) (* (/ (* x x) (+ (* x x) (* (* p p) 4))) (/ (* x x) (+ (* x x) (* (* p p) 4))))) (sqrt (/ (* x x) (+ (* x x) (* (* p p) 4)))) (sqrt (/ (* x x) (+ (* x x) (* (* p p) 4)))) (* (- x) x) (- (* (- x) x) (* (* p p) 4)) (/ (/ x (cbrt (+ (* x x) (* (* p p) 4)))) (cbrt (+ (* x x) (* (* p p) 4)))) (/ x (cbrt (+ (* x x) (* (* p p) 4)))) (/ x (sqrt (+ (* x x) (* (* p p) 4)))) (/ x (sqrt (+ (* x x) (* (* p p) 4)))) x (/ x (+ (* x x) (* (* p p) 4))) (/ 1 (+ (* x x) (* (* p p) 4))) (/ (+ (* x x) (* (* p p) 4)) (* x x)) (* (/ x (cbrt (+ (* x x) (* (* p p) 4)))) (/ x (cbrt (+ (* x x) (* (* p p) 4))))) (/ (* x x) (sqrt (+ (* x x) (* (* p p) 4)))) (* x x) (/ (+ (* x x) (* (* p p) 4)) x) (/ (* x x) (+ (* (* p (* p p)) (* (* p (* p p)) 64)) (* (* (* x x) x) (* (* x x) x)))) (/ (* x x) (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4)))) (real->posit16 (/ (* x x) (+ (* x x) (* (* p p) 4)))) (* p 2) x (- x) (* p 2) x (- x) (* p 2) x (- x) 0 0 0 8.795 * * * [progress]: adding candidates to table 9.878 * * [progress]: iteration 4 / 4 9.878 * * * [progress]: picking best candidate 9.977 * * * * [pick]: Picked # 9.977 * * * [progress]: localizing error 10.052 * * * [progress]: generating rewritten candidates 10.052 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 2 1 2 2) 10.059 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2 2) 10.066 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2) 10.072 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 2 2 2) 10.090 * * * [progress]: generating series expansions 10.090 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 2 1 2 2) 10.090 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p p) 4))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 10.091 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 10.091 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 10.091 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 10.091 * [taylor]: Taking taylor expansion of (pow x 2) in p 10.091 * [taylor]: Taking taylor expansion of x in p 10.091 * [backup-simplify]: Simplify x into x 10.091 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 10.091 * [taylor]: Taking taylor expansion of 4 in p 10.091 * [backup-simplify]: Simplify 4 into 4 10.091 * [taylor]: Taking taylor expansion of (pow p 2) in p 10.091 * [taylor]: Taking taylor expansion of p in p 10.091 * [backup-simplify]: Simplify 0 into 0 10.091 * [backup-simplify]: Simplify 1 into 1 10.091 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.091 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 10.091 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 10.091 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 10.092 * [backup-simplify]: Simplify (+ 0 0) into 0 10.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 10.092 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 10.092 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 10.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.092 * [taylor]: Taking taylor expansion of x in x 10.092 * [backup-simplify]: Simplify 0 into 0 10.092 * [backup-simplify]: Simplify 1 into 1 10.092 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 10.092 * [taylor]: Taking taylor expansion of 4 in x 10.092 * [backup-simplify]: Simplify 4 into 4 10.092 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.092 * [taylor]: Taking taylor expansion of p in x 10.092 * [backup-simplify]: Simplify p into p 10.093 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.093 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 10.093 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 10.093 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 10.093 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 10.094 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 10.094 * [backup-simplify]: Simplify (+ 0 0) into 0 10.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 10.094 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 10.094 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 10.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.094 * [taylor]: Taking taylor expansion of x in x 10.094 * [backup-simplify]: Simplify 0 into 0 10.094 * [backup-simplify]: Simplify 1 into 1 10.094 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 10.094 * [taylor]: Taking taylor expansion of 4 in x 10.094 * [backup-simplify]: Simplify 4 into 4 10.094 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.095 * [taylor]: Taking taylor expansion of p in x 10.095 * [backup-simplify]: Simplify p into p 10.095 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.095 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 10.095 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 10.095 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 10.095 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 10.096 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 10.096 * [backup-simplify]: Simplify (+ 0 0) into 0 10.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 10.096 * [taylor]: Taking taylor expansion of (* 2 p) in p 10.096 * [taylor]: Taking taylor expansion of 2 in p 10.096 * [backup-simplify]: Simplify 2 into 2 10.096 * [taylor]: Taking taylor expansion of p in p 10.096 * [backup-simplify]: Simplify 0 into 0 10.096 * [backup-simplify]: Simplify 1 into 1 10.097 * [backup-simplify]: Simplify (* 2 0) into 0 10.097 * [backup-simplify]: Simplify 0 into 0 10.097 * [taylor]: Taking taylor expansion of 0 in p 10.097 * [backup-simplify]: Simplify 0 into 0 10.097 * [backup-simplify]: Simplify 0 into 0 10.098 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 10.098 * [backup-simplify]: Simplify 2 into 2 10.098 * [backup-simplify]: Simplify (* 1 1) into 1 10.099 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 10.100 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 10.100 * [backup-simplify]: Simplify (+ 1 0) into 1 10.101 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 10.101 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 10.101 * [taylor]: Taking taylor expansion of 1/4 in p 10.101 * [backup-simplify]: Simplify 1/4 into 1/4 10.101 * [taylor]: Taking taylor expansion of p in p 10.101 * [backup-simplify]: Simplify 0 into 0 10.101 * [backup-simplify]: Simplify 1 into 1 10.101 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 10.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 10.102 * [backup-simplify]: Simplify 0 into 0 10.102 * [backup-simplify]: Simplify 0 into 0 10.103 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 10.103 * [backup-simplify]: Simplify 0 into 0 10.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.105 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 10.106 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 10.107 * [backup-simplify]: Simplify (+ 0 0) into 0 10.107 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 10.107 * [taylor]: Taking taylor expansion of 0 in p 10.107 * [backup-simplify]: Simplify 0 into 0 10.107 * [backup-simplify]: Simplify 0 into 0 10.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.108 * [backup-simplify]: Simplify 0 into 0 10.108 * [backup-simplify]: Simplify 0 into 0 10.108 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 10.108 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 10.109 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 10.109 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 10.109 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 10.109 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 10.109 * [taylor]: Taking taylor expansion of 4 in p 10.109 * [backup-simplify]: Simplify 4 into 4 10.109 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 10.109 * [taylor]: Taking taylor expansion of (pow p 2) in p 10.109 * [taylor]: Taking taylor expansion of p in p 10.109 * [backup-simplify]: Simplify 0 into 0 10.109 * [backup-simplify]: Simplify 1 into 1 10.110 * [backup-simplify]: Simplify (* 1 1) into 1 10.110 * [backup-simplify]: Simplify (/ 1 1) into 1 10.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 10.110 * [taylor]: Taking taylor expansion of (pow x 2) in p 10.110 * [taylor]: Taking taylor expansion of x in p 10.110 * [backup-simplify]: Simplify x into x 10.110 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.110 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 10.111 * [backup-simplify]: Simplify (* 4 1) into 4 10.111 * [backup-simplify]: Simplify (+ 4 0) into 4 10.112 * [backup-simplify]: Simplify (sqrt 4) into 2 10.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.114 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 10.115 * [backup-simplify]: Simplify (+ 0 0) into 0 10.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 10.115 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 10.115 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 10.115 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 10.115 * [taylor]: Taking taylor expansion of 4 in x 10.115 * [backup-simplify]: Simplify 4 into 4 10.115 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 10.115 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.115 * [taylor]: Taking taylor expansion of p in x 10.116 * [backup-simplify]: Simplify p into p 10.116 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.116 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 10.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.116 * [taylor]: Taking taylor expansion of x in x 10.116 * [backup-simplify]: Simplify 0 into 0 10.116 * [backup-simplify]: Simplify 1 into 1 10.116 * [backup-simplify]: Simplify (* 1 1) into 1 10.117 * [backup-simplify]: Simplify (/ 1 1) into 1 10.117 * [backup-simplify]: Simplify (+ 0 1) into 1 10.118 * [backup-simplify]: Simplify (sqrt 1) into 1 10.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.120 * [backup-simplify]: Simplify (+ 0 0) into 0 10.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.121 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 10.121 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 10.121 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 10.121 * [taylor]: Taking taylor expansion of 4 in x 10.121 * [backup-simplify]: Simplify 4 into 4 10.121 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 10.121 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.121 * [taylor]: Taking taylor expansion of p in x 10.121 * [backup-simplify]: Simplify p into p 10.121 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.121 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 10.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.121 * [taylor]: Taking taylor expansion of x in x 10.121 * [backup-simplify]: Simplify 0 into 0 10.121 * [backup-simplify]: Simplify 1 into 1 10.122 * [backup-simplify]: Simplify (* 1 1) into 1 10.122 * [backup-simplify]: Simplify (/ 1 1) into 1 10.122 * [backup-simplify]: Simplify (+ 0 1) into 1 10.123 * [backup-simplify]: Simplify (sqrt 1) into 1 10.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.125 * [backup-simplify]: Simplify (+ 0 0) into 0 10.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.125 * [taylor]: Taking taylor expansion of 1 in p 10.125 * [backup-simplify]: Simplify 1 into 1 10.125 * [taylor]: Taking taylor expansion of 0 in p 10.126 * [backup-simplify]: Simplify 0 into 0 10.126 * [backup-simplify]: Simplify 1 into 1 10.126 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 10.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.128 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 10.129 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 10.129 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 10.129 * [taylor]: Taking taylor expansion of 2 in p 10.129 * [backup-simplify]: Simplify 2 into 2 10.129 * [taylor]: Taking taylor expansion of (pow p 2) in p 10.129 * [taylor]: Taking taylor expansion of p in p 10.129 * [backup-simplify]: Simplify 0 into 0 10.129 * [backup-simplify]: Simplify 1 into 1 10.129 * [backup-simplify]: Simplify (* 1 1) into 1 10.130 * [backup-simplify]: Simplify (/ 2 1) into 2 10.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 10.131 * [backup-simplify]: Simplify 0 into 0 10.131 * [backup-simplify]: Simplify 0 into 0 10.131 * [backup-simplify]: Simplify 0 into 0 10.132 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 10.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 10.132 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 10.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.135 * [backup-simplify]: Simplify (+ 0 0) into 0 10.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 10.135 * [taylor]: Taking taylor expansion of 0 in p 10.135 * [backup-simplify]: Simplify 0 into 0 10.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.137 * [backup-simplify]: Simplify 0 into 0 10.137 * [backup-simplify]: Simplify 0 into 0 10.137 * [backup-simplify]: Simplify 0 into 0 10.138 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 10.138 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 10.138 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 10.138 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 10.138 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 10.138 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 10.138 * [taylor]: Taking taylor expansion of 4 in p 10.138 * [backup-simplify]: Simplify 4 into 4 10.138 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 10.138 * [taylor]: Taking taylor expansion of (pow p 2) in p 10.138 * [taylor]: Taking taylor expansion of p in p 10.138 * [backup-simplify]: Simplify 0 into 0 10.138 * [backup-simplify]: Simplify 1 into 1 10.139 * [backup-simplify]: Simplify (* 1 1) into 1 10.139 * [backup-simplify]: Simplify (/ 1 1) into 1 10.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 10.139 * [taylor]: Taking taylor expansion of (pow x 2) in p 10.139 * [taylor]: Taking taylor expansion of x in p 10.139 * [backup-simplify]: Simplify x into x 10.140 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.140 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 10.140 * [backup-simplify]: Simplify (* 4 1) into 4 10.141 * [backup-simplify]: Simplify (+ 4 0) into 4 10.141 * [backup-simplify]: Simplify (sqrt 4) into 2 10.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.143 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 10.144 * [backup-simplify]: Simplify (+ 0 0) into 0 10.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 10.144 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 10.145 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 10.145 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 10.145 * [taylor]: Taking taylor expansion of 4 in x 10.145 * [backup-simplify]: Simplify 4 into 4 10.145 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 10.145 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.145 * [taylor]: Taking taylor expansion of p in x 10.145 * [backup-simplify]: Simplify p into p 10.145 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.145 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 10.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.145 * [taylor]: Taking taylor expansion of x in x 10.145 * [backup-simplify]: Simplify 0 into 0 10.145 * [backup-simplify]: Simplify 1 into 1 10.146 * [backup-simplify]: Simplify (* 1 1) into 1 10.146 * [backup-simplify]: Simplify (/ 1 1) into 1 10.146 * [backup-simplify]: Simplify (+ 0 1) into 1 10.147 * [backup-simplify]: Simplify (sqrt 1) into 1 10.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.149 * [backup-simplify]: Simplify (+ 0 0) into 0 10.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.149 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 10.149 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 10.149 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 10.149 * [taylor]: Taking taylor expansion of 4 in x 10.149 * [backup-simplify]: Simplify 4 into 4 10.149 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 10.150 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.150 * [taylor]: Taking taylor expansion of p in x 10.150 * [backup-simplify]: Simplify p into p 10.150 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.150 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 10.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.150 * [taylor]: Taking taylor expansion of x in x 10.150 * [backup-simplify]: Simplify 0 into 0 10.150 * [backup-simplify]: Simplify 1 into 1 10.150 * [backup-simplify]: Simplify (* 1 1) into 1 10.151 * [backup-simplify]: Simplify (/ 1 1) into 1 10.151 * [backup-simplify]: Simplify (+ 0 1) into 1 10.151 * [backup-simplify]: Simplify (sqrt 1) into 1 10.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.153 * [backup-simplify]: Simplify (+ 0 0) into 0 10.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.154 * [taylor]: Taking taylor expansion of 1 in p 10.154 * [backup-simplify]: Simplify 1 into 1 10.154 * [taylor]: Taking taylor expansion of 0 in p 10.154 * [backup-simplify]: Simplify 0 into 0 10.154 * [backup-simplify]: Simplify 1 into 1 10.154 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 10.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.157 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 10.158 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 10.158 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 10.158 * [taylor]: Taking taylor expansion of 2 in p 10.158 * [backup-simplify]: Simplify 2 into 2 10.158 * [taylor]: Taking taylor expansion of (pow p 2) in p 10.158 * [taylor]: Taking taylor expansion of p in p 10.158 * [backup-simplify]: Simplify 0 into 0 10.158 * [backup-simplify]: Simplify 1 into 1 10.159 * [backup-simplify]: Simplify (* 1 1) into 1 10.159 * [backup-simplify]: Simplify (/ 2 1) into 2 10.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 10.161 * [backup-simplify]: Simplify 0 into 0 10.161 * [backup-simplify]: Simplify 0 into 0 10.161 * [backup-simplify]: Simplify 0 into 0 10.161 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 10.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 10.162 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 10.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.164 * [backup-simplify]: Simplify (+ 0 0) into 0 10.165 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 10.165 * [taylor]: Taking taylor expansion of 0 in p 10.165 * [backup-simplify]: Simplify 0 into 0 10.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.167 * [backup-simplify]: Simplify 0 into 0 10.167 * [backup-simplify]: Simplify 0 into 0 10.167 * [backup-simplify]: Simplify 0 into 0 10.167 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 10.168 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 2 2) 10.168 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p p) 4))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 10.168 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 10.168 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 10.168 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 10.168 * [taylor]: Taking taylor expansion of (pow x 2) in p 10.168 * [taylor]: Taking taylor expansion of x in p 10.168 * [backup-simplify]: Simplify x into x 10.168 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 10.168 * [taylor]: Taking taylor expansion of 4 in p 10.168 * [backup-simplify]: Simplify 4 into 4 10.168 * [taylor]: Taking taylor expansion of (pow p 2) in p 10.168 * [taylor]: Taking taylor expansion of p in p 10.168 * [backup-simplify]: Simplify 0 into 0 10.168 * [backup-simplify]: Simplify 1 into 1 10.168 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.168 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 10.168 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 10.169 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 10.169 * [backup-simplify]: Simplify (+ 0 0) into 0 10.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 10.169 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 10.169 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 10.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.169 * [taylor]: Taking taylor expansion of x in x 10.169 * [backup-simplify]: Simplify 0 into 0 10.169 * [backup-simplify]: Simplify 1 into 1 10.169 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 10.169 * [taylor]: Taking taylor expansion of 4 in x 10.169 * [backup-simplify]: Simplify 4 into 4 10.169 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.170 * [taylor]: Taking taylor expansion of p in x 10.170 * [backup-simplify]: Simplify p into p 10.170 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.170 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 10.170 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 10.170 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 10.170 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 10.171 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 10.171 * [backup-simplify]: Simplify (+ 0 0) into 0 10.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 10.171 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 10.171 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 10.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.171 * [taylor]: Taking taylor expansion of x in x 10.171 * [backup-simplify]: Simplify 0 into 0 10.171 * [backup-simplify]: Simplify 1 into 1 10.171 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 10.171 * [taylor]: Taking taylor expansion of 4 in x 10.172 * [backup-simplify]: Simplify 4 into 4 10.172 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.172 * [taylor]: Taking taylor expansion of p in x 10.172 * [backup-simplify]: Simplify p into p 10.172 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.172 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 10.172 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 10.172 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 10.172 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 10.173 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 10.173 * [backup-simplify]: Simplify (+ 0 0) into 0 10.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 10.174 * [taylor]: Taking taylor expansion of (* 2 p) in p 10.174 * [taylor]: Taking taylor expansion of 2 in p 10.174 * [backup-simplify]: Simplify 2 into 2 10.174 * [taylor]: Taking taylor expansion of p in p 10.174 * [backup-simplify]: Simplify 0 into 0 10.174 * [backup-simplify]: Simplify 1 into 1 10.174 * [backup-simplify]: Simplify (* 2 0) into 0 10.174 * [backup-simplify]: Simplify 0 into 0 10.174 * [taylor]: Taking taylor expansion of 0 in p 10.174 * [backup-simplify]: Simplify 0 into 0 10.174 * [backup-simplify]: Simplify 0 into 0 10.175 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 10.175 * [backup-simplify]: Simplify 2 into 2 10.176 * [backup-simplify]: Simplify (* 1 1) into 1 10.176 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 10.177 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 10.178 * [backup-simplify]: Simplify (+ 1 0) into 1 10.178 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 10.178 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 10.178 * [taylor]: Taking taylor expansion of 1/4 in p 10.178 * [backup-simplify]: Simplify 1/4 into 1/4 10.179 * [taylor]: Taking taylor expansion of p in p 10.179 * [backup-simplify]: Simplify 0 into 0 10.179 * [backup-simplify]: Simplify 1 into 1 10.179 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 10.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 10.180 * [backup-simplify]: Simplify 0 into 0 10.180 * [backup-simplify]: Simplify 0 into 0 10.181 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 10.181 * [backup-simplify]: Simplify 0 into 0 10.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.183 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 10.184 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 10.185 * [backup-simplify]: Simplify (+ 0 0) into 0 10.185 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 10.185 * [taylor]: Taking taylor expansion of 0 in p 10.185 * [backup-simplify]: Simplify 0 into 0 10.185 * [backup-simplify]: Simplify 0 into 0 10.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.186 * [backup-simplify]: Simplify 0 into 0 10.186 * [backup-simplify]: Simplify 0 into 0 10.186 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 10.186 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 10.187 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 10.187 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 10.187 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 10.187 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 10.187 * [taylor]: Taking taylor expansion of 4 in p 10.187 * [backup-simplify]: Simplify 4 into 4 10.187 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 10.187 * [taylor]: Taking taylor expansion of (pow p 2) in p 10.187 * [taylor]: Taking taylor expansion of p in p 10.187 * [backup-simplify]: Simplify 0 into 0 10.187 * [backup-simplify]: Simplify 1 into 1 10.187 * [backup-simplify]: Simplify (* 1 1) into 1 10.188 * [backup-simplify]: Simplify (/ 1 1) into 1 10.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 10.188 * [taylor]: Taking taylor expansion of (pow x 2) in p 10.188 * [taylor]: Taking taylor expansion of x in p 10.188 * [backup-simplify]: Simplify x into x 10.188 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.188 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 10.189 * [backup-simplify]: Simplify (* 4 1) into 4 10.189 * [backup-simplify]: Simplify (+ 4 0) into 4 10.190 * [backup-simplify]: Simplify (sqrt 4) into 2 10.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.192 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 10.192 * [backup-simplify]: Simplify (+ 0 0) into 0 10.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 10.193 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 10.193 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 10.193 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 10.193 * [taylor]: Taking taylor expansion of 4 in x 10.193 * [backup-simplify]: Simplify 4 into 4 10.193 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 10.193 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.193 * [taylor]: Taking taylor expansion of p in x 10.193 * [backup-simplify]: Simplify p into p 10.193 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.193 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 10.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.193 * [taylor]: Taking taylor expansion of x in x 10.194 * [backup-simplify]: Simplify 0 into 0 10.194 * [backup-simplify]: Simplify 1 into 1 10.194 * [backup-simplify]: Simplify (* 1 1) into 1 10.194 * [backup-simplify]: Simplify (/ 1 1) into 1 10.194 * [backup-simplify]: Simplify (+ 0 1) into 1 10.195 * [backup-simplify]: Simplify (sqrt 1) into 1 10.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.196 * [backup-simplify]: Simplify (+ 0 0) into 0 10.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.196 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 10.196 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 10.196 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 10.196 * [taylor]: Taking taylor expansion of 4 in x 10.196 * [backup-simplify]: Simplify 4 into 4 10.196 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 10.196 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.196 * [taylor]: Taking taylor expansion of p in x 10.196 * [backup-simplify]: Simplify p into p 10.196 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.196 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 10.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.196 * [taylor]: Taking taylor expansion of x in x 10.196 * [backup-simplify]: Simplify 0 into 0 10.196 * [backup-simplify]: Simplify 1 into 1 10.197 * [backup-simplify]: Simplify (* 1 1) into 1 10.197 * [backup-simplify]: Simplify (/ 1 1) into 1 10.197 * [backup-simplify]: Simplify (+ 0 1) into 1 10.197 * [backup-simplify]: Simplify (sqrt 1) into 1 10.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.198 * [backup-simplify]: Simplify (+ 0 0) into 0 10.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.199 * [taylor]: Taking taylor expansion of 1 in p 10.199 * [backup-simplify]: Simplify 1 into 1 10.199 * [taylor]: Taking taylor expansion of 0 in p 10.199 * [backup-simplify]: Simplify 0 into 0 10.199 * [backup-simplify]: Simplify 1 into 1 10.199 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 10.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.200 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 10.201 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 10.201 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 10.201 * [taylor]: Taking taylor expansion of 2 in p 10.201 * [backup-simplify]: Simplify 2 into 2 10.201 * [taylor]: Taking taylor expansion of (pow p 2) in p 10.201 * [taylor]: Taking taylor expansion of p in p 10.201 * [backup-simplify]: Simplify 0 into 0 10.201 * [backup-simplify]: Simplify 1 into 1 10.202 * [backup-simplify]: Simplify (* 1 1) into 1 10.202 * [backup-simplify]: Simplify (/ 2 1) into 2 10.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 10.203 * [backup-simplify]: Simplify 0 into 0 10.203 * [backup-simplify]: Simplify 0 into 0 10.203 * [backup-simplify]: Simplify 0 into 0 10.203 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 10.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 10.203 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 10.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.205 * [backup-simplify]: Simplify (+ 0 0) into 0 10.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 10.206 * [taylor]: Taking taylor expansion of 0 in p 10.206 * [backup-simplify]: Simplify 0 into 0 10.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.207 * [backup-simplify]: Simplify 0 into 0 10.207 * [backup-simplify]: Simplify 0 into 0 10.207 * [backup-simplify]: Simplify 0 into 0 10.207 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 10.207 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 10.207 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 10.207 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 10.207 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 10.207 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 10.207 * [taylor]: Taking taylor expansion of 4 in p 10.207 * [backup-simplify]: Simplify 4 into 4 10.207 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 10.207 * [taylor]: Taking taylor expansion of (pow p 2) in p 10.207 * [taylor]: Taking taylor expansion of p in p 10.207 * [backup-simplify]: Simplify 0 into 0 10.207 * [backup-simplify]: Simplify 1 into 1 10.208 * [backup-simplify]: Simplify (* 1 1) into 1 10.208 * [backup-simplify]: Simplify (/ 1 1) into 1 10.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 10.208 * [taylor]: Taking taylor expansion of (pow x 2) in p 10.208 * [taylor]: Taking taylor expansion of x in p 10.208 * [backup-simplify]: Simplify x into x 10.208 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.208 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 10.208 * [backup-simplify]: Simplify (* 4 1) into 4 10.209 * [backup-simplify]: Simplify (+ 4 0) into 4 10.209 * [backup-simplify]: Simplify (sqrt 4) into 2 10.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.210 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 10.210 * [backup-simplify]: Simplify (+ 0 0) into 0 10.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 10.211 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 10.211 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 10.211 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 10.211 * [taylor]: Taking taylor expansion of 4 in x 10.211 * [backup-simplify]: Simplify 4 into 4 10.211 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 10.211 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.211 * [taylor]: Taking taylor expansion of p in x 10.211 * [backup-simplify]: Simplify p into p 10.211 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.211 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 10.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.211 * [taylor]: Taking taylor expansion of x in x 10.211 * [backup-simplify]: Simplify 0 into 0 10.211 * [backup-simplify]: Simplify 1 into 1 10.212 * [backup-simplify]: Simplify (* 1 1) into 1 10.212 * [backup-simplify]: Simplify (/ 1 1) into 1 10.212 * [backup-simplify]: Simplify (+ 0 1) into 1 10.212 * [backup-simplify]: Simplify (sqrt 1) into 1 10.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.213 * [backup-simplify]: Simplify (+ 0 0) into 0 10.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.214 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 10.214 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 10.214 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 10.214 * [taylor]: Taking taylor expansion of 4 in x 10.214 * [backup-simplify]: Simplify 4 into 4 10.214 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 10.214 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.214 * [taylor]: Taking taylor expansion of p in x 10.214 * [backup-simplify]: Simplify p into p 10.214 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.214 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 10.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.214 * [taylor]: Taking taylor expansion of x in x 10.214 * [backup-simplify]: Simplify 0 into 0 10.214 * [backup-simplify]: Simplify 1 into 1 10.215 * [backup-simplify]: Simplify (* 1 1) into 1 10.215 * [backup-simplify]: Simplify (/ 1 1) into 1 10.215 * [backup-simplify]: Simplify (+ 0 1) into 1 10.215 * [backup-simplify]: Simplify (sqrt 1) into 1 10.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.216 * [backup-simplify]: Simplify (+ 0 0) into 0 10.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.217 * [taylor]: Taking taylor expansion of 1 in p 10.217 * [backup-simplify]: Simplify 1 into 1 10.217 * [taylor]: Taking taylor expansion of 0 in p 10.217 * [backup-simplify]: Simplify 0 into 0 10.217 * [backup-simplify]: Simplify 1 into 1 10.217 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 10.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.219 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 10.219 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 10.219 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 10.219 * [taylor]: Taking taylor expansion of 2 in p 10.219 * [backup-simplify]: Simplify 2 into 2 10.219 * [taylor]: Taking taylor expansion of (pow p 2) in p 10.220 * [taylor]: Taking taylor expansion of p in p 10.220 * [backup-simplify]: Simplify 0 into 0 10.220 * [backup-simplify]: Simplify 1 into 1 10.220 * [backup-simplify]: Simplify (* 1 1) into 1 10.222 * [backup-simplify]: Simplify (/ 2 1) into 2 10.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 10.224 * [backup-simplify]: Simplify 0 into 0 10.224 * [backup-simplify]: Simplify 0 into 0 10.224 * [backup-simplify]: Simplify 0 into 0 10.225 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 10.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 10.225 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 10.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.228 * [backup-simplify]: Simplify (+ 0 0) into 0 10.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 10.228 * [taylor]: Taking taylor expansion of 0 in p 10.229 * [backup-simplify]: Simplify 0 into 0 10.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.231 * [backup-simplify]: Simplify 0 into 0 10.231 * [backup-simplify]: Simplify 0 into 0 10.231 * [backup-simplify]: Simplify 0 into 0 10.231 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 10.231 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2) 10.231 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p p) 4))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 10.231 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 10.231 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 10.231 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 10.231 * [taylor]: Taking taylor expansion of (pow x 2) in p 10.231 * [taylor]: Taking taylor expansion of x in p 10.231 * [backup-simplify]: Simplify x into x 10.231 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 10.231 * [taylor]: Taking taylor expansion of 4 in p 10.231 * [backup-simplify]: Simplify 4 into 4 10.231 * [taylor]: Taking taylor expansion of (pow p 2) in p 10.231 * [taylor]: Taking taylor expansion of p in p 10.232 * [backup-simplify]: Simplify 0 into 0 10.232 * [backup-simplify]: Simplify 1 into 1 10.232 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.232 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 10.232 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 10.232 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 10.232 * [backup-simplify]: Simplify (+ 0 0) into 0 10.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 10.233 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 10.233 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 10.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.233 * [taylor]: Taking taylor expansion of x in x 10.233 * [backup-simplify]: Simplify 0 into 0 10.233 * [backup-simplify]: Simplify 1 into 1 10.233 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 10.233 * [taylor]: Taking taylor expansion of 4 in x 10.233 * [backup-simplify]: Simplify 4 into 4 10.233 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.233 * [taylor]: Taking taylor expansion of p in x 10.233 * [backup-simplify]: Simplify p into p 10.233 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.233 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 10.233 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 10.233 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 10.233 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 10.234 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 10.234 * [backup-simplify]: Simplify (+ 0 0) into 0 10.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 10.235 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 10.235 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 10.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.235 * [taylor]: Taking taylor expansion of x in x 10.235 * [backup-simplify]: Simplify 0 into 0 10.235 * [backup-simplify]: Simplify 1 into 1 10.235 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 10.235 * [taylor]: Taking taylor expansion of 4 in x 10.235 * [backup-simplify]: Simplify 4 into 4 10.235 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.235 * [taylor]: Taking taylor expansion of p in x 10.235 * [backup-simplify]: Simplify p into p 10.235 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.235 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 10.235 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 10.235 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 10.235 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 10.236 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 10.236 * [backup-simplify]: Simplify (+ 0 0) into 0 10.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 10.237 * [taylor]: Taking taylor expansion of (* 2 p) in p 10.237 * [taylor]: Taking taylor expansion of 2 in p 10.237 * [backup-simplify]: Simplify 2 into 2 10.237 * [taylor]: Taking taylor expansion of p in p 10.237 * [backup-simplify]: Simplify 0 into 0 10.237 * [backup-simplify]: Simplify 1 into 1 10.237 * [backup-simplify]: Simplify (* 2 0) into 0 10.237 * [backup-simplify]: Simplify 0 into 0 10.237 * [taylor]: Taking taylor expansion of 0 in p 10.237 * [backup-simplify]: Simplify 0 into 0 10.237 * [backup-simplify]: Simplify 0 into 0 10.238 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 10.238 * [backup-simplify]: Simplify 2 into 2 10.239 * [backup-simplify]: Simplify (* 1 1) into 1 10.239 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 10.240 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 10.240 * [backup-simplify]: Simplify (+ 1 0) into 1 10.241 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 10.241 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 10.241 * [taylor]: Taking taylor expansion of 1/4 in p 10.241 * [backup-simplify]: Simplify 1/4 into 1/4 10.241 * [taylor]: Taking taylor expansion of p in p 10.241 * [backup-simplify]: Simplify 0 into 0 10.241 * [backup-simplify]: Simplify 1 into 1 10.242 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 10.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 10.243 * [backup-simplify]: Simplify 0 into 0 10.243 * [backup-simplify]: Simplify 0 into 0 10.244 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 10.244 * [backup-simplify]: Simplify 0 into 0 10.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.245 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 10.246 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 10.246 * [backup-simplify]: Simplify (+ 0 0) into 0 10.246 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 10.246 * [taylor]: Taking taylor expansion of 0 in p 10.247 * [backup-simplify]: Simplify 0 into 0 10.247 * [backup-simplify]: Simplify 0 into 0 10.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.247 * [backup-simplify]: Simplify 0 into 0 10.247 * [backup-simplify]: Simplify 0 into 0 10.247 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 10.247 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 10.247 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 10.247 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 10.248 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 10.248 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 10.248 * [taylor]: Taking taylor expansion of 4 in p 10.248 * [backup-simplify]: Simplify 4 into 4 10.248 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 10.248 * [taylor]: Taking taylor expansion of (pow p 2) in p 10.248 * [taylor]: Taking taylor expansion of p in p 10.248 * [backup-simplify]: Simplify 0 into 0 10.248 * [backup-simplify]: Simplify 1 into 1 10.248 * [backup-simplify]: Simplify (* 1 1) into 1 10.248 * [backup-simplify]: Simplify (/ 1 1) into 1 10.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 10.248 * [taylor]: Taking taylor expansion of (pow x 2) in p 10.248 * [taylor]: Taking taylor expansion of x in p 10.248 * [backup-simplify]: Simplify x into x 10.248 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.248 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 10.249 * [backup-simplify]: Simplify (* 4 1) into 4 10.249 * [backup-simplify]: Simplify (+ 4 0) into 4 10.249 * [backup-simplify]: Simplify (sqrt 4) into 2 10.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.250 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 10.251 * [backup-simplify]: Simplify (+ 0 0) into 0 10.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 10.251 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 10.251 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 10.251 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 10.251 * [taylor]: Taking taylor expansion of 4 in x 10.251 * [backup-simplify]: Simplify 4 into 4 10.251 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 10.251 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.251 * [taylor]: Taking taylor expansion of p in x 10.251 * [backup-simplify]: Simplify p into p 10.251 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.251 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 10.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.251 * [taylor]: Taking taylor expansion of x in x 10.251 * [backup-simplify]: Simplify 0 into 0 10.251 * [backup-simplify]: Simplify 1 into 1 10.252 * [backup-simplify]: Simplify (* 1 1) into 1 10.252 * [backup-simplify]: Simplify (/ 1 1) into 1 10.252 * [backup-simplify]: Simplify (+ 0 1) into 1 10.252 * [backup-simplify]: Simplify (sqrt 1) into 1 10.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.253 * [backup-simplify]: Simplify (+ 0 0) into 0 10.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.254 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 10.254 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 10.254 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 10.254 * [taylor]: Taking taylor expansion of 4 in x 10.254 * [backup-simplify]: Simplify 4 into 4 10.254 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 10.254 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.254 * [taylor]: Taking taylor expansion of p in x 10.254 * [backup-simplify]: Simplify p into p 10.254 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.254 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 10.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.254 * [taylor]: Taking taylor expansion of x in x 10.254 * [backup-simplify]: Simplify 0 into 0 10.254 * [backup-simplify]: Simplify 1 into 1 10.255 * [backup-simplify]: Simplify (* 1 1) into 1 10.255 * [backup-simplify]: Simplify (/ 1 1) into 1 10.255 * [backup-simplify]: Simplify (+ 0 1) into 1 10.255 * [backup-simplify]: Simplify (sqrt 1) into 1 10.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.256 * [backup-simplify]: Simplify (+ 0 0) into 0 10.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.257 * [taylor]: Taking taylor expansion of 1 in p 10.257 * [backup-simplify]: Simplify 1 into 1 10.257 * [taylor]: Taking taylor expansion of 0 in p 10.257 * [backup-simplify]: Simplify 0 into 0 10.257 * [backup-simplify]: Simplify 1 into 1 10.257 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 10.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.258 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 10.259 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 10.259 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 10.259 * [taylor]: Taking taylor expansion of 2 in p 10.259 * [backup-simplify]: Simplify 2 into 2 10.259 * [taylor]: Taking taylor expansion of (pow p 2) in p 10.259 * [taylor]: Taking taylor expansion of p in p 10.259 * [backup-simplify]: Simplify 0 into 0 10.259 * [backup-simplify]: Simplify 1 into 1 10.259 * [backup-simplify]: Simplify (* 1 1) into 1 10.260 * [backup-simplify]: Simplify (/ 2 1) into 2 10.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 10.261 * [backup-simplify]: Simplify 0 into 0 10.261 * [backup-simplify]: Simplify 0 into 0 10.261 * [backup-simplify]: Simplify 0 into 0 10.261 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 10.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 10.261 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 10.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.263 * [backup-simplify]: Simplify (+ 0 0) into 0 10.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 10.263 * [taylor]: Taking taylor expansion of 0 in p 10.263 * [backup-simplify]: Simplify 0 into 0 10.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.264 * [backup-simplify]: Simplify 0 into 0 10.264 * [backup-simplify]: Simplify 0 into 0 10.264 * [backup-simplify]: Simplify 0 into 0 10.264 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 10.265 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 10.265 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 10.265 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 10.265 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 10.265 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 10.265 * [taylor]: Taking taylor expansion of 4 in p 10.265 * [backup-simplify]: Simplify 4 into 4 10.265 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 10.265 * [taylor]: Taking taylor expansion of (pow p 2) in p 10.265 * [taylor]: Taking taylor expansion of p in p 10.265 * [backup-simplify]: Simplify 0 into 0 10.265 * [backup-simplify]: Simplify 1 into 1 10.265 * [backup-simplify]: Simplify (* 1 1) into 1 10.265 * [backup-simplify]: Simplify (/ 1 1) into 1 10.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 10.265 * [taylor]: Taking taylor expansion of (pow x 2) in p 10.265 * [taylor]: Taking taylor expansion of x in p 10.265 * [backup-simplify]: Simplify x into x 10.266 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.266 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 10.266 * [backup-simplify]: Simplify (* 4 1) into 4 10.266 * [backup-simplify]: Simplify (+ 4 0) into 4 10.266 * [backup-simplify]: Simplify (sqrt 4) into 2 10.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.268 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 10.268 * [backup-simplify]: Simplify (+ 0 0) into 0 10.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 10.269 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 10.269 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 10.269 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 10.269 * [taylor]: Taking taylor expansion of 4 in x 10.269 * [backup-simplify]: Simplify 4 into 4 10.269 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 10.269 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.269 * [taylor]: Taking taylor expansion of p in x 10.269 * [backup-simplify]: Simplify p into p 10.269 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.269 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 10.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.269 * [taylor]: Taking taylor expansion of x in x 10.269 * [backup-simplify]: Simplify 0 into 0 10.269 * [backup-simplify]: Simplify 1 into 1 10.269 * [backup-simplify]: Simplify (* 1 1) into 1 10.270 * [backup-simplify]: Simplify (/ 1 1) into 1 10.270 * [backup-simplify]: Simplify (+ 0 1) into 1 10.270 * [backup-simplify]: Simplify (sqrt 1) into 1 10.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.271 * [backup-simplify]: Simplify (+ 0 0) into 0 10.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.272 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 10.272 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 10.272 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 10.272 * [taylor]: Taking taylor expansion of 4 in x 10.272 * [backup-simplify]: Simplify 4 into 4 10.272 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 10.272 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.272 * [taylor]: Taking taylor expansion of p in x 10.272 * [backup-simplify]: Simplify p into p 10.272 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.272 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 10.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.272 * [taylor]: Taking taylor expansion of x in x 10.272 * [backup-simplify]: Simplify 0 into 0 10.272 * [backup-simplify]: Simplify 1 into 1 10.272 * [backup-simplify]: Simplify (* 1 1) into 1 10.272 * [backup-simplify]: Simplify (/ 1 1) into 1 10.273 * [backup-simplify]: Simplify (+ 0 1) into 1 10.273 * [backup-simplify]: Simplify (sqrt 1) into 1 10.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.274 * [backup-simplify]: Simplify (+ 0 0) into 0 10.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.275 * [taylor]: Taking taylor expansion of 1 in p 10.275 * [backup-simplify]: Simplify 1 into 1 10.275 * [taylor]: Taking taylor expansion of 0 in p 10.275 * [backup-simplify]: Simplify 0 into 0 10.275 * [backup-simplify]: Simplify 1 into 1 10.275 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 10.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.276 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 10.277 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 10.277 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 10.277 * [taylor]: Taking taylor expansion of 2 in p 10.277 * [backup-simplify]: Simplify 2 into 2 10.277 * [taylor]: Taking taylor expansion of (pow p 2) in p 10.277 * [taylor]: Taking taylor expansion of p in p 10.277 * [backup-simplify]: Simplify 0 into 0 10.277 * [backup-simplify]: Simplify 1 into 1 10.277 * [backup-simplify]: Simplify (* 1 1) into 1 10.278 * [backup-simplify]: Simplify (/ 2 1) into 2 10.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 10.279 * [backup-simplify]: Simplify 0 into 0 10.279 * [backup-simplify]: Simplify 0 into 0 10.279 * [backup-simplify]: Simplify 0 into 0 10.279 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 10.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 10.280 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 10.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.283 * [backup-simplify]: Simplify (+ 0 0) into 0 10.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 10.283 * [taylor]: Taking taylor expansion of 0 in p 10.283 * [backup-simplify]: Simplify 0 into 0 10.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.285 * [backup-simplify]: Simplify 0 into 0 10.286 * [backup-simplify]: Simplify 0 into 0 10.286 * [backup-simplify]: Simplify 0 into 0 10.286 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 10.286 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 2 2 2) 10.286 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p p) 4))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 10.286 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 10.286 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 10.286 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 10.286 * [taylor]: Taking taylor expansion of (pow x 2) in p 10.286 * [taylor]: Taking taylor expansion of x in p 10.286 * [backup-simplify]: Simplify x into x 10.286 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 10.286 * [taylor]: Taking taylor expansion of 4 in p 10.286 * [backup-simplify]: Simplify 4 into 4 10.286 * [taylor]: Taking taylor expansion of (pow p 2) in p 10.286 * [taylor]: Taking taylor expansion of p in p 10.286 * [backup-simplify]: Simplify 0 into 0 10.286 * [backup-simplify]: Simplify 1 into 1 10.286 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.286 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 10.286 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 10.286 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 10.287 * [backup-simplify]: Simplify (+ 0 0) into 0 10.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 10.287 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 10.287 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 10.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.287 * [taylor]: Taking taylor expansion of x in x 10.287 * [backup-simplify]: Simplify 0 into 0 10.287 * [backup-simplify]: Simplify 1 into 1 10.287 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 10.287 * [taylor]: Taking taylor expansion of 4 in x 10.287 * [backup-simplify]: Simplify 4 into 4 10.287 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.287 * [taylor]: Taking taylor expansion of p in x 10.287 * [backup-simplify]: Simplify p into p 10.287 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.287 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 10.287 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 10.287 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 10.287 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 10.288 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 10.288 * [backup-simplify]: Simplify (+ 0 0) into 0 10.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 10.288 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 10.288 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 10.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.288 * [taylor]: Taking taylor expansion of x in x 10.288 * [backup-simplify]: Simplify 0 into 0 10.288 * [backup-simplify]: Simplify 1 into 1 10.288 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 10.288 * [taylor]: Taking taylor expansion of 4 in x 10.288 * [backup-simplify]: Simplify 4 into 4 10.288 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.288 * [taylor]: Taking taylor expansion of p in x 10.288 * [backup-simplify]: Simplify p into p 10.288 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.288 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 10.288 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 10.288 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 10.288 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 10.289 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 10.289 * [backup-simplify]: Simplify (+ 0 0) into 0 10.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 10.289 * [taylor]: Taking taylor expansion of (* 2 p) in p 10.289 * [taylor]: Taking taylor expansion of 2 in p 10.289 * [backup-simplify]: Simplify 2 into 2 10.289 * [taylor]: Taking taylor expansion of p in p 10.289 * [backup-simplify]: Simplify 0 into 0 10.289 * [backup-simplify]: Simplify 1 into 1 10.290 * [backup-simplify]: Simplify (* 2 0) into 0 10.290 * [backup-simplify]: Simplify 0 into 0 10.290 * [taylor]: Taking taylor expansion of 0 in p 10.290 * [backup-simplify]: Simplify 0 into 0 10.290 * [backup-simplify]: Simplify 0 into 0 10.290 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 10.290 * [backup-simplify]: Simplify 2 into 2 10.290 * [backup-simplify]: Simplify (* 1 1) into 1 10.291 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 10.291 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 10.292 * [backup-simplify]: Simplify (+ 1 0) into 1 10.292 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 10.292 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 10.292 * [taylor]: Taking taylor expansion of 1/4 in p 10.292 * [backup-simplify]: Simplify 1/4 into 1/4 10.292 * [taylor]: Taking taylor expansion of p in p 10.292 * [backup-simplify]: Simplify 0 into 0 10.292 * [backup-simplify]: Simplify 1 into 1 10.293 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 10.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 10.293 * [backup-simplify]: Simplify 0 into 0 10.293 * [backup-simplify]: Simplify 0 into 0 10.294 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.295 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 10.296 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 10.296 * [backup-simplify]: Simplify (+ 0 0) into 0 10.296 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 10.296 * [taylor]: Taking taylor expansion of 0 in p 10.296 * [backup-simplify]: Simplify 0 into 0 10.296 * [backup-simplify]: Simplify 0 into 0 10.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.297 * [backup-simplify]: Simplify 0 into 0 10.297 * [backup-simplify]: Simplify 0 into 0 10.297 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 10.297 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 10.297 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 10.297 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 10.297 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 10.297 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 10.297 * [taylor]: Taking taylor expansion of 4 in p 10.297 * [backup-simplify]: Simplify 4 into 4 10.297 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 10.297 * [taylor]: Taking taylor expansion of (pow p 2) in p 10.297 * [taylor]: Taking taylor expansion of p in p 10.297 * [backup-simplify]: Simplify 0 into 0 10.297 * [backup-simplify]: Simplify 1 into 1 10.297 * [backup-simplify]: Simplify (* 1 1) into 1 10.298 * [backup-simplify]: Simplify (/ 1 1) into 1 10.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 10.298 * [taylor]: Taking taylor expansion of (pow x 2) in p 10.298 * [taylor]: Taking taylor expansion of x in p 10.298 * [backup-simplify]: Simplify x into x 10.298 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.298 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 10.298 * [backup-simplify]: Simplify (* 4 1) into 4 10.298 * [backup-simplify]: Simplify (+ 4 0) into 4 10.299 * [backup-simplify]: Simplify (sqrt 4) into 2 10.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.300 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 10.300 * [backup-simplify]: Simplify (+ 0 0) into 0 10.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 10.301 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 10.301 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 10.301 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 10.301 * [taylor]: Taking taylor expansion of 4 in x 10.301 * [backup-simplify]: Simplify 4 into 4 10.301 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 10.301 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.301 * [taylor]: Taking taylor expansion of p in x 10.301 * [backup-simplify]: Simplify p into p 10.301 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.301 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 10.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.301 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.301 * [taylor]: Taking taylor expansion of x in x 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [backup-simplify]: Simplify 1 into 1 10.301 * [backup-simplify]: Simplify (* 1 1) into 1 10.302 * [backup-simplify]: Simplify (/ 1 1) into 1 10.302 * [backup-simplify]: Simplify (+ 0 1) into 1 10.302 * [backup-simplify]: Simplify (sqrt 1) into 1 10.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.303 * [backup-simplify]: Simplify (+ 0 0) into 0 10.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.304 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 10.304 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 10.304 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 10.304 * [taylor]: Taking taylor expansion of 4 in x 10.304 * [backup-simplify]: Simplify 4 into 4 10.304 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 10.304 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.304 * [taylor]: Taking taylor expansion of p in x 10.304 * [backup-simplify]: Simplify p into p 10.304 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.304 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 10.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.304 * [taylor]: Taking taylor expansion of x in x 10.304 * [backup-simplify]: Simplify 0 into 0 10.304 * [backup-simplify]: Simplify 1 into 1 10.304 * [backup-simplify]: Simplify (* 1 1) into 1 10.304 * [backup-simplify]: Simplify (/ 1 1) into 1 10.305 * [backup-simplify]: Simplify (+ 0 1) into 1 10.305 * [backup-simplify]: Simplify (sqrt 1) into 1 10.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.306 * [backup-simplify]: Simplify (+ 0 0) into 0 10.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.307 * [taylor]: Taking taylor expansion of 1 in p 10.307 * [backup-simplify]: Simplify 1 into 1 10.307 * [taylor]: Taking taylor expansion of 0 in p 10.307 * [backup-simplify]: Simplify 0 into 0 10.307 * [backup-simplify]: Simplify 1 into 1 10.307 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 10.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.308 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 10.309 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 10.309 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 10.309 * [taylor]: Taking taylor expansion of 2 in p 10.309 * [backup-simplify]: Simplify 2 into 2 10.309 * [taylor]: Taking taylor expansion of (pow p 2) in p 10.309 * [taylor]: Taking taylor expansion of p in p 10.309 * [backup-simplify]: Simplify 0 into 0 10.309 * [backup-simplify]: Simplify 1 into 1 10.309 * [backup-simplify]: Simplify (* 1 1) into 1 10.310 * [backup-simplify]: Simplify (/ 2 1) into 2 10.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 10.310 * [backup-simplify]: Simplify 0 into 0 10.311 * [backup-simplify]: Simplify 0 into 0 10.311 * [backup-simplify]: Simplify 0 into 0 10.311 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 10.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 10.311 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 10.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.312 * [backup-simplify]: Simplify (+ 0 0) into 0 10.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 10.313 * [taylor]: Taking taylor expansion of 0 in p 10.313 * [backup-simplify]: Simplify 0 into 0 10.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.314 * [backup-simplify]: Simplify 0 into 0 10.314 * [backup-simplify]: Simplify 0 into 0 10.314 * [backup-simplify]: Simplify 0 into 0 10.314 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 10.314 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 10.315 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 10.315 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 10.315 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 10.315 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 10.315 * [taylor]: Taking taylor expansion of 4 in p 10.315 * [backup-simplify]: Simplify 4 into 4 10.315 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 10.315 * [taylor]: Taking taylor expansion of (pow p 2) in p 10.315 * [taylor]: Taking taylor expansion of p in p 10.315 * [backup-simplify]: Simplify 0 into 0 10.315 * [backup-simplify]: Simplify 1 into 1 10.315 * [backup-simplify]: Simplify (* 1 1) into 1 10.315 * [backup-simplify]: Simplify (/ 1 1) into 1 10.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 10.315 * [taylor]: Taking taylor expansion of (pow x 2) in p 10.315 * [taylor]: Taking taylor expansion of x in p 10.315 * [backup-simplify]: Simplify x into x 10.315 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.315 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 10.316 * [backup-simplify]: Simplify (* 4 1) into 4 10.316 * [backup-simplify]: Simplify (+ 4 0) into 4 10.316 * [backup-simplify]: Simplify (sqrt 4) into 2 10.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.318 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 10.318 * [backup-simplify]: Simplify (+ 0 0) into 0 10.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 10.318 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 10.318 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 10.318 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 10.318 * [taylor]: Taking taylor expansion of 4 in x 10.318 * [backup-simplify]: Simplify 4 into 4 10.318 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 10.318 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.318 * [taylor]: Taking taylor expansion of p in x 10.318 * [backup-simplify]: Simplify p into p 10.318 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.318 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 10.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.319 * [taylor]: Taking taylor expansion of x in x 10.319 * [backup-simplify]: Simplify 0 into 0 10.319 * [backup-simplify]: Simplify 1 into 1 10.319 * [backup-simplify]: Simplify (* 1 1) into 1 10.319 * [backup-simplify]: Simplify (/ 1 1) into 1 10.319 * [backup-simplify]: Simplify (+ 0 1) into 1 10.320 * [backup-simplify]: Simplify (sqrt 1) into 1 10.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.321 * [backup-simplify]: Simplify (+ 0 0) into 0 10.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.321 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 10.321 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 10.321 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 10.321 * [taylor]: Taking taylor expansion of 4 in x 10.321 * [backup-simplify]: Simplify 4 into 4 10.321 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 10.321 * [taylor]: Taking taylor expansion of (pow p 2) in x 10.321 * [taylor]: Taking taylor expansion of p in x 10.321 * [backup-simplify]: Simplify p into p 10.321 * [backup-simplify]: Simplify (* p p) into (pow p 2) 10.321 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 10.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.321 * [taylor]: Taking taylor expansion of x in x 10.322 * [backup-simplify]: Simplify 0 into 0 10.322 * [backup-simplify]: Simplify 1 into 1 10.322 * [backup-simplify]: Simplify (* 1 1) into 1 10.322 * [backup-simplify]: Simplify (/ 1 1) into 1 10.323 * [backup-simplify]: Simplify (+ 0 1) into 1 10.323 * [backup-simplify]: Simplify (sqrt 1) into 1 10.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.325 * [backup-simplify]: Simplify (+ 0 0) into 0 10.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.326 * [taylor]: Taking taylor expansion of 1 in p 10.326 * [backup-simplify]: Simplify 1 into 1 10.326 * [taylor]: Taking taylor expansion of 0 in p 10.326 * [backup-simplify]: Simplify 0 into 0 10.326 * [backup-simplify]: Simplify 1 into 1 10.327 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 10.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.329 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 10.330 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 10.330 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 10.330 * [taylor]: Taking taylor expansion of 2 in p 10.330 * [backup-simplify]: Simplify 2 into 2 10.330 * [taylor]: Taking taylor expansion of (pow p 2) in p 10.330 * [taylor]: Taking taylor expansion of p in p 10.330 * [backup-simplify]: Simplify 0 into 0 10.330 * [backup-simplify]: Simplify 1 into 1 10.331 * [backup-simplify]: Simplify (* 1 1) into 1 10.333 * [backup-simplify]: Simplify (/ 2 1) into 2 10.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 10.335 * [backup-simplify]: Simplify 0 into 0 10.335 * [backup-simplify]: Simplify 0 into 0 10.335 * [backup-simplify]: Simplify 0 into 0 10.335 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 10.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 10.336 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 10.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.339 * [backup-simplify]: Simplify (+ 0 0) into 0 10.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 10.339 * [taylor]: Taking taylor expansion of 0 in p 10.339 * [backup-simplify]: Simplify 0 into 0 10.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.341 * [backup-simplify]: Simplify 0 into 0 10.341 * [backup-simplify]: Simplify 0 into 0 10.341 * [backup-simplify]: Simplify 0 into 0 10.342 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 10.342 * * * [progress]: simplifying candidates 10.342 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 10.342 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 10.342 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 10.342 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 10.342 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 10.342 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 10.342 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 10.343 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 10.343 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 10.343 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 10.343 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 10.343 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 10.343 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 10.343 * * * * [progress]: [ 14 / 76 ] simplifiying candidate # 10.343 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 10.343 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)) (* 0.5 0.5)))))> 10.343 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 10.344 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 10.344 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 10.344 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 10.344 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 10.344 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 10.344 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 10.344 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 10.344 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 10.344 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 10.344 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 10.345 * * * * [progress]: [ 28 / 76 ] simplifiying candidate # 10.345 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 10.345 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 10.345 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 10.345 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* (* p p) 4))))))) (- (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)) (* 0.5 0.5)))))> 10.345 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 10.345 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 10.345 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 10.345 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 10.345 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 10.346 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 10.346 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 10.346 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 10.346 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 10.346 * * * * [progress]: [ 42 / 76 ] simplifiying candidate # 10.346 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 10.346 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 10.346 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 10.346 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 10.346 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 10.346 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* (* p p) 4)))))))) (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (- (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)) (* 0.5 0.5)))))> 10.347 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 10.347 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 10.347 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 10.347 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 10.347 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 10.347 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 10.347 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 10.347 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 10.347 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 10.347 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 10.347 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 10.348 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 10.348 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 10.348 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 10.348 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 10.348 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* (* p p) 4)))))))) (/ x (sqrt (+ (* x x) (* (* p p) 4)))))) (+ (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) (- (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)) (* 0.5 0.5)))))> 10.348 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 10.348 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 10.348 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 10.348 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 10.348 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 10.348 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 10.348 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 10.349 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 10.349 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 10.349 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 10.349 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 10.349 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 10.350 * [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)))) (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)))) (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)))) (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)))) (* 2 p) x (* -1 x) (* 2 p) x (* -1 x) (* 2 p) x (* -1 x) (* 2 p) x (* -1 x) 10.352 * * [simplify]: iteration 1: (42 enodes) 10.371 * * [simplify]: iteration 2: (98 enodes) 10.397 * * [simplify]: iteration 3: (257 enodes) 10.529 * * [simplify]: iteration 4: (741 enodes) 11.013 * * [simplify]: iteration 5: (1679 enodes) 12.197 * * [simplify]: Extracting #0: cost 19 inf + 0 12.197 * * [simplify]: Extracting #1: cost 30 inf + 3 12.197 * * [simplify]: Extracting #2: cost 65 inf + 90 12.198 * * [simplify]: Extracting #3: cost 265 inf + 713 12.205 * * [simplify]: Extracting #4: cost 283 inf + 26849 12.223 * * [simplify]: Extracting #5: cost 96 inf + 84854 12.260 * * [simplify]: Extracting #6: cost 15 inf + 120075 12.285 * * [simplify]: Extracting #7: cost 0 inf + 130360 12.315 * [simplify]: Simplified to: (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)))) (* (+ (* x x) (* (* p p) 4)) (sqrt (+ (* x x) (* (* p p) 4)))) (fabs (cbrt (+ (* x x) (* (* p p) 4)))) (sqrt (cbrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) 1 (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* (* (* p p) (* p p)) (* (* p p) 64)) (* (* (* x x) (* x x)) (* x x)))) (sqrt (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (- (* (* p p) 4) (* 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)))) (* (+ (* x x) (* (* p p) 4)) (sqrt (+ (* x x) (* (* p p) 4)))) (fabs (cbrt (+ (* x x) (* (* p p) 4)))) (sqrt (cbrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) 1 (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* (* (* p p) (* p p)) (* (* p p) 64)) (* (* (* x x) (* x x)) (* x x)))) (sqrt (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (- (* (* p p) 4) (* 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)))) (* (+ (* x x) (* (* p p) 4)) (sqrt (+ (* x x) (* (* p p) 4)))) (fabs (cbrt (+ (* x x) (* (* p p) 4)))) (sqrt (cbrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) 1 (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* (* (* p p) (* p p)) (* (* p p) 64)) (* (* (* x x) (* x x)) (* x x)))) (sqrt (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (- (* (* p p) 4) (* 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)))) (* (+ (* x x) (* (* p p) 4)) (sqrt (+ (* x x) (* (* p p) 4)))) (fabs (cbrt (+ (* x x) (* (* p p) 4)))) (sqrt (cbrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) 1 (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* (* (* p p) (* p p)) (* (* p p) 64)) (* (* (* x x) (* x x)) (* x x)))) (sqrt (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (- (* (* p p) 4) (* 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)))) (* p 2) x (- x) (* p 2) x (- x) (* p 2) x (- x) (* p 2) x (- x) 12.332 * * * [progress]: adding candidates to table 13.336 * [progress]: [Phase 3 of 3] Extracting. 13.336 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 13.345 * * * [regime-changes]: Trying 2 branch expressions: (x p) 13.345 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # #) 13.453 * * * * [regimes]: Trying to branch on p from (# # # # # # # # # # # # #) 13.567 * * * [regime]: Found split indices: #